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3 years ago

Solve for x: 5x + 15 = 75

Mathematics

1 answer:

yuradex [85]3 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

5x + 15 = 75

-15 -15

5x = 60

x = 12

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A football team gained 9 yards on the first play, lost 5 on the second play, lost 7 on the third play and gained 4 on the last p

Nata [24]

Answer:

Step-by-step explanation:

First play=9

Second play=5

Third pla=7

Fourth play=4

9-5-7+4

3 0

3 years ago

Aaron bought a new television that has a 92 in. 76 in. screen. It has a feature that splits the screen to allow him to watch 4 c

castortr0y [4]

Answer:

The scale factor is equal to 1/2

The dimensions of each channel when splits the screen is 46 in x 38 in

Step-by-step explanation:

we know that

The dimensions of the new television is 92 in x 76 in

Remember that

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

Let

A1 -----> the area of the new television

A2 ----> the area of each channel when splits the screen

z-----> the scale factor

$z^{2} =\frac{A2}{A1}$

we have that

The area of the new television is 4 times the area of each channel

$A1=4A2$

$(A2/A1)=1/4$

$z^{2} =\frac{1}{4}$

$z=\frac{1}{2}$ -----> the scale factor

When splits the screen, the dimension of each channel is equal to

92/2 in x 76/2 in

46 in x 38 in

Remember, if two figures are similar then the scale factor is equal to the ratio of their corresponding sides

<em>Verify the value of the scale factor</em>

92/46=1/2

76/38=1/2

8 0

4 years ago

1.9 x (1/4) answer as a fraction

Elan Coil [88]

Answer:

19/40 1.9x0.25=0.475= 19/40

7 0

3 years ago

8. Susie had $150 in her checking account. She wrote a check for $95 and another check for $85. What was the balance in her acco

Anit [1.1K]

85 + 95 = 180$
So 150 - 180 = -30$ so she is 30 dollars in debt.

7 0

3 years ago

Read 2 more answers

These cylinders are similar. Find the volume of

Basile [38]

Answer:

$V_s=85\ cm^3$

Step-by-step explanation:

Let $V_s\ and\ V_b$ be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

$V=\pi r^2 h$

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

$\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3$

So, the volume of the smaller cylinder is equal to $85\ cm^3$ .

3 0

3 years ago