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Yakvenalex [24]
3 years ago
7

Solve for inequality 7(x-2)<-5

Mathematics
2 answers:
aniked [119]3 years ago
3 0
Hello!

To solve the inequality, you'll need to multiply 7 with x and -2. Once you've done that you'll be one step closer to solving.

7x-14<-5

Next, you'll need to add 14 to -5. Once you have that done, -5 should now be 9.

7x<9

Now you need to divide both sides by 7. Once you've done that you'll have an inequality of...

x< 9/7

I hope this helps!
topjm [15]3 years ago
3 0
&#10;7(x-2)\ \textless \ -5\\&#10;7x-14\ \textless \ -5\\&#10;7x\ \textless \ 9\\&#10;x\ \textless \ \dfrac{9}{7}&#10;
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The value of a bank account, y, increases by 5% each year, x. If the initial value of the account is $800, which equation repres
Mashcka [7]

Answer:

Equation to represent the situation = 800=Y(1.05)^X

Step-by-step explanation:

Given:

Initial investment = Y

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Equation to represent the situation:

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Equation to represent the situation = 800=Y(1.05)^X

6 0
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Explain your answer!! <br><br> Will give brainlst
Novosadov [1.4K]
• So we know that.....

x represent bags of snack and y is bottles of water.


This equations shows the total amount and the cost of each water bottle and snack:

20.00 = 2.50x + 1.00y

Total: $20.00
Snack: $2.50
Water Bottle: $1.00


And this question shows the total items:

11 = x + y

Which there will be some snack + some water bottle = 11 items


—————————————————————

• Now I’m going to first solve for x, which is the amount of bags of snack.

I will use the equation, 11 = x + y.

(First, we’ll subtract y from both side, since we’re solving for x [UNDO])

11 = x + y
-y = - y
_______
11 - y = x —> so x is equal to 11 minus y.


—————————————————————

• Now we’re going to plug the 11 - y as x in the equation: 20.00 = 2.50x + 1.00y to solve for y.

20.00 = 2.50 (11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y (Distributed)

20.00 = 27.5 - 1.50y (Combine like terms)

20.00 = 27.5 - 1.50y
-27.5 = -27.5 (Subtract -27.5 both side)
——————————
-7.5 = - 1.50y


-7.5 = -1.50y
—— ——— (Divide both side by -1.50)
- 1.50 = -1.50

5 = y

y is equals to 5, which means that there are 5 water bottles.


Now we know there are 11 items total and because there are 5 water bottles, there will be 6 bags of snacks. 11-5=6

—————————————————————

ANSWER:

They bought 6 bags of snacks! :)
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