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prohojiy [21]
4 years ago
13

Lincoln rode his bike 16 miles in 104 minutes. If he rode at a constant speed how far did he ride in 10 minutes

Mathematics
1 answer:
Olegator [25]4 years ago
3 0

Use cross multiplication to solve:

\frac{104}{10} =\frac{16}{x}\\ \\10*16=160\\104x=160\\\\x=160/104\\x=\frac{20}{13}

So, he rode \frac{20}{13} miles in 10 minutes (approximately 1.54mi).

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A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5
Sunny_sXe [5.5K]

Answer:

\frac{27}{8}m^3 or 3.375m^3

Step-by-step explanation:

The formula for volume is Base * Height * Width; and the formula for area is Base * Height.

This problem mentions the structure is a cube and therefore it is assumed that every wall has the same area. Since there are 6 sides to a cube you divide the total amount of ft which make up this cube to know the area to each wall.

13.5 m/6 = 2.25 or \frac{9}{4} m per wall

With the area of each wall you can find the base and height:

base * height =  area

b=\sqrt{\frac{9}{4} } = \frac{3}{2}

base = \frac{3}{2}m

height = \frac{3}{2}m

since: base=height=width, the width also equals \frac{3}{2}m

volume = (\frac{3}{2})^3= \frac{27}{8}

sorry it took so long for you to get an answer

8 0
4 years ago
Rewrite the function in standard form <br> f(x) = 2( x - 2 )( x + 5 )
salantis [7]

Answer:

f=2x^2+6x-20/x

Step-by-step explanation:Divide both sides by x

fx/x=2x^2+6x-20/x

f=2x^2+6x-20/x

3 0
4 years ago
What are any 9 perfect squares to type in the boxes?
Paul [167]

Answer:

1

4

9

16

25

36

49

64

81

100

Step-by-step explanation:

1 = 1²

4 = 2 x 2 = 2²

9 = 3 x 3 = 3²

16 = 4 x 4 = 4²

25 = 5 x 5 = 5²

36 = 6 x 6 = 6²

49 = 7 x 7 = 7²

64 = 8 x 8 = 8²

81 = 9 x 9 = 9²

100 = 10 x 10 = 10²

4 0
3 years ago
Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of juice to mags. How much is left in luna
Debora [2.8K]

Answer:

The answer is 1/2

Step-by-step explanation:

First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.

To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.

Next you add the two fractions: 6/8 + 3/8 = 9/8

Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8

After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8

So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.

So Luna's glass only has 1/2 in the cup.

Make sure you be optimistic and see it as half full, instead of the pessimistic view of half empty. Remember to stay positive and share good vibes. Hope this answer helps you.

4 0
3 years ago
The ratio for 3 turnovers : 12 assists write the ratio as a fraction in simplest form?
melamori03 [73]

Answer: 1:4

Step-by-step explanation:

3:12 written as a fraction is 3/12

Simplify:

3/12 = 1/4

5 0
4 years ago
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