For this case we have to bake an amount of 702 cookies, which were distributed in boxes of 18 for sale. Selling each box at the same price earned a profit of 136.50 dollars, you want to know the unit cost of each box of cookies.

Let $"x"$ be the number of boxes of cookies:

So, to know the number of boxes we divide 702 cookies among 18:

$x = \frac {702} {18}\\x = 39$

So, we have Tyler sold 39 boxes of cookies

Now, let $"y"$ be the cost of each box of cookies, to know the unit cost or sale price of the cookie boxes, we divided 136.50 dollars among 39 boxes of cookies, then:

$y = \frac {136.50} {39}\\y = 3.5$

Thus, the cost of each box was 3.5 dollars.

Answer:

The cost of a box is 3.5 dollars

5 0

3 years ago

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Samuel used 1/5 of an ounce of butter to make 1/15 of a pound of jelly. How many ounces of butter are needed to make a pound of

vredina [299]

Set up ratio problem

.2 oz butter / (1/15) lb jelly = x / 1 lb jelly

Then cross multiply the stuff opposite each other in the fractions... set it up as a multiplication problem

.2 × 1 = (1/15) × x

.2 = (1/15)x

Multiply both sides of equation by 15 to clear out the (1/15) fraction and get x

x = 3

8 0

3 years ago

What is the x intercept of f(x)=x^2+7x+2? And how do you solve it?

Kitty [74]

Answer:

Since that is a quadratic equation, it will have 2 "x" intercepts.

x^2+7x+2

a = 1 b = 7 c = 2

You would solve for "x" using the quadratic formula.

x = [ -b +- sq root (b ^ 2 - 4 a c) ] / 2 a

x = [ -7 +- sq root (7^2 - 4*1*2) ] / 2 * 1

x = [ -7 +- sq root (49 -8) ] / 2

x1 = [-7 + 6.4031242] / 2

x1 = -.29844

x2 = [-7 - 6.4031242] / 2

x2 = -6.7016

Step-by-step explanation:

4 0

3 years ago