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2 years ago

5

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Mexican Sha

de Grown blend with the Rift Valley blend, but always in the same proportion. Yesterday, you mixed 80 pounds of the Mexican Shade Grown blend with 24 pounds of the Rift Valley blend. Today, there is 60 pounds of the Mexican Shade Grown coffee left in stock. How many pounds of the Rift Valley coffee should you mix with it to get your secret blend?

1 answer:

Anuta_ua [19.1K]2 years ago

7 0

60 is 3/4 of 80. Multiply 24 x 3/4 and voila you have your answer, my friend.

It's 18 pounds of Rift Valley.

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The perimeter of a rectangle is 42 inches, and its area is 108 square inches. find the length and width of the rectangle.

Anit [1.1K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 108 and p = 42
$108 = \frac{42}{2}l - l^{2}$
$108 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 108 = 0$

Factor.
$(l -9)(l-12) = 0$

Make each parenthesis set equal to 0.
$l-9=0$ $l-12=0$

Add.
$l = 9$ $l = 12$

By doing this you solve for both the width and length so the answer is:
w = 12 L = 9

8 0

3 years ago

Which of the following is a solution for 5 - 2 x ≤ -3?<br><br> a -4<br> b -1<br> c 1<br> d 4

denpristay [2]

Answer:

$x \geq 4$

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

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asambeis [7]

9950x=8650x+250000
Subtract 8650x from both sides
1300x= 250000

3 0

2 years ago

A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of funds' returns shows an averag

Feliz [49]

A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is

A. 0.037773 to 0.202227

B. 3.7773% to 20.2227%

C. 59.98786% to 61.01214%

D. 51.7773% to 68.2227%

E. 10.988% to 13.012%

Answer: E. 10.988% to 13.012%

Step-by-step explanation:

Given;

Mean x= 12%

Standard deviation r = 4%

Number of samples tested n = 60

Confidence interval is 95%

Z' = t(0.025)= 1.96

Confidence interval = x +/- Z'(r/√n)

= 12% +/- 1.96(4%/√60)

= 12% +/- 0.01214%

Confidence interval= (10.988% to 13.012%)

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3 years ago

A pump fills a pool at the rate of 20 cubic meters in an hour. If each cubic meter of water costs $10, how many minutes will the

fomenos

The first thing any good mathematician does is convert the measurements to the same unit as what the question is asking. In this problem, it states that the pool fills at a rate of 20 cubic meters per hour. Just keep in mind that an hour is 60 minutes.

The next step is to see how many cubic meters will cost $300. This can be done by dividing 300 by 10. This gets you 30 cubic meters of water.

You already know that 60 minutes is 20 cubic meters of water. That leaves the remaining 10 cubic meters of water. By dividing the rate given, you get that 30 minutes is 10 cubic meters of water. Add the 60 and 30 together to get 90 minutes.

It will take 90 minutes for the pump to use $300.

7 0

3 years ago