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My name is Ann [436]
2 years ago
9

Solve the system of equations: 5x + 3y = 23 3y = 15x - 21

Mathematics
1 answer:
Rama09 [41]2 years ago
4 0

Answer:

x=11/5 and y=4

Explanation:

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If twice a​ number, added to 3 is divided by the number plus 7​, the result is three halves. Find the number.
morpeh [17]
The answer to the question

6 0
3 years ago
Anne picked out 3 board games from her cabinet to take to a game night with her friends. She still has more than 10 board games
Tresset [83]

Answer:

x - 3 > 10

There were more than

13

board games in Anne's cabinet to start.

Step-by-step explanation:

The variable x represents how many board games were in Anne's cabinet to start. Since she has already picked out 3 board games to bring, the expression x–3 represents how many board games are still in the cabinet.

And, since Anne has more than 10 board games still in her cabinet, x–3 must be greater than 10.

This inequality shows the relationship.

x–3>10

Now, solve for x.

x–3

> 10

x–3+3

> 10+3 Add 3 to both sides

x

> 13 Simplify

So, there were more than 13 board games in Anne's cabinet to start.

8 0
3 years ago
Line r has a slope of -5/2 line s has a slope of 2/5 are line r and line parallel or perpendicular
Elis [28]
Vocab:
Parallel = same slope
Perpendicular = opposite sign and reciprocal slope

-5/2 opposite and reciprocal = 2/5

Solution: they are perpendicular
4 0
3 years ago
Solve for x. 8/9x=32 Enter your answer in the box. x =
lorasvet [3.4K]

Answer:

x = 36

Step-by-step explanation:

Given;

(8/9)x = 32

Solving for x

Multiply through by 9

(8/9)×9 ×x = 32×9

8x = 32×9

Divide through by 8

8x/8 = 32×9/8

x = 36

6 0
3 years ago
Find the average value fave of the function f on the given interval. f(t) = e^sin(t) cos(t), [0, π/2]
RideAnS [48]

The question is related to integration and we have to used the following formula

\frac{1}{b-a}\int\limits^a_b {f(x)} \, dx

\frac{1}{\pi /2 -0}\int\limits^0_{\pi/2} {e^{sin t}cos t } \, dt

= \frac{2}{\pi}(e^{sin t})_{0}^{ \pi /2}

=\frac{2}{\pi}(e^{sin(\pi/2)} -e^{sin0})

=\frac{2}{\pi}(e -1)

6 0
3 years ago
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