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Ber [7]
3 years ago
15

The scale for a map is 20 miles = 1/2 inch. The distance between two towns on the map is 3 3/4 inches. What is the actual distan

ce between these towns?
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer:

150 miles

Step-by-step explanation:

If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

3*2=6

20*6=120

Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

10*3=30

120+30=150

The actual distance is 150 miles.

Hope this helps!

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1. What is the actual distance around the garden? Explain your reasoning.
Mrrafil [7]
First find the number of ft around the garden and if it took Clare 30 min to walk the entire distance divide your previous answer by 30 so you can see how many ft per minute she was walking
5 0
3 years ago
In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep
Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

Therefore,

$1000 deposited at 2.5% and $2000 deposited at 4.5%.



7 0
3 years ago
Which shape does the intersection of the vertical plane with the prism look like?
Verizon [17]

Answer:

it looks like an triangle in the option above lol

7 0
3 years ago
Donis bought a t-shirt for $15 and jeans for $35.50. If the sales tax rate is 8.25%. What is the sales tax for the t-shirt and j
SOVA2 [1]
<h3>Answer: 4 dollars and 17 cents</h3><h3>This is the same as saying $4.17</h3>

====================================================

Explanation:

15+35.50 = 50.50 dollars is the total before tax is applied.

Take 8.25% of this to get

0.0825*50.50 = 4.16625

and this rounds to 4.17, which is the amount of sales tax charged.

$4.17 = 4 dollars + 17 cents

---------

Extra info:

The grand total will be 50.50+4.17 = 54.67

Another way to get the grand total is to multiply 1.0825 by the previous subtotal (50.50) getting 50.50*1.0825 = 54.66625 and that rounds to 54.67

The multiplier 1.0825 effectively means "increase by 8.25%"

6 0
3 years ago
Please help me with this.
vivado [14]

Answer:

the ancer is 1

Step-by-step explanation:

6 0
3 years ago
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