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3 years ago

Enrollment in mathematics courses

Mathematics

1 answer:

sesenic [268]3 years ago

3 0

Answer:

25%

Step-by-step explanation:

1925 - 1440 = 485

X/100 = 485/1925 (what percent is 485 of 1925) (%/100=is/of)

(485 x 100) / 1925 (cross multiply)

48500/1925 = 25%

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Solve each system by elimination by multiplying both equations. eliminate y first. show all work.

Alex17521 [72]

First $\mathrm{Multiply\:}10x-3y=18\mathrm{\:by\:}3:\quad 30x-9y=54$
Then $\mathrm{Multiply\:}6x-10y=-22\mathrm{\:by\:}5:\quad 30x-50y=-110$
To get $\begin{bmatrix}30x-9y=54\\ 30x-50y=-110\end{bmatrix}$
So...
$30x-50y=-110 \ \textgreater \ \begin{bmatrix}30x-9y=54\\ -41y=-164\end{bmatrix}$
$-41y=-164 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-41 \ \textgreater \ \frac{-41y}{-41}=\frac{-164}{-41}$
To get y = 4.
$\mathrm{For\:}30x-9y=54\mathrm{\:plug\:in\:} \:y=4 \ \textgreater \ 30x-9\cdot \:4=54$
$\mathrm{Multiply\:the\:numbers:}\:9\cdot \:4=36 \ \textgreater \ 30x-36=54 \ \textgreater \$
Next $\mathrm{Add\:}36\mathrm{\:to\:both\:sides} \ \textgreater \ 30x-36+36=54+36 \ \textgreater \ \mathrm{Simplify} \ \textgreater \ 30x=90$
Finally $\mathrm{Divide\:both\:sides\:by\:}30 \ \textgreater \ \frac{30x}{30}=\frac{90}{30} \ \textgreater \ x = 3$
Therefore our solutions are y = 4, x = 3

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3 years ago

What are the first 6 terms for this arithmetic equation?

Ipatiy [6.2K]

Answer:

3, - 2, - 7, - 12, - 17, - 22

Step-by-step explanation:

To find the first 6 terms substitute n = 1, 2, 3, 4, 5 into the formula, that is

t(1 + 1) = t(1) - 5 ⇒ t(2) = 3 - 5 = - 2

t(2 + 1) = t(2) - 5 ⇒ t(3) = - 2 - 5 = - 7

t(3 + 1) = t(3) - 5 ⇒ t(4) = - 7 - 5 = - 12

t(4 + 1) = t(4) - 5 ⇒ t(5) = - 12 - 5 = - 17

t(5 + 1) = t(5) - 5 ⇒ t(6) = - 17 - 5 = - 22

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