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kozerog [31]
3 years ago
8

What's the solution set of –5 < 2x – 1 < 3?

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

The answer is - 2 < x < 2

Step-by-step explanation:

–5 < 2x – 1 < 3

Add 1 to both sides to eliminate - 1

That's

- 5 + 1 < 2x - 1 + 1 < 3+ 1

- 4 < 2x < 4

Divide both sides by 2

That's

- 4/2 < 2x/2 < 4/2

The final answer is

<h3 /><h3>- 2 < x < 2</h3>

Hope this helps you

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5 8 of 48 is equal to 8 15 of some number. What is this number?
N76 [4]

Answer:

16

Step-by-step explanation:

5/8 of 48 = 30

8/15 x 30 = 16

8 0
3 years ago
ABC has the points A(1,7) B(-2,2) and C(4,2) as it’s vertices
tekilochka [14]

<u>Part 1</u>

Using the distance formula,

AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}

So, the measure of the longest side is 6 units.

<u>Part 2</u>

Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).

We already know that AB=\sqrt{34}

Using the distance formula,

AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3

So, ABD is a scalene triangle.

<u>Part 3</u>

From part 2, we know that the length of side AD is 5 units.

6 0
2 years ago
8,487 divided by 8 I need help !
ohaa [14]
Answer 1,060 remainder 7
8 0
3 years ago
Suppose that engineering specifications on the shelf depth of a certain slug to be turned on a CNC lathe are from .0275 in. to .
MrRa [10]

Answer:

0.8188 or 82%

0.0000643

Step-by-step explanation:

Given that engineering specifications on the shelf depth of a certain slug to be turned on a CNC lathe are from .0275 in. to .0278 in.

If x is the dimension then X is N(0.0276, 0.0001)

Or \frac{x-0.0276}{0.0001} is Normal (0,1)

a) Fraction  of shelf depths are in specifications

=P(0.0275

b) For 98% to be within the specifications,

\mu = 0.02765

Margin of error = 0.0278-0.02775\\=0.00015

For 98% critical value Z two tailed is 2.33

Hence std error = \frac{0.00015}{2.33} \\=0.0000643

So sigma should be = 0.0000643

3 0
3 years ago
The price of an item has been reduced by 85%. The original price was $77.
irina1246 [14]
Multiply the original price by the decimal form of the percent and subtract that from the original price.
77*0.85=65.45
77-65.45=11.55
Answer: New price is $11.55
5 0
4 years ago
Read 2 more answers
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