MATHEMATICS MIDDLE SCHOOL

Can you please solve and explain how

Answers

Answer 1

Answer:

If we take 24 h, and think that 150 bolts are produced during 1 hour,

then during 24 hours we will get 150*24 = 3600 bolts.

So, y = 150x represent the number of bolts the machine can produce in x hours.

150 bolts/h, and y =150bolts/h *24 h = 3600 bolts

Answer is B.

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What is the measure of each interior angle does a polygon have if the sum of its interior angles is 1800°?

Answers

$\underset{in~degrees}{\textit{Sum of All Interior Angles}}\n\n S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\n[-0.5em] \hrulefill\n S=1800 \end{cases}\implies 1800=180(n-2)\implies \cfrac{1800}{180}=n-2 \n\n\n 10=n-2\implies 12=n \n\n[-0.35em] ~\dotfill$

$\underset{in~degrees}{\textit{Sum of All Interior Angles}}\n\n n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\n \theta = \stackrel{degrees}{angle}\n[-0.5em] \hrulefill\n n=12 \end{cases}\implies 12\theta =180(12-2) \n\n\n 12\theta =1800\implies \theta =\cfrac{1800}{12}\implies \boxed{\theta =150^o}$

Answer:

150

Step-by-step explanation:

Which expression is equvilent to -3 (-6b +5)

Answers

18b-15
-3x-6b=18b
-3x5=-15

hope this helps, if it doesn't don't hesitate to tell me :)

-3 (5+6b, that might work

Jack crawled 4 ft and Christine crawled 3⁄4 the distance Jack crawled. If you add the distance they each crawled together, what is the total distance the two children crawled. (Write the answer in inches.)

Answers

Before going into the details of the problem, let us first write down the most important information required for solving this problem.
1 ft = 12 inches
The distance that was crawled by Jack = 4 ft
      = (4 * 12) inches
      = 48 inches
The distance crawled by Christine = 3/4 of the distance crawled by Jack
   = (3/4) * 48 inches
   = 3 * 12 inches
   = 36 inches
Then
The total distance crawled by the two children's = (48 + 36) inches
   = 84 inches
So Jack and Christine together crawled a distance of 84 inches.

Christine crawled:
4 ft* (3/4)= 3 ft.

4 ft+ 3ft= 7ft.

The total distance the two children crawled is 7ft~

Which congruence theorem can be used to prove △ABR ≅ △RCA?

Answers

Answer:

The HL Theorem can be used to prove △ABR ≅ △RCA because both triangles share the same hypotenuse and a leg.

Step-by-step explanation:

Look at the attached picture. According to which:

The HL Theorem can be used to prove △ABR ≅ △RCA because both triangles share the same hypotenuse and a leg.

The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Answer:HL

Step-by-step explanation:

The first and second year’s sales for a company were $328,000 and $565,000. The expenses for the first year were $117,000. The company had a net profit of $113,000 after two years. What were the company's expenses for the second year?

A.
$230,000

B.
$354,000

C.
$663,000

D.
$776,000

Answers

As a disclaimer, I can't say I'm completely confident in this answer. Use at own risk.

Formulas:

Year 1: 328,000 (sales) - 117,000 (expense) = 211,000 (profit)

Year 2: 565,000 (sales) - x (expense) = y (profit)

Net Profit: 211,000 + y = 113,000

Math

211,000 (profit y1) + 565,000 (sales y2) = 776,000

776,000 - 113,000 (net profit) = -663,000 (expenses)

Confirm:

Net Profit: 211,000 + y = 113,000 (listed in formulas, just a reminder)

Plug in: 565,000 (y2 sales) - 663,000 (our solution) = -98,000

211,000 (y1 net) + -98,000 (our plug in) = 113,000 (2 year net profit given to us)

The length of a flowerbed is 4 times as long as its width. If the width is 3/8 meter, what is the area?