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3 years ago

The sum of two numbers is 22 and their difference is 12 what are the numbers

Mathematics

1 answer:

nlexa [21]3 years ago

8 0

Answer:

The numbers are 17 and 5

Step-by-step explanation:

x + y = 22

x - y = 12

Add y to both sides of the equation

x = 12 + y

Substitute new value for x into first equation

12 + y + y = 22

Add the y's

12 + 2y = 22

Subtract 12 from both sides

2y = 10

y = 5

22 - 5 = 17

The numbers are 17 and 5

Hope this helps :)

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What is the inverse of the function f(x) = 4x + 8? h(x) = x – 2 h(x) = x + 2 h(x) = x – 2 h(x) = x + 2

kondaur [170]

The inverse of f(x) = 4x + 8 is h(x) = x - 2

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3 years ago

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Try the numbers 22, 23, 24, 25 in the equation 4/3 = 32/d to test whether any of them is a solution. a. 23 is a solution. c. 24

S_A_V [24]

Answer:

c. 24 is a solution

Step-by-step explanation:

Given equation:

$\frac{4}{3}=\frac{32}{d}$

To test the numbers 22, 23, 24, 25 for the solution.

Solution:

In order to test the given number for the solution, we will plugin each number in the unknown variable $d$ and see if it satisfies the equation.

1) $d=22$

$\frac{4}{3}=\frac{32}{22}$

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.

$\frac{4}{3}=\frac{32\div 2}{22\div 2}$

$\frac{4}{3}=\frac{16}{11}$

The above statement can never be true and hence 22 is not a solution.

2) $d=23$

$\frac{4}{3}=\frac{32}{23}$

The fractions can no further be reduced.

The statement can never be true and hence 23 is not a solution.

3) $d=24$

$\frac{4}{3}=\frac{32}{24}$

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.

$\frac{4}{3}=\frac{32\div 8}{24\div 8}$

$\frac{4}{3}=\frac{4}{3}$

The above statement is always true and hence 24 is a solution.

4) $d=25$

$\frac{4}{3}=\frac{32}{25}$

The fractions can no further be reduced.

The statement can never be true and hence 25 is not a solution.

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3 years ago

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4 years ago

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Make this value negative. The reason why is due to the fact that we have a sort of reflection going on as we're scaling down the figure.

So the final answer is -0.2

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3 years ago

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Answer: She has left over $8.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

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So, to obtain this number we have to multiply Camellia's earnings by 0.80 (the percentage in decimal form, 80 /100 = 0.80)

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