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Irina18 [472]
3 years ago
5

Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the n

umber of laps karissa swam was 2 to 3. If Mandy swam 12 laps, how many laps did karissa swim?
Mathematics
1 answer:
Goryan [66]3 years ago
8 0
Set up a proportion.
2/3 = 12/x. Cross multiply the proportion.
2x = 36. Solve for x.
x = 18.
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3a x 5b x 7c = 39375, then find value of 7a - 2b + 3c​
garik1379 [7]

Answer:

Step-by-step explanation:

Simplifying

(7a + -2b) + -1[2(3a + -1c) + -3(2b + -3c)] = 0

Remove parenthesis around (7a + -2b)

7a + -2b + -1[2(3a + -1c) + -3(2b + -3c)] = 0

7a + -2b + -1[(3a * 2 + -1c * 2) + -3(2b + -3c)] = 0

7a + -2b + -1[(6a + -2c) + -3(2b + -3c)] = 0

7a + -2b + -1[6a + -2c + (2b * -3 + -3c * -3)] = 0

7a + -2b + -1[6a + -2c + (-6b + 9c)] = 0

Reorder the terms:

7a + -2b + -1[6a + -6b + -2c + 9c] = 0

Combine like terms: -2c + 9c = 7c

7a + -2b + -1[6a + -6b + 7c] = 0

7a + -2b + [6a * -1 + -6b * -1 + 7c * -1] = 0

7a + -2b + [-6a + 6b + -7c] = 0

Reorder the terms:

7a + -6a + -2b + 6b + -7c = 0

Combine like terms: 7a + -6a = 1a

1a + -2b + 6b + -7c = 0

Combine like terms: -2b + 6b = 4b

1a + 4b + -7c = 0

Solving

1a + 4b + -7c = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4b' to each side of the equation.

1a + 4b + -4b + -7c = 0 + -4b

Combine like terms: 4b + -4b = 0

1a + 0 + -7c = 0 + -4b

1a + -7c = 0 + -4b

Remove the zero:

1a + -7c = -4b

Add '7c' to each side of the equation.

1a + -7c + 7c = -4b + 7c

Combine like terms: -7c + 7c = 0

1a + 0 = -4b + 7c

1a = -4b + 7c

Divide each side by '1'.

a = -4b + 7c

Simplifying

a = -4b + 7c

8 0
3 years ago
The product of a number and four is subtracted from three to give forty-<br> seven
ValentinkaMS [17]

Answer:

47=4n-3

Step-by-step explanation:

N=11 btw

5 0
3 years ago
These four numbers are plotted on a number line:
Gre4nikov [31]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
The tropical giant bamboo can grow 11.9 feet in 3 days. What is this rate of growth in inches per hour?
alexira [117]

Answer:

hope is helpful

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3 years ago
Solve this equation: 4(3x+2)=68
Dafna11 [192]

Answer:

x=5

Step-by-step explanation:

4(3x+2)=68

Divide each side by 4

4/4(3x+2)=68/4

3x+2 =17

Subtract 2 from each side

3x+2-2 = 17-2

3x = 15

Divide each side by 3

3x/3 = 15/3

x =5

7 0
3 years ago
Read 2 more answers
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