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Hitman42 [59]
3 years ago
10

What is the solution to the inequality x2 < 16 – 6x?

Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Answer:

D

Step-by-step explanation:

2x < 16 - 6x

Bring the variables to one side

2x < 16 - 6x

+6x       +6x

8x < 16

Divide both sides by the coefficient

8x/8 < 16?8

x < 2

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Kim has read 42 pages of a book. That is 20% of the total number of pages. How many pages long is Kim's book?
ki77a [65]
Hi there! The answer is 210 pages.

We can find our answer by looking at the proportions:
20 % is 42 pages.
10 % is 21 pages (42 / 2).
100% is 210 pages. (21 × 10).
4 0
3 years ago
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Five cupcakes and two cookies cost $19.75. Two cupcakes and four cookies cost $ 17.50.
alina1380 [7]

Answer:

Step-by-step explanation:

Let x and y represent the cost of a cupcake and cookie respectively.

Given that;

Five cupcakes and two cookies cost  $19.75.

5x+2y=19.75 ---------- 1

Two cupcakes  and four cookies cost $17.50.

2x+4y=17.50 --------------2

Let's solve the simultaneous equation by elimination;

Multiply equation 1 by 2;

10x+4y=39.50-------3\\

Subtract equation 2 from equation 3;

10x-2x+4y-4y=39.50-8x=22

8x=22

divide both sides by 8

\frac{8x}{8} =\frac{22}{8} \\x=2.75

Since we have the value of x, let substitute into equation 1 to get y;

5x+2y=19.75\\5(2.75)+2y=19.75\\13.75+2y=19.75\\2y=19.75-13.75\\2y=6\\y=\frac{6}{2} \\y=3.00

therefore , the cost of cupcakes and cookies are;

cupcakes=  2.75\\cookies= 3.00

PLEASE MARK ME AS BRAINLIEST

6 0
2 years ago
Yooooooooooooooooooooooooo
stira [4]

Answer:

3/2

Step-by-step explanation:

Rise over run meaning how many up over how many over (would be a negative rise if the line was \ instead of /)

find where the line intersects with the corner of the graph lines and plot from there.

Mark me as brainliest if this helps!

8 0
2 years ago
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A large spherical balloon is being deflated. When the radius of the balloon decreases from 10 ft to 5 ft, approximately how much
Xelga [282]
Volume of a sphere: V=(4/3)πr³
V1=(4/3)π10³
V2=(4/3)π5³
difference: (4/3)π10³-(4/3)π5³=(4/3)π875=3665
the answer is B.<span />
5 0
2 years ago
Read 2 more answers
The length of a rectangle is twice the with. If the perimeter of the rectangle is 60 units, find the area of the garden
Darya [45]

w - width

2w - length

60 - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 60    <em>divide both sides by 6</em>

w = 10 → 2w = 2 · 10 = 20

The area: A = width × length

A = (10)(20) = 200

<h3>Answer: The area of the garden is equal 200 square units.</h3>
4 0
2 years ago
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