Answer:
Step-by-step explanation:
Here are the steps to follow when solving absolute value inequalities:
Isolate the absolute value expression on the left side of the inequality.
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:
(quantity inside absolute value) < -(number on other side)
OR
(quantity inside absolute value) > (number on other side)
The same setup is used for a ³ sign.
If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:
-(number on other side) < (quantity inside absolute value) < (number on other side)
The same setup is used for a £ sign
10 windows : divide 40/5=8
Then divide 80/8 =10
Answer:
Apple juice contains 1728 g sugar whereas soda contains 1404 g sugar
Step-by-step explanation:
Answer: Choice A. (8, 4)
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Explanation:
Because x = 2y, we can replace every copy of x with 2y
Let's do so in the second equation
3x - 4y = 8
3(x) - 4y = 8
3(2y) - 4y = 8 .... x replaced with 2y; now let's isolate y
6y - 4y = 8
2y = 8
y = 8/2 ..... divide both sides by 2
y = 4
Use this y value to find x
x = 2y
x = 2*4
x = 8
So we have x = 8 and y = 4 pair together to get the answer (x,y) = (8, 4) which is choice A.
<h3>
Answer: $59.25</h3>
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Explanation:
There are two approaches
Method 1
25% of 79 = 0.25*79 = 19.75
Mary saves $19.75 and the price before tax is 79 - 19.75 = 59.25
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Method 2
She saves 25% so she must pay the remaining 75%
75% of 79 = 0.75*79 = 59.25
This is a slight shortcut, and it's very useful when it comes to chaining multiple discounts together.
