The graph of a linear function is shown on the coordinate grid.

What is the difference between 100 and 10

Alik [6]

Answer:

90

Step-by-step explanation:

100 - 10 = 90

4 0

3 years ago

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If 52, 34p is divisible by 9, the digit represented by P must be

Karo-lina-s [1.5K]

Answer:

C)4

Step-by-step explanation:

If the number is divisible by 9 the sum of its digit must be divisible by 9.

52,34p

Solution:

5+2+3+4+p=14+p

If we add 14 to 4

14+4=18

p=4

3 0

4 years ago

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Find the x-intercept of the equation: 5x - 4y = -20

Furkat [3]

Answer:

x=4/5y-4

Step-by-step explanation:

7 0

4 years ago

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A rectangle is reduced by a scale factor of One-fourth.

prohojiy [21]

Answer:

$(\frac{4}{16})^2$

$\frac{12}{192}$

$(\frac{3}{12})^2$

Step-by-step explanation:

we know that

If two figures are similar, the the ratio of its areas is equal to the scale factor squared

In this problem

The scale factor is 1/4

Let

z ---> the scale factor

x ---> the area of the smaller rectangle

y ---> the area of the large rectangle

so

$z^2=\frac{x}{y}$

we have

$z=\frac{1}{4}$

substitute

$z^2=(\frac{1}{4})^2 =\frac{1}{16}$

<u><em>Verify each option</em></u>

a) we have

$\frac{4}{16}$

Compare with $\frac{1}{16}$

so

$\frac{4}{16} \neq \frac{1}{16}$

This option no show the ratio of the area of the smaller rectangle to the area of the larger rectangle

b) we have

$(\frac{4}{16})^2=\frac{16}{256}=\frac{1}{16}$

Compare with $\frac{1}{16}$

so

$\frac{1}{16} = \frac{1}{16}$

This option show the ratio of the area of the smaller rectangle to the area of the larger rectangle

c) we have

$\frac{12}{192}=\frac{1}{16}$

Compare with $\frac{1}{16}$

so

$\frac{1}{16} = \frac{1}{16}$

This option show the ratio of the area of the smaller rectangle to the area of the larger rectangle

d) we have

$(\frac{4}{12})^2=\frac{16}{144}=\frac{1}{9}$

Compare with $\frac{1}{16}$

so

$\frac{1}{9} \neq \frac{1}{16}$

This option no show the ratio of the area of the smaller rectangle to the area of the larger rectangle

e) we have

$(\frac{3}{12})^2=\frac{9}{144}=\frac{1}{16}$

Compare with $\frac{1}{16}$

so

$\frac{1}{16} = \frac{1}{16}$

This option show the ratio of the area of the smaller rectangle to the area of the larger rectangle

6 0

4 years ago

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The City Zoo has different admission prices for children and adults. When three adults and two children went to the zoo, the pri

Strike441 [17]

Let the price of a children's ticket be x and the price of an adult's ticket be y. We can form a system of equations to solve this problem.

2x + 3y = 81.22

3x + 2y = 77.18

Lets use elimination to solve the system. First, lets multiply the first equation by 3 and the second equation by 2 so the x terms will cancel out.

6x + 9y = 243.66

6x + 4y = 154.36

We can then subtract the equations to cancel out the x variable.

6x + 9y = 243.66

-(6x + 4y = 154.36)

(6x-6x) + (9y - 4y) = (243.66 - 154.36)

0 + 5y = 89.30

Finally, we can find the value of y.

5y = 89.30

y = 17.86

Lastly, we can plug in the value of y and solve for x to find the value of the child's ticket.

2x + 3(17.86) = 81.22

2x + 53.58 = 81.22

2x = 27.64

x = 13.82

Therefore, the child ticket costs $13.82 and the adult ticket costs $17.86.

4 0

4 years ago