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poizon [28]
3 years ago
7

Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost $14 each.

The total cost of the vases came to more than $172. Also, Ben bought no more than 10 vases in all.
Which system of inequalities can be used to determine the number of glass vases, x, and the number of ceramic vases, y, that Ben could have bought?
Mathematics
2 answers:
Evgen [1.6K]3 years ago
6 0

Answer:

Step-by-step explanation:

x + y = 10

22x + 14y = 172

-22x - 22y = -220

22x + 14y = 172

-8y = - 48

y = 6 ceramic vases

x + 6 = 10

x = 4 glass vases

Pepsi [2]3 years ago
5 0

Answer:

Step-by-step explanation:

cost of glass vases x=22 $

cost of ceramic vases y=$14

22x+14y >172

or 11x+7y>86

x+y≤10

x   y          11x+7y

1   9            11+63=74

2  8            22+56=78

3  7            33+49=82

4   6           44+42=86

_________________

5   5          55+35=90

6   4          66+28=94

7   3          77+21=98

8  2          88+14=102

9  1          99+7=106

he can buy glass vases in the following combinations .

(x,y)→(5,5),(6,4),(7,3),(8,2),(9,1)

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Find the difference.<br> 19/13 - 5/13
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14/13

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Answer:

When two number cubes  are rolled,

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Ebony is building a shelf to hold the two boxes showed what is the least with she should make the shelf the boxes are 4/5 feet t
Alona [7]

Answer:

  4/5 ft

Step-by-step explanation:

Assuming both boxes need to fit completely on the shelf, Ebony should make it as wide as the largest of the boxes.

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5 0
3 years ago
3. Find mZS.<br> Q= 5x + 2)<br> P= 10x - 3)<br> (7x - 11)=ºR<br> (13x - 31)º=S<br> (8x - 19)=T
azamat

Answer:

∠S = 151

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540

Or 10x - 3 + 5x + 2 + 7x - 11  + 13x - 31 + 8x - 19 = 540

This is the equation we will use to solve for x

Step 1 combine like terms

10x = 5x + 7x + 13x + 8x = 43x

-3 + 2 - 11 - 31 - 19 = -62

We now have 540 = 43x - 62

Step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

we now have 602 = 43x

Step 3 divide each side by 43

43x / 43 = x

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we're left with x = 14

Finally we plug in 14 for x in the given expression for ∠S

∠S = 13x - 31

* substitute 14 for x *

∠S = 13 ( 14 ) - 31

∠S = 13 * 14 = 182

182 - 21 = 151

Thus, ∠S = 151

5 0
3 years ago
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