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irina [24]
3 years ago
15

Suki rode her bike 6/7 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using benchm

ark 1/2. Select the correct answer to describe how to solve the problem.
Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

Answer:

6/7 > 1/2

1/3 < 1/2

Suki rode her bike a longer distance than Clarie

Step-by-step explanation:

Suki's distance = 6/7 miles

Compare with bechmark 1/2

6/7 and 1/2

Make the denominators same

(6*2)/(7*2) and (1*7)/(2*7)

12/14 and 7/14

12/14 is greater than 7/14

12/14 > 7/14

Therefore, 6/7 > 1/2

Clarie distance = 1/3 miles

Compare with bechmark 1/2

1/3 and 1/2

Make the denominators same

(1*2)/(3*2) and (1*3)/(2*3)

2/6 and 3/6

2/6 is less than 3/6

2/6 < 3/6

Therefore,

1/3 < 1/2

Compare Suki's distance with Clarie

compare 6/7 and 1/3

Make the denominators same

(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)

18/21 and 7/21

18/21 > 7/21

Suki rode her bike a longer distance than Clarie

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What is the value of x in the equation 6x-5/2 = 2x+6​
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Answer:

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Step-by-step explanation:

6x− 5/2=2x+6

Step 1: Simplify both sides of the equation.

6x+−5/2=2x+6

Step 2: Subtract 2x from both sides.

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Step 3: Add 5/2 to both sides.

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Step 4: Divide both sides by 4.

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3 years ago
Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 orange
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Answer:

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3 years ago
A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 Centimeters cubed of sand. Jared says tha
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Answer:

C. Jared is not correct because the cone and the cylinder have the same base and height so the cone holds 4,712/3≈1,571 centimeters cubed of sand.

Step-by-step explanation:

We have a cone and a cylinder with the same base and height.

We can express the volume of the cylinder as:

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being r the radius and H the height.

The volume of the cone can be written as:

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As they have the same base and height, we know that the volume of the cylinder is 3 times the volume of the cone.

If the volume of the cylinder is 4,712 cm^3, then the volume of the cone is:

V_{con}=\dfrac{V_{cyl}}{3}=\dfrac{4,712}{3}\approx1571

8 0
3 years ago
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