Gary divides 48.026 by 6.49 using the work shown. Is Gary correct or incorrect? Explain your answer in full sentences.

Mathematics

1 answer:

Likurg_2 [28]3 years ago

3 0

Answer:

Here, we are required to judge judge Gary's calculation as portrayed in the question above.

Gary's calculation is correct according to the calculation.

Step-by-step explanation:

The question asks that 48.026 is divided by 6.49.

By first considering the whole numbers on the left hand side of the decimal point in each number,

We can conclude that 48 divided by 6 equals 8, i.e 48/6=8.

However, the calculation becomes much easier by shifting the decimal points in both numbers two spaces to the right as indicated in the diagram (i.e multiply both numbers by 100).

This leaves us with 4802.6 to be divided by 649.

Dividing 4802.6 by 649 yields 7 with a remainder of 259.6 (this is so because 7 × 649 = 4543).

259.6 can have it's decimal point shifted one space right to yield 2596.

And, 2596/649 = 4.

The condition above is hypothetical, and there's a need for the decimal point to be shifted one space back to the left, which leaves us with 0.4.

Ultimately, 48.026/6.49 = 7.4.

Therefore, Gary's calculation is correct using the work shown in the question above.

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How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?

tatuchka [14]

So let’s simplify the given situation.
We need to find out how much heavier is 91/8 lbs. compare to 2 5/6 lbs.
Since, it’s a combination of whole number and fraction; we cannot directly subtract this given equation. We need to convert the two given number into a fraction.
9 1/8 = 8 x 9 = 72 + 1 = 73, 73 is our numerator and 8 is our denominator
=> 73/8
2 5/6 = 6 x 2 = 12 + 5 = 17, 17 is our numerator and 6 is our denominator
=> 17/6

Now, we have 2 fractions with unlike denominator. In order to get a common denominator, we have to find their least common factor.

=> 73 - 17 = 73 x 6 - 17 x 8 
 8 6 8 x 6 6 x 8
=> 438 – 136 Now, we have the same denominator, subtract
 48 48
=> 302 or 151
 48 24
=> 6 7
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Therefore 9 1/8 lbs. is 6 7/24 lbs. heavier than 2 5/6 lbs.

4 0

3 years ago

Sam is buying a pair of water skis that are on sale for 2/3 of the original price. After he uses a $25 gift certificate the tota

Alexus [3.1K]

Answer:

$210

Step-by-step explanation:

The first thing we can do is to add the $25 back on to the total cost.

25 + 115 = 140.

We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.

Now, to find the original price we can use this equation:

$\frac{2}{3} x = 140$