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sweet-ann [11.9K]
3 years ago
9

Simplify: 2 11/12 + 5 1/2 + 3 3/8 Write you answer as a mixed number.

Mathematics
1 answer:
zysi [14]3 years ago
3 0

Answer:

2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8} (write them out and convert them all into mixed fractions)

\frac{35}{12} + \frac{11}{2} + \frac{27}{8} (find the LCD aka least common denominator)

\frac{70}{24} + \frac{132}{24}  + \frac{81}{24} (add all numerators together)

\frac{283}{24}  (this is improper, so you need to convert back to mixed by dividing)

11\frac{19}{24} (this is your answer)

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Then, you would set up the proportion 8/52.
Simplify this proportion, which equals 2/13.

There is a 2 in 13 chance to draw a card that is a king or a queen from the deck.
8 0
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Write 20% as a decimal.
miskamm [114]
0.2 would be 20% written as a decimal.
7 0
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Read 2 more answers
Monica and Lauren know that they will need a lot of money in order to make the purchases necessary for a successful bakery. They
xxTIMURxx [149]

Based on the model, the total amount of money in the joined account after the 5 weeks is $767.30

<h3>What are linear equations</h3>

Linear equations are equations that have constant rates

A linear equation is represented as:

y = mx+ b

In this case,

  • m represents the deposit per week
  • b represents the initial deposit

So, the linear equations are:

  • y =153.46x --- for Monica
  • y = 128.90+ 127.68x -- For Lauren

To calculate the number of weeks, when they have the same amount, we equate both equations

153.46x = 128.90 + 127.68x

Collect like terms

153.46x -127.68x= 128.90

25.78x= 128.90

Solve for x

x= 5

Substitute 5 for x in

y = 153.46x

y = 153.46 * 5

y = 767.30

Hence, it will take 5 weeks for both accounts to have the same amount of $767.30

Read more about linear equations at:

brainly.com/question/14323743

4 0
2 years ago
Victoria earns $255 by working 20 hours each week
Alborosie
She would make $98.50 in 10 hours.

Explanation :
255/20 = 12.75
12.75 - 2.90 = 9.85
9.85 x 10 = 98.50
6 0
3 years ago
Which statement is true? A. 2x – 1 = 13 and x = 6 B. 2x – 1 = 13 and x = 7 C. 2x + 1 = 13 and x = 7 D. 2x – 1 = 13 and x = 11
alexandr1967 [171]

Answer:

B. 2x – 1 = 13 and x = 7

Step-by-step explanation:

We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.

Option A.

2x -1 = 13 and x = 6

Using this value in the equation, we get:

2(6) -1 = 13

12 - 1 = 13

11 = 13, which is not true. Hence this option is not valid

Option B.

2x - 1 = 13 and x = 7

Using the value in the equation, we get:

2(7) - 1 =13

14 - 1 =13

13 = 13, which is true. Hence this option is valid.

Option C.

2x + 1 =13 and x = 7

Using the value in the equation, we get:

2(7) + 1 = 13

15 = 13, which is not true. So this option is not valid

Option D.

2x - 1 = 13 and x = 11

Using this value in the equation, we get:

2(11) - 1 = 13

21 = 13, which is not true. Hence this option is not valid.

6 0
3 years ago
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