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kiruha [24]
3 years ago
14

Luke was given a gift card for a coffee shop. Each morning, Luke uses the card to buy one cup of coffee. The original amount of

money on the gift card was $30 and after buying 6 cups of coffee, the card had a $12 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee
Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Answer:

A= −3x+30

A=30 when x=0  which is the y−intercept.

(0,30) is a point on the graph

A=12 when x=6.

Find the slope using the two points

12-30/6-0= -18/6=-3

 

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I have the answer I just have this one question. Will all the paint fit into the bucket?
klasskru [66]

Answer:

brandon

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of  pints of yellow color become  pint, in which the ampunt of yellow color is  pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

So, 6 pints of yellow paint to be added to the bucket to make the desired shade.

Hence, Brandon is correct.

8 0
3 years ago
What is the minimum value of C = 7x + 8y, given the constraints: 2x + y ≥ 8, x + y ≥ 6, x ≥ 0, y ≥ 0. A. 32 B. 42 C. 46 D. 64
marshall27 [118]

Answer: The minimum value of C is 46.

Step-by-step explanation:

Since, Here, We have to find out Min C = 7x+8y

Given the constraints are 2x+y\geq 8 -------(1)

x+y \geq 6   ------------- (2)

x \geq 0, y \geq 0  -------- (3)

Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)

And, 2\times 0+0\geq 8⇒0\geq 8 ( false)

Therefore the area of line 1) does not contain the origin.

For equation 2) x-intercept, (6, 0) and y-intercept (0,6)

And, 0+0\geq 6⇒0\geq 6 ( false)

Therefore the area of line 2) does not contain the origin.

Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)

At A≡(0,8) , C= 64

At E≡(2,4),  C= 46

At B≡(6,0),  C= 42

Thus at B, C is minimum, And its minimum value = 42


5 0
3 years ago
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Step-by-step explanation:

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3 years ago
Calculate the value of 3a – 4b + 6c – 3d, when <br> a = 5 b = 4 c = 3 d = 2
Ne4ueva [31]

Answer:

3a – 4b + 6c – 3d

when a = 5 b = 4 c = 3 d = 2

the value

= 3×5 - 4×4 + 6×3 - 3×2

=15-16+18-6

=11

3 0
2 years ago
on the same bus, 1/3 of the French speakers can also speak German. how many people can speak both German and French
Alenkinab [10]
It's easy if you just break it into pieces...

1/3 OF the 4/9 French OF people on the bus (27) also speak German.

Of= Multiply

1/3*4/9*27/1=4 speak French AND German




3 0
3 years ago
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