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Pachacha [2.7K]
3 years ago
6

Henry located 2 1/4 and 2.1 on a number line. He wrote the following related story:

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

Jerry ran a farther distance and not Henry.

Step-by-step explanation:

We are given the following information in the question:

Jerry rain 2\frac{1}{2} miles and Henry ran 2.1 miles.

Henry claimed that he ran a farther distance.

This is a wrong claim because when we compare:

2\frac{1}{2} and 2.1

2\displaystyle\frac{1}{2} = \displaystyle\frac{5}{2} = 2 + 0.5 = 2.5\\\\2.5 > 2.1

Hence, Jerry ran a farther distance and not Henry.

Henry may have made some mistake in plotting   2\frac{1}{2} and 2.1 on the number line.

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I have already covered one-third the distance from Podunk to Boondocks, and after I walk one more mile, I’ll be half way there.
saveliy_v [14]

Answer:

6 miles

Step-by-step explanation:

Let the distance of Boondocks from Podunk to be x

1/3 x +1 = 1/2x

1=1/2x-1/3x

1= 1/6 x

6*1=x

6 miles= x

7 0
3 years ago
Simplify the expression.<br> (the quantity x to the one-sixth power end quantity to the power of 3.)
Usimov [2.4K]

Answer:

\sqrt{x}

Step-by-step explanation:

If we have that worded expression, we can convert it into actual mathematical terms.

x to the one sixth power: x^{\frac{1}{6}}

That to the power of 3:

(x^{\frac{1}{6}})^3

Using exponent rules, since we have a power to a power, the powers multiply, so:

x^{\frac{1}{6}\cdot 3}\\\\x^{\frac{3}{6}}\\\\ x^{\frac{1}{2}}

If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.

So:

x^{\frac{1}{2}} = \sqrt{x}

Hope this helped!

8 0
3 years ago
Read 2 more answers
Find the simultaneous equation x-2y=1,y^2-3xy+8=0​
Hitman42 [59]

Answer:

  (-2.2, -1.6), (3, 1)

Step-by-step explanation:

You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.

Use the first equation to write an expression for x, then substitute that into the second equation:

  x = 2y +1

  y^2 -3(2y+1)(y) +8 = 0

  -5y^2 -3y +8 = 0

  -(5y +8)(y -1) = 0

  y = -8/5   or   y = 1

The corresponding values of x are ...

  x = 2(-8/5)+1 = -11/5

  x = 2(1) +1 = 3

The solutions are (x, y) = (-2.2, -1.6) and (3, 1).

5 0
3 years ago
=
irina [24]

Answer:

A cell wall is a structural layer surrounding some types of cells, just outside the cell membrane. It can be tough, flexible, and sometimes rigid. It provides the cell with both structural support and protection, and also acts as a filtering mechanism.

5 0
3 years ago
A bicycle wheel with radius 30cm made 1000 revolutions. What distance did it cover?​
Inga [223]

The distance covered by bicycle is 1.885 km.

What is distnace?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.

Given:  A bicycle wheel with radius 30cm made 1000 revolutions.

We have to find the total distance covered by bicycle.

First to find the circumference of the bicycle wheel.

Circumference = 2πr

where, r is the radius.

Here r = 30.

So,

Circumference = 2 x π x 30 = 60π

Now to find the total distance,

D = circumference x number of revolutions.

D = 60π x 1000

D = 188,495.5592 cm

D = 188,495.5592 /1000 km

D = 1.88 km

Therefore, the distance covered by bicycle is, 1.885 km.

To know more about the distance, click on the link

brainly.com/question/26046491

#SPJ9

8 0
1 year ago
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