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SashulF [63]
3 years ago
9

-4 < y + 2 < -2 solve for the inequality

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

-6<y<-4

Step-by-step explanation:

-4<y+2<-2

-4-2<y+2-2<-2-2

-6<y<-4

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A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season pass costs $400. The skier
Vlad [161]
Let x be the number of days.

Daily pass:
65x + 30x
95x

Season pass:
400 + 30x

95x > 400 + 30x
65x > 400
x > 6.15

The number of days can't be 6.15, so you must round. You can't go down because then the price will be more expensive, so you have to round up.

It would take 7 days until the season pass is less expensive than the daily pass.
----------------------
You can check this by plugging in the x.

95x > 400 + 30x
95(7) > 400 + 30(7)
665 > 400 + 210
665 > 600
The daily pass is more expensive than the season pass.
3 0
3 years ago
Is it possible for two numbers to have a difference of 8 and a sum of 1?
topjm [15]

Answer: yes , it is possible

Step-by-step explanation:

Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.

Combining the two , we have :

x + y = 1 ............................... equation 1

x - y = 8 ................................. equation 2

solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,

x = 1 - y ...................... equation 3

Substitute equation 3 into equation 2 ,

1 - y - y = 8

1 - 2y = 8

add 2y to both sides

1 = 8 + 2y

subtract 8 from both sides

1 - 8 = 2y

- 7 = 2y

divide through by 2

y = \frac{-7}{2}

y = - 3.5

substitute y = -3.5 into equation 3 to find the value of x , we have

x = 1 - y

x = 1 - ( - 3.5 )

x = 1 + 3.5

x = 4.5

Let us check :

x + y will be

4.5 + (-3.5) = 1

Also ,

x - y will be

4.5 - (-3.5)

⇒ 4.5 + 3.5 = 8

7 0
3 years ago
If parker uses online banking and average 20 transactions a month, which bank should he choose
taurus [48]
Each month that will give them 20$ for
7 0
3 years ago
How do you determine if a given set of measurements works for the side lengths of a triangle? (It should be a number)
zaharov [31]
Add them all up and if they add up to 180 then your side lengths are good
5 0
4 years ago
If the sales tax in Maple Town is 9.5%, how much would an ice cream of $4.25 cost with the tax added? Please explain.
faltersainse [42]
To find the sales tax, you need to find 9.5% of 4.25

4.25*.095 = <span>.40375

Now we need to add the sales tax to the price.

4.25 + </span>.40375 = <span>4.65375
Because dollars one have 2 decimal points we should round this to 4.65

Hope this helped!
</span>
5 0
3 years ago
Read 2 more answers
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