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3 years ago

Use the formula and the values given to find the value of the remaining variable.

Mathematics

1 answer:

borishaifa [10]3 years ago

3 0

Answer:

r = 11

Step-by-step explanation:

Substituting the given value for C, we have ...

22€ = 2€·r

Dividing by the coefficient of r, we get

22€/(2€) = r = 11

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The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = $\frac{7}{2} ft$

Step-by-step explanation:

Given,

Area of rectangle = $42 \: {ft}^{2}$

Width = X

Length = 2x + 5

Now,

$x(2x + 5) = 42$

$2 {x}^{2} + 5x = 42$

$2 {x}^{2} + 5x - 42 = 0$

$2 {x}^{2} + 12x - 7x - 42 = 0$

$2x(x + 6) - 7(x + 6) = 0$

$(2x - 7)(x + 6) = 0$

Either

$2x - 7 = 0$

$2x = 0 + 7$

$2x = 7$

$x = \frac{7}{2}$

Or,

$x + 6 = 0$

$x = 0 - 6$

$x = - 6$

Negative value can't be taken.

So, width = $\frac{7}{2} ft$

Again,

Finding the value of length,

Length = $2x + 5$

$2 \times \frac{7}{2} + 5$

$7 + 5$

$12$

Length = 12 ft

7 0

3 years ago

Read 2 more answers

the proper scientific notation for 676,000,000,000 is a. .676 × 1012 b. 6.76 × 1011 c. 67.6 × 1010 d. 676 × 109

Iteru [2.4K]

The answer is either c of d but if I had to pick one I would say C.

8 0

3 years ago

if y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8? a. 1/9 b. 2/3 c. 54 d. 96

Lapatulllka [165]

The value of y when x is 8 is b. 2/3

8 0

3 years ago

Read 2 more answers

Solve the system of linear equations in two variables by elimination or substitution.

taurus [48]

Answer:

( $\frac{1}{2}$ , 0 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 2 → (1)

2x - 3y = 1 → (2)

Adding (1) and (2) term by term will eliminate the y- term, that is

6x = 3 ( divide both sides by 6 )

x = $\frac{3}{6}$ = $\frac{1}{2}$

Substitute x = $\frac{1}{2}$ into either of the 2 equations and evaluate for y

Substituting into (1)

4( $\frac{1}{2}$ ) + 3y = 2

2 + 3y = 2 ( subtract 2 from both sides )

3y = 0 ⇒ y = 0

Solution is ( $\frac{1}{2}$ , 0 )

8 0

3 years ago

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95.

gayaneshka [121]

Answer: x > 75-69.95; you need five dollars and five cents more for free shipping ($5.05)

Step-by-step explanation: i believe this is the correct answer because as long as you have 75 dollars or more, then you will be good so that’s how i got the inequality. to find this you just subtract the amount needed (75) by the amount you have and you get your answer. oh and to be clear x represents the amount needed for free shipping. i am not sure if i understood the problem correctly so i apologize if it is incorrect. i hope this helped and good luck!

3 0

3 years ago