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3 years ago

Eight people go to a movie. Adult tickets cost $15 and children's tickets cost $8

Mathematics

1 answer:

Reptile [31]3 years ago

5 0

Answer: number of adults = 3, number of children = 5

Step-by-step explanation:

let the number of adults be x, and the number of children be y.

x + y = 8 , 15x + 8y = 85

1st equation x 8 = 8x + 8y = 64

$8x+8y-15x-8y = 64 - 85\\-7x = -21\\x=3$

substitute x=3

$3+y=8\\y=5$

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Samantha drew Triangle JKL with the coordinates (2,3), (4, 3) and (5,2). She reflected this image over the x-axis to create an i

zavuch27 [327]

Answer:

J'(2,-3), K'(4, -3) and L'(5,-2)

Step-by-step explanation:

The given triangle has vertices at J(2,3), K(4, 3) and L(5,2).

The transformation rule for a reflection in the x-axis is:

$(x,y)\to (x,-y)$

We substitute the points to obtain the coordinates of the image triangle J'K'L'

$J(2,3)\to J'(2,-3)$

$K(4,3)\to K'(4,-3)$

$L(5,2)\to L'(5,-2)$

In other words, we negate the y-coordinates of triangle JKL to obtain the coordinates of J'K'L'

See attachment for graph.

3 0

3 years ago

Solve for x. Round to the nearest tenth.

kondor19780726 [428]

Answer:

22.8

Step-by-step explanation:

$a^{2} +b^{2} =c^{2} \\20^{2} +11^{2} =x^{2} \\400+121=x^{2}\\\sqrt{521} =x\\\\or\\\\22.8 = x$

5 0

3 years ago

Simplify the polynomial. Then find its value for the given value of the variable.

vekshin1

Answer:

Step-by-step explanation:

Simplified expression:

$3x^3 -x^3 +5x^3-9x^3$

$2x^3 +5x^3-9x^3$

$7x^3 -9x^3$

$-2x^3$

If x = -1, the value of the expression is:

$-2x^3$

$-2(-1^3)$

$-2(-1)$

$2$

Hope this helps!

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3 years ago

Solve the equation. Check your solution.<br> 3x+4x-8=6<br> x= <br> (Simplify your answer.)

KengaRu [80]

Answer:

Step-by-step explanation:

Isolate x

3x + 4x - 8 = 6

+8 +8

3x + 4x = 6 + 8

Simplify

3x + 4x = 6 + 8

7x = 14

Divide both sides by 7

7x/7 = 14/7

x = 2

6 0

3 years ago

Please help me on this ratio question I'm stuck

Pavlova-9 [17]

24/6=4
(6x4)+(2x4)+(3x4)=
24+8+12=44=answer!

5 0

3 years ago