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Katarina [22]
3 years ago
11

Solve for c. 8 = 4 + 2c c =

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

8 = 4 + 2c

move 4 to the other side

the sign always changes when moving to the other side

8-4= 4-4+2c

8-4= 2c

4= 2c

divide both sides by 2 to get c by itself

4/2= 2c/2

Cross out 2 and 2 divide by 2 and then becomes 1*1*c= c

c= 4/2

Answer: c= 2

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Natasha, Mark and Henry share some sweets in the ratio 5:4:4. Natasha gets 35 sweets. How many more sweets does Natasha get over
Trava [24]

Answer:

7 sweets

Step-by-step explanation:

This is because the constant of proportionality is 7 since 35/5 since it is the ratio for Natasha. Since 7 is the constant of proportionality, you multiply it by the difference of the ratios. In this case, Natasha and Henry have a difference of 1 in ratios. Since it is a difference of 1, you multiply that by the constant of proportionality, 7. 7 X 1 is equal to 7, so Natasha gets 7 more sweets than Henry.

3 0
3 years ago
Which values of x make this equation true?
Evgesh-ka [11]

Answer:

{x}^{2}  + x = 12 \\  {x}^{2}  + x - 12 = 0 \\  {x }^{2}  + 4x - 3x - 12 = 0 \\ x(x + 4) - 3(x + 4) = 0 \\ (x + 4)(x - 3) = 0 \\ either \:  \:  \: or \:  \\ x =  - 4 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x = 3

the answer is -4 and 3

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2 years ago
In a race, a triathlete runs 1/3 of the total distance, cycles 2/5 of the total distance, and swims the remaining distance. He s
liraira [26]
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5 0
4 years ago
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Find the value of y for the following system of equations 5x + 3y = 10 x = y - 6
viktelen [127]

Answer:

x = -1 , y = 5

Step-by-step explanation:

Solve the following system:

{5 x + 3 y = 10 | (equation 1)

x = y - 6 | (equation 2)

Express the system in standard form:

{5 x + 3 y = 10 | (equation 1)

x - y = -6 | (equation 2)

Subtract 1/5 × (equation 1) from equation 2:

{5 x + 3 y = 10 | (equation 1)

0 x - (8 y)/5 = -8 | (equation 2)

Multiply equation 2 by -5/8:

{5 x + 3 y = 10 | (equation 1)

0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{5 x+0 y = -5 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by 5:

{x+0 y = -1 | (equation 1)

0 x+y = 5 | (equation 2)

Collect results:

Answer: {x = -1 , y = 5

5 0
4 years ago
What is 1.2 to the 5th power
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Google said the answer is 2.48832 :)
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