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Katen [24]
3 years ago
8

A coffee house sells a blended coffee that is made using a $6-per-pound grade and a $4.50 per-pound Grade. If 5 pounds of this b

lend costs $27, How many pounds of each type of coffee are in the mixture?
Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

  • 3 lbs of $6 coffee
  • 2 lbs of $4.50 coffee

Step-by-step explanation:

Let x represent the number of pounds of $6 coffee. Then the total cost of the mix is ...

  6x + 4.50(5 -x) = 27

  1.5x +22.50 = 27.00 . . . . . . simplify

  1.5x = 4.50 . . . . . . . . . . . . . . subtract 22.50

  x = 3 . . . . . . . . . . . . . . . . . . . .divide by 1.5; pounds of $6 coffee

  5 -x = 2 . . . . . . . . . . . . . . . . . pounds of $4.50 coffee

3 pounds of $6 coffee and 2 pounds of $4.50 coffee were used in the mix.

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Seven pipes empty a water tank in five days. In how many days would four pipes empty this tank? Give your answer in days and hou
Bogdan [553]

Answer:

It would take 8 days 18 hours for 4 pipes to empty the tank.

Step-by-step explanation:

To solve this, first, we need to check if this is a direct or indirect proportion

As the number of pipes increases, the number of days to empty a water tank decreases, as the number of pipes decreases, the number of days it takes to empty a water tank increases. This is an indirect proportion.

Solving using  proportion;

since it is an indirect proportion, the arrangement differs from that of the direct proportion, it will be arrange inversely to each other

Let x be the number of days it will take to empty 4 pipes

7 pipes = 4 pipes

 x         = 5 days

cross-multiply

4×x = 7×5

4x = 35

Divide both-side of the equation by 4

4x/4 = 35/4

x = 8.75 days

But we are asked to leave our answer in days and hour

8.75 days = 8 days + 0.75 days

0.75 day is not up to a day, so we will change it to hour

0.75 day = 0.75 × 24 hours =  18 hours

8.75 days = 8 days 18 hours.

Therefore, it would take 8 days 18 hours for 4 pipes to empty the tank.

8 0
3 years ago
What is x*x=15? (Basically make an equation that equals up to 15.)
rodikova [14]

Answer:

\displaystyle \sqrt{15} = x

Step-by-step explanation:

Be VERY careful. When it write out the equation that way, it will give the speculation of this:

\displaystyle 15 = x^2

Now, in this case, since you were extra explanatory about this [what is written in parentheses], two factors I know of that multiply to 15 are these:

** \displaystyle 15 = 2 \times 7\frac{1}{2}

I am joyous to assist you at any time. ☺️

3 0
4 years ago
Create a table and graph the equation y =2x-2
soldi70 [24.7K]

Table:

x  0,1

y  -2,0

Graph is the attached image.

7 0
3 years ago
Write an equation of the line that passes through (1, 2) and is parallel to y = - 5x + 4
vlada-n [284]

Answer:

y = -5x +7

Step-by-step explanation:

8 0
3 years ago
If there is 45 ml of milkshake left .She used 1 part strawberry cream to 4 parts milk .How many ml of milk is left?
Debora [2.8K]

Given:

Remaining milkshake = 45 ml

She used 1 part strawberry cream to 4 parts milk.

To find:

The remaining amount of milk.

Solution:

It is given that, she used 1 part strawberry cream to 4 parts milk. It means the ratio of strawberry cream and milkshake is 1:4.

Let the remaining amount strawberry cream be x and the remaining amount of milk is 4x. Then,

x+4x=45

5x=45

x=\dfrac{45}{5}

x=9

Now, the remaining amount of milk is:

4x=4(9)

4x=36

Therefore, the remaining amount of milk is 36 ml.

3 0
3 years ago
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