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Olegator [25]
3 years ago
11

Ms. Maya was handing out breakfast with Ms. Perez. They were in a race to see who could be most efficient and hand out the most

breakfast Ms. Perez won! She handed out 9 more breakfast than Ms Maya. If 105 students got breakfast that day, how many did Ms Maya hand out? How many did Ms Perez hand out?
Mathematics
1 answer:
leonid [27]3 years ago
4 0

Answer:

105-9/2=48: Ms. Maya  105-48=57: Ms. Perez

Step-by-step explanation:

105-9 is 96 divided by 2 is 48 and 105-48 is 57 therefore Ms.Maya handed out 48 breakfasts  and Ms.Perez handed out 57 breakfasts

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Manuel has $50 in his bank account. Starting this week, he will deposit $30 into the
ad-work [718]

Answer:

9 weeks

Step-by-step explanation:

50+ (30x9)=320

5 0
2 years ago
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this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y
marissa [1.9K]

Answer:

  1. r = 3V/(2πh²)
  2. h = 3V/b²
  3. r = 25/π cm ≈ 7.9577 cm
  4. w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}

__

2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}

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3. Solve the circumference formula for r, then substitute the given information.

C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}

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4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}

_____

In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

4 0
3 years ago
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Arte-miy333 [17]
To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows:

c² = a² + b²
10² = (5√3)² + 5²
100 = 75 + 25
100 = 100

Therefore, the triangle with the given measurements is a right triangle. The angle that would have a right angle is angle BAC. Hope this answers the question. Have a nice day. Feel free to ask more questions.
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What is 20 percent of 240???
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