The final step in solving the inequality is to divide through by -2 and flip the sign
Solving InequalitiesFrom the question, we are to determine the final step in solving the inequality
The given inequality and the steps for solving are
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
The final step will be to divide both sides of the inequalities by -2 and then flip the sign
That is,
–6 < –2x
Divide both sides by -2 and flip the sign
3 > x
OR
x < 3
Hence, the final step in solving the inequality is to divide through by -2 and flip the sign
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A rock climber climbs at a rate of 720 feet per hour. Write and solve an equation to find the number of minutes
m it takes for the rock climber to climb 288 feet.
An equation that represents this situation is
The equation is y=12x.
It takes 24 minutes for the rock climber to get to 288 feet.
The calculation is as follows:
here we know that
One hour = 60 minutes
so, by dividing 720 from 60 we get 12
here we assume the time in minutes be x
So, the equation is
y = 12x
288=12x
288/12 = 12x/12
24 = x
A company produced 600 parts during first shift. The second shift produced 564 parts.
What is the percent change from first to second shift?
Reduced by 6%
In the first shift, they purchased 600 parts
the second time they purchased 564 parts
Percent = output/ total* 100here the second year they purchased a percentage
-> second shift/first shift*100 of the first year
564/600*100 ---> 564/6which gives 94%so it shows there is a reduction of 100-94 = 6%
As the second shift purchased 94 of them as compared to 100 in the first shift, So by this we can draw the inference that there is a drop of 6%.
Percent is the number out of 100 so here 36 parts are less than in the case of 600 which shows 6%. Moreover, the percentage gives a clear idea in terms of 100 which is more familiar as compared to their figures.
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How much is the cost per ticket?
Ride Tickets Cost
5 $7.50
7 $10.50
9 $13.50
10 $15.00
a cabinet holds shelves that are 12 1/2 inches apart. On one shelf, Katherine stacked a CD player that is 4 5/8 in. high on top of an amplifier that is 6 3/4 in. high. How much space was left above the CD player?
The space left above the CD player of height 4 5/8 in. stacked on the amplifier of height 6 3/4 in. in the cabinet which has shelves of 12 1/2 in. apart calculated as mixed fractions is 1 1/8 inches.
What is a mixed fraction?A mixed fraction is a fraction that is specified using the value of the quotient (the whole number part) and a fraction consisting of the remainder divided by the divisor.
The distance between the shelves of the cabinet = 12 1/12 inches
The height of the amplifier on a shelve of the cabinet on top of which Katherine stacks the CD player = 6 3/4 inches
The height of the CD player placed on top of the amplifier = 4 5/8 inches
The dimensions of the distance between the shelves and the heights of the CD player and amplifier are specified in fractions.
The space left above the CD player can be found in fractions as follows;
The combined height of the CD player and the amplifier is therefore;
[tex]H = 4\frac{5}{8} +6\frac{3}{4} = (4 + 6) + \left(\dfrac{5}{8}+\dfrac{3}{4} \right)[/tex]
[tex](4 + 6) + \left(\dfrac{5}{8}+\dfrac{3}{4} \right)=10 + \left(\dfrac{5+2\times 3}{8} \right) = 10 + \dfrac{11}{8}[/tex]
[tex]10 + \dfrac{11}{8} = 10 + 1\dfrac{3}{8} = 11\frac{3}{8}[/tex]
The space above the CD player is therefore;
[tex]12\frac{1}{2} - 11\frac{3}{8} = 12 - 11 + \left(\dfrac{1}{2} - \dfrac{3}{8} \right) = 1 + \left(\dfrac{4 - 3}{8} \right)[/tex]
[tex]1 + \left(\dfrac{4 - 3}{8} \right) = 1\frac{1}{8}[/tex]
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What is the formula of image of a line?
The formula of the image of a line is( l−p)/a = (m−q)/b = -2(ap+bq+c)/√a²+b²
What is the image of a line?
Typically, a little dash is used to identify a point's reflection, such as A'. This is said with a "prime." As a result, line AB's reflection is known as A'B'. The reflection is referred to as line AB's "image."
Here,
We have to determine the formula of the image of a line.
We concluded that
The mirror's "reflection" of the specified point P causes it to appear at an equal distance away on the opposite side of the line. To see this, move point P. According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").
Hence, the formula of the image of a line is( l−p)/a = (m−q)/b = -2(ap+bq+c)/√a²+b²
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HELP PLSS!! Find cos (A) given the triangle!!
Answer:
77.3
Step-by-step explanation:
Cos = Adjacent/Hypotenuse
Adjacent = 2.25 & Hypotenuse = 10.25
So that means...
Cos = 2.25/10.25
*When you type in the calculator type Cos-1 (2.25/10.25).
The answer is 77.319....
When you round it, it would become 77.3°.
Hope it's helpful.
How do you factor a polynomial with roots?
Finding the factors of the polynomial expression in the equation and then setting each factor to zero is one way to solve equations.
what are polynomials?A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.
Finding the factors of the polynomial expression in the equation and then setting each factor to zero is one way to solve equations. The same procedure also applies in reverse. In other words, we can identify factors for the expression if we know the root of the function.
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Every week day, your mom drives 3 miles to drop you off at school, 4 miles to drop your sibling off, then 6 miles home. She also does this every afternoon. How many miles does that make every week (Monday-Friday)?
Answer:
130 miles every week
Step-by-step explanation:
3 + 4 + 6
= 13
13 x 2
= 26
26 x 5
= 130
130 miles every week
Your welcome
Solve for x. Round to the nearest tenth of a degree, if necessary.
By using a trigonometric relation, we will see that the value of x is 60.57°
How to find the value of x?On the image, we can see a right triangle where x represents one of the angles.
We can see that the length of the two catheti are shown, such that the adjacent cathetus is 2.2, and the opposite cathetus is 3.9, then we can use the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
Then we can write:
tan(x) = 3.9/2.2
Using the inverse tangent function in both sides, we will get:
Atan( tan(x)) = Atan(3.9/2.2)
x = Atan(3.9/2.2) = 60.57°
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Julie has 15 nails. she uses 8 to build a birdhouse she subtracts to find the number of nails left. which addition sentence can she use to check her work
Answer:A
Step-by-step explanation:
.
Evaluate the expression, use calculator if needed.
Answer:
1/128 or 0.0078125, round as needed
Step-by-step explanation:
✨calculator✨
Can anybody help me with this math question
On solving the question Interval notation and set builder notation is x≤ −4 , x≥ -3
What is interval and set builder notation?This interval notation denotes that this set includes all real numbers between 8 and 12 where 8 is excluded and 12 is included. The set-builder notation is a mathematical notation for describing a set by representing its elements or explaining the properties that its members must satisfy.
We can write the given interval of a set in set builder form by using the required mathematical symbols and assuming a variable in each set. The interval given to us is \[\left( {6,12} \right)\] . Consider a symbol x to describe the element of the set or interval which is followed by a colon (:)
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy
Interval notation and set builder notation is x≤ −4 , x≥ -3
nterval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities
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Use a trigonometric ratio to solve for c. Round to two decimal places as necessary!!
HELP, and can someone explain how to get the answer?
solve for x. Round to the nearest tenth. with the numbers x , 17 , and 9.
The value of x is 14.4 to the nearest tenth.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
The triangle is a right-angled triangle.
Hypotenuse = 17 unit
Base = 9 unit
And perpendicular = x unit
Using Pythagoras' theorem,
Perpendicular = √{(hypotenuse)² - (base)²}
Perpendicular = √{(17)² - (9)²}
Perpendicular = √{289 - 81}
Perpendicular = √208
Perpendicular = 14.422
Perpendicular = 14.4 to the nearest tenth.
Therefore, the value of x is 14.4
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The complete question is given in the attached image.
What is the slope y =- 6?
The slope of the given expression is calculated using slope-intercept form. And the answer is 0.
How steep a line is or how much y climbs as x rises is determined by its slope. Slope compares changes to the y-axis, or the vertical axis, with changes to the x-axis, or the horizontal axis. The ratio of any two y values to any two x values can be used to calculate it.
By slope intercept, the standard equation is written as y=mx+b. Here, b is considered as the y-intercept, and m is considered as the slope. Then, the slope is calculated by comparing the given expression with this.
From the given expression, y = -6, we can tell the value of x is zero, the slope is also zero, and the y-intercept b is -6. Therefore, the required answer is 0.
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Brianna surveyed a representative sample of students at her school to collect data about the numbers of Internet-compatible devices they own. Brianna wants to know how many Internet-compatible devices are owned, on average, by people in her town. Can she use her sample data to form a valid inference about the town? Use the drop-down menus to explain your answer.
Brianna
Choose...
use her sample data to form a valid inference about the town because her school
Choose...
represent her town’s entire population.
I apologize for any confusion. Based on the information given, Brianna cannot use her sample data to form a valid inference about the town because it is not specified that her sample is random or representative of the entire population. Additionally, it is not clear what the population of the town is or how many people live in the town. The question is asking whether or not she can use her sample data to form a valid inference about the town based on the information given in the question. The answer is no, she cannot use her sample data to form a valid inference about the town.
How to convert XY coordinates to latitude and longitude in QGIS?
To convert XY coordinates to latitude and longitude in QGIS, you can use the "Layer > Save As" option in the main menu and select the "Lat Lon" option in the "CRS" (coordinate reference system) section or use the "Layer > Reproject Layer" option and select the destination CRS from the CRS list.
In QGIS, you can convert XY coordinates (also known as projected coordinates) to latitude and longitude (also known as geographic coordinates) using the "Layer > Save As" option in the main menu.
When you choose this option, a "Save Vector Layer As" dialog box will appear, in which you can select the "Lat Lon" option in the "CRS" (coordinate reference system) section.
Additionally, you can use the "Layer > Reproject Layer" option, if you have already loaded the layer in the map. By using this option you can select the destination CRS (Coordinate Reference System) from the CRS list.
It is important to note that to convert XY coordinates to latitude and longitude, QGIS needs to know the original projected coordinate system of the XY data, so it can accurately convert it to latitude and longitude. This information is called the "CRS" or "coordinate reference system" and is typically included with XY data in the form of a "PRJ" file or a metadata file.
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A group of 25 employee want to go out for a group dinner. 18 employee want to go to Retaurant A. 7 employee want to go to Retaurant B
The percentage of employees in Restaurant B is 28%
The term percentage in math is known as a relative value indicating hundredth parts of any quantity.
Here we have given that a group of 25 employees want to go out for a group dinner. And here we have also given the 18 employees want to go to Restaurant A and 7 employees want to go to Restaurant B.
Here let us consider that x be the percentage of employees works on Restaurant B.
Then the value of x is calculated as,
=> 7/25 x 100
=> 0.28 x 100
Therefore, the percentage of employees is 28%.
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3) Mr. Kelly, Mr. Brust and Mr. Sullivan all met by one common interest, THE BOBSLED! In fact they were pretty darn
good. In fact they were just one-thousandth of second from qualifying for the medals at the 1998 Nagano, Japan Winter
Olympics. While bobsledding they had to maintain a balance in terms of weight. The weight of the bobsled combined
with the weight of the three men couldn't be over 1200 pounds.
a) Make an inequality where x represents the weight of the bobsled and y represents the weight of the three men.
b) If the bobsled weighed 480 pounds what are all the possible weights of the three men combined?
c) Could the bobsled weigh 520 pounds and the men weigh 685 pounds? Why or why not?
Create an inequality where x represents the weight of the bobsled and y represents the weight of the three men. Graph the inequality below. Include proper labeling on each axis, units and shading.
How do you graph inequalities ?To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled inWhen solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.To learn more about graph inequalities refers to:
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If 2 1/4 + y= 5 3/4, what does y equal?
Answer:
y= 3 2/4
Step-by-step explanation:
2 1/4 + 3 2/4 = 5 3/4
Answer: y= 7/2 = 3 1/2 = 3.5
Step-by-step explanation:
2 1/4 +y=5 3/4
Multiply both sides of the equation by 4.
2×4+1+4y=5×4+3
Multiply 2 and 4 to get 8.
8+1+4y=5×4+3
Add 8 and 1 to get 9.
9+4y=5×4+3
Multiply 5 and 4 to get 20.
9+4y=20+3
Add 20 and 3 to get 23.
9+4y=23
Subtract 9 from both sides.
4y=23−9
Subtract 9 from 23 to get 14.
4y=14
Divide both sides by 4.
y= 14/4
Reduce the fraction 14/4 to lowest terms by extracting and canceling out 2.
y= 7/2
someone please helppp
The shape forms a pentagon. The value of y is 84°.
What is a polygon?
In geometry, a polygon is any closed curve made up of a series of line segments (sides) joined so that no two segments cross. Triangles (three sides), quadrilaterals (four sides), and pentagons are the simplest polygons (five sides).
The shape ABCDE forms a petagon.
The interior angle of a pentagon is 108°
The interior angle of a hexagon is 120°.
The ∠ABC is an angle of a regular hexagon, thus ∠ABC = 120°.
The ∠BCD is the angle of a regular hexagon, thus ∠BCD =120°.
The ∠BAE is an angle of a regular pentagon, thus ∠BAE=108°.
The ∠AED is an angle of a regular pentagon, thus ∠AED=108°.
The sum of all interior angle of a pentagon is 540°
Therefore,
∠ABC + ∠BCD + ∠BAE + ∠AED +∠EDC = 540°
120° + 120° + 108° + 108° + y = 540°
456° + y = 540°
y = 540° - 456°
y = 84°
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Given that A, O & B lie on a straight line segment, evaluate acute ∠COD
Given the rule of the Angles on a straight line ∠COD is equal to 30°
What is the rationale for the above answer?
Recall that the sum of angles on a straight line is 180°
This means that
3x+94 +x + 18 + 2x-4 = 180°
Let's solve your equation step-by-step.
3x+94+x+18+2x−4=180
Step 1: Simplify both sides of the equation.
3x+94+x+18+2x−4=180
3x+94+x+18+2x+−4=180
(3x+x+2x)+(94+18+−4)=180 (Combine Like Terms)
6x+108 = 180
6x+108=180
Step 2: Subtract 108 from both sides.
6x+108−108=180−108
6x=72
Step 3: Divide both sides by 6.
6x/6 = 72/6
x=12
Since x = 12, therefore, ∠COD is:
12 +18 = 30°
Thus ∠COD according to the sum of angles on a straight line is = 30°
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The length of the hypothesis of an isosceles right triangle is 8. Find the perimeter of the triangle with a picture
An isosceles right triangle has a perimeter of 16 square centimeters since the hypotenuse is 8 length.
what is perimeter ?A boundary is a closed path that surrounds, delimits, or includes a two-dimensional shape or a one-dimensional length. The outermost part of a circle or an ellipse is called the perimeter. The perimeter calculation has numerous real-world applications. A shape's perimeter is the measurement of its edge's radius. Discover how to calculate the perimeter by adding together the lengths of the sides of various forms. The perimeter of any shape can be calculated by multiplying its side lengths. An object's perimeter is the region that surrounds it. A good illustration of this at your house is a closed-off garden. Its perimeter is the space encircling something. For a 50 by 50 foot yard, a 200 foot fence will be required.
given
AC (hypotenuse) = 8 cm. ,
AB^2+BC^2 = AC^2
x^2+x^2 = 8^2
2x^2 = 64
x^2= 64/2=32
x = 4.2^1/2 cm.
Perimeter = {8 +4.(2)^1/2+4.(2)^1/2}
= {8+8.(2)^1/2}
=8(1+2^1/2) cm.
Area =( base×altitude)/2= (4.2^1/2×4.2^1/2)/2 = 16sq.cm.
An isosceles right triangle has a perimeter of 16 square centimeters since the hypotenuse is 8 length.
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plssss i’ll give points?
Perpendicular is an angle of 90° to a given line, plane, or surface means.
the equation is : y = ax+b
the equation is : y = ax+b
the slope is a : a×(1/4) = -1......( perpendicular to a line with a slope of 1/4) because
y=x/4 -2 means y = (1/4)x -2... the slope is : 1/4
but : a×(1/4) = -1 so : a = - 4 y= - 4x+b
the line that passes through (4, -1)
-1 =-4(4)+b
b = 15
the equation is : y = - 4x+15
What is the value of |238| + |−28| − |−14|?
224
196
280
252
Answer:
Step-by-step explanation:the answer is d
Answer:
252 my guy
Step-by-step explanation:
238 after absolute value is 238
-28 after absolute value is 28
-14 after absolute value is 14, but theres a negative infront of the number
therefore:
238+28-14
= 252
What is the equation of a line that passes through the points (10,4) and (20,8)? Write the equation in proper slope-intercept form.
Answer:
what is the difference between 880 and 580
Do the lengths 18cm 24cm and 30cm form a right triangle?
It is possible to construct a triangle whose sides are 18 cm 24 cm and 30 cm because the sum of two sides are greater than three sides.
In the given question, we have to check that it is possible to construct a triangle whose sides are 18 cm 24 cm and 30 cm.
The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.
To check this we firstly add the 18 and 24
18 + 24 > 30
42 > 30
Now we add 18 and 30
18 + 30 > 24
48 > 24
Now we add 24 and 30
24 + 30 > 18
54 > 18
It is possible to construct a triangle whose sides are 18 cm 24 cm and 30 cm because the sum of two sides are greater than three sides.
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Find the y-value that will make the equations below true by
graphing the lines on a coordinate plane and determining
where they intersect.
3x + y = -3
-2x + y = 2
NEED DONE BY 5:PM!!
Answer:
(-1,0)
Step-by-step explanation:
See attached graph. Use a free site such as DESMOS for graphing.
What is the maximum value of this function?
Answer:
9
Step-by-step explanation:
because the 9 is the highest point
Which system of linear inequalities does the graph represent?
{y≤2x−1y>−2x+3
{y>2x−1y≤−2x+3
{y<2x−1y≥−2x+3
{y≤2x−1y>2x+
Answer: The graph represents the system of linear inequalities: {y≤2x−1 y>−2x+3
This can be determined by analyzing the slopes and y-intercepts of the lines represented by the inequalities.
The first inequality, y≤2x−1, represents a line with a slope of 2 and y-intercept of -1. This line will be a solid line because it includes the y=2x-1.
The second inequality, y>−2x+3, represents a line with a slope of -2 and y-intercept of 3. This line will be a dashed line because it does not include the y=-2x+3.
The graph of this system of linear inequalities will be a shaded area that is above the dashed line and below the solid line. This area represents the solution of the system. The other options do not represent the correct system of inequalities.
Step-by-step explanation: