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Bad White [126]
3 years ago
15

The sum of a number times 6 and 21 is at least 24. what's the inequality

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

x ≥ 1/2

Step-by-step explanation:

6x + 21 ≥ 24

6x ≥ 3

x ≥ 1/2

check: (1/2 x 6) + 21 = 24

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Which ordered pair is a solution of the equation? y=8x+3y=8x+3
Mrac [35]

Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:  

8x-20y = -24

8x +3y = 68

------------

0 -23y = -92  

Now divide both sides by -23:  

y = 4  

Find x by plugging y=4 into either equation:  

8x +3(4) = 68

8x = 68 - 12

8x = 56

x = 7  

So the answer is ordered pair is (7,4)

3 0
3 years ago
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To finance her education, Sarah takes out a loan for $4000. After a year Sarah decides to pay off the interest which is 4% of $4
mel-nik [20]
Hope this makes more sense it’s all in the photo! ❤️

7 0
4 years ago
4(5a-2b)-2(4a-5b)<br><br><br> Expand the brackets and simplify the question
Nutka1998 [239]

Answer:

12a+2b

Step-by-step explanation:

1. Expand by distributing terms.

20a-8b-2(4a-5b)20a−8b−2(4a−5b)

2. Expand by distributing terms.

20a-8b-(8a-10b)20a−8b−(8a−10b)

 3. Remove parentheses.

20a-8b-8a+10b20a−8b−8a+10b

4.Collect like terms.

(20a-8a)+(-8b+10b)(20a−8a)+(−8b+10b)

5. Simplify.

12a+2b12a+2b

6.Answer

12a+2b

6 0
3 years ago
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Lynne bought a bag of grapefruit, 1 5_ 8 pounds of apples, and 2 __3 16 pounds of bananas. The total weight of her purchases was
solmaris [256]

Answer:

3 11/16 pounds

Step-by-step explanation:

Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?'

The Total weight = Weight of grape fruits + Weight of Apples + Weight of Bananas

Let the weight of the grape fruit = x

7 1/2 = x + 1 5/8 + 2 3/16

x = 7 1/2 - (1 5/8 + 2 3/16)

Lowest Common Denominator = 16

x= 7 1/2 - 3 + ( 10+ 3/16)

x = 7 1/2 - 3 + (13/16)

x = 7 1/2 - 3 13/16

Lowest Common Denominator = 16

x= 4 (8 - 13/16)

x = 4 (-5/16)

x = 3 11/16 pounds

Therefore, the bag of grapefruits weighed 3 11/16 pounds

3 0
3 years ago
Cheryl is moving to a new house. Her old house is 3 km from her new house. How many
ANTONII [103]

Answer:

3,000 meters

Step-by-step explanation:

recall that 1 kilometer = 1,000 meters

hence  

3 kilometers = 1,000 meters x 3 = 3,000 meters

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3 years ago
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