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lbvjy [14]
1 year ago
8

Which is the following points is NOT a solution to the inequality y > - x + 3? —a. ( -2,6)b. (5,-1)c. (2,0)d. (0,3)

Mathematics
1 answer:
CaHeK987 [17]1 year ago
3 0

Given -

y > - x + 3

To Find -

The points which is NOT a solution to the inequality

Step-by-Step Explanation -

We will put the value of each in inequality and then see if it satisfies the given condition or not.

a. ( -2,6)

So, x = -2 and y = 6 in y > - x + 3

= 6 > - (-2) + 3

= 6 > 5 (Correct Solution)

b. (5,-1)

So, x = 5 and y = -1 in y > - x + 3

= -1 > -5 + 3

= -1 > -2 (Correct Solution)

c. (2,0)

So, x = 2 and y = 0 in y > - x + 3

= 0 > -2 + 3

= 0 > 1 (Incorrect Solution)

d. (0,3)

So, x = 0 and y = 3 in y > - x + 3

= 3 > -0 + 3

= 3 > 3 (Incorrect Solution)

Final Answer -

The points which is NOT a solution to the inequality =

c. (2,0)

d. (0,3)

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3 years ago
Kasey and Jordan are counting calories while eating lunch in the school cafeteria. In one week, Kasey had
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Answer:

Jordan got 222 calories from pizza

Step-by-step explanation:

Given:

slices of pizza ate by Kasey =10

cups of fruit salad by Kasey=  5

slices of pizza ate by Jordan = 6

cups of fruit salad by Jordan=  7

Kasey's calorie  count = 3070

Jordan calorie  count = 2522

To Find:

calories Jordan got from pizza =?

Solution:

Let the calorie of one slice of pizza be  x

and the  calorie of one cup of fruit salad be  y

According to the question, the equation that represents the Kasey's Scenario is

10x + 5y = 3070-------------------------------------(1)

Similarly the equation that represents the Jordan Scenario is

6x + 7y = 2522--------------------------------------(2)

multiply eq(1) by 6 we get

60x + 30y = 18420---------------------------------(3)

multiply eq(2) by 10 we get,

60x + 70y = 25220----------------------------------(4)

Subtracting eq (3) from (4) we get

  60x + 70y = 25220

  60x + 30y = 18420

  (-)        (-)        (-)

-----------------------------------

 0x + 40y = 6800

---------------------------------

=>40 y = 6800

=>y = \frac{6800}{40}

=> y = 170

So calorie of one cup fruit salad is = 170 calories

substituting the y values in eq 1 we get

10x + 5(170) = 3070

10x + 850 = 3070

10x = 3070 - 850

10x = 2220

x = \frac{2220}{10}

x= 222

So calorie of one pizza slice = 222 calories

Now we know that  Jordan ate 6 slices of pizza

calories  Jordan get from pizza = number of pizza he ate  X calore per pizza slice

=> 6 x 222

=>1332 calories

6 0
3 years ago
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