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Pavlova-9 [17]
3 years ago
6

The ratio of the number of boys to girls is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?

Mathematics
1 answer:
sergiy2304 [10]3 years ago
7 0

Answer:

48

Step-by-step explanation:

5      60

--  =  ----

4      x

5x= 240

---    ------

5       5

x=48

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Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as litt
sergiy2304 [10]

Answer:

The dimensions of the box is 6 × 6 units.

Step-by-step explanation:

Chloe fill a sand box whose area is 36 square units.

Let length be x units and width be y units.

Area of box = 36

xy=36\\y=\dfrac{36}{x}\ \ \ ...(i)

Perimeter of box, P=2(x+y)

P=2(x+\dfrac{36}{x})\ \ \ \ \ \ \ \ [\text{ From }(i)]

Differentiate w.r to x

\dfrac{dP}{dx}=2(1-\dfrac{36}{x^2})

For critical point, \dfrac{dP}{dx}=0

\therefore 2(1-\dfrac{36}{x^2})=0

\Rightarrow x=\pm6

x can't be negative.

\dfrac{d^2P}{dx^2}=\dfrac{144}{x^3}\\\dfrac{d^2P}{dx^2}|_{x=6}=\dfrac{144}{216}>0(\text{min})

P_{min}=24 units

Hence, Length = 6 units and width = 6 units

5 0
3 years ago
48x + 6 factored is 6 (8x + 1)<br> True<br> False
stepladder [879]

Answer:

true

Step-by-step explanation:

5 0
2 years ago
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The girls tennis team was interested in raising funds for an upcoming trip. The team sold tumblers for $10 and sun hats for $5
gtnhenbr [62]

The equations that can be used are 10T + 5S = 190 and T + S = 30.

<h3><u>Equations</u></h3>

Given that the girls tennis team was interested in raising funds for an upcoming trip, and the team sold tumblers for $10 and sun hats for $5, and when the sales were over, the team had earned $190 and sold 30 total products, which included a mix of tumblers and hats, to determine which equations can be used to represent the situation, the following calculations must be made:

  • T + S =190
  • -It cannot be used because it has any relationship with the price of the products.

  • 10T + 5S = 30
  • -It cannot be used because it only considers the quantity variable.

  • T + S = 30
  • -It can be used as it shows the amount of products sold.

  • 10T + 5S = 190
  • -It can be used because it relates the total price to the quantity of each product.

  • T + S = 15
  • -It cannot be used because it only considers the price variable.
  • 5T + 10S = 190
  • -It cannot be used because it erroneously relates the price of each product.

Therefore, the equations that can be used are 10T + 5S = 190 and T + S = 30.

Learn more about equations at brainly.com/question/26511270.

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2 years ago
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PLSSS HELP. WILL MARK BRAINLIEST. A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expres
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Answer:

Below.

Step-by-step explanation:

Part A: (6x+4)(2x+11)=12x^2+66x+8x+44=12x^2+74x+44

Part B: Degree = 2, Classification = Quadratic

Part C: The polynomial is closed because it is multiplied. You CANNOT close under division.

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How many ways are there to pick first a vowel and then a consonant from the word SIMULTANEOUS?
motikmotik

Answer:

3

Step-by-step explanation:

 IM UL AN

SIMULTANEOUS

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3 years ago
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