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LenaWriter [7]
3 years ago
9

Solve the equation for t. 1/2 t +8 = 5/2 t - 10​

Mathematics
2 answers:
Elden [556K]3 years ago
4 0

Simplif 1/2t to t/2

t/2 + 8 = 5/2t - 10

Simplify 5/2t to 5t/2

t/2 + 8 = 5t/2 - 10

Multiply both sides by 2

t + 16 = 5t - 20

Subtract t from both sides

16 = 5t - 20 - t

Simplify 5t - 20 - t to 4t - 20

16 = 4t - 20

Add 20 to both sides

16 + 20 = 4t

Simplify 16 + 20 to 36

36 = 4t

Divide both sides by 4

36/4 = t

Simplify 36/4 to 9

9 = t

Switch sides

<u>t = 9</u>

andriy [413]3 years ago
4 0

Answer:

t = 9.

Step-by-step explanation:

1/2 t + 8 = 5/2 t - 10

         - 8      -5/2 t

1/2 t - 5/2 t   =   -10 - 8

-2t = -18

t = 9.

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Dawn Dough and Dale earned different amounts $9.35,$8.52,and$8.25 dale and Doug earned about $9.00 Dawn earned exactly $1.10less
Zielflug [23.3K]

We know that the amounts earned by Dawn, Doug and Dale are from the list of numbers: $9.35, $8.52 and $8.25

We also know that Dale and Doug earned close to $9.00

And that Dawn earned $1.10 less than Dale

Let the amount earned by Dale be x

⇒ Amount earned by Dawn is x - 1.1

If we notice the list of numbers, we see that $9.35 and $8.25 differ by $1.1

Hence, Dale earned $9.35 and Dawn earned $8.25

We are now left with $8.52, which should be the amount earned by Doug. This is correct, since we also know that Doug earned close to $9.

Hence, the amounts earned are:

Dale: $9.35

Doug: $8.52

Dawn: $8.25

8 0
3 years ago
A rectangle has an are of 36in squared. write an equation to show how length varies inversely the width. what is the equation li
Tju [1.3M]
L*W= 36
Rewrite to get:
l = 36 / w or w = 36 / l
Either one show =s the inverse relationship between w and l
Equation for x and y graph:
y = 36 / x


5 0
3 years ago
Help meeee I will give brainliest
Iteru [2.4K]
4.8, I hope this helps you, I answered this earlier. :)
4 0
3 years ago
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You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you
attashe74 [19]
The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar. 
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.

1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12

Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12

Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1  ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24
8 0
3 years ago
Answers for these? Having trouble getting the concept so a step by step would be awesome.
jolli1 [7]

Answer: 2222

Step-by-step explanation: 2000+200+20+2 = 2222

6 0
3 years ago
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