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2 years ago

What number needs to be added to 5 and 3 so that the ratio of the first number to the second

Mathematics

1 answer:

Mashcka [7]2 years ago

5 0

Answer:

Step-by-step explanation:

Choose a variable to represent the number to be added to 5 and 3.

$\frac{5+x}{3+x}=\frac{4}{3}$

"Cross-multiply."

$3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x$

Check: The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.

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Solve the system of equations 9x + 2y = 11 and 9x + y = 1 by combining the equations

Dennis_Churaev [7]

The answer to the question

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3 years ago

Find three consecutive integers such that three times The largest increased by two is equal to five times the smallest increased

rosijanka [135]

$a,a+1,a+2-\ three\ consecutve\ integers\\\\
3*(a+2)+2=5*(a+3)+3(a+1)\\\\
3a+6+2=5a+15+3a+3\\\\
3a+8=8a+18\ \ \ | subtract\ 3a\\\\
8=5a+18\ \ \ \ | subtract\ 18\\\\
-10=5a\ \ \ \ | divide\ by\ 5\\\\
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3 years ago

Solve for M and N please help me

son4ous [18]

Answer:

M=4 N=6

Hope this helped!

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3 years ago

What are the values of x and y given that ABCD ≅ EFGH?

Margarita [4]

Answer:

x = 7

y = 8

Step-by-step explanation:

Since the shapes are similar then <B = <F and <A = <E

<B = <F so

10x + 65 = 135 subtract 65 from both sides

10x = 70 divide both sides by 10

x = 7

<A = <E so

4y - 4 = 28 add 4 to both sides

4y = 32 divide both sides by 4

y = 8

7 0

3 years ago

Rich measured the height of a desk to be 80.7 cm. The actual height of the desk is 80 cm. What is Rich's percent error in this c

Hitman42 [59]

Answer:

0.9%

Step-by-step explanation:

We have been given that Rich measured the height of a desk to be 80.7 cm. The actual height of the desk is 80 cm.

We will use percentage error formula to solve our given problem.

$\text{Percentage error}=\frac{\text{Experimental value-Actual value }}{\text{Actual actual}}\times 100$

$\text{Percentage error}=\frac{80.7-80}{80}\times 100$

$\text{Percentage error}=\frac{0.7}{80}\times 100$

$\text{Percentage error}=0.00875\times 100$

$\text{Percentage error}=0.875\approx 0.9$

Therefore, Rich's percent error in calculation is 0.9%.

5 0

3 years ago