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irinina [24]
3 years ago
8

Choose the pair of numbers that is not a solution to the given equation.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0
The answer is in this problem 1,2
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Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o
Evgesh-ka [11]

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

c = coffee\\ j= juice\\ d = doughnut

So, we have:

Anna

2c + j + 2d = 7.50

Barry

c + 3d = 5.00

Cathy

3c + j + 4d = 11.50

Required

The price of each

We have:

2c + j + 2d = 7.50

c + 3d = 5.00

3c + j + 4d = 11.50

Make c the subject in: c + 3d = 5.00

c = 5.00 - 3d

Substitute c = 5.00 - 3d in 2c + j + 2d = 7.50 and 3c + j + 4d = 11.50

2c + j + 2d = 7.50

2[5.00 - 3d] + j + 2d = 7.50

10.00 - 6d+ j + 2d = 7.50

Make j the subject

j = 7.50 - 10.0 +6d - 2d

j = -2.50 +4d

3c + j + 4d = 11.50

3[5.00 - 3d] + j + 4d = 11.50

15.00 - 9d + j + 4d = 11.50

Make j the subject

j = 11.50 - 15.00 + 9d -4d

j = -3.50 + 5d

So, we have:

j = -3.50 + 5d and j = -2.50 +4d

Equate both values of  j

-3.50 + 5d = -2.50 + 4d

Collect like terms

5d - 4d = 3.50 -2.50

d = 1.00

Substitute d = 1.00 in j = -3.50 + 5d

j = -3.50 + 5d

j = -3.50 + 5 * 1.00

j = -3.50 + 5.00

j = 1.50

To solve for c, we substitute d = 1.00 in c + 3d = 5.00

c + 3 * 1.00 =5.00

c + 3.00 =5.00

Solve for c

c =- 3.00 +5.00

c =2.00

7 0
3 years ago
Lainey bought a set of 20 markers for $6 dollar sign, 6. What is the cost of 1 marker?
marin [14]
Hello!

To find the price of one marker you divide the price paid by the amount of markers bought

6 / 20 = 0.30

A marker cost $0.30

The answer is $0.30

Hope this helps!
5 0
3 years ago
Read 2 more answers
Which list contains ONLY irrational numbers?
Black_prince [1.1K]
The first choice is the contains only irrational number
8 0
3 years ago
Read 2 more answers
A consumer bought a CD for $18.25 and paid with a $20 bill. How much change was there?
Lerok [7]
$1.75 would be the answer
8 0
3 years ago
Read 2 more answers
The difference of a number divided by 5 and 6 equals 2. <br><br> write equation
dusya [7]
(x/5)-6=2

It depends by difference of. Difference between is more specific. 



4 0
3 years ago
Read 2 more answers
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