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AlexFokin [52]
3 years ago
10

Brown's Grounds Coffee is selling for $2.50 a pound is mixed with Coffee From Heaven selling for $2.80 a pound to produce 100 po

unds of a blend selling for $2.62 per pound. How many pounds of each kind of coffee were mixed?
Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0

Answer: the number of pounds of Brown's Grounds Coffee that was mixed is 60

the number of pounds of Coffee From Heaven that was mixed is 40

Step-by-step explanation:

Let x represent the number of pounds of Brown's Grounds Coffee that was mixed.

Let y represent the number of pounds of Coffee From Heaven that was mixed.

Brown's Grounds Coffee is selling for $2.50 a pound is mixed with Coffee From Heaven selling for $2.80. 100 pounds was produced and sold at the rate of $2.62 per pound. This means that the total cost of the blend produced is 100×2.62 = $262. Therefore

2.5x + 2.8y = 262 - - - - - -- - -- - -1

x + y = 100

Substituting x = 100 - y into equation 1, it becomes

2.5(100 - y) + 2.8y = 262

250 - 2.5y + 2.8y = 262

- 2.5y + 2.8y = 262 - 250

0.3y = 12

y = 12/0.3 = 40

x = 100 - y = 100 - 40

x = 60

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barxatty [35]

Answer:

The length of each piece is 13 m.

Step-by-step explanation:

Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?  

a) Each piece measures 312m

c) Each piece measures 13m

d) each piece mites 92m

b) Each piece measures 9m and 75cm

Total length, L =  78 m

Number of pieces, n = 6

length of each piece,

d = L/n = 78/6 = 13 m

So, the correct option is (c).  

6 0
3 years ago
Without the wind, a plane would fly due east at a rate of 150 mph. The wind is blowing southeast at a rate of 50 mph. The wind i
ch4aika [34]
The actual speed of the plane with the wind:
v² = ( 150 + 50 · cos 45°)² + ( 50 · sin 45°)²
v² = ( 150 + 35.355 )² + 35.355²
v² = 34,356.467 + 1,249.976
v = √35,606.452
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8 0
3 years ago
What would be the value of $100 after 10 years if you earn 11 percent interest per year
uysha [10]
10 times 11% is 11 dollars, so 11 times 10 equals 110. Then 110 plus 100 equals 210. So you'd have $210 after ten years with 11 percent interest. 
5 0
3 years ago
PLZZZZ HELP
Feliz [49]

Answer:

The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.

According to exterior angle theorem: It a triangle

Exterior angle = Sum of opposite interior angles

In triangle BED,

The measure of angle B is 54°.

In triangle ABC,

The measure of angle A is 51°.

In triangle AEF,

Using angle sum property,

Therefore the measure of angle AFE is 47°.

4 0
3 years ago
Read 2 more answers
What is the product of three square root of eight times four square root of three? Simplify your answer.
igor_vitrenko [27]
The\ product\ of 3 \sqrt{8}*4 \sqrt{3}\ is\ 24 \sqrt{6}.


First, recognize that all the numbers can be moved around because they are being multiplied together.
Next, rearrange the expression so that the whole-number coefficients are together:

3\sqrt{8}*4\sqrt{6}
3*4*\sqrt{8}*\sqrt{3}

Now try to simplify the square-roots to find any squares inside that can be reduced and taken out of the square-root:

3*4*\sqrt{(2*2*2)}*\sqrt{3}
3*4*\sqrt{4*2}*\sqrt{3}

Multiply the square roots together:
3*4*\sqrt{(4*2*3)}
3*4*\sqrt{(4*6)}

Now take out the square-root of 4 and simplify
3*4*\sqrt{4}*\sqrt{6}
3*4*(2)*\sqrt{6}
24\sqrt{6}

Thus,\ your\ answer\ is\ 24\sqrt{6}
7 0
3 years ago
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