The cost per pint of juice $0.63875.
What is division?
Division, or the process by which two or more numbers are joined together to generate a new number, is one of the four basic arithmetic operations. Addition, subtraction, and multiplication make up the remaining operations.
Weight of juice for a classroom party is 5 gallons.
Total price is $25.55.
We know that 1 US liquid pint = 0.125 US liquid Gallon
=> 0.125 US liquid Gallon = 1 US liquid pint
Therefore, 5 US liquid Gallon = 5/0.125 US liquid pint
=> 5 US liquid Gallon = 8*5 US liquid pint
=> 5 US liquid Gallon = 40 US liquid pint
Now, the required price is 25.55/40 = $0.63875
Hence, the cost per pint of juice $0.63875.
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graph y=1/3x+5 PLS HELP ASAP
Answer:
Graph attached.
Step-by-step explanation:
Given equation:
[tex]y=\dfrac{1}{3}x+5[/tex]
The given equation is a linear equation in slope-intercept form, where 1/3 is the slope and 5 is the y-intercept.
To graph the equation, find and plot at least two points, then draw a straight line through them.
To find the points on the line, input values of x into the equation:
[tex]x = 0 \implies y=\dfrac{1}{3}(0)+5 \implies (0,5)[/tex]
[tex]x=3 \implies y=\dfrac{1}{3}(3)+5 \implies (3,6)[/tex]
[tex]x=6 \implies y=\dfrac{1}{3}(6)+5 \implies (6,7)[/tex]
See attachment for the graph of the given equation.
Find some points
x=0
y=5x=3
y=1+5=6x=-3
y=-1+5y=4Graph attached
39. Solve for x. SHOW ALL WORK FOR FULL CREDIT m n 6x-4 112°
Answer:
x = 12
Step-by-step explanation:
6x - 4 and 112 are same- side interior angles and sum to 180° , that is
6x - 4 + 112 = 180
6x + 108 = 180 ( subtract 108 from both sides )
6x = 72 ( divide both sides by 6 )
x = 12
Answer:
x = 12
Step-by-step explanation:
Consecutive Interior Angles Theorem
When a straight line intersects two parallel straight lines, the consecutive interior angles formed are are supplementary (sum to 180°).
Therefore:
⇒ 6x - 4 + 112 = 180
⇒ 6x + 108 = 180
⇒ 6x + 108 - 108 = 180 - 108
⇒ 6x = 72
⇒ 6x ÷ 6 = 72 ÷ 6
⇒ x = 12
The segment below is dilated by a scale factor of 22 to form I ′J ′ What is the measure of I ′J ′ ?
Answer:
18
Step-by-step explanation:
When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.
2*9 = 18
The diagram shows a field, ABCD, on horizontal ground. (a) There is a vertical post at C. From B, the angle of elevation of the top of the post is 19º. Find the height of the post.
Suppose that the annual rainfall in Ferndale, California, is known to be normally distributed, with a mean of 35.5 inches and a standard deviation of 2.5 inches. About 2.4% of the years, the annual rainfall will exceed how many inches? (Round your answer to one decimal place.)
The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.
What is the average annual rainfall?Generally, the equation for the probability is mathematically given as
[tex]P( X < x) = p( Z < x - \mu / \sigma)[/tex]
Therefore
[tex]P( X > x) = 0.021[/tex]
[tex]P( X < x ) = 1 - 0.021\\\\\p( X < x) = 0.979[/tex]
[tex]P( Z < x - \mu / \sigma) = 0.979[/tex]
The z score for the probability of 0.979 is 2.034, according to the table of z values.
[tex]x - \mu / \sigma \\\\x= 2.034[/tex]
In the given equation, replace the values of mu and sigma with their respective values, and then solve for x.
[tex]x - 35.5 / 2.5 \\x= 2.034[/tex]
In conclusion, The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.
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I need help with this question.
the point-slope form is:
y + 5 = -(9/11)*(x - 3)
How to get the linear equation?A line that passes through a point (x₁, y₁) and has a slope m, can be written in point-slope form as:
y - y₁ = m*(x - x₁)
Here we know that the line passes through (3, -5) and (-8, 4).
Then the slope is:
[tex]m = \frac{-5 - 4}{3 - (-8)} = \frac{-9}{11}[/tex]
And we can use (3, -5) as the point (x₁, y₁), then the point-slope form is:
y + 5 = -(9/11)*(x - 3)
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two vertices are 3x+10 and x+60 find x
The value of x such that the vertices 3x + 10 and x + 60 are equal is 25
What are vertices?Vertices are the endpoints or corners of a shape (such as triangle, square, rectangle and related shapes)
How to determine the value of x?The two vertices are given as:
3x + 10 and x + 60
The condition on the two vertices are not given.
So, we assume that the vertices are equal (as in the base angles of an isosceles triangle)
So, we have the following equation
3x + 10 = x + 60
Subtract x from both sides of the equation
2x + 10 = 60
Subtract 10 from both sides of the equation
2x = 50
Divide both sides of the equation by 2
x = 50/2
Evaluate the quotient
x = 25
Hence, the value of x such that the vertices 3x + 10 and x + 60 are equal is 25
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ramon is a parking lot attendant. he estimates that 30% of the cars in the lot are sedans, 10% are minivans, and 20% are suvs. he designs a simulation. let 0,1, and 2 represent sedans. let 3 represent minivans. let 4 and 5 represent suvs. let 6,7,8 and 9 represent other cars. the table show the simulation results. what is the probability that at least one of the next four cars the enter the lot is a sedan?
The probability that the nest set of cars that would enter the lot is a sedan is given as 80 percent
How to solve for the probabilityThe total number of trials can be seen to be 20 in number. The numbers that represents the sedan are 0, 1, 2
Now we would have to count the number of trials in these 20 that have 0, 1, 2
In the table we have 16 of these 0, 1 or 2 numbers
Hence we would have
16 /20
= 0.8
= 80 percent
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.....................
Answer: 5020
Step-by-step explanation:
10^3= 1000
1000*5.02=5020
A package of Toys Galore Cereal is marked "Net Wt. 13 oz." The actual weight is normally distributed, with a mean of 13 oz and a variance of 0.09.
(a) What percent of the packages will weigh less than 13 oz?
%
(b) What weight will be exceeded by 2.3% of the packages? (Round your answer to one decimal place.)
oz
The solution to the Questions are
P(z<0)=50%W=18.08ozWhat weight will be exceeded by 2.3% of the packages?where
u=13
n^2=0.16
[tex]\sigma=\sqrt{0.16}\\\\\sigma=0.4[/tex]
a)
Generally, the equation for is mathematically given as
[tex]X-N(u=13,\sigma=0.4)[/tex]
p(x<14)=P(z<\frac{13-13}{0.4})
P(z<0)
P=0.5
Therefore
P(z<0)=50%
b)
In conclusion
W=(u+2\sigma)
W=(13+2*0.4)
W=13+0.8
W=18.08oz
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Given the graph of g(x), describes the transformation of the parent function f(x)=2^x.
If the parent function is transformed by:
Shifting 1 unit to the right, the image function is given by g(x) = (x - 1)²Shifting 1 unit to the left, the image function is given by g(x) = (x + 1)².Shifting 1 unit downward, the image function is given by g(x) = x² - 1.Transformation of the parent function.The graph of the parent function is a parabolic curve which opens in the y-axis direction and with its vertex at the origin on a cartesian coordinate.
By critically observing the graph of this parent function [f(x) = x²], we can infer and logically deduce that the transformed curve is a downward opening parabola which has a vertex at (-5, -2).
Thus, if the parent function is transformed by:
Shifting 1 unit to the right, the image function is given by g(x) = (x - 1)²Shifting 1 unit to the left, the image function is given by g(x) = (x + 1)².Shifting 1 unit downward, the image function is given by g(x) = x² - 1.Read more on transformation here: https://brainly.com/question/17586310
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WILL GIVE BRAINLIEST
given: RTSU is a rectangle with vertices R (0,0), S (0, a), T(a,a) and U, (a,0) where a ≠ 0
Prove: RTSU is a square
look at image
The correct order of reasons that complete the proof about the rectangle and square is that D. definition of congruence, distance formula if two consecutive sides of a rectangle are congruent, then it's a square.
What is congruence?It should be noted that congruence simply means an agreement or a correspondence between shapes.
In geoemtry, it should be noted that figures are said to be congruent if it is possible to superpose one of them on another.
It should be noted that the opposite sides of a rectangle are parallel while in a square, all the sides that are given are equal.
Therefore, the correct order of reasons that complete the proof about the rectangle and square is the definition of congruence, and that if two consecutive sides of a rectangle are congruent, then it's a square.
In conclusion, the correct option is D.
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Explain how to draw a line segments that measures 2 7/16 inches.
Answer: draw the line using a ruler on which you have identified points 2 7/16 inches apart.
Step-by-step explanation: On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches long.
WHAT IS 5+6+6+^6 DIVDED BY 7
The value of the given expression is 11.57
Division of numberDivision are written as a ratio of two values. Given the expression below
5+6+6+2^6 ÷ 7
Simplify to have:
(11+6+64)÷ 7
Simplify the expression in parenthesis
81÷ 7
11.57
Hence the value of the given expression is 11.57
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I know question on central limit theorem has been asked numerous times
and I have searched around the website but still couldn't get what I wanted
to find out(probably most people who asked the question is stuck at
different parts of the theory).
Attached in my question is a lecture slide for the search for a
transformation of x that has a limiting distribution.I do not understand
why x and u is multiply by vn instead of n.Also,why when the statistic /n(x
-μ）is used，μbecomes zero?
Thank you in advance!
A carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other. The area of the rectangular table is represented by the expression (3 x)(one-half x).
A square with sides x. A rectangle with side one-half x and side 3 x.
What is the simplified expression for the area of the rectangular table?
Three-halves x squared
Three-halves x
Five-halves x squared
Five-halves x
The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
What is the area of the rectangular table?Since the carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other.
To find the area of the rectangular table, we know that Area, A = LW where
L = length and W = widthNow, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .
So,
let
length of the rectangular table = L = x/2 and width of rectangular = W = 3xSo, the area of the rectangular table A = LW
= x/2 × 3x
= 3x²/2
So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
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what the difference between graph and inequalities ?
what the difference between graphing lines and graphing inequalities?
You don't shade a region when graphing just a line, but you do when graphing an inequality.
It should be noted that a graph is a diagram representing a system of connections or interrelations among two or more things by a number of distinctive dots, lines, bars, etc.
How to illustrate the information?It should be noted that an inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions.
This is used most often to compare the two numbers on the number line by their size.
On the other hand, the graphing inequalities shows what part of the number line contains values that will be able to satisfy the given inequality.
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2. Which of the following graphs show a function with domain 1 ≤ x ≤ 6? Select two that
apply.
Answer:
Graphs A and B
Step-by-step explanation:
Graphs A & B are using x-values 1-6 and stop there, which is what the domain is trying to find. Though, for the other graphs, these graphs are rather starting at 1 via the domain, while not going up to 6 on the domain.
Given that y varies directly with x in the table, find the
value of y if the value of x is 5.
We know that this ratio is directly because the two magnitudes go up.
In this case we will get the proportionality constant by dividing any term of the second magnitude by the first.
For example:[tex]9 \: \div \: 3 \: = \: \boxed{3}[/tex]
Now that we know that k = 3, we can know how much "y" will be if x = 5.
We just multiply:
[tex]3 \: \times \: 5 \: = \: \boxed{ \bold{ 15}}[/tex]
Answer: y = 15Please answer ASAP need steps.
Answer:
The ANSWER is 1/2 x (3/5) : (9/15) (-6/4) : (4/1) = -3/16 = -0.1875
Step-by-step explanation:
Multiple: 1/2 * 3/5 = 1 · 3/2 · 5 = 3/10
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 10) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half multiplied by three fifths is three tenths.
Divide: the result of step No. 1 : 9/15 = 3/10 : 9/15 = 3/10 · 15/9 = 3 · 15/10 · 9 = 45/90 = 45 · 1/45 · 2 = 1/2
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 9/
15 is 15/9) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 45 gives 1/2.
In other words - three tenths divided by nine fifteenths is one half.
the result of step No. 2 * (-6/4) = 1/2* (-6/4) = 1 · (-6)/2 · 4 = -6/8 = -3 · 2/4 · 2= -3/4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-6, 8) = 2. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half multiplied by minus six quarters is minus three quarters.
Divide: the result of step No. 3 : 4 = -3/
4 : 4 = -3/4 · 1/4 = -3 · 1/4 · 4 = -3/16
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4/
1 is 1/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - minus three quarters divided by four is minus three sixteenths.
Let f(x)=4x-1 and g(x)=2x^2+3
(f+g)(x)
Step-by-step explanation:
(f+g)(x)=4x-1+2x²+3===> 2x²+4x+2
1. How much percent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gains 20% ?
2. When a bicycle is sold at marked price, a profit of 20% is earned by the seller. If a discount of 5% is allowed, the profit is only Rs. 180 earned by the seller. How much did the seller pay for the bicycle?
Answer:
1. 60%
2. He paid Rs. 1285.71
Step-by-step explanation:
1.
He buys an item for x.
He sells the item with a 25% of the marked price, and he still makes a 20% profit over his cost x.
He must sell for x + 20% of x which is the same as 1.2x.
Let the markup be y%.
Since he gives a 25% discount over the marked price, he sells for 75% of the marked price.
0.75(x + y% of x) = 1.2x
0.75(x + xy/100) = 1.2x
x + xy/100 = 1.6x
Divide both sides by x.
1 + y/100 = 1.6
Multiply both sides by 100.
100 + y = 160
y = 60
Remember that y is in percent, so the markup must be 60%.
Check:
He buys an item for $10.
He applies a markup of 60%. 1.6 × $10 = $16.
He has a price of $16 for this item.
Now he gives a 25% discount. That means the discounted price is 75% of the marked price.
75% of $16 = $12
He sells at a 25% discount for $12.
Compare the actual selling price after the 25% discount with this cost.
$12 compared to $10.
$12/$10 = 1.2 = 120%
Since he sells for 120% of the original price, the markup is 20% which is what he wanted.
2.
The cost to the seller is x.
If he sells it at a 20% profit, then he sells it for 1.2x
Now he gives a discount of 5%, so the final selling price after discount is
0.95(1.2x)
The profit is the difference between what he sold it for, 0.95(1.2x), and what he bought is for, x, and it is Rs. 180.
0.95(1.2x) - x = 180
1.14x - x = 180
0.14x = 180
x = 1285.71
Answer: He paid Rs. 1285.71
Assume that two fair dice are rolled. First compute P(F) and then P(FIE). Explain why one would expect the
probability of F to change as it did when the condition that E had occurred was added.
E: a three shows on at least one of the dice
F: the total is less than eight
...
The probability that a three shows on at least one of the dice is 11/36.
How to calculate the probability?It should be noted that of probability means the likelihood of the occurence of an event.
The probability that a three shows on at least one of the dice will be:
= 11/36
This can be seen from the table that is attached.
The probability that the total is less than 8 will be:
= 21/36
= 7/12
Here, there are 21 places where the total is less than 8.
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What’s the volume of this cone?
volume = (1/3) * π * r² * h
= 1/3* 22/7 * (3.5*3.5) * 5 ( 22/7 is the value of π)
=64.1
Answer:
If you need a pi in your answer: 20.417 [tex]\pi[/tex] (rounded to the nearest thousanth)
If you don't: 64.141 (rounded to the nearest thousanth)
Step-by-step explanation:
The formula of the volume of a cone: [tex]V = \pi r^2\frac{h}{3}[/tex]
--> V = Volume, r = Radius, h = Height
In other words, the volume of the cone is the area of the circle x height x 1/3 x pi.
Since the radius of the cone is 3.5, you square that number.
--> (3.5)^2 = 12.25
The height is 5, so h/3 will be 5/3.
The volume = [tex]\pi[/tex] x 12.25 x 5/3
--> 20.416666... [tex]\pi[/tex]
--> 64.14085....
Estimate and classify the critical points for the graph of the function
Please show work
The critical points of the function graphed are given as follows:
x = -1.5: Local maximum.x = -1: Local minimum.What are the critical points of a function?The critical points of a function are the values of x for which:
[tex]f^{\prime}(x) = 0[/tex]
In a graph, they are turning points, and are classified as follows:
Local maximum, if the functions changes from increasing to decreasing.Local minimum, if the functions changes from decreasing to increasing.Looking at the graph, the turning points are approximately:
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Solve the following system of equations algebraically:
y=x^2-x-22
y=x-7
The solution of the equations y=[tex]x^{2}[/tex]-x-22 and y=x-7 is that x=-3,5 and y=-10,-2.
Given equations y=[tex]x^{2} -x-22[/tex], y=x-7.
We are required to solve these equations for the value of x and y.
Equation is relationship between two or more variables expressed in equal to form.Equations of two variables look like ax+by=c.It may be a linear equation, quadratic equation and cubic equations.
The given equations are:
y=[tex]x^{2}[/tex]-x-22-----------1
y=x-7----------------2
Put the value of y from second equation in first equation.
x-7=[tex]x^{2}[/tex]-x-22
Solving
[tex]x^{2}[/tex]-x-x-22+7=0
[tex]x^{2}[/tex]-2x-15=0
[tex]x^{2}[/tex]-5x+3x-15=0
x(x-5)+3(x-5)=0
(x+3)(x-5)=0
x=-3,5
Put the values of x=-3 and 5 one by one to get the two values of y in second equation.
y=x-7
x=-3
y=-3-7
=-10
x=5
y=5-7
=-2
Values of y are -10 and -2.
Hence the values of x are-3 and 5 and values of y are -10,-2.
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The teenager from the question above rejoins the group and another teenager is picked at random.
What is the probability that the teenager picked at random is male and their favourite hobby is playing video games? You can simplify this fraction if you wish
Using it's concept, the probability that the teenager picked at random is male and their favorite hobby is playing video games is:
[tex]\frac{1}{16}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching this problem on the internet, it is found that out of 32 teenagers, 2 are males who prefer playing videogames, hence the probability is:
[tex]p = \frac{2}{32} = \frac{1}{16}[/tex]
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Find the area of the smaller sector. Round to the nearest tenth. 130 8.02
Answer:
73.0 m²
Step-by-step explanation:
[tex] A = \dfrac{n}{360^\circ}\pi r^2 [/tex]
[tex] A = \dfrac{130^\circ}{360^\circ}\pi (8.02~m)^2 [/tex]
[tex] A = 73.0~m^2 [/tex]
PLEASE HELP AND GIVE A FULL EXPLANATION I WILL GIVE BRAINLEST PLEASE SOMEONE
Answer:
shown in explanation
Step-by-step explanation:
a) ∆EPB similar to ∆ERG
b) angle BEP = angle GER (common angle shared)
angle EPB = angle ERG (corresponding angles, PB//RG, parallelogram)
therefore through Angle-Angle similarity test, ∆EPB is similar to ∆ERG
or explanation can also be shortened to
∆EPB is similar to ∆ERG (AA, similarity)
c) since proven they are similar ∆, then we can proceed to use property of ratio of corresponding sides being equal
[tex] \frac{pb}{rg} = \frac{ep}{er} [/tex]
RG = 200+300=500m
[tex] \frac{200}{500} = \frac{ep}{ep + 350} [/tex]
cross multiply (from what I've learnt)
2ep+700=5ep
ep= 700/3 = 233 ⅓m (answer for length EP)
Do the same for length BE(using ratio of corresponding sides)
[tex] \frac{be}{ge} = \frac{pb}{rg} [/tex]
[tex] \frac{be}{be + 400} = \frac{200}{500} [/tex]
cross multiply again to get:
5BE = 2BE + 800
BE = 800/3 = 266 ⅔ m (answer for length BE)
A rectangle has corners E, F, G, D, starting from top left and going clockwise. Point H is halfway between E and F. 2 lines are inscribed in the rectangle. One line goes from D to H and another goes from H to G. Angle E D H is (5 x) degrees and angle H D G is (4 x) degrees. Angles E D G and F G D are right angles. What is the measure of Angle EDH? 10° 40° 50° 90°
The measure of Angle EDH = 50°.
How to estimate the measure of Angle EDH?The angle EDH exists given as 5x° and the angle HDG exists given as 4x°. The angles EDG and FGD exist at right angles. That signifies both angles exist equivalent to 90°.
Angle EDH = 5x°
Angle HDG = 4x°
Angle EDG = 90°
5x + 4x = 90
9x = 90
Divide both sides by 9
x = 90/9
x = 10°
Angle EDH = 5x = 5 × 10 = 50°
The measure of Angle EDH = 50°.
Therefore, the correct answer is option c) 50°.
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