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aleksandr82 [10.1K]
3 years ago
9

PLEASE HELP ME

Mathematics
1 answer:
ElenaW [278]3 years ago
6 0

Answer:

Step-by-step explanation: One number is four more than the other."   is represented as 'x'

"One number is four more than the other."  is represented as 'x+4'

"Their sum is fourteen."  is represented as 'x+(x+4)=14'

"Find both numbers."

x+(x+4)=14

x+x+4=14  (add like terms)

2x+4=14 (isolate your 'x' variable on one side of the equality by subtracting 4 from both sides)

2x+4-4=14-4

2x=10 (isolate your 'x' variable by dividing by 2 from both sides)

2x/2=10/2

x=5  (this is the answer to one number)

x+4=5+4=9 (plug in 5 for 'x' and this is the answer to four more than another)

Your two numbers are 5 and 9.

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A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually.
Ghella [55]
A) A=500(1+0.015)^t
b)800=500(1.015)^t
800/500=1.015^t
t=log(800/500)/log(1.015)
t=31.6 years
3 0
3 years ago
Which of the following is the product of the rational expression shown below
wolverine [178]

Option C: \frac{x^{2}-9}{x^{2}-4} is the product of the rational expression.

Explanation:

The given rational expression is \frac{x+3}{x+2} \cdot \frac{x-3}{x-2}

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

\frac{(x+3)(x-3)}{(x+2)(x-2)}

Let us use the identity (a+b)(a-b)=a^2-b^2 in the above expression.

Thus, we get;

\frac{x^{2} -3^2}{x^{2} -2^2}

Simplifying the terms, we get;

\frac{x^{2}-9}{x^{2}-4}

Thus, the product of the rational expression is \frac{x^{2}-9}{x^{2}-4}

Hence, Option C is the correct answer.

6 0
3 years ago
I would like a Brainiac to help me with this thing - Thanks!
klemol [59]
Lateral surface area = (23×12.04)+(23×8)+(23×9)
= 276.92 + 184 + 207
=667.92
= 668m²

Total surface area = 668 + 1/2(2×8×9)
= 668 + 72
= 740m²
7 0
3 years ago
How to calculate slope?
LUCKY_DIMON [66]

Answer:

Rise/run    rise over run

Step-by-step explanation:

y2-y1/x2-x1

7 0
2 years ago
Evaluate 3^-3 x 3^4 x 3 x 3^-5 Answers<br> a. -27<br> b. 1/27<br> c. -81<br> d. 1/81
Sauron [17]
The answer is b. 1/27
3^-3=1/27 and 3^4=81. 1/27×81=3. 3×3=9. 3^-5=1/243. 1/243×9= 1/27. The answer is b. 1/27.
8 0
3 years ago
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