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Len [333]
3 years ago
9

On a timed session please help I have one more question after this.....

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

The coffee shop used 52 pounds of Type A coffee.

Step-by-step explanation:

Cost of Type A coffee per pound = 5.25

Cost of Type B coffee per pound = 4.10

Total pounds used in blend = 142

Total cost = 642.00

Let,

x be the pounds of Type A coffee used

y be the pounds of Type B coffee used

According to given statement;

x+y=142      Eqn 1

5.25x+4.10y=642.00   Eqn 2

Multiplying Eqn 1 by 4.10

4.10(x+y=142)\\4.10x+4.10y=582.20\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(5.25x+4.10y)-(4.10x+4.10y)=642.00-582.20\\5.25x+4.10y-4.10x-4.10y=59.80\\1.15x=59.80\\

Dividing both sides by 1.15

\frac{1.15x}{1.15}=\frac{59.80}{1.15}\\x=52\\

The coffee shop used 52 pounds of Type A coffee.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10677255
  • brainly.com/question/10689103

#LearnwithBrainly

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vekshin1

Answer:

10 in

Step-by-step explanation:

Old proportions:

2 x 3

New proportions

h x 15

Assuming the painting has been increased by a constant scale factor.

Where x is the unknown scale factor, and h is the height after it has been enlarged.

3 * x = 15\\2 * x = h

Rearrange second equation:

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Substitute:

3*\frac{h}{2} =15\\\frac{h}{2}=5\\h=10

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weeeeeb [17]

Answer:

m<I=57

m<J=57

m<K=66

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

m<I= 3x+18

m<K= 5x+1

m<I is congruent to m<J.

We can plug the information we already know into the equation.

3x+18+3x+18+5x+1=180

11x+37=180

Subtract 37 from both sides.

11x=143

x=13

Now, we can find out what the angles are.

m<I= 3x+18

m<I=3(13)+18

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We know that m<I=m<J, so they are both equal to 57 degrees.

m<J=57

Now for m<K:

m<K=5x+1

m<K=5(13)+1

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We know this is correct because 57+57+66=180.

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