The average change in the temperature of the city is 0.87°C.
The average quantity is the sum of all quantities divided by the number of quantities.
In the question, we are informed that a newspaper reports the changes in the temperature of the city over 4 days to be 3.24°C, - 3/8 °C, - 0.15 °C, and 7/9 °C.
We are asked to write an expression to show the daily average change in the temperature of the city.
As we know, the average quantity is the sum of all quantities divided by the number of quantities.
Thus, average = {(3.24 - 3/8 -0.15 +7/9)/4} °C,
or, average = {{324/100 - 3/8 - 15/100 + 7/9}/4} °C,
or, average = [{(23328 - 2700 - 1080 + 5600)/7200}/4] °C,
or, average = 25148/28800 °C,
or, average = 6287/7200 °C = 0.8732 °C ≈ 0.87 °C.
Thus, the average change in the temperature of the city is 0.87°C.
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Expand & simplify 6 ( f + 5 ) − 4 ( f − 6 )
After simplification, the value of the expression is,
⇒ 2f + 54
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 6 ( f + 5 ) - 4 ( f - 6 )
Now, Simplify the expression as;
⇒ 6 ( f + 5 ) - 4 ( f - 6 )
⇒ 6f + 30 - 4f + 24
⇒ 2f + 54
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The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
0 5
1 0, 3, 7
2 4, 6, 8
3 2
4
5 8
Key: 5|8 means 58
What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability, and it equals 18.5.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 18.5.
Answer:
(d) The IQR is the best measure of variability, and it equals 18.5.
Step-by-step explanation:
You want to know the best measure of variability for the data in the given stem-and-leaf plot.
0 | 51 | 0, 3, 72 | 4, 6, 83 | 24 |5 | 8StatisticsThe attachment shows the values of interest are ...
Range = 58 -5 = 53
IQR = 30 -11.5 = 18.5
Measure of variabilityYou can see from the shape of the stem-and-leaf plot that the mean and median are near 24, and most of the data is clustered in that neighborhood. The outlier at 58 skews the distribution to the right.
Since the data has an outlier, we choose the IQR as a better measure of the variability than the range is.
The IQR is the best measure of variability, and it equals 18.5.
__
Additional comment
Neither the IQR nor the range is 45. The range is definitely not 18.5. This means the answer choice we have selected is the only true statement about the data set. (It will often be the case that the only answer that is a true statement is the correct answer.)
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Taylor splits 5 pounds of ham equally to make 10 sandwiches. He thinks each sandwich will recieve 2 pounds of ham. Is he correct? explain
Answer: No
Step-by-step explanation: 5 pounds of ham would mean that 5 people get 1 pound, and 10 people would get 1/2 pound or 0.5 pounds of ham each.
Answer: No
Step-by-step explanation: Step 1: Calculate the total amount of ham needed for 10 sandwiches. This is 10 x 2 = 20 pounds.
Taylor is not correct, as he does not have enough ham to make 10 sandwiches with 2 pounds of ham in each.
Which of the following are statistics?
a. X
b. µ
c. α
d. s
e. α^2/n
Answer:
Letter B is the statistic.
Lin ran 2 3/4 miles in 2/5 of an hour.
Noah ran 8 2/3 miles in 4/3 of an hour.
b. How long would it take Lin and Noah to run 1 mile at that rate? Show work on the sketch.
The time it would take Lin to run 1 mile is 8/55 hour
The time it would take Noah to run 1 mile is 2/13 hour
Calculating how long it would take to run 1 mileFrom the question, we are to calculate how long it would take Lin and Noah to run 1 mile
From the given information,
Lin ran 2 3/4 miles in 2/5 of an hour
Thus,
Lin's speed = (2 3/4) ÷ 2/5
Lin's speed = 11/4 ÷ 2/5
Lin's speed = 11/4 × 5/2
Lin's speed = 55/8 miles/hour
Now, to determine how long it would take Lin to run 1 mile
Using the formula,
Time = Distance / Speed
Time = 1 / (55/8)
Time = 8/55 hour
Also,
Noah ran 8 2/3 miles in 4/3 of an hour
Thus,
Noah's speed = (8 2/3) ÷ 4/3
Noah's speed = 26/3 ÷ 4/3
Noah's speed = 26/3 × 3/4
Noah's speed = 26/4
Noah's speed = 13/2 miles/hour
Now, to determine how long it would take Noah to run 1 mile
Using the formula,
Time = Distance / Speed
Time = 1 / (13/2)
Time = 2/13 hour
Hence, it will take 2/13 hour
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What is substitution reaction explain with two examples?
The reaction in which one (or more) hydrogen atoms of a hydrocarbon are replaced by some other atoms (like chlorine), is called a substitution reaction.
Substitution reaction is a type of chemical reaction in which an atom, ion, or group of atoms or ions in a molecule is replaced by another atom, ion, or group.
The examples of substitution reactions are as follows:
1. Reaction of copper with zinc sulphate gives zinc with copper sulphate by replacing the zinc with copper.
[tex]Cu + ZnSO_{4}[/tex] → [tex]CuSO_{4} + Zn[/tex]
2. Reaction of magnesium with copper sulphate gives magnesium sulphate with copper by replacing copper with magnesium.
[tex]Mg + CuS0_{4}[/tex] → [tex]MgSO_{4} + Cu[/tex]
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Find the measurement of V.
On solving the provided question, we got to know that - they are perpendicular, they are perpendicular and they are intersecting lines
what are perpendicular lines?A straight line that intersects another straight line at a 90° angle is said to be perpendicular. A little square is placed in the middle of two vertical lines to represent a 90° angle, often known as a right angle, as illustrated. The two straight lines in this instance are perpendicular to one another since they connect at a right angle.
1) For this case, we have to define perpendicular lines:
Angle y = angle H
10x-27 - 2x + 29
x = 32
they are perpendicular
2) they are perpendicular
3) they are intersecting lines
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if Mr.Kimble gets 12.6 gallons of gas for each of his 15 trips to the gas station over the summer, how much money did he spend altogether on gas?
Mr.Kimble spent an amount of $636.17 altogether on gas.
What is the idea price of Gas per gallon today?Today, the US Retail Gas Price is at a current level of 3.366, up from 3.331 last week and down from 3.381 one year ago. Hence, the amount of $3.366 will be used in our computation.
Data
He used 12.6 gallons of gas for each of his 15 trips.
The total amount of money spent altogether on gas if the price is $3.366, is computed as follows:
= ($3.366 * 12.6 gallons) * 15 trips
= $42.4116 * 15 trips
= $636.17400
= $636.17.
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How do you find the missing coordinate using the midpoint formula?
The midpoint formula is used to find the center point of a line segment, given the coordinates of the two endpoints. The formula is as follows:
Midpoint = ( (x₁+ x₂) / 2, (y₁ + y2) / 2 )
Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints of the line segment.
To find the missing coordinate using the midpoint formula, you would need to have the coordinates of one endpoint, as well as the coordinates of the midpoint. Then, you can use the formula to solve for the missing coordinate.
For example, if you have the coordinates of one endpoint as (3, 5) and the coordinates of the midpoint as (4, 6), you can use the formula to solve for the missing endpoint:
Midpoint = ( (3 + x₂) / 2, (5 + y₂) / 2 )
(4, 6) = ( (3 + x₂) / 2, (5 + y₂) / 2 )
So, by solving above equation we can get the missing coordinate
(x₂, y₂) = (5,7)
In conclusion, the midpoint formula can be used to find the missing coordinate of a line segment by using the coordinates of one endpoint and the midpoint. It is a simple and efficient way to find the missing coordinate when working with geometric shapes.
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How do you enlarge a shape by scale factor 3 center?
To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the center and through each of the edges. We refer to these as ray lines. E.g. The triangle ABC in this example has been scaled up by a factor of two around the enlargement's Centre, point O.
What is Centre of enlargement?By multiplying the original shape by a scale factor, we can change the size of the shape and make it bigger or smaller. This type of modification is called an expansion.To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the Centre and through each of the edges. We refer to these as ray lines.E.g.
In this instance, scale factor 1 has been used to increase triangle ABC.A Centre of enlargement point O is surrounded by 3 3 1s. The form gets smaller if the enlargement is between 0 0 and 1 1. The new triangle has the letters A, B, and C.The lengths of the new shape's sides are one-third that of the sides of the original shape.Parallel lines connect the groups of corresponding sides.The angles are the same in both shapes, and the triangles resemble one another.Mathematical mappings include transformations like enlargements. The word "maps" is thus frequently used in questions.An instruction in mathematics is a mapping, and an instruction in mathematics that affects a shape is a transformation.To Learn more About Centre of enlargement, refer To:
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To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the center and through each of the edges. We refer to these as ray lines. E.g. The triangle ABC in this example has been scaled up by a factor of two around the enlargement's Centre, point O.
What is Centre of enlargement?By multiplying the original shape by a scale factor, we can change the size of the shape and make it bigger or smaller. This type of modification is called an expansion.
To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the Centre and through each of the edges. We refer to these as ray lines.
E.g.
In this instance, scale factor 1 has been used to increase triangle ABC.
A Centre of enlargement point O is surrounded by 3 3 1s. The form gets smaller if the enlargement is between 0 0 and 1 1. The new triangle has the letters A, B, and C.
The lengths of the new shape's sides are one-third that of the sides of the original shape.
Parallel lines connect the groups of corresponding sides.
The angles are the same in both shapes, and the triangles resemble one another.
Mathematical mappings include transformations like enlargements. The word "maps" is thus frequently used in questions.
An instruction in mathematics is a mapping, and an instruction in mathematics that affects a shape is a transformation.
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What does 1 2 scale mean?
If the scale factor is a fraction, the shape will be smaller. This is called reduction. Therefore, a 1/2 scaling factor means that the new shape is half of the original shape.
What is 1 2 scale?Half scale is 1:2. It is helpful to think of this as one unit on the drawing equals two units on the object. A small object can be enlarged on the paper and drawn in 2:1 scale. This means the drawing of the object is twice as large as the object itself.This means that one unit on the page represents one unit in 'real life'. If a drawing is drawn HALF the actual size of the object, the scale is 1:2. This means that one unit on the page is equal to two units in real life.They are a reference to the original drawing size. For example, if a drawing file is currently sized at 24″x36″, then a full size print of that file would be 24″x36″. A half size print, or 50% reduction, of the same 24″x36″ original would be 12″x18To learn more about 1 2 scale refers to:
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If the scale factor is a fraction, the shape will be smaller. This is the so-called recovery. So a scale factor of 1/2 means that the new shape is half the original shape.
What is Scale 1 2?Half scale is 1.
2. It is convenient to imagine that 1 unit on the drawing is equal to 2 units on the object. You can enlarge small objects and draw them on paper 2:
1 scale. This means that the drawing of the object is twice the size of the object itself.
This means that the units on the page represent "real life" units. If the drawing is drawn at half the actual size of the object, the scale is 1.
2. This means that 1 unit on the page is equivalent to 2 actual units.
These are references to the original drawing sizes. For example, if your drawing file is currently 24" x 36", it will be 24" x 36" when printed at full size. A print half the size of the same 24" x 36" original or a 50% reduction will be 12" x 18".
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What transformation has changed the parent function f(x) = log2x to its new appearance shown in the graph?
A. f(x + 3)
B. f(x − 3)
C. f(x) + 3
D. f(x) − 3
The answer is Option D) f(x)-3
what is the logarithmic function?In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as For x > 0, a > 0, and a ≠1, y= logₐ x if and only if x = a^y Then the function is given by f(x) = logₐ x The base of the logarithm is a. This can be read it as log base a of x.
Given here: f(x)=log2x
Now in the attached graph we clearly see that f(x)-3 is the graph that looks identical to the one given in the graph.
Hence, option D is the correct answer.
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you need to rent a video camera for your school project. Murphy’s camera charges a $30 rental fee plus $35 per day. Allied rental charger is at $45 rental fee plus $30 per day. Which company should you choose?
Answer:
Step-by-step explanation:
Murphys camera
30+35 = $65 - Murphys is cheaper
45+30= $75
Hideki buys 2 sweaters for $18 each. He can use one of the following coupons :
Coupon 1: Buy one, get one 40% off
Coupon 2: 25% off entire purchase
Which coupon should Hideki use to get a better deal?
Hideki should use coupon 2 to get a better deal.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Hideki buys 2 sweaters for $18 each.
Coupon 1: Buy one, get one 40% off
Here, 40% of 18
= 40/100 ×18
= 0.4×18
= $7.2
So, cost of entire purchase 2(18)-7.2
= 36-7.2
= $28.8
Coupon 2: 25% off entire purchase
25% of 2(18)
= 25/100 ×36
= 0.25×36
= $9
Now, 36-9 =$27
Therefore, Hideki should use coupon 2 to get a better deal.
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Find the values of a and b such that
X^2 + 2x - 7 = (x + a)^2 + b
The values of a and b are 1 and -8 respectively.
What are the values of a and b?[tex]x^{2} + 2x- 7 = (x+a)^{2}+b[/tex]
Let us consider the Right Hand Side of the given equation.
[tex](x+a)^{2}+b = x^{2} +2ax+a^{2} +b\\[/tex]
So,
[tex]x^{2} + 2x- 7 = x^{2}+2ax+a^{2}+b\\\\= x^{2}+2x(1)+1^{2}-8\\\\= (x+1)^{2} -8\\\\[/tex]
Here, a = 1 and b = -8
What is an equation?Equation is also known as a statement of equivalence between two expressions with variable and/or number-based components. Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity. Numerous physics laws are expressed using them. likewise see equation system. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship.To learn more about equation, refer:
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What does it mean that stocks and bonds are relatively liquid? a. They are easier to buy and sell than other forms of investment. b. They tend to go up and down in value. c. The amount of income they can bring changes frequently. d. There are more of them to choose from than other forms of investment. Please select the best answer from the choices provided Group of answer choices A B C D
The correct option a. They are easier to buy and sell than other forms of investment, describes the relatively liquid.
Define the term relatively liquid bonds?A type of debt fund known as "liquid funds" mostly invests in higher financing instruments with 91-day maturities.
Liquid money are allocated to bank deposits, t - bills, bills of exchange, and other assets.Compared to other investment options, they are simpler to buy and sell. When an asset is described as liquid, it simply indicates that it can be quickly changed into cash. Because there will always be a buyer and a seller willing to exchange money for the stock or bond, liquid bonds and stocks are simpler to sell and buy.Thus,
Liquid assets are those that are challenging to buy, sell, or convert into cash.
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Please help thankyou:)
The total volume of the object is 40 in³
What is the volume of a solid object?The volume of a solid object encompasses the space and capacity that the object can occupy. Here, we have two shapes that make up the solid object, a cylinder, and a sphere. A cylinder is an object that resembles a tube and has two circular sides with the same radius linked by a flat round surface.
The volume of the cylinder is calculated by using the formula:
V = πr²h
where; π = 3V = 3 * 2² * 3 ..... (since radius r = d/2 = 4/2 = 2)
V = 3 * 4 * 3
V = 36 in³
The volume of the sphere = 4/3 πr³
V = 4/3 * 3 * 1³
V = 4 in³
The total volume of the object = volume of the cylinder + volume of the sphere
The total volume of the object = 36 in³ + 4 in³
The total volume of the object = 40 in³
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If you pay $12.80 for 8 extra large bags of cheetos, how much will 1 bag cost you?
Answer:
12.80/8=1.6
$1.60 for one bag of cheetos
Step-by-step explanation:
Answer: $1.6 for 1 bag
Step-by-step explanation:
We can divide 12.80 by 8 = 1.6 to find the answer to your question
Mrs. Wright is planning her best friend's baby shower. She calculates that the food will cost $9 per guest, and she has already spent $43 on decorations.
Based on the questions, 13 guests are attending her best friend’s baby shower.
How did we get 13 guests as a result?Firstly, we need to write down the numbers that are already stated in the question.
The food will cost around $9 per guests. She spent $43 on decoration for the event. Then, she can afford to spend $160 for the event.43 + 9 × х = 160
Secondly, move the x to continue counting.
9x = 160 – 43
Thirdly, calculate the numbers above.
9x = 117
Then, move the X to get the answer.
X = [tex]\frac{117}{9}[/tex]
Lastly, try to finish the division.
X = 13
In conclusion, the result shows that 13 guests attend Mrs. Wright’s best friend's baby shower.
The above question is about the algebraic word problem.
A word problem is a math question written in a short story scenario. Usually, it is a simple short story that is easy to understand.
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What is the slope of Y 10x?
Please help? This assignment is due in 23 minutes and is still have 7 more questions :(
The average person in a slum in a developing region uses 1.32 gallons (5 liters) of water every day. If the average shower in the US uses 7.5 gallons of water a minute how long of a shower would it be to use 1.32 gallons?
One gallon equals 16 eight ounce glasses of water.
A one-minute shower consumes how many gallons?According to the EPA, conventional shower heads utilize 2.5 gallons of water each minute. For the normal shower, that’s 20 gallons of water! To help lower your water impact, try trimming three minutes off your shower time. Delivering, purifying, and boiling hot water for your shower also consumes a lot of energy.
To determine the average shower water use, multiply the average flow rate of 2.1 gallons per minute by the average shower time of 8.2 minutes. So, 17.2 gallons is the average amount of water utilized. A 10-minute shower will consume 21 gallons of water. The amount of water consumed in the shower may quickly add up.
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can someone pls do this i'm lazy
Answer:
Here ya go lazy one
Step-by-step explanation:
1 - 0.62 x 2 = 1.24
2 - 0.5 x 9 = 4.5
3 - 3.6 x 8 = 28.8
4 - 5.1 x 7 = 35.7
5- 4 x 2.3 = 9.2
Mark me brainliest lazy one <3
Where can you buy a ruler that is 3 feet long worksheet answer key?
Therefore , the solution of the given problem of expression comes out to be 3 feet long ruler can be bought from yard sale.
What does expression actually mean?An analytical formula must be verified by replacing each parameter with a number or performing mathematical operations. Since 79 + 8 = 87, the response variable in the prior case is the same as 6. We can substitute values for the variables that we are familiar with in order to evaluate the expression.
Here,
Given : a ruler that is 3 feet long
where to buy
thus,
We can find the ruler which is 3 feet long can be bought from yard sale.
Therefore , the solution of the given problem of expression comes out to be 3 feet long ruler can be bought from yard sale.
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Which correctly describes how to determine the measure of angle 1? 2 parallel lines are crossed by a transversal to form 8 angles. clockwise from top left, the angles are 105 degrees, blank, blank, blank; blank, blank, 2, 1. the 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 105°. angles 1 and 2 are supplementary angles so angle 1 must measure 75°. the 105° angle and angle 2 are corresponding angles so angle 2 must measure 105°. angles 1 and 2 are supplementary angles so angle 1 must measure 75°. the 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 75°. angles 1 and 2 are supplementary angles so angle 1 must measure 105°. the 105° angle and angle 2 are corresponding angles so angle 2 must measure 75°. angles 1 and 2 are supplementary angles so angle 1 must measure 105°.
Option A is the correct answer. the 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 105°. angles 1 and 2 are supplementary angles so angle 1 must measure 75°.
Two angles are called supplementary when their measures add up to 180° degrees. These angles form a straight angle when they are put together.
Angle 1 and angle 2 are supplementary if Angle1+Angle2= 180°.Thus, Angle 1 and Angle 2 are called "supplements" of each other.
Two angles that lie on opposite sides of the transversal and are placed on two different lines are called alternate exterior angles. These pairs of angles are always equal if the two given lines are parallel.
Two exterior angles that lie on two different lines cut by a transversal and are placed on opposite sides of the transversal are called alternate exterior angles.
Here,105 and ∠2 are alternate exterior angles, ∠2=105 degrees.
Angles 1 and 2 and supplementary
so 180 - ∠2 = ∠1
180-105=75.
∠1 =75 degrees.
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Answer:
A
Step-by-step explanation:
t = 3p/r + s
make r the subject of the formula
Answer:
\frac{3t}{t-1}[/tex]Step-by-step explanation:[tex]t = \frac{r}{r - 3}[/tex]Cross multiply,t(r - 3) = rtr - 3t = r tr = r + 3t tr - r = 3t r(t -1) = 3t
Step-by-step explanation:
Making the r as subject of the formula for the given expression t = 30p/r + s is given by, r = 30p/(t - s).
Given the expression is,
t = 30p/r + s, where p, r, s and t are mathematical variables.
We have to make the r the subject of the formula that is we have to express the variable ' r ' in terms of the other variables in the given expression.
t = 30p/r + s
t - s = 30p/r
r/30p = 1/(t - s)
r = 30p/(t - s)
Hence the rearranged form of the given expression is r = 30p/(t - s).
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Camila and her children went into a grocery tore and where they ell apple for $0. 50 each and mange for $0. 75 each. Camila ha $7. 75 to pend and mut buy no le than 11 apple and mango altogether. IfCamila decided to buy Rapple. Determine the maximum number of mango that he could buy. If there are no poible olution, hmit an empty amont
The maximum number of mangos that she could buy = 9
Let x represents the number of apples and y represents the number of mangos.
Given that:
the cost of each apple = $0.50
and the cost of each mango = $0.75
Camila has $7. 75 to spend.
This means, the total cost of apples and mangos together must be less than or equal to 7.75
So, we get an inequality,
0.50x + 0.75y ≤ 7.75
And she must buy no less than 11 apples and mangos altogether.
x + y ≥ 11
consider a system of equations.
0.50x + 0.75y = 7.75
x + y = 11
If we solve this system of equations we get x = 2 and y = 9
So, she can buy at most 9 mangos.
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How much will you pay for a hat that costs $24.99 if tax is 7.5%?
Answer:
The cost of the hat with 7.5% tax would be $26.87
Step-by-step explanation:
($24.99 * 0.075) = $26.87.
Need help with this pls and thanks
Answer:
J
Step-by-step explanation:
Short to the point way compare it by Up to Down
4/9
Answer:
G
Step-by-step explanation:
a proportional relationship is defined by
y = ax
that means, if x = 0, then also y = 0.
let's look at the slope (the constant of change) :
y coordinate change / x coordinate change
when going from 1 point to another in the line.
we see e.g. for (4, 9) and (5, 12)
x changes by +1 (from 4 to 5).
y changes by +3 (from 9 to 12).
the slope is +3/+1 = 3.
but the slope cannot be the "constant of proportionality" ("a" above), because starting e.g. from (2, 3) to get to x = 0 would mean
x has to change by -2 (= -2×1).
and then y has to change by -6 (= -2×3) to keep the same slope "alive".
and so, for x = 0, we would get y = -3. but not 0.
the only equation with slope 3 (the factor of x, yes) is in G.
therefore, G is the right answer.
we can also check, when using x = 4, x = 5 and x = 2, we get the given y-values (9, 12, 3) from y = 3x - 3.
so, it is correct.
What is standard exponential form?
The Standard Exponential form is defined as the way of expressing a very large or very small number .
What is Standard Exponential form ?
The standard Exponential for is defined as a the representation of large numbers or small numbers. The exponents are used to represent such numbers in standard form.
The Steps to write a large number in exponential form are :
Consider the number 48600000000 ;
(i) Count the number of the trailing zeros in the given number.
(ii) Use the beginning of number to write digits from left till the last non-zero digit followed by a 10 raised to power equal to number of trailing zeros.
(iii) Place the decimal point after the first digit from the left side and add the number of decimal places created to the power of 10.
For example, in 48600000000 we place a decimal point after 4, then two decimal places will be created in the number 4.86 .
So, we will add 2 to the existing power of 10 , that was 8 as there were 8 trailing zeros, but now they become 10.
Therefore, the standard exponential form of the number 48600000000 is [tex]4.86 \times 10^{10}[/tex].
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A piece of wood is 1212 feet long, and a nail is 33 inches long. The piece of wood is how many times as long as the nail?.
The piece of wood is as long as 48 nails. It is the quotient of the length of wood by the length of nail. In calculation, they should have the same unit length, that is inch.
How to convert feet into inches?One foot is equal to 12 inches.
Mathematically, it is expressed as
1 ft = 12 in
A piece of wood is 12 feet long. The nail has the length of 3 inches. Find the number of the nails so it equals the length of the piece of wood!
The length of piece of wood in inches would be
12 feet = 12 × 12 inches
12 feet = 144 inches
The number of nails needed so that the length would be as long as a piece of wood is
= length of wood / length of nail
= 144 inches / 3 inches
= 48 nails
Hence, a piece of wood is equal to 48 nails.
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