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3 years ago

Studying for the act and I'm really bad at math, please help!

Mathematics

1 answer:

Bond [772]3 years ago

5 0

We are given the ratio of 1/2 inch: 18 miles

Multiply both sides of the ratio by 2. I'm doing this so that the "1/2" turns into "1"
So we go from this ratio
1/2 inch: 18 miles
to this ratio
1 inch: 36 miles
which means that every inch on paper represents 36 miles in real life

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The question is now: if two towns are 2.5 inches apart on paper, then how far are they in real life? (note: 2.5 is the decimal form of 2 and a half)

To find out, multiply both sides by 2.5
1 inch: 36 miles
2.5*(1 inch): 2.5*(36 miles)
2.5 inches: 90 miles

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Answer: The two towns are 90 miles apart in real life

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3 years ago

URGENT WILL MARK BRAINLIEST <br>Show your work and solve for x and y.<br>3x + y = 8<br>2x + 4y = 12

mars1129 [50]

3x+y=8--(1)

2x+4y=12

x+2y=6--(2)

(1)×1 and (2)×3

$\\ \rm\Rrightarrow 3x+y=8$

$\\ \rm\Rrightarrow 3x+6y=18$

Subtract both

$\\ \rm\Rrightarrow -5y=-10$

$\\ \rm\Rrightarrow y=\dfrac{-10}{-5}$

$\\ \rm\Rrightarrow y=2$

Put the value in eq(2)

$\\ \rm\Rrightarrow x+2(2)=6$

$\\ \rm\Rrightarrow x+4=6$

$\\ \rm\Rrightarrow x=6-4=2$

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3 years ago

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777dan777 [17]

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2 years ago

Samuel worked 1/4 of a day on Tuesday and 3/8 of a day on Wednesday. Which

Anestetic [448]

Rewrite 1/4 to have 8 as the denominator: 1/4 = 2/8

Now add the two days together:

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Answer: 5/8

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2 years ago

Ramon earns $1,735 each month and pays $53.10 on electricity. To the nearest tenth of a percent, what perfect of ramons earnings

Alenkinab [10]

Answer:

$\boxed{3.1 \, \%}$

Step-by-step explanation:

The formula for calculating percentage is

$\text{Percentage} = \dfrac{\text{Part}}{\text{Whole}} \times 100 \, \%$

The "part" is the electricity payment.

The "whole" is Ramon's earnings.

$\begin{array}{rcl}\text{\% of earnings} & = & \dfrac{53.10}{1735} \times 100 \, \% \\\\& = & \mathbf{3.1 \, \%}\\\end{array}\\\boxed{\mathbf{3.1 \, \%}} \text{ of Ramon's earnings are on electricity}$

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3 years ago