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kow [346]
4 years ago
14

Mother wants to divide $36 between her daughters Ava and Charlotte in the ratio of their ages. If Ava is 15 years old and Charlo

tte is 12 years old, find how much Ava and Charlotte will get.
Mathematics
1 answer:
Fantom [35]4 years ago
8 0

Answer:

Ava's share = $20

Charlotte's share = $16

Step-by-step explanation:

15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36

27x = 36 : add x terms

x = 36 / 27 : divide both sides of equation by 27

x = 4 / 3

Ava's share = 15x = 15 * 4/3 = 20

Charlotte's share = 12x = 12 * 4/3 = 16

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Answer:

- 10.2n - 1

Step-by-step explanation:

You need to add the expressions:

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7 0
3 years ago
Alina charges $4 a ride plus $0.75 a mile as a uber driver. If a person only has $20 how far could they go?
Lilit [14]

Answer:

Step-by-step explanation:

$ 4 per ride and 0.75 per mile

y = 0.75x + 4.....with x being # of miles and y being total cost

if a person only had $ 20....so sub in 20 for y and solve for x

20 = 0.75x + 4

20 - 4 = 0.75x

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8 0
3 years ago
5. MAPPING Ben and Kate are making a
Rainbow [258]

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

d = \sqrt{(6 -(-2))^2 + (2 -(-4))^2}

d = \sqrt{(8)^2 + (6)^2}

d = \sqrt{64 + 36}

d = \sqrt{100}

d = 10 units

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Plug in the values

M(\frac{6 +(-2)}{2}, \frac{2 +(-4)}{2})

M(\frac{4}{2}, \frac{-2}{2})

M(2, -1)

6 0
3 years ago
What does the graph of a proportional relationship look like? ​
vova2212 [387]

Answer: The graph of a proportional relationship is a straight line through the origin.

Step-by-step explanation:

3 0
3 years ago
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Elodia [21]

Answer:

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3 years ago
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