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Advocard [28]
3 years ago
7

The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob

usta beans is modeled by the equation below, where A = the pounds of Arabica and R = pounds of Robusta: (2 points) 700A + 1200R = 1,000,000 If a mixture contains 1000 pounds of Arabica beans, how many pounds of Robusta beans should be in the mixture?
Mathematics
1 answer:
Andreyy893 years ago
7 0

Answer:

If a mixture contains 1000 pounds of Arabica beans, there should be <u>250 pounds of Robusta beans</u> in the mixture.

Step-by-step explanation:

700A+1,200R=1,000,000

700(1000) +1,200R=1,000,000 - First, plug in the A value and simplify .

700000+1,200R=1,000,000 - Then, subtract 700,000 from both sides.

1,200R=300,000 - Finally, divide by 1,200 on both sides of the equation.

R=250  - This is your value for R, or the Robusta beans.

<u>250 pounds of Robusta beans</u>

Hope this helps!

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Manuel bought 2kg of jelly beans and 2kg of gummy worms for a total of $26. Danny bought 2kg of jelly beans and 3kg of gummy wor
charle [14.2K]

Answer:

Jelly beans: $6 for 1 kg

Gummy worms: $7 for 1 kg

Step-by-step explanation:

In this question, we need to find the cost of 1kg of jelly beans and gummy worms.

To do this, make equations for both scenarios and solve:

2j + 2g = 26

2j + 3g = 33

Turn the bottom equation negative, as we will first solve for gummy worms (g).

2j + 2g = 26

-2j - 3g = -33

Solve:

-g = -7

Divide both sides by -1.

g = 7

We now know that gummy worms cost $7 for 1 kg

To solve for jellybeans (j), plug in 7 to g in one of the equations and solve:

2j + 2(7) = 26

2j + 14 = 26

Subtract 14 from both sides.

2j = 12

Divide both sides by 2.

j = 6

Jellybeans cost $6 for 1 kg.

Check answer by plugging in values to one of the equations:

2(6) + 2(7) = 26

12 + 14 = 26

26 = 26

3 0
3 years ago
Which graph shows the solution to the following inequality?<br>4d- 6 &lt; 18 <br>PLEASE HELP​
kenny6666 [7]

Answer:

answer a

Step-by-step explanation:

4d-6 < 18

  • Let's isolate d on one side of the equation. Ignore the inequality for now. We'll deal with that later.

4d-6=18\\4d-6+6=18+6\\4d=24\\\frac{4d}{4}=\frac{24}{4}\\ d=6

  • Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating d, but if this confuses you, just do your math and keep the inequality there.

d < 6

  • On a number line, this would include every number <em>less than </em>6, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>6. But, how do we decide between answers a and c?
  • If a line has point at its beginning, 6, then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
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f(x)=-5x^2-2x+20\\\\f(3)\to\text{put x=3 to the equation of the function f}\\\\f(3)=-5(3^2)-2(3)+20=-5(9)-6+20=-45-6+20=-31\\\\Answer:\ f(3)=-31

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