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hammer [34]
2 years ago
12

Solve the following inequality algebraically. ∣x−5∣≤11

Mathematics
1 answer:
Igoryamba2 years ago
4 0

Answer:

-6\leq x\leq 16

Step-by-step explanation:

So we have the inequality:

|x-5|\leq 11

Definition of Absolute Value:

x-5\leq 11\text{ or } x-5\geq -11

Note that the sign is flipped in the second case because we multiplied by a negative.

Add 5 to both sides to both equations:

x\leq 16\text{ or } x\geq -6

Merge:

-6\leq x\leq 16

And we're done!

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max2010maxim [7]

Answer:

2

Step-by-step explanation:

The given angle is 45 degrees so the triangle has the same legs.

we can find the hypotenuse by using the Pythagorean theorem

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8 0
3 years ago
Someone please help me
lawyer [7]
Part a: subtract 48-30=18
Part b: i found it by subtracting 48 -30 because it says left over

3 0
3 years ago
How many times does 50 go into 85
vitfil [10]
If you would like to know how many times does 50 go into 85, you can calculate this using the following steps:

85 / 50 = 17 / 10 = 1.7

The correct result would be 1.7.
6 0
3 years ago
Read 2 more answers
If the total cost plus shipping is greater than $35,then you receive a 10% discount off the original selling price. Do you quali
RUDIKE [14]

<u>It's not clear what is the specific requirement of the question, but I'll assume a couple of situations to help you with your real problem.</u>

Answer:

$45 (qualified)

$30 (did not qualify)

Step-by-step explanation:

<u>Percentage Calculations</u>

Relative quantities are usually expressed as percentages (%). We say x percent of y is the proportion xy/100. When discounts or surcharges are applied, they are subtracted or added to the original quantity.

The question explains I receive a 10% discount off the original selling price if the total cost plus shipping is greater than $35. Let's assume the total cost plus shipping is $50. Since it's greater than $35, it qualifies for a discount. The discount is 10% of $50 = (10)(50)/100= $5. So the new total cost will be $50 - $5 = $45

Let's suppose now the total cost+shipping is $30. Since it's not greater than $35, no discount will be applied and we have to pay $30

7 0
3 years ago
If AB=5 and BC =10 is it possible that AC=4
son4ous [18]
Yes depending on if ur talking about a triangle of not
8 0
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