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Snowcat [4.5K]
3 years ago
15

What is the value of x ?

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0
The other side of 100° is 80 and 80 + 70 = 150

A triangle equals to 180 so..

180 - 150 = 30

The value of x is 30.
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Marianna [84]
The answer is A. I only.

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3 years ago
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-4(4-4v)-v=-2(-5v-2) answer
nalin [4]

Answer:

Step-by-step explanation:

-16-16v - v = 10v + 4

Add 16 to both sides and combine like terms giving you

15v = 10v + 20

Subtract 10v from both sides

5v= 20

Divide by 5

V=4

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Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total o
svlad2 [7]

Answer:

B) 120

Step-by-step explanation:

m = miles

$98=$80+$0.15m

$98-$80=$80-$80+$0.15m

$18=$0.15m

$18/$0.15=$0.15m/$0.15

120=m

Juliet drove 120 miles for $98.

(this is a good explanation, I guess)

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3 years ago
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How many times does 31 goes into 6
Paul [167]
6 goes into 31 5 times which is 30 so the answer would be 5 1/6
8 0
3 years ago
98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f
Colt1911 [192]

See the attached picture.

  • Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

V(x)=x(8-x)(12-x)=x^3-20x^2+96x

because the volume of a box is the product of its width (12-x), length (8-x), and height (x).

  • find the zeroes

You know right away from the factored form of V(x) that the zeroes are x=0,8,12. (zero product property)

  • sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of V(x) for any values of x between these zeros to get an idea of what the graph of V(x) looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know V(x)=0 when x=0 and x=8. So we pick some value of x between them, say x=1, and find that

V(1)=1(8-1)(12-1)=7\cdot11=77

which is positive, so V(x) will be positive for any other x between 0 and 8. Similarly we would find that V(x) for x between 8 and 12, and so on.

  • What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

  • If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants V(x)=12, so you solve

x^3-20x^2+96x=12

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

x\approx0.1284

x\approx7.6398

x\approx12.2318

but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.

  • What would be the dimensions of this box?

The box's dimensions are (x in) x (8-x in) x (12-x in).

If x\approx0.1284, then 8-x\approx7.8716 and 12-x\approx11.8716.

If x\approx7.6398, then 8-x\approx0.3602 and 12-x\approx4.3602.

8 0
2 years ago
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