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34kurt
3 years ago
9

Solve for w. Give an exact answer in simplified form. 53w+13 < 56w + 16

Mathematics
1 answer:
zepelin [54]3 years ago
4 0

Answer:

w > -1

Step-by-step explanation:

53w + 13 < 56w + 16

Get w to one side.

Subtract 53w from both sides.

13 < 3w + 16

Get 3w by itself.

Subtract 16 from both sides.

-3 < 3w

Divide both sides by 3 to solve for w.

-1 < w

or

w > -1

I hope this helps!

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5/8(x-1/3)=5/12 can someone help me figure out what x is?
eimsori [14]
Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer:  x = 1
3 0
3 years ago
One number is six times as large as a certain smaller number. Let x represent the smaller number. Write the larger number in ter
Svetach [21]

One number is six times as large as a certain smaller number.

i.e., Y  = 6x

Answer is 6x

3 0
4 years ago
Help me with this problem I will give brainliest
Inga [223]

Answer:

x=3

Step-by-step explanation:

7 0
3 years ago
Fred walked 20 miles in 8 days. If he continues walking at this rate, how many miles will he walk in 4 weeks? Be sure to set up
mamaluj [8]

Answer:

70

Step-by-step explanation:

First, to find the constant rate divided 20 miles by 8 days.

20 ÷ 8 = 2.5

Then, we know that in one week there are seven days so we multiply 2.5 x 7

2.5 x 7 = 17.5

Lastly, multiply 17.5 times 4

17.5 x 4 = 70

MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!

8 0
2 years ago
What is 70 X 12 1/2?
gulaghasi [49]

Answer:

70 x 12 1/2 = 875.

Step-by-step explanation:

Step 1.) When you multiply fractions, you put whole numbers over one.

Step 2.) Then, you change whole numbers with fractions, to improper fractions.

Step 1.)

70/1 x 12 1/2

Step 2.)

70/1 x 25 / 2.

And then we solve!

70 x 25 = 1750

1 x 2 = 2.

1750 divided by 2 = 875.

Hope this helps!!

*This is the Right Way of doing these problems*

4 0
3 years ago
Read 2 more answers
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