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KIM [24]
3 years ago
13

Enter 4/5 and 1/3 as a pair of equivalent fractions with the least common denominator between the two fractions.

Mathematics
1 answer:
Reika [66]3 years ago
8 0
Least common denominator is 15, so if you write them both with the denominator 4/5 is 12/15 and 1/3 is 5/15.
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Edwin works at a fast-food restaurant. Every Tuesday, he helps unload a delivery truck. This
kramer

Answer:

Each box of buns weighs 18 pounds and each box of potatoes weighs 35 pounds

Step-by-step explanation:

Let's say each bun box weighs b pounds and each potato box weighs p pounds. For each box of buns, we add b pounds. Therefore, for 40 boxes of buns, we add 40 * b pounds. Similarly, for 35 boxes of potatoes, we add 35 * p pounds.

For Tuesday, the total weight of the buns boxes is equal to 40 * b. The total weight of the potato boxes is equal to 35 * p. Adding these two together, we get the total weight of the boxes to be equal to

40 * b + 35 * p = 1945

For Friday, we can apply similar techniques to get

60 * b + 70 * p = 3530

We therefore have the two equations

40 * b + 35 * p = 1945

60 * b + 70 * p = 3530

One way to solve this would be to convert this into a matrix and use Guass-Jordan Elimination. With the amount of bun boxes representing the first column, the amount of potato boxes representing the second, and the total weight of each day representing the third, we have

\left[\begin{array}{ccc}40&35&1945\\60&70&3530\end{array}\right]

One thing that we can do here is multiply the first row by -2 and add it to the second. That way, there would be a 0 in the 2nd column in the 2nd row, making an equation of the form

something * b = something else, enabling us to solve for b.

We thus have

\left[\begin{array}{ccc}40&35&1945\\(-40*2+60)&(-35*2+70)&(-1945*2 +3530)\end{array}\right] = \left[\begin{array}{ccc}40&35&1945\\-20&0&-360\end{array}\right]

Therefore, we can say that

-20 * b = -360

divide both sides by 20 to isolate b

b = 18

Therefore, each box of bunds weighs 18 pounds. Plugging that into an equation, we have

40 * b + 35 * p = 1945

40 * 18 + 35 * p = 1945

720 + 35 * p = 1945

subtract 720 from both sides to isolate the p and its coefficient

1225 = 35 * p

divide both sides by 35 to isolate p

p = 35

Therefore, each box of potatoes weighs 35 pounds

8 0
3 years ago
Franco freezes the vegetables he grows in the summer so he can eat them all year long. He packs the vegetables into cube-shaped
mote1985 [20]

Answer:

  3 feet

Step-by-step explanation:

If there are 6 boxes in each layer, there are 3 layers to have a total of 18 boxes, each of which is 1 cubic foot.

Three layers of boxes that are 1 ft high will be 3 ft high.

The height of the freezer space is 3 feet.

4 0
3 years ago
gal created a painting with an area of 56 square inches and a length if 7 inches. they create a second painting with an area of
qwelly [4]

Answer:

5 inches

Step-by-step explanation:

the length of painting is 56/7 = 8in. to find the length of the 2nd painting divide the area by the width: 40/8 = 5

3 0
1 year ago
What is the slope of a line parallel to (y=-3x-6)?
EleoNora [17]
Y equals 4x-2 that is my awnser
4 0
3 years ago
Dwayne misses 12% of his foul shots and Bryan misses 0.2 of his foul shots. Write 12% and 0.2 as fractions in simplest form. The
Georgia [21]

Answer:

Step-by-step explanation:

0.2*12=

2 2/5

3 0
3 years ago
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