Find the distance between points A and C.

Kaapo is mixing Kona beans and Maui beans to make 25 pounds of coffee blend. Kona beans cost Kaapo $15 per pound and Maui beans

son4ous [18]

Answer:

<u>Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of pounds of the coffee blend = 25

Cost of Kona beans = US$ 15 per pound

Cost of Maui beans = US$ 24 per pound

Cost of the coffee blend = US$ 17.70 per pound

2. How many pounds of each coffee bean should Kaapo use for his blend to cost him $17.70 per pound?

Let's build our equation to answer the question, this way:

x = Number of pounds of Kona beans for Kaapo's blend

25 - x = Number of pounds of Maui beans for Kaapo's blend

Number of pounds of Kona beans for Kaapo's blend * Cost of Kona beans + Number of pounds of Maui beans for Kaapo's blend * Cost of Maui beans = Number of pounds of the coffee blend * Cost of the coffee blend

Replacing with the real values, we have:

15x + 24 (25-x) = 17.70 * 25

15x + 600 - 24x = 442.50

-9x = 442.50 - 600

-9x = -157.50

x = -157.50/-9

x = 17.50 ⇒ 25 - x = 7.50

<u>Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.</u>

8 0

3 years ago

Basketball star Mumford (a six foot senior forward) places a mirror on the ground x ft. from the base of a basketball goal. He w

gulaghasi [49]

Answer:

6 feet 8 inches

Step-by-step explanation:

The mirror ensures that the line of sight makes similar triangles, so ...

x/10 = 4/6

x = 40/6 . . . . feet = 6 2/3 ft = 6 ft 8 in

The mirror is 6 feet 8 inches from the goal.

4 0

4 years ago

Two angle add up to be complementary if one angle is 15 degree more than 2 times the other find the value of the smaller side

omeli [17]

Let x and y represent the two angles.
.. x + y = 90 . . . . . . two angles are complementary
.. x -2y = 15 . . . . . . one angle is 15 more than twice the other (y = smaller angle)

Subtract the second equation from the first.
.. (x +y) -(x -2y) = (90) -(15)
.. 3y = 75
.. y = 25

The smaller angle is 25 degrees.

7 0

3 years ago

A regular pentagon has an apothem of 7.3 inches and a perimeter of 53 inches. What is the area of the pentagon? Round your answe

zvonat [6]

Answer:

Area pf the regular pentagon is 193 $inch^{2}$ to the nearest whole number

Step-by-step explanation:

In this question, we are tasked with calculating the area of a regular pentagon, given the apothem and the perimeter

Mathematically, the area of a regular pentagon given the apothem and the perimeter can be calculated using the formula below;

Area of regular pentagon = 1/2 × apothem × perimeter

From the question, we can identify that the value of the apothem is 7.3 inches, while the value of the perimeter is 53 inches

We plug these values into the equation above to get;

Area = 1/2 × 7.3× 53 = 386.9/2 = 193.45 which is 193 $inch^{2}$ to the nearest whole number

3 0

4 years ago

Read 2 more answers

Please show your work

White raven [17]

Let a,b & c be the number of cookies Adrian, Bobby and Calvin baked respectively.

(a+b+c)/3 =138

(a+b)/2 =136

a+b=272

a=272-b

(b+c)/2 =125

b+c=250

c=250-b

Sub a=272-b and c=250-b into (a+b+c)/3 =138,

(a+b+c)/3 =138

[(272-b)+b+(250-b)]/3 = 138

272-b+b+250-b = 414

-b = -108

b=108

From the above,

a=272-b

=272-108

a=164

c=250-b

=250-108

c=142

∵ a=164

b=108

c=142

∴ Adrian baked 164 cookies.

Bobby baked 108 cookies.

Calvin baked 142 cookies.

3 0

3 years ago