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kvv77 [185]
3 years ago
15

Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated

.

Mathematics
1 answer:
arsen [322]3 years ago
5 0

Answer:

x = 6   y = -9   (I took a complicated route so if my explanation doesn't make sense It's fine)

Step-by-step explanation:

DAY = FUN

F = (7x+2y) = 24

If DAY = FUN then D = F making (7x + 2y) = 24

This means A = U so you have to find U with 24+126=150

A triangle is 180 degrees so you would do 180-150=30

U = 30

This also makes (8x+2y) = 30

8x + 2y = 30

-8x           -8x

2y = 30 - 8x

Divide everything by 2

y = 15 - 4x

Doing this you can take 7x + 2y = 24 and plug in 7x + 2(15 - 4x) = 24

Multiply it 7x + 30 - 8x = 24

Add like terms -x + 30 = 24

Subtract 30      -x = -6

Divide by -1       x = 6

Now take one of the equations and plug it in 7(6) + 2y = 24

Multiply 42 + 2y = 24

Subtract 2y = -18

Divide by 2    y = -9

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Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?
Whitepunk [10]

Given:

Point is T(-3,8).

To find:

The coordinates of T' after R(y-axis)\circ R(x-axis).

Solution:

We know that, R(y-axis)\circ R(x-axis) means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

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

T(-3,8)\to T_1(-3,-8)

If a figure reflected across y-axis, then

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

T_1(-3,-8)\to T'(-(-3),-8)

T_1(-3,-8)\to T'(3,-8)

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Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
CaHeK987 [17]

Answer:

Carlos has practiced piano for \frac{29}{20}=1\frac{9}{20} hours.

Carlos needs to practice \frac{11}{20} hours.

Step-by-step explanation:

We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

First of all, we will find piano practiced before school and after school by adding both amounts as:

\frac{3}{4}+\frac{7}{10}

Make a common denominator:

\frac{3*5}{4*5}+\frac{7*2}{10*2}

\frac{15}{20}+\frac{14}{20}

Add numerators:

\frac{15+14}{20}

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Therefore, Carlos has practiced piano for \frac{29}{20} hours.

Now, we will subtract \frac{29}{20} from 2 find number of hours Carlos needs to practice to reach his goal.

2-\frac{29}{20}

\frac{2*20}{20}-\frac{29}{20}

\frac{40}{20}-\frac{29}{20}

\frac{40-29}{20}

\frac{11}{20}

Therefore, Carlos needs to practice \frac{11}{20} hours before going to bed in order to meet his goal.

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