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Anton [14]
3 years ago
12

Solve the pair of simultaneous equations and leave the answer as a fraction in

Mathematics
1 answer:
Elena-2011 [213]3 years ago
6 0

Answer:

x = 11/3 = 3 2/3

y = 13/3 = 4 1/3

Step-by-step explanation:

Here, we want to solve the system of equations simultaneously

x + y = 8

2x -3 = y

From the second equation, we have an equation for y

we can simply proceed to substitute this into the first equation

x + 2x - 3 = 8

3x - 3 = 8

3x = 8 + 3

3x = 11

x = 11/3

Recall;

y = 2x - 3

y = 2(11/3) - 3

y = 22/3 - 3

y = (22-3(3))/3

y = (22-9)/3 = 13/3

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Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49. a. What is the unit price? b. Wh
inysia [295]

Answer:

a) $0.83

b) k = 1.205

c) In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

Step-by-step explanation:

Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.

a. What is the unit price?

The unit price means the cost of 1 cookie

Hence:

3 chocolate chip cookies = $2.49

1 chocolate chip cookies = x

3x = $2.49 × 1

x = $2.49 × 1/3

x = $0.83

Hence, the unit price = $0.83

b. What is the constant of proportionality, or k?

Chocolate chip cookie ∝ Price

Chocolate chip cookie is directly proportional to the Price

C = kP

Where k is constant of proportionality

k = Chocolate chip cookie/Price

k = C/P

Hence,

k = 3/2.49

k = 1.2048192771

k = 1.205

c. In a complete sentence, explain what k means in the context of this problem.

In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

6 0
3 years ago
How much greater is 200 than 100 and 10​
Deffense [45]

Answer:

2 & 20

Step-by-step explanation:

100 x 2= 200

20 x 10= 200

3 0
3 years ago
F. x = 7<br> G. x = -7<br> H. x = 13<br> J. x = -13
valina [46]

Answer:

F. x = 7

Step-by-step explanation:

there are 10 boxes on the right and it is equal to the side on the left, so you just subtract 10 and 3 to get 7.

4 0
3 years ago
Read 2 more answers
3 - (2x - 5) &lt; -4(x + 2)​
DIA [1.3K]

Answer:

x < -8

Step-by-step explanation:

3 - (2x - 5) < -4(x + 2)​

-2x + 8 < -4x - 8

-2x < -4x - 16

2x < -16

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Best of Luck!

7 0
3 years ago
What is 101,949 rounded to the nearest hundred thousand?
kobusy [5.1K]
Well the answer is 103,000 because when you round it the 1 becomes a 2
5 0
3 years ago
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