MATHEMATICS MIDDLE SCHOOL

Sum of 7 7/8 + 2 11/12

Answers

Answer 1
Answer: Solutions 

1) Add the whole numbers first ( 7 and 2 )

9+7/8+11/12

2) Find the Least Common Denominator (LCD) of 

7 / 8,11 / 12

Start by Listing Multiples

List out all multiples of each denominator, and find the first common one.

8 : 8,16,24

12 : 12,24

Therefore, the LCD is 24 

Method 2: By Prime Factors

List all prime factors of each denominator, and find the union of these primes.

8 : 2,2,2

12 : 2,2,3

Therefore, the LCD is 2×2×2×3=24

3) Make the denominators the same as the LCD

9+7×3 / 8×3+11×2 / 12×2

4) Simplify. Denominators are now the same

9+21 / 24+22 / 24

5) Join the denominators

9+21+22 / 24
6) Simplify

9+43 / 24

7) Convert 43 / 24 to mixed fraction

9+1 19 / 24

8) Simplify

10 19 / 24

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Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how you would determine the amount of money saved by using Store A instead of Store B?

Answers

We know from the question that Store A charges $1200 for repairs and 6% as sales tax.
Then
Amount of sales tax charged by Store A = (6/100) * 1200
                                                                 = 6 * 12
                                                                 = 72 dollars
Then the total amount charged by Store A = ( 1200 + 72) dollars
                                                                   = 1272 dollars
Now coming to Store B. It charges $1350 for repairs and 7% of sales tax.
Amount of sales tax charged by Store B = (7/100) * 1350
                                                                 = 945/10
                                                                 = 94.5 dollars
Then the total amount charged by Store B = ( 1350 + 94.5) dollars
                                                                     = 1444.5 dollars
Amount of money saved by choosing Store A instead of Store B = (1444.5 - 1272) dollars
                                                                                                       = 172.5 dollars
So $172.5 is saved by choosing Store A over Store B.

The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.

Select two choices: one for the center and one for the spread.

Answers

Answer:

The best measure of location or center is the median.

The best measure of spread or dispersion is the interquartile range (I.Q.R).

Step-by-step explanation:

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For any skewed data set;

The best measure of location or center is always the median. This is because the median is robust to outliers unlike the mean.

On the other hand, the best measure of spread or dispersion is the interquartile range (I.Q.R).

Answer:

B and D

Step-by-step explanation:

Which solid figures are best for construction? Explain why

Answers

A triangle is the best because it is sturdy. There is no "wiggle room" for the triangle to transform into another shape.
A square because you can use to measure in any way you want

Find the number of liters in 12.8 gal of gasoline. Round to the nearest hundredths

Answers

Answer:

48.45

Step-by-step explanation:

Is 38.5 mm bigger than 10 cm?

Answers

Well, if you use KHD---DCM, or King Henry does --- dives catching mice or, Kilometers,Hectometers,Dekameters,base,Decimeters,Centimeters, Millimeters. So you see that Millimetres are after Centimeters so, 10 cm is bigger than 35.5mm

Simplify this expression.

8.9 – 1.4x + (–6.5x) + 3.4

Answers

Answer:

-7.9x+12.3

Step-by-step explanation:

8.9 – 1.4x + (–6.5x) + 3.4

8.9-1.4x-6.5x+3.4

8.9-7.9x+3.4

-7.9x+8.9+3.4

-7.9x+12.3
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