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Radda [10]
3 years ago
5

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

----------------------------------------------------------------

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

--------------------------------------------------------------------------

Answer: The two towns are 90 miles apart in real life
You might be interested in
If frank runs 55 feet on 10 seconds, at this rate how many feet will he run in 25 seconds
adoni [48]

Answer:

He can run 137.5 ft

Step-by-step explanation:

We can use a proportion to solve

55 ft               x ft

--------------- = -----------------

10 seconds        25 seconds

55 *25 = x*10

1375 = 10x

Divide each side by 10

1375/10 = 10x/10

137.5 = x

He can run 137.5 ft

7 0
3 years ago
Read 2 more answers
the table shows the melting points of various elements is the absolute value of the melting point of neon greater than or less t
r-ruslan [8.4K]

The  absolute value of the melting point of neon greater than the absolute value of the melting point of hydrogen.

<u>Step-by-step explanation:</u>

In positive numbers, when the number gets larger then it is considered to be the greatest number.

for example: 20 > 5.

Meanwhile, For negative numbers, when the number gets larger then it is considered to be the smallest.

For example: -21 > - 40.

From the given table, we are given with the values of Melting point:

Hydrogen= -259.

Neon = -248.

Oxygen = -218.

We have to compare the melting points of hydrogen and neon,

⇒ - 248 > - 259.

Thus the melting point of the neon is greater than the melting point of the hydrogen.

6 0
4 years ago
What is the answer to a chef needs to cook 9 potatoes.He has already cooked 7.If each potato takes 3 minutes to cook,how long wi
jok3333 [9.3K]

Answer:it will it take him 6 minutes to cook the rest.

Step-by-step explanation:

The chef needs to cook a total of 9 potatoes. He has already cooked 7 potatoes. That means that the number of uncooked potatoes left is total number of potatoes - number of cooked potatoes. It becomes

9-7 = 2 potatoes

If each potato takes 3 minutes to cook, this means that 2 potatoes will take 3 minutes × 2 j = 6 minutes

Since there are only 2 potatoes left uncooked, it will it take him 6 minutes to cook the rest.

4 0
3 years ago
Read 2 more answers
Point B is on line AC so that AB : BC = 2 : 1. Point D is on line AB so that AD : DB = 3 : 2. Find AD : DC
Leya [2.2K]

Firstly, we will draw figure

Let's assume

length of AC=x

we have

AB : BC = 2 : 1

so,

AB=\frac{2}{3} x

BC=\frac{1}{3} x

Point D is on line AB

and

AB=\frac{2}{3} x

AD : DB = 3 : 2

so, we get

AD=\frac{3}{5} *\frac{2}{3} x

AD=\frac{2}{5} x

DB=\frac{2}{5} *\frac{2}{3} x

DB=\frac{4}{15} x

now, we can locate these values

Firstly, we will find DC

DC=DB+BC

now, we can plug values

DC=\frac{4}{15} x+\frac{1}{3} x

DC=\frac{3x}{5}

we have got

AD=\frac{2}{5} x

now, we can find ratio

\frac{AD}{DC} =\frac{\frac{2}{5} x}{\frac{3x}{5}}

now, we can simplify it

\frac{AD}{DC} =\frac{2}{3}

so,

AD:DC=2:3...........Answer


5 0
3 years ago
Find the amount of the sales tax and the total cost. Cost of Item $200 Tax Rate 8​% How much is the sales​ tax? What is the tota
Mariulka [41]
Cost=$200
sales tax rate, r= 8%
tax=cost*r=$200*0.08=$16
total cost = cost+tax=$200+$16=$216

3 0
3 years ago
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