Complete the equation so that it represents the proportional relationship
shown in the table.

Answer:

12.5%

Step-by-step explanation:

percent change is calculated as

[tex]\frac{change}{original\\}[/tex]    x 100

change = 32 − 28 = 4 pages

[tex]\frac{4}{32}[/tex] x 100% = [tex]\frac{100}{8}[/tex] % = 12.5 %

Hope it helps

Answer:

see bottom

Step-by-step explanation:

divide through by 4

x2 - 2x - 3 = 0

x2 - 3x + x - 3 = 0

(x2 - 3x) + (x - 3) = 0

x(x - 3) + 1(x - 3) = 0

(x + 1) (x - 3) = 0

x + 1 = 0 and x - 3 = 0

x = -1 and x = 3

Answer:

70 baskets

Step-by-step explanation:

Let b be the number of baskets he will make if he shoots 100 baskets.

[tex]\frac{7}{10} =\frac{b}{100} \\700=10b (now divide by 10 from both sides)\\[/tex]

Answer:

12(3/4)=9

12/4=3

3•3=9

Answer:

67%

Step-by-step explanation:

out of 6 sections, 4 are white

therefore, 4/6 or 67% have a chance of landing in white areas

Answer:

(4,11/2)

Step-by-step explanation:

5x-2y=9

12x-8y=4

A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.

4(5x-2y=9)

Now we need to decide if we should add or subtract the equations.

20x-8y=36

12x-8y=4

Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.

20x-8y=36

-12x-8y=4

----------------

8x=32

Divide both sides by 8 to get the x-value:

[tex]\frac{8x}{8} = \frac{32}{8}[/tex]

x=4

Now that we have our x-value, we need to plug in the y-value.

5x-2y=9

5(4)-2y=9

20-2y=9

-2y=-11

y=11/2

So our solution is (4,11/2)

Let's check our work.

5x-2y=9

5(4)-2(11/2)=9

20-22/2=9

20-11=9

9=9

12x-8y=4

12(4)-8(11/2)=4

48-88/2=4

48-44=4

4=4

Our solution is correct.

Answer:

x=4,y=11/2

Step-by-step explanation:

5x−2y=9

12x−8y=4

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x−2y=9,12x−8y=4

To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.

12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4

Simplify.

60x−24y=108,60x−40y=20

Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.

60x−60x−24y+40y=108−20

Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.

−24y+40y=108−20

Add −24y to 40y.

16y=108−20

Add 108 to −20.

16y=88

Divide both sides by 16.

y=11/2

Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.

12x−8x11/2=4

Multiply −8 times 11/2.

12x−44=4

Add 44 to both sides of the equation.

12x=48

Divide both sides by 12.

x=4

The system is now solved.

x=4,y=11/2

Answer:

Step-by-step explanation:

Answer:

(54, 27)

Step-by-step explanation:

2y will represent the larger number.

2y + y = 81

3y = 81

y = 27

x = 2y

x = 2(27)

x = 54

x = 54

y = 27

(54, 27)

Answer:

Point, Line, Plane

Step-by-step explanation: They are undefined terms because its is easier to define them using examples rather than word for word

Answer:

3we

Step-by-step explanation:

rffd

Answer:

Does anyone watch shaurya aur anokhi ki on star plus an Indian serial you'll love it I guarantee

Here m = angle UST

angle UST= 90° - 32° = 58°

Answer:

pay for something and get money from ATM

Step-by-step explanation:

Answer:  14

Step-by-step explanation:

We arrange the number as -3,  1, 7, 8, 18, 19, 42, the old median is 8.

But the median has change to 11 when the number is add, which means that the number is between 7 and 18.

(8 + x)/2 = 11      Where x is the new number

8 + x = 22

x = 14

Answer:

14

Step-by-step explanation:

If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.

The given values are:

19, -3, 7, 1, 8, 18, 42

Let's write all the values in increasing order.

-3, 1, 7, 8, 18, 19, 42

There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.

Since the median must be 11, the value we need to add is x which must be greater than 8.

-3, 1, 7, 8, x, 18, 19, 42

(8 + x)/2 = 11

8 + x = 22

x = 14

Answer: 14

Answer:

Inequality is 15 = 7.5 + 1.5x

x = 5, he can buy 5 sour straws

Step-by-step explanation:

For the inequality, just set the total money he has (15) equal to the total cost of the nachos (7.5) and sour straws (1.5)

Since we don't know how many straws he can buy, use a variable, I used x.

You get 15 = 7.5 + 1.5x, which solved out gives you x = 5.

Hopefully this helps - let me know if you have any questions!

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

Answer:

[tex]1\frac{19}{20}[/tex]

Step-by-step explanation:

Answer:

the area of the large rectangle is 120m squared in the area of the smaller triangle is 14m squared

Answer:

Area of large rectangle = 120m²

Area of small rectangle = 14m²

Step-by-step explanation:

Large rectangle:

Length = 12m

Breadth = 10m

Area of rectangle = l × b

Area = 12 × 10

Area = 120m²

Small rectangle:

Length = 7m

Breadth = 2m

Area of rectangle = l × b

Area = 7 × 2

Area = 14m²

Answer:

101.6 (option b)

Step-by-step explanation:

12 * 3 = 36

36 + 4 = 40

40 * 2.54 = 101.6

Answer:

x=65 degrees

Step-by-step explanation:

It's a right angle because a line is equal to 180* and one side is a right angle so the other is one as well so 90*-25*=65*

Answer:

249

Step-by-step explanation:

301 - 52 = 249

Answer:

Step-by-step explanation:

lets have the shirts represent s and the ties t.

1. 6s+3t=79.50

2. 3s+2t=41

These would be the equations.

you multiply the second equation by -2 to cancel s and add both equations.

6s+3t=79.50

-6s+-4t=-82

-1t=-2.5 (after adding you divide by -1)

t=2.5

You can then subsitute that in either equation.

I am going to ue teh second one.

3s+2t=41

3s+2(2.5)=41

3s+5=41 (subract 5 to isolate variable)

3s=36 (divide by 3 to isolate variable)

s=12

Hence, one shirt is 12$.

Answer:

x*$10 + y*$16 = $480

Step-by-step explanation:

The question seems incomplete, and after a search online I've found a lot of similar questions with similar numbers, so I really can not be sure of which one is the complete question.

I suppose that we want to get a linear equation that describes the given situation:

Let's define two variables:

x = number of hours that Maggie works in the office (for $10 each)

y = number of hours that Maggie works driving a tractor (for $16 each).

Then the total amount of money that Maggie gets is:

x*$10 + y*$16

Now we know that she earns $480 per week, then we know that:

x*$10 + y*$16 = $480

This is a linear equation we wanted to get, where (just to be complete) we need to add the restrictions:

x ≥ 0

y ≥ 0

(this means that she can not work a negative number of hours).

Answer:

18

Step-by-step explanation:

Using PEMDAS, first you do the parenthesis which the value would be 9. Then you divide: 9/ 3= 3. Lastly,  you add 7+3+8=18.

The product will be 18.

Hope this helps! :)

Answer:

31.42 in.

Step-by-step explanation:

the formula for circumference of a circle is 2 x pi x r(radius).

by inserting the number 5 into the formula, we get approximately 31.42 inches.

Answer:

about 31.42 inches

Step-by-step explanation:

2 pi r = 2 × pi × 3 = 31.41593 inches

i think i did the math right

Answer: I know that DC is 12 and AD=8 the others i dont know.

Step-by-step explanation:

This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.