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Wewaii [24]
3 years ago
15

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
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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
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