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2 years ago

A map's scale is 1 inch : 2.4

Mathematics

1 answer:

QveST [7]2 years ago

3 0

12 miles

If 1 inch equals 2.4 miles on an actual scale, then 5 inches would be 2.4 • 5 which equals 12 miles.

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Write an equation in slope-intercept form for a line that passes through the given pair of points. (-6,5), (-9,0)

11111nata11111 [884]

Slope intercept form is y=mx+b because m=slope and b=y-intercept hence "slope intercept form"...

m=deltay/deltax=(0-5)/(-9--6)=-5/-3=5/3 so far we have now:

y=5x/3 +b, using any point, I'll use (-9,0) we can now solve for b or the y-intercept...

0=-9(5)/3 +b

0=-15+b, so b=15 and our line is:

y=5x/3 + 15 or more neatly

y=(5x+45)/3

4 0

2 years ago

Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks

Lemur [1.5K]

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount ( $C_{o}$ ), measured in monetary units, and week earning ( $R$ ), measured in monetary units, multiplied by a number of weeks ( $n$ ), dimensionless:

$C =C_{o} + n\cdot R$ (1)

Now we clear the number of weeks within the formula:

$n = \frac{C-C_{o}}{R}$

If we know that $C_{o} = \$\,145$ , $C = \$\,450$ and $R = \$\,36$ , then the number of weeks is:

$n = \frac{\$\,450-\$\,145}{\$\,36}$

$n = 8.472$

Paul will have no more than $ 450 in next 8 weeks.

8 0

2 years ago

Read 2 more answers

Please help me with this

blsea [12.9K]

Answer:

9x squared + 12x

Step-by-step explanation:

8 0

2 years ago

Shortern this expression pls

pogonyaev

Answer:

$c =\frac{8}{3}$

Step-by-step explanation:

Given

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Required

Shorten

We have:

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Rationalize

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}$