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3 years ago

susan was born in 1957 and Valerie was born in 1982.How many years old was susan when valerie was born

Mathematics

2 answers:

Ainat [17]3 years ago

8 0

Answer:

She was 25.

Step-by-step explanation:

Subtract 1982-1957 to get 25.

Sati [7]3 years ago

4 0

She was 25, 1982-1957 equals 25 so that’s your answer.

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19) Albert says that the two systems of equations shown have the same solutions.

k0ka [10]

Answer:

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

$6x + y= 2$

$-x-y=-3$

solving the system

$\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18$

$\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}$

adding the equation

$-6x-6y=-18$

$+$

$\underline{6x+y=2}$

$-5y=-16$

so the system becomes

$\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

simplify

$y=\frac{16}{5}$

$\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$6x+\frac{16}{5}=2$

subtract 16/5 from both sides

$6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}$

$6x=-\frac{6}{5}$

Divide both sides by 6

$\frac{6x}{6}=\frac{-\frac{6}{5}}{6}$

$x=-\frac{1}{5}$

Therefore, the solution to the FIRST SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

SECOND SYSTEM

$2x-3y = -10$

$-x-y=-3$

solving the system

$\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6$

$\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}$

$-2x-2y=-6$

$+$

$\underline{2x-3y=-10}$

$-5y=-16$

so the system of equations becomes

$\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

Simplify

$y=\frac{16}{5}$

$\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$2x-3\cdot \frac{16}{5}=-10$

$2x=-\frac{2}{5}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\frac{2}{5}}{2}$

Simplify

$x=-\frac{1}{5}$

Therefore, the solution to the SECOND SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

8 0

3 years ago

PLEASE HELP DUE IN 20 MINUTES!!! about cylinders

Andru [333]

Answer: Diameter = 4 cm

Step-by-step explanation:

20π = (π)(r^2)(5)

divide by 5 * π

4 = r^2

find the square root of both sides

2 = r

2 * 2 = d

4 = d

3 0

3 years ago

.....................................

Nina [5.8K]

Answer:

This should help you with the question Click the link down below or copy and paste it

https://softmath.com/algebra-word-problems/marsha-is-changing-her-phone-service-one-data-package

Step-by-step explanation:

3 0

3 years ago

Find the perimeter of the rectangle below. 5x2 - 6 2x2

PIT_PIT [208]

The answer Is 4! Good luck

5 0

3 years ago

Suppose y is inversely proportional to x. When x is 0.5, y is 12. What is the rule for the inverse variation?

Korvikt [17]

We know that
if y is inversely proportional to x
then
y=k/x
where k is the constant of variation
so
for x=0.5 y=12
find the value of k
12=k/0.5-----> k=12*.5----> k=6
y=6/x

the rule is the following
y=6/x

3 0

3 years ago