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ipn [44]
2 years ago
9

Kasey and Jordan are counting calories while eating lunch in the school cafeteria. in one week, Kasey had 10 slices of pizza and

5 cups of fruit salad. Jordan had 6 slices of pizza and 7 cups of fruit salad. Kasey’s calorie count was 3070 and Jordan’s was 2522. How many calories are in a slice of pizza?
Mathematics
2 answers:
svetoff [14.1K]2 years ago
8 0

Answer:

222 calories from the pizza

Step-by-step explanation:

nandhini123-

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 =

=> 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 =

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

Brainliset plz

Galina-37 [17]2 years ago
4 0

Answer:

483 calories are in each slice

Step-by-step explanation:

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Ratio is 4:7, smaller volume is 1, 331, find larger volume
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If the smaller volume ratio is 4 to 1331, divide 1331 by 4 to get the multiplying factor.
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I hope this helps!
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3 years ago
A televison that coast $360 was amrked up by 30% . what is the selling price?
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Step-by-step explanation:

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Read 2 more answers
A poll shows that 41% of voters in a city favor of a $0.0.1 tax increase. If 25 voters are selected at random, what is that exac
juin [17]

Answer:

The probability is 0.026 to 3 d.p

Step-by-step explanation:

To calculate this , we shall be using the Bernoulli approximation.

let P = percentage of voters supporting the increase = 41% = 41/100 = 0.41

q = percentage of voters not supporting = 100-41% = 59% = 59/100 = 0.59

Now we want to calculate that exactly 15 out of 25 will vote in favor

Mathematically that would be ;

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= 25C15 0.41^15 0.59^10

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5 0
3 years ago
If the slope of GH is −4/5 and the slope of HJ is 3/4, find the slope of JK so that GHJK is a parallelogram. quick answer pls
sp2606 [1]

Answer:

Slope of JK = -4/5

Step-by-step explanation:

We know that GHJK is a parallelogram. If GHJK is a parallelogram then the sides of parallelogram will be:

GH, HJ, JK, GK

Hence the opposite sides will be:

GH and JK

HJ and GK

We know that opposite sides of parallelogram are parallel to each other and the slopes of parallel lines is equal.

So the slope of GH and JK will be equal.

And slopes of HJ and GK will be equal.

As we are given the slope of GH which is -4/5, the slope of JK will also be -4/5 because both lines are parallel.

6 0
3 years ago
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