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2 years ago

Find the value of x. 132 (5x + 7) A. 25 B. 45 C. 35 D. 15

Mathematics

2 answers:

loris [4]2 years ago

8 0

A. 25
5x + 7 = 132
5x = 125
x = 5

Agata [3.3K]2 years ago

7 0

Answer:

A.25

Step-by-step explanation:

Both sides of this obtuse angle are the same, which means it has to have the same degrees. If you plug these answer choices into x, it has to equal 132. Thus, 25 was the correct answer.

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A machine paints 34o toy boats im 3/4 of an hour how many boats can he make per hour

leonid [27]

Here, we can set up a proportion:

34 ÷ 3/4 = ? ÷ 1
34*1 = 34
34÷3/4 = the time needed to build one toyboat

34/3/4 = 45.3333333333

45.3 repeating is not a whole number, so we need to approximate.

45 is the closest whole number,

So.. a machine can paint 45 toy boats per hour.

I really hope that helped! :)

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3 years ago

What is the standard unit of power in Metric Units?

inessss [21]

Answer:

watt is the standard unit of power in metric units

5 0

3 years ago

P, Q, and R are three different points. PQ = 3x + 2, QR = x, RP = x + 2, and . List the angles of PQR in order from largest to

horsena [70]

PQR is a triangle
QR = x ⇒ x>0
If x>0 then:
QR is the smallest side
PQ is the largest side

In the triangle, the largest angle lies opposite the largest side.
The angles of ΔPQR in order from largest to smallest:
∠R is largest [opposite to PQ]
∠Q is middle [opposite to RP]
∠P is smallest [opposite to QR]

4 0

3 years ago

A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving. What is the unit rate for calories per c

Dimas [21]

Answer:

a) The unit rate for calories per cup is 100 calories per cup

b) 200 calories in 2 cups of cereal.

Step-by-step explanation:

A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving.

a) What is the unit rate for calories per cup?

This is calculated as:

3/4 cup = 75 calories

1 cup = x

Cross Multiply

3/4x = 75 calories × 1

x = 75 calories /3/4 cup

x = 75 ÷ 3/4

x = 75 × 4/3

x = 100 calories per cup

The unit rate for calories per cup is 100 calories per cup

b) How many calories are there in 2 cups of the cereal?

From the above question

3/4 cup = 75 calories

2 cups = x

Cross Multiply

3/4x = 75× 2

x = 150 ÷ 3/4

x = 150 × 4/3

x = 200 calories

There are 200 calories in 2 cups of cereal.

7 0

3 years ago

Please help asap!!!

sp2606 [1]

Answer:

$y=\frac{1}{6} (x+5)^2-4.5$

$y=\frac{-1}{20} (x-10)^2+1$

Step-by-step explanation:

focus at (-5, -3), and directrix y = -6

Directrix y=-6 so its a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

(h,k) is the center

P is the distance between focus and vertex

distance between focus and directrix = 2p

distance between -3 and y=-6 is 3

2p = 3

p = 3/2 or p = 1.5

Focus is (h, k+p)

given focus is (-5, -3) so h= -5 and k+p = -3

k+p=-3, plug in 1.5 for p

k + 1.5 = -3

subtract 1.5 on both sides

k = -4.5

(x-h)^2 = 4p(y-k)

$(x+5)^2= 4(1.5) (y+4.5)$

$(x+5)^2= 6(y+4.5)$

divide by 6 on both sides

then subtract 4.5 on both sides

$y=\frac{1}{6} (x+5)^2-4.5$

focus at (10, -4), and directrix y = 6.

Directrix y=6 so its a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

distance between focus and directrix = 2p

distance between -4 and y=6 is -4-6=-10

2p = -10

p = -5

Focus is (h, k+p)

given focus is (10, -4) so h= 10 and k+p = -4

k+p=-4, plug in 5 for p

k - 5 = -4

add 5 on both sides

k = 1

(x-h)^2 = 4p(y-k)

$(x-10)^2= 4(-5) (y-1)$

$(x-10)^2= -20(y-1)$

divide by -20 on both sides and add 1 on both sides

$y=\frac{-1}{20} (x-10)^2+1$

8 0

3 years ago