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Verdich [7]
3 years ago
8

The distance on a map between Lynwood and Forest Hill is 3.75 inches. According to the map key, 0.25 inch on the map is equivale

nt to 1 mile. What is the actual distance in miles between Lynwood and Forest Hill?
Mathematics
1 answer:
Volgvan3 years ago
7 0

Answer:

15 miles

Step-by-step explanation:

To find the actual distance in miles between Lynwood and Forest Hill, we can use a rule of three:

If 0.25 inch on the map is equivalent to 1 mile, then 3.75 inch on the map is equivalent to what distance:

0.25 inch -> 1 mile

3.75 inch -> X miles

0.25/3.75 = 1/X

X = 3.75/0.25 = 15 miles

The actual distance between Lynwood and Forest Hill is 15 miles.

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7 boxes - fish food; 1 box contained 6 pouches

Total amount of fish food is 7 × 6 = 42 pouches of fish food

2 packets - cat food; 1 packet contained 4 pouches

Total amount of cat food is 2 × 4 = 8 pouches

How many more pouches of fish food than cat food did Shelly buy?

42 pouches - 8 pouches = 34 pouches

Therefore there was 34 more pouches of fish food than cat food

7 0
3 years ago
An 11-ft ladder leans against the side of a house. The bottom of the ladder is 9-ft from the side of the house. How high is the
bulgar [2K]

Answer:

6.3 ft.

Step-by-step explanation:

This requires the pythagorean theorem: a^2+b^2=c^2 where "a" and "b" are legs and c is the hypotenuse(longest side of the triangle which is opposite to the 90 degree angle.) If we fill the equation where c is the ladder length(11) and "a" is the distance from the house(), and "b" is the height, 9^2+b^2=11^2 or 81+b^2=121. This is equivalent to b^2=40. b=6.3 when rounded to the nearest tenth.

4 0
3 years ago
If
Nikolay [14]

Answer:

46

Step-by-step explanation:

4 x 2= 8

3 x 5= 15

2(8 +15)= 2(23)=

23 x 2= 46

8 0
2 years ago
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Brian was asked to write x72 as a product of 2 powers with the same base in 4 different ways, using only positive exponents.
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The equivalent expression to the value given using the laws of indices is  {x}^{4(18)}

Evaluating the options given based on the laws of indices :

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  • {x}^{35}. {x}^{47}  =  {x}^{35 + 47}  =  {x}^{82}
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  • {x}^{24}. {x}^{3}  =  {x}^{24 + 3}  =  {x}^{27}

Therefore, the only expression which would give a correct way of representing {x}^{72} \: is \: {x}^{4(18)}

Learn more : brainly.com/question/12937923?referrer=searchResults

8 0
2 years ago
Mr. Cooper is making homework packets. He will put 6 worksheets in each packet. There are 18 worksheets. How many packets can he
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