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katrin2010 [14]
2 years ago
13

All of the members of our spray-painting team paint at the same speed. If 20 team members can paint a 4800 square foot wall in 3

6 minutes, then how many minutes would it take for 9 team members to paint a 4200 square foot wall?
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
3 0

Answer:

It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.

Step-by-step explanation:

4800 ÷ 20 = 240 sq ft per team member in 36 minutes

240 ÷ 36 = 6.67 sq ft per team member in 1 minute

6.67 × 9 = 60 sq ft per 9 team members in 1 minute

4200 ÷ 60 = 70 minutes (or 1 hour and 10 minutes)

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3 years ago
How do you solve it?
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At heart we're being asked for a line through two points,


(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})


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(y-b)(c-a)=(x-a)(d-b)


Check that you understand why both (a,b) and (c,d) are on this line.


Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,


(v - 355)(49 - 40) = (T - 40)(360 - 355)


9(v - 355) = 5(T - 40)


v-355 = \frac 5 9 T - \frac{200}{9}


v= \frac 5 9 T - \frac{200}{9} + 355


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That's our answer; let's check it.


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7 0
2 years ago
Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha
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Answer:

"A is smaller"

Step-by-step explanation:

The full question is attached.

<u>Surface area of cylinder:</u>

The formula is  SA=2\pi r^2 + 2\pi r h

where r is the radius and h is the height

Here, radius would be 30 since balls have diameter 60 and radius is half of that.

Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240

Now, plugging into the formula, we get:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (30)^2 + 2\pi (30) (240)\\SA=50,868

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The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).

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"A is smaller"

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3 years ago
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