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1 year ago

3(2x + 5)= 4 (c-3) I know how to solve it but can someone explain it.

Mathematics

1 answer:

Nezavi [6.7K]1 year ago

5 0

Answer:

3x×2c+1

Step-by-step explanation:

6x+15 =4c-12

$\frac{6x + 15}{4c - 12} = \frac{4c - 12}{4c - 12}$

$\frac{6x + 15}{4c - 12}$

$\frac{3x + 5}{2c - 4}$

$3x + 5 \div 2c - 4$

$3x \times 2c + 5 - 4$

$3x \times 2c + 1$

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a circle has an area of 225 square inches. if the radius of the circle is multiples by 6, then what is the new area of the circl

Lesechka [4]

Answer:

D: 8,100π in²

Step-by-step explanation:

The formula for area of a circle is

A = πr²

The radius is squared, so if the radius or a new circle is 6 times larger (multiplied by 6), the difference in area will be 36 times greater. So the area is

225π(36) = 8,100π

3 0

2 years ago

For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) (y/10) (z/6)

kotykmax [81]

This question is incomplete, the complete question is;

For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) + (y/10) + (z/6) = 1 equal to 10?

Answer: the value of a is 1

Step-by-step explanation:

Given that;

Volume of tetrahedron bounded by plane (x/a) + (y/10) + (z/6) = 1

and coordinate plane is; V = 1/6|abc|

(x/a) + (y/10) + (z/6) = 1

volume = 10

10 = 1/6 | a × 10 × 6 |

60 = a × 10 × 6

60 = 60a

a = 60 / 60

a = 1

Therefore the value of a is 1

3 0

2 years ago

Find the surface area of the rectangular prism.

Natalija [7]

Twice each side:

4*3*2 + 7*3*2 + 7*4*2 = 122

4 0

3 years ago

Read 2 more answers

A person owns two shops. this year the telephone bill for the first job was $640 less than four times a telephone bill for the s

KIM [24]

Answer: F=bill for first shop=4S-$630; S=bill for second shop

F+S=$3265 Substitute for F

4S-$630+S=$3265

5S=$3895

S=$779 ANSWER 1: The bill for the second shop was $779

F=4S-$630

F=4($779)-$630

F=$3116-$630=$2486 ANSWER 2: The bill for the first shop was $2486.

CHECK:

F+S=$3265

$2486+$779=$3265

$3265=$3265

explanation:

5 0

3 years ago

When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w

deff fn [24]

Answer:

A 90% confidence interval for p will be narrower than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - α) % confidence interval for a population proportion is:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Here $\hat p$ is the sample proportion.

The margin of error of the confidence interval is:

$MOE= z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The MOE is dependent on:

Confidence level
Standard deviation
Sample size

The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

It is provided that the sample size and the sample proportion are not altered.

The critical value of z for 90% confidence level is:

$z_{\alpha/2}= z_{0.10/2}=z_{0.05}=1.645$

And the critical value of z for 99% confidence level is:

$z_{\alpha/2}= z_{0.05/2}=z_{0.05}=1.96$

So as the confidence level increases the critical value increases.

Thus, a 90% confidence interval for p will be narrower than the 99% confidence interval.

6 0

2 years ago