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2 years ago

6

Sandra exercised 2/3 hour everyday for 2 weeks while she was on vacation. How many hours did Sandra exercise during her vacation

?

1 answer:

bekas [8.4K]2 years ago

4 0

the answer is 9.33 hours

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Solve the system of linear equations. (enter your answers as a comma-separated list. if there is no solution, enter no solution.

Neporo4naja [7]

There is no system to solve for

7 0

2 years ago

Simplify the expression below.<br> x4 • x4 • x4

beks73 [17]

Answer:

x^12.

Step-by-step explanation:

x^4 times x^4 times x^4.

Since we don't know x and the 4's are exponents we just add them together.

5 0

2 years ago

The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original

evablogger [386]

<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>

${:\implies \quad \sf 5(s+8)=65}$

${:\implies \quad \sf 5s+5\times 8=65}$

${:\implies \quad \sf 5s+40=65}$

${:\implies \quad \sf 5s=65-40}$

${:\implies \quad \sf 5s=25}$

${:\implies \quad \sf s=\dfrac{25}{5}=5}$

${:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}$

As we assumed the original side to be <em><u>s</u></em> .

<em>Hence, the original side's length 5 inches </em>

8 0

1 year ago

Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need

Andreas93 [3]

Answer: $\frac{3}{4}\ cup$ of quinoa, $\frac{3}{8}\ cup$ of flaxseed, $1\ cup$ of soy protein.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "q" the amount of cups of quinoa you'd need to use making the granolas with 3 cups of oats.

Based on the table you can write the following proportion:

$\frac{\frac{1}{2} }{2}=\frac{q}{3}$

Solving for "q", you get:

$\frac{1}{4}=\frac{q}{3}\\\\q=\frac{3}{4}$

Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.

With the data given in the table you can write the following proportion:

$\frac{\frac{1}{4} }{2}=\frac{f}{3}$

Solving for "f", you get:

$\frac{1}{8}=\frac{f}{3}\\\\f=\frac{3}{8}$

Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.

Using the table you can write this proportion:

$\frac{\frac{2}{3} }{2}=\frac{s}{3}$

Solving for "s", you get:

$\frac{1}{3}=\frac{s}{3}\\\\s=1$

6 0

2 years ago

If f(x) = - 8x +2 then f^-1(x) =

mrs_skeptik [129]

Answer:

f^-1(x) = -1/8x +1/4

Step-by-step explanation:

To find the inverse of a function

Exchange x and y and then solve for y

y =-8x+2

Exchange x and y

x = -8y+2

Now solve for y

Subtract 2 from each side

x-2 = -8y+2-2

x-2 = -8y

Divide by -8

(x-2)/-8 = -8y/-8

Distribute

-1/8x +1/4 = y

f^-1(x) = -1/8x +1/4

3 0

3 years ago