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aalyn [17]
3 years ago
6

5x−9y≥8 7x−4y<10 ​ Is (2,2) a solution of the system?

Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer:

(2,2) is not a solution of the system.

Step-by-step explanation:

Given : Equations 5x-9y\geq 8 and 7x-4y.

To find : Is (2,2) a solution of the system?

Solution :

To know that the given point is the solution or not we have to put the values in equation if inequality is true then the point is the solution.

Substitute (2,2) in 5x-9y\geq 8 ,

5(2)-9(2)\geq 8

10-18\geq 8

-8\geq 8

It is not true.

Substitute (2,2) in 7x-4y ,

7(2)-4(2)

14-8

6

It is true.

So, (2,2) is not a solution of the system.

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If you have one box of eggs and multiply you amount of boxes by 3, how much eggs will you have?
swat32

Answer:

You''ll have 3 boxes of eggs.

Step-by-step explanation:

1 x 3 = 3

It depends on how many eggs are in the box. If there were a dozen eggs then that would be thirty six.

I hope this helps!

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3 years ago
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Step-by-step explanation:

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The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than
svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

<em><u>Solution:</u></em>

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

<em><u>On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156</u></em>

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

<em><u>Also, given that they made $ 156</u></em>

<em><u>Therefore, we frame a equation as</u></em>:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

a \times 2+b \times 3 = 156

2a + 3b = 156 ---------- eqn 2

<em><u>Substitute eqn 1 into eqn 2</u></em>

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

<h3>b = 28</h3>

<em><u>Substitute b = 28 in eqn 1</u></em>

a = 8 + 28

<h3>a = 36</h3>

Thus the shop sold 36 sundaes and 28 banana spilts

4 0
4 years ago
Which graph represents a proportional relationship?<br> A<br> B<br> C<br> D
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Answer:

D!

Step-by-step explanation:

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6 0
3 years ago
A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist
maw [93]

Answer:

<em>The percent error of the cyclist's estimate is 5.63%</em>

Step-by-step explanation:

<u>Percentages</u>

The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.

The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:

Error = 80 miles - 75.5 miles = 4.5 miles

To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:

Error% = 4.5 / 80 * 100 = 5.625%

Rounding to the nearest hundredth:

The percent error of the cyclist's estimate is 5.63%

5 0
3 years ago
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