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LekaFEV [45]
3 years ago
12

5.Tammy rents an apartment close to her school campus. She pays $600 per month. r is the amount spent on rent and m is the numbe

r of months she stays in the apartment. Write the two equations that represent this proportional relationship.
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Answer:

The two equations are

r = 600m

and

r/600 = m

Step-by-step explanation:

Here, we want to write equations

The equation is;

r(m) = 600m

where r is the amount spent and m is the number of months

r = 600m

and r/600 = m

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Graph the line of the equation 8x/5 - 2y = -8 using its slope and y-intercept
satela [25.4K]

Answer:

y=\frac{4}{5}x+4

Step-by-step explanation:

You'll need to get this equation in slope-intercept form by solving for y. I do a little extra here to get it in the correct form, but I think it's pretty clear. Let me know if I need to clarify.

\\\\\frac{8x}{5}-2y=-8\\\\-2y=-\frac{8x}{5}-8\\\\2y=\frac{8x}{5}+8\\\\y=\frac{4}{5}x+4

Once it's in slope-intercept form, both the slope and the y-intercept are readily available so you can easily graph it. I graphed both of them in the attached image so you can see that they are the same line.

5 0
2 years ago
Use the scale drawing and the scale factor to enlarge a square that has a side length of 12 in. Scale factor= 3 in:2m.
podryga [215]

Given:

The side of square = 12 in.

Scale factor of enlargement = 3 in : 2 m

To find:

The proportion that is use to solve the side length, x, of the enlarged square.

Solution:

Let, the side of length of enlarged square = x m

In case of enlargement the corresponding sides are proportional.

\dfrac{3}{12}=\dfrac{2}{x}

3x=2\times 12

3x=24

Divide both sides by 3.

x=\dfrac{24}{3}

x=8

Therefore, the required proportion is \dfrac{3}{12}=\dfrac{2}{x} and the side length of the square after enlargement is 8 m.

4 0
2 years ago
I’m not quite sure how to answer this question.
Marina CMI [18]

When two shapes are mathematically similar, that means that all their sides are in a proportion.

We know the sieds of EH and AD, and so we can find the proportion of the shapes using these two sides.

EH/AD = 6/9 = 2/3

The ratio of EFGH to ABCD is 2:3

Now we have to find BC.

Becuase they're in proportion, we can form this equation:

\frac{8}{BC} = \frac{2}{3}

Cross multiply:

24 = 2*BC

Divide both sides by 2:

BC = 12 cm

Good luck!

6 0
3 years ago
Geraldo has a coupon for $12 off the total bill at a local restaurant. Geraldo does not want to spend more than $65. The inequal
Trava [24]
In here, we could write an equality as x – 12 < 65. In solving inequalities, we follow the same rule as solving algebraic expressions. We will transpose 12 to the other side, giving us x < 65 + 12. Simplifying, we have x < 77. Geraldo must have a bill less than $77 in order for him not to spend more than $65.
3 0
3 years ago
Read 2 more answers
How many solutions does 4(x-5)+2=4x—18 have??
baherus [9]
Only one. These problems always have one solution unless something has changed.
4 0
3 years ago
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