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MA_775_DIABLO [31]
3 years ago
6

Which of the following inequalities are correct?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

A and B

Step-by-step explanation:

- 3/5 is less than -1/5 because it is farther away from 0 on a number line (also, when it comes to figure out which inequality is true with negative number, the smaller one is going to be greater because it is closer to 0 on a number line)

3/5 is greater than 1/5 because they are both positive and 3/5 is the bigger number

-1/5 is not less than -3/5 because if A is true, than this cannot be true because it is saying the exact opposite.

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4. The students in Mr. Michael’s art class are decorating a booth for Harvest Day. They have blue cloth that is 60 inches long,
MrRissso [65]

Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.

<u>a.</u>  

As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>

First we will factor out all three numbers completely......

60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3

The common factors are: 2, 2 and 3

Thus the GCF = 2*2*3=12

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

<u>b. </u>  

For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...

Number of pieces for blue cloth =\frac{60}{12}=5

Number of pieces for gold cloth =\frac{48}{12}=4 and

Number of pieces for white cloth =\frac{72}{12}=6

4 0
3 years ago
Find the domain and range of the exponential function h(x) = 125 x
NARA [144]
Domain is all real numbers.
Range is all real numbers geater than 0
8 0
4 years ago
A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip.
alisha [4.7K]
To find this answer, we should subtract 2 1/2 from 3 1/4. The simplest way to do this is to turn them into improper fractions, found the least common denominator, and subtract the numerators.

3 1/4=13/4
2 1/2=5/2

The least common multiple is 4, so we should multiply the numerator and denominator of 5/2 by 2.

5/2=10/4

Now we can just subtract the numerators.

13/4-10/4=3/4

Using the math above, we can see that it saves D. 3/4 hours.


3 0
3 years ago
Read 2 more answers
What is the domain in interval notation?
Sonbull [250]

Answer:

The answers are all real numbers where x<2 or x>2. We can use a symbol known as the union, ∪,to combine the two sets. In interval notation, we write the solution:(−∞,2)∪(2,∞). In interval form, the domain of f is (−∞,2)∪(2,∞).

8 0
3 years ago
Given that J is between H and K. If JK=3x-1, HJ=2x+4, and HK=12, find x and JK.
cricket20 [7]

Answer:

X=7

Step-by-step explanation:

HJ + JK = HK

3(X + 2) +(3X - 4) = 44

3X + 6 + 3X - 4 = 44

6X + 2 = 44

6X = 42

X = 7

5 0
4 years ago
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