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4 years ago

The group of hikers walked 9.75 miles in 3 hours. Maintaining the same pace, how many miles will they cover in 4 hours?

Mathematics

1 answer:

suter [353]4 years ago

6 0

Answer:

I believe 13 miles.

Step-by-step explanation:

Set up a ratio since it will be at the same pace.

9.75 miles/3 hours = x miles/4 hours

Cross multiply to solve for x.

9.75 (4) = 3x

39 = 3x

So x = 13 miles.

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Which explanation can be used to derive the formula for the circumference of a circle?

Gelneren [198K]

Answer: The answer is the first explanation.

Step-by-step explanation: We are given five different options and we are to select which explanation is correct to derive the formula for a circumference of a circle.

Let 'C' be the circumference and 'd' be the diameter of a circle. Now, we will write the ratio of the circumference to the diameter as

$\dfrac{\textup{C}}{\textup{d}}.$

Also, we know that

$\dfrac{\textup{C}}{\textup{d}}=\pi.$

And diameter of a circle is twice the radius, so

$d=2r.$

Therefore,

$\dfrac{\textup{C}}{2\textup{r}}=\pi\\\\\Rightarrow \textup{C}=2\pi \textup{r}.$

This is the formula for the circumference of a circle. Since this explanation matches exactly with the first option, so the correct option is

(a). Find the relationship between the circumference and the diameter by dividing the length of the circumference and length of the diameter. Use this quotient to set up an equation to showing the ratio of the circumference over the diameter equals to π . Then rearrange the equation to solve for the circumference. Substitute 2 times the radius for the diameter.

8 0

3 years ago

Multiply. (3x+2)(2x−5) 6x^2+4x−3 6x^2−10 6x^2−11x−10 6x^2−13x−3

Serjik [45]

Answer: Heyaa! ^^

Your Answer when multiplied is.. 6x²−11x−10

Step-by-step explanation:

6x^2−11x−10

Expand the polynomial using the FOIL method.

- FOIL EXPLANATION -

A handy way to remember how to multiply two binomials.

It stands for "First, Outer, Inner, Last"

- It is the sum of: -

· multiplying the First terms,

· multiplying the Outer terms,

· multiplying the Inner terms, and

· multiplying the Last terms

Hopefully this helps you! ~

6 0

3 years ago

Three parcels weigh 2 pounds. Two parcels weigh the same. The lightest weight is 5/8 pound lighter than the heaviest weight. How

tankabanditka [31]

Its D if you want to give it a shoot but im 75% sure is D hope you got it right. :)

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3 years ago

Needs to be graphed and solved please help

il63 [147K]

Answer: here it is graphed and it cant be solved because there are no solutions as seen on the graph!

Step-by-step explanation: hope i helped please mark brainliest!

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4 years ago

Given a and b are numbers, and a + b = 180, which

Anastasy [175]

If the first one is a = 180 - b, and not 180 - 6, then that is correct.

Also, 360 = 2a + 2b is correct

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3 years ago