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aksik [14]
3 years ago
9

the library is located 1.8 miles west of callies house.the grocery store is located 2.4 miles south of the library what is the l

ength of a straight line between Callie's house and the grocery store
Mathematics
2 answers:
torisob [31]3 years ago
8 0

Use Pythagaras theorem :-

x^2 = 1.8^2 + 2.4^2 where a is distance required

x^2 = 9

x = 3 miles Answer

dimaraw [331]3 years ago
4 0

Let the distance be x

x² = 1.8² + 2.4²

x² = 9

x = √9

x = 3

Answer: The distance is 3 miles.

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A 20-gallon salt-water solution contains 15% pure salt. How much pure water should be added to it to produce a 10% solution?
Elanso [62]

15% of 20 gal = 0.15 * 20 gal = 3 gal, so the solution contains 3 gal of salt.

If we add <em>x</em> gal of water to the solution, we end up with (20 + <em>x</em>) gal of solution. We want the new mixture to have a concentration of 10%, or

10% of (20 + <em>x</em>) gal = 0.1 * (20 + <em>x</em>) gal = 2 + 0.1<em>x</em> gal

of salt.

The amount of salt in the tank hasn't changed. Solve for <em>x </em>:

2 + 0.1<em>x</em> = 3

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3 0
3 years ago
Area of the plane figure
Viefleur [7K]

Answer:

Area = 16.8 * 7 / 2 = 58.8 ft2

Step-by-step explanation:

Have

18.2^2 = 7^2 + a^2

-> a^2 = 18.2^2 - 7^2

-> a^2 = 282.24

-> a = 16.8

Area = 16.8 * 7 / 2 = 58.8 ft2

3 0
3 years ago
At the beach, Pancho and his sister both built sandcastles and then measured their heights. Pancho's sandcastle was 3/5 of a foo
lord [1]

1/5 of a foot

Simply subtract the height of Pancho’s sandcastle (3/5 of a foot) minus the height of his sister’s sandcastle (2/5 of a foot) to find a difference of 1/5 of a foot, meaning Pancho’s sandcastle was 1/5 of a foot taller than his sister’s sandcastle.

7 0
3 years ago
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3 years ago
On Sunday, a local hamburger shop sold a combined of 572 hamburger and cheeseburger. The number of cheeseburgers sold was three
igor_vitrenko [27]
Answer: 143 hamburgers and 429 cheese burgers

Explanation:

Call h and c the number of both items.
(h-hamburger and c-cheeseburger)

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Sub the second into the first

h + 3h = 572
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Divide both sides by 4
h = 143 hamburgers

Use this back into the second equation
c = 3 • 143 = 429 cheeseburgers

3 0
3 years ago
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