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Vladimir [108]
2 years ago
12

Hazel wants to mix 12 pounds of her special blend coffee that will cost her $12.50 per pound. She uses Columbian and Sumatra cof

fees which cost her $9.25 and $14.25 per pound.
Write an equation that relates all the quantities

How many pounds of each coffee does she need
Mathematics
1 answer:
k0ka [10]2 years ago
3 0
Let x be the amount of Columbian coffee in the mixture and y the amount of Sumatra coffee in the mixture, then
x + y = 1 . . . (1)
9.25x + 14.25y = 12.50 . . . (2)

(1) x 9.25 => 9.25x + 9.25y = 9.25 . . . (3)

(2) - (3) => 5y = 3.25 => y = 3.25/5 = 0.65

From (1), x + 0.65 = 1 => x = 1 - 0.65 = 0.35

1 pound of the mixture contains 0.35 Columbian coffee and 0.65 Sumatra coffee
Therefore, 12 pounds of the mixture will contain 0.35 x 12 = 4.2 pounds of Columbian coffee and 0.65 x 12 = 7.8 pounds of Sumatra coffee
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First, we convert the percentage to a decimal.
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3 years ago
Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°. What is the me
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5 0
3 years ago
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Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0
Stells [14]

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = \frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}

                    = -\frac{16}{8}

                    = -2

and y = \frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}

         = -\frac{40}{8}

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

4 0
3 years ago
How to put 1.3, 1 1/3, 1.34 in order from least to greatest
Natasha_Volkova [10]
11/3, 1.3, 1.34 Is the correct way to put it. PLZ give me the Brainliest answer. :)
7 0
3 years ago
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Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for
snow_lady [41]

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

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3 years ago
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