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3 years ago

Select the correct answer.

Mathematics

1 answer:

Vikentia [17]3 years ago

3 0

Answer:

D. It has a single solution: x=-3, y= 26.

Step-by-step explanation:

3x + y=17

Subtract 3x so it is in y=mx+b form. So now it is y= -3x +17

Now plug in

x + 2 (-3x+17) = 49

x + -6x + 34 = 49 (distribute)

-5x = 15 (combine the x terms and subtract 34 on both sides)

x = -3 (divide -5 on both sides to get x alone)

now plug in x into any other equation to get y

x + 2y = 49

-3 + 2y = 49

2y = 52 (add 3 on both sides)

y = 17 (divide 2 on both sides to get y alone)

(-3, 26)

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A vendor at a street fair sells popcorn in cones, all of height 9 inches. The

Tatiana [17]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

The volume of a cone is given by the following formula:

$V = \frac{\pi r^{2}h}{3}$

In which r is the radius and h is the height.

Two cones:

Both have the same height.

The sharing-size cone has 3 times the radius of the skinny-size cone.

Skinny:

radius r, height h. So

$V_{sk} = \frac{\pi r^{2}h}{3}$

Sharing size:

radius 3r, height h. So

$V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h$

About how many times more popcorn does the sharing cone hold than the skinny cone?

$r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9$

The sharing cone holds about 9 times more popcorn than the skinny cone.

3 0

3 years ago

I don’t understand help

zzz [600]

Answer:

Step-by-step explanation:

89+150+67+(2y+8)=360

2y+8=54

2y=46

y=23

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3 years ago

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alexira [117]

If the roots are r1,r2,r3, the facotred polynomail looksl ike this
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given
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Answer:

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Step-by-step explanation:

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