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3 years ago

Explain what mistake was made in the problem below and what should be the

Mathematics

1 answer:

romanna [79]3 years ago

7 0

Answer:

Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.

Step-by-step explanation:

Student Work:

2(x + 4) – 8 = 3x+10-4

2x + 8–8 = 3x + 6

2x = 3x + 6

- 3x – 3x

X = 6

My work:

2(x+4)-8=3x+10-4

2x+8-8=3x+6

2x=3x+6

-x=6

x=-6

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A cone with radius 2 and height 9 has its radius tripled. How many times greater is the volume of the larger cone than the small

SpyIntel [72]

Answer:

When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times

Step-by-step explanation:

We have that the formula for the volume of a cone is:

Vc = pi * (r ^ 2) * h

We first calculate the original volume, where the radius is 2 and the height is 9, replacing:

Vc = 3.14 * (2 ^ 2) * 9

Vc = 113.04

Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:

Vc = 3.14 * (6 ^ 2) * 9

Vc = 1017.36

If we compare:

1017.36 / 113.04 = 9

This means that when the radius is tripled, the volume increases 9 times.

When if re reduces to a third the radius would be: 2/3, replacing:

Vc = 3.14 * ((2/3) ^ 2) * 9

Vc = 12.56

113.04 / 12.56 = 9

Which means that by reducing it to a third the volume becomes 9 times smaller.

6 0

3 years ago

The slope of the line through -9,6 and -6,-9

Kruka [31]

Answer:

Step-by-step explanation:

7 0

3 years ago

Resuelve el siguiente problema un buzo en una laguna decendio 8m en una hora.Si cada hora bojo la misma cantidad de metros, ¿cua

S_A_V [24]

Answer:

X = 32 meters.

Step-by-step explanation:

Let the unknown distance be X.

<u>Given the following data;</u>

Distance = 8 meters per hour
Time = 4 hours

To find how many meters he would cover in four hours;

1 hour = 8 meters

4 hours = X meters

Cross-multiplying, we have;

X = 8 * 4

<em>X = 32 meters.</em>

7 0

3 years ago

What is the least common denominator of 1/2 and 9/10

nirvana33 [79]

Answer:the least common denominator is 10 because 5x2 is 10 and then 10x1 is 10 its the least for both of them

Step-by-step explanation:

3 0

1 year ago

A sphere has a diameter of 12.5 inches. What is the surface area of the sphere? 50π in² 156.25π in² 625π in² 2604.17π in²

Advocard [28]

Hello!

To find the surface area of a sphere you use the equation

$A = 4 \pi r^{2}$

A is surface area
r is radius which is half the diameter

Put in the values you know

$A = 4 \pi 6.25^{2}$

Square the number

$A = 4 \pi 39.0625$

Multiply the 4 and the 39.0625

$A = 156.25 \pi$

The answer is $B) 156.25 \pi in^{2}$

Hope this helps!

3 0

3 years ago