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3 years ago

Use distributive property to write an equivalent expression 21P +35Q

Mathematics

1 answer:

Reptile [31]3 years ago

7 0

<span>21P +35Q
=7(3P + 5Q)

hope that helps</span>

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Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of e

emmainna [20.7K]

This question is incomplete, the complete question is;

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x = y = z.

Answer:

the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Step-by-step explanation:

Given that;

line x = y = z and point ( 3, 1, 2 )

the given line can be written as;

[x-0 / 1] = [y-0 / 1] = [z-0 / 1]

if two lines are parallel directional ratios are equal.

so DIRECTIONAL RATIOS of given line is ( 1, 1, 1 )

therefore required line is;

[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t

⇒ [x-3 / 1] = t

x = t+3

[y-1 / 1] = t

y = t+1

[z-2 / 1] = t

z = t+2

Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

8 0

3 years ago

I am needing to know the answer to 3/7 of what number is 9?

kolezko [41]

In math, "of" almost always means "times".

So your question is: 3/7 times (the number) = 9

Multiply each side of that equation by 7 : 3 times (the number) = 63

Divide each side by 3 : <em> The number = 21</em>

3 0

3 years ago

Read 2 more answers

How to solve problem

sergey [27]

Your equation would be 2x - 12 + 3x - 15 = 23
Combine like terms and solve for x

6 0

3 years ago

The length of a rectangle is 4 more than 3 times the width if the perimeter of the rectangle is 18.4 cm what is the area of the

garik1379 [7]

Let's call the width: w

the lenght is then 3w+4 ("4 more than 3 times the width")

and the parameter would be 2(w+3w+4), that is 2*(4w+4), that is 8w+8.

this is also equal to 18.4:

8w+8=18.4
8w=10.4
w=1.3

this is the width, and the lenght is:
4+3*1,3=4+3.9=7.9

and the area is their product:
1.3*7.9=10.27

6 0

3 years ago

Noelle and Micah went to the bank to open new checking accounts. The equation C=0.2n+1.20 represents the monthly cost, C, in dol

Kaylis [27]

Answer:

C = $2.40

n = 6

Step-by-step explanation:

For Noelle,

Equation that represents the monthly cost 'C',

C = 0.2n + 1.20

Here, n = number of checks written in a month

For Micah,

Monthly cost for writing checks 'C' = $1.20

Number of checks 'n' = 3

Since, Cost of writing checks ∝ Number of checks written

C' ∝ n

C' = kn

k = $\frac{C'}{n}$

Here, k = proportionality constant

For C' = 1.2 and n = 3

k = $\frac{1.2}{3}$

k = 0.4

Equation will be,

C' = 0.4n

For any month C = C'

Therefore, 0.2n + 1.20 = 0.4n

0.4n - 0.2n = 1.20

0.2n = 1.20

n = 6

Number of checks written by Noelle and Micah = 6

For n = 6,

C = 0.2(6) + 1.20

C = $2.40

Cost of writing checks = $2.40

7 0

3 years ago