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algol [13]
4 years ago
14

Find the solution set for the following problem. 5 diminished by 3 times a number is at most 11.

Mathematics
1 answer:
leva [86]4 years ago
4 0
For this case, the first thing we are going to do is define the following variable:
 x = unknown number
 We now write the following inequality:
 5-3x <= 11
 We clear x:
 5-11 <= 3x
 -6 <= 3x
 -6/3 <= x
 -2 <= x
 The solution set is:
 [-2, inf)
 Answer:
 
the solution set is:
 
[-2, inf)
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Simplify the expression. -5/8(-3/8-1/4) ​
prisoha [69]

Answer:

25/64

Step-by-step explanation:

To get this answer, first you need to use the distributive property:

(-3/8)(-5/8) - (1/4)(-5/8)

Next, multiply:

15/64 - (-5/32)

Change the negative signs into a positive sign:

15/64 + 5/32

Multiply 5/32 by 2 on both top and bottom:

15/64 + (5)(2)/(32)(2)

You will then get:

15/64 + 10/64

Now, add the numerators. You will get:

25/64

This is your answer. I hope it helped!

5 0
3 years ago
(SHOW WORK THANK YOU) A Machine fills 150 bottles of water every 8 minutes.
inn [45]

Answer:

A. 84

B. 90

C. 360

Step-by-step explanation:

675/8 = 84

12 hours= 720 minutes

90

90 times 4 = 360

3 0
3 years ago
Read 2 more answers
Use the image to complete the equation below
s2008m [1.1K]

Given:

A figure in which a transversal line intersect the two parallel lines.

To find:

The missing value for the equation m\angle \_+m\angle BPD=180^\circ

Solution:

In the given figure, the two parallel lines are line ED and line AB, and CD is the transversal line.

Angle BPC and angle BPD lie on a straight line CD. So,

m\angle BPC+m\angle BPD=180^\circ          (Supplementary angles)

Angle APD and angle BPD lie on a straight line AB. So,

m\angle APD+m\angle BPD=180^\circ          (Supplementary angles)

Therefore, the required complete equations are m\angle BPC+m\angle BPD=180^\circ and m\angle APD+m\angle BPD=180^\circ.

6 0
3 years ago
I NEED HELP!
ASHA 777 [7]
Can’t see it that far
8 0
3 years ago
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Rachel bought 6 1/4 pounds of dried fruit. If 1/3 of the fruit was dried apricots, how many pounds of dried apricots did she buy
kati45 [8]
You need to multiply 1/3 by 6 1/4 lb.
Change 6 1/4 into a fraction.

1/3 * 6 1/4 = 1/3 * 25/4 = 25/12 = 2 1/12

Answer: 2 1/12 lb
7 0
3 years ago
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