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Lady bird [3.3K]
2 years ago
5

25 POINTS for this question. Find all the integer solutions to each system of the inequalities:

Mathematics
2 answers:
goblinko [34]2 years ago
7 0

Answer:

The integer solutions are  4,5,6 and 7.

Step-by-step explanation:

12a - 37 > 0

12a > 37

a > 37/12

a > 3 .083.

6a ≤ 42

a ≤ 7.

sineoko [7]2 years ago
5 0

Answer:

Step-by-step explanation:

12a-37 > 0  ...(1)

6a ≤ 42....(2)

by (1) : a ≤ 7   but  a  is the integer number so : a =1  ; a =2 : a =3  : a=4 ; a = 5

 a = 6 and a = 7

1) cas : a = 1   by (2) : 12(1) -37 > 0   -25 > 0 ...... false

2) cas : a = 2   by (2) : 12(2) -37 > 0   -13 > 0 ...... false

3) cas : a = 3   by (2) : 12(3) -37 > 0   -1 > 0 ...... false

4) cas : a = 4   by (2) : 12(4) -37 > 0   11 > 0 ...... true

5) cas : a = 5   by (2) : 12(5) -37 > 0  23> 0 ...... true

6) cas : a =6   by (2) : 12(6) -37 > 0   35 > 0 ...... true

7) cas : a = 7  by (2) : 12(7) -37 > 0   47 > 0 ...... true

all the integer solutions to each system of the inequalities: 4 ; 5; 6: 7 .

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Alex bought a new easy chair for $399. She bought it on the '12 months is the same as cash' plan. The contract stated that if no
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Answer:

$ 454.86 : $33.25

Step-by-step explanation:

1.

Alex bought the new easy chair for $ 399 .

If she pays the amount in 13th month. So,  she has to pay the interest of 1 month too , which is, = $ \frac {399 \times 14}{100}

                                    =  $ 55.86

So, total amount she has to pay for the chair,

                       = (cost price of the chair + interest)

                       = $ (399 + 55.86)

                       = $ 454.86  (answer)

2.    

If she wants to pay the amount within the 12 months, so that she doesn't have to pay the interest,  her budget for that for each month will be ,

                               $ \frac {399}{12}

                               = $ 33. 25  (answer)

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2 years ago
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The correct answer is 4 over 5

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Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

  • If the price of an item is discounted, that mean its new price will be less its initial price
  • The taxes on item, makes its new price greater than the initial price because tax is add

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y (\frac{88}{100})

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = \frac{106}{100} × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

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2 years ago
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luda_lava [24]

Answer:

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Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width

From the question

length of a rectangular picture is 5 inches more than three times the width is written as

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Now substitute this into the above equation

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Hope this helps you

4 0
2 years ago
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