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spayn [35]
3 years ago
12

Select the number that would make this statement true: 496 ÷ ________ = 49.6 (3 points)

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

Answer:

The answer to this question is 10

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The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When
atroni [7]

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

A=w\ell

Where <em>w</em> is the width and <em>l</em> is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>

\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]

By the Product Rule:

\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w

Since we know that dl/dt = 6 and that dw/dt = 5:

\displaystyle \frac{dA}{dt}=5\ell + 6w

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

8 0
3 years ago
Please help with these 3 questions
Sever21 [200]

Answer: x = 11

Step-by-step explanation:

2x+5 = 3x-6

2x-3x = -6-5

-x = -11

x = 11

Double-check:
11*2= 22                   11*3=33

22+5 = 27                33-6= 27

4 0
2 years ago
What is 30 percent of 2000 dollars?
fiasKO [112]
10% of $2,000 is $200.

30%=3*10%

Therefore:

30% of $2,000 is $600.
6 0
3 years ago
Read 2 more answers
Help I will give brainiest to whoever gets both​
Ahat [919]

Answer:

C

A

Step-by-step explanation:

the lines intersect at (2,1)

parallel = no solution

6 0
3 years ago
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22 POINTS: look at image helpppppp :)))))))
balu736 [363]
The answer is x=-6 and y= 1
3 0
3 years ago
Read 2 more answers
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