What value of x will make this proportion true? 14/x = 1/2

Answers

Answer 1

Answer: $(14)/(x)=(1)/(2)\n x=28$

Answer 2

Answer: $14/x=1/2 \n x=14*2 \n x=28$

S= {28}

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if the perimeter of the rectangle is 96 feet, what are the length and width of the rectangular section?

Answers

Answer:

length is 39ft

width is 9ft

Step-by-step explanation:

let 6x - 15 be the length and x be the width

the perimeter of a rectangle is 2(L+W)

96 = 2(6x - 15 + x)

96 = 2(7x - 15)

96 = 14x - 30

126 = 14x

x = 9

Length is 6x - 15

6(9) - 15

54 - 15 = 39

Simplest form of the expression
3sqrt750+3sqrt2058-3sqrt48.

Answers

$3√(750)+3√(2058)-3√(48)\n=3√(30*25)+3√(42*49)-3√(3*16)\n=15√(30)+21√(42)-12√(3)$

Harry recently raised his employees' wages, which has increased production costs. Which factor did the salary hike affect?a)fixed cost
b)marginal cost
c)sunk cost

Answers

sunk cost is investment fixed costs do not change with changes in output if the hours remain the same regardless of output, then this salary increase has increased fixed costs if the hours fluctuate with output, then this increases variable cost.

Walt made an extra $7000 last year from a part-time job. He invested part of the money at 3% and the rest at 3.25%. He made a total of $220.00 in interest. How much was invested at 3.25%?A $4000

B $3000

C $5000

D $3500

Answers

Answer: A $4000

Step-by-step explanation:

Let x represent the amount which he invested at 3% interest.

Let y represent the amount which he invested at 3.25% interest.

Walt made an extra $7000 last year from a part-time job. He invested part of the money at 3% and the rest at 3.25%. This means that

x + y = 7000

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 3% interest,

P = $x

T = 1 year

R = 3℅

I = (x × 3 × 1)/100 = 0.03x

Considering the account paying 3.25% interest,

P = $y

T = 1 year

R = 3.25℅

I = (y × 3.25 × 1)/100 = 0.0325y

He made a total of $220.00 in interest., it means that

0.03x + 0.0325y = 220 - - - - - - - -- -1

Substituting x = 7000 - y into equation 1, it becomes

0.03(7000- y) + 0.0325y = 220

210 - 0.03y + 0.0325y = 220

- 0.03y + 0.0325y = 220 - 210

0.0025y = 10

y = 10/0.0025

y = 4000

What is the factored form of the expression? 3x 2 + 8x – 16A. (3x + 4)(x – 4)
B. (3x + 4)(x + 4)
C. (3x – 4)(x – 4)
D. (3x – 4)(x + 4)

Answers

The correct answer is D. (3x-4)(x+4).

Answer:

The factored form of the expression 3x + 8x – 16 is (3x -4) (x + 4) .

Option (D) is correct.

Step-by-step explanation:

As the expression given in the question be.

$3x^(2) +8x -16 = 0$

$3x^(2) +12x - 4x -16 = 0$

3x (x + 4) - 4 (x +4) = 0

(3x -4) (x + 4) = 0

Therefore the factored form of the expression 3x + 8x – 16 is (3x -4) (x + 4) .

Option (D) is correct.

A perfect score on a quiz is 100. Mrs. Frisoil gives students 1 point for putting their name on the paper. If there are only 9 questions on the quiz, how much is each question worth? Explain how you found your answer

Answers

Answer:

Step-by-step explanation:

Let's start with the total number of points (100) and take what we already know, away.

We know the name is worth one point.

99 points left over

Let's divide by the 9 questions there are to see if they all equal the same.

They do because 99/9 is 11 points each!

Very glad I could help!!

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