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4 years ago

The sum of 2 numbers is 22. three times one number is equal to ten more than the other. find the numbers

1 answer:

8 0

Translating that problem into an equation with x as a variable we get 3x + x +10 = 22. Combine like terms to get 4x + 10 = 22. Subtract 10 on both sides to get 4x = 12. Divide by 4 on both sides to get x = 3.

Now to plug in. The first number was represented by 3x. So substituting 3 for the x we get 3(3) = 9. And again for the second number represented by x+10, 3+10 = 13.

Your numbers are 9 and 13. To check just add them together. 13 + 9 is 22, I'll save ya the effort.

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2 to the power of negative 6

Alik [6]

Answer:

0.015625

Step-by-step explanation:

2^-6=0.015625

you can do it on any calculator to check

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3 years ago

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Number 6 help. <br> .......................

hichkok12 [17]

Since it says only write a expression, you can do 45xM= ?/?

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3 years ago

Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1>3 SUVs per month, where t is time in mon

uysha [10]

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

$S'(t)=-24^{1/3}$ SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given $S'(t)=-24^{1/3}$ ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from $S'(t)=-24^{1/3}$

$\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\$

On Integrating both sides

$S(t)=-18t^{4/3}+c ~...~...~(2)$

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

$\therefore$ from eq (2)

$S(t)=-18t^{4/3}+1200 ~...~...~(3)$

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) $300=-18t^{4/3}+1200$

$t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030$

Hence the company will continue 18.8020 months.

Learn more about integration here-

brainly.com/question/18125359

#SPJ10

8 0

2 years ago

CAN SOMEONE PLEASE HELP ME???

Varvara68 [4.7K]

Answer:

m=2

Step-by-step explanation:

slope is the average rate of change in a specific interval

we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)

m=(y2-y1)/(x2-x1)

=(-1-7)/(-3-1)

=-8/-4

5 0

2 years ago

What is the value of x 5,2.5,7.5,10

Norma-Jean [14]

This question is referred to two similar triangles.

One triangle has sides x and x - 2.

The other triangle has the respective sides x + x + 5 and x - 2 + x + 1

Then you can state a proportionality relation between the sides>

[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]

=> [2x + 5] / x = [2x - 1] / [x - 2]

=> (2x + 5)(x - 2) = (2x - 1)x

=> 2x^2 - 4x + 5x - 10 = 2x^2 - x

=> x - 10 = - x

=> 2x = 10

=> x = 10 / 2

=> x = 5

Answer: x = 5

3 0

3 years ago

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