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maks197457 [2]
2 years ago
12

A number increased by three is the same as quadrupling that number increased by five all divided by four. What is le number?

Mathematics
1 answer:
IrinaVladis [17]2 years ago
5 0

Answer:

The number is infinity

Step-by-step explanation:

Let the unknown number be x

if the number increased by three, then we have;

x + 3

Also quadrupling that number increased by five all divided by four is expressed as;

(4x+5)/4

Equating bith expressions and calculating x;

x+3 = (4x+5)/4

cross multiply;

4(x+3) = 4x + 5

4x+12 = 4x + 5

4x-4x = 5 - 12

0x = -7

x = -7/0

x = ∞

Hence the number is infinity

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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th
Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

\displaystyle \bar C(X)=\frac{C(x)}{x}

The cost function is:

C(x) = -20x+1681

And the average cost function is:

\displaystyle \bar C(X)=\frac{-20x+1681}{x}

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

\displaystyle \frac{-20x+1681}{x}\le 21

Multiplying by x:

-20x+1681 \le 21x

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

1681 \le 21x+20x

1681 \le 41x

Swapping sides and changing the sign:

41x \ge 1681

Dividing by 41:

x\ge 41

The least number of items to produce is 41

8 0
2 years ago
I certain brand of coffee comes into sizes a 10.5 ounce package cost $3.24 I 30.6 ounce package cost $9.88 find the unit price f
Fofino [41]
Unit price: divide each coffee's total cost by the total package weight.
First Coffee= $3.24 ÷ 10.5 oz= $0.3085 per oz= $0.31 per oz rounded

Second Coffee= $9.88 <span>÷ </span>30.6 oz= $0.3228 per oz
= $0.32 per oz rounded
 
ANSWER: The first coffee is a better buy at only $0.31 cents per ounce.  The second coffee has a higher price per ounce, so it is not a better buy.
Hope this helps!  :)



6 0
2 years ago
Simplify 32 ⋅ 35. (4 points)<br><br> 37<br><br> 310<br><br> 97<br><br> 910<br> Pllllsssss help
postnew [5]

Answer:

what the heck is that i rhink you mess up

4 0
3 years ago
What is the scale factor?
Fed [463]

Answer:

2

Step-by-step explanation:

it literally doubles in size

5 0
2 years ago
Read 2 more answers
Please help me! which ones are the right ones , pls and ty
Leya [2.2K]

Answer:

-5/6=-5/-6=- 5/6

- 7/2=-7/-2=-7/2

Step-by-step explanation:

8 0
2 years ago
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