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3 years ago

A person jogs 1/2 miles in 1/12 hours. The person's speed is how many miles per hour?

Mathematics

1 answer:

ipn [44]3 years ago

5 0

Answer:

6 miles per hour

Step-by-step explanation:

speed = distance/time

speed = 1/2÷1/12 which is the same as

1/2 x 12/1 = 6

6 miles per hour.

or ou could change the 1/2 to become 0.5

and the 1/12 to become 0.083333333

and divide 0.5 ÷ 0.083333333 = 6.000000024

rounded to one decima place become 6.0

6 miles per hour

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Suppose you're making a soup that uses 5 cups of chicken broth and 3⁄4 teaspoons of corn starch for 8 servings. You need to make

yanalaym [24]

Answer:

Option A = 7.5 cups

Step-by-step explanation:

Given : Suppose you're making a soup that uses 5 cups of chicken broth and $\frac{3}{4}$ teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need $1\frac{1}{8}$ teaspoons of corn starch.

To find : How much broth do you need?

Solution :

A soup that uses 5 cups of chicken broth and $\frac{3}{4}$ teaspoons of corn starch for 8 servings.

i.e. 5 cups + $\frac{3}{4}$ teaspoon = 8 servings ......(1)

You need to make 12 servings of the soup, so you'll need $1\frac{1}{8}=\frac{9}{8}$

i.e. x cups + $\frac{9}{8}$ teaspoon = 12 servings ........(2)

So, First we find the ratio

Ratio is $\frac{12}{8}=\frac{3}{2}$

So to equal the ratio multiply (1) by $\frac{3}{2}$

$5\times \frac{3}{2}$ cups + $\frac{3}{4}\times \frac{3}{2}$ teaspoon = $8\times \frac{3}{2}$ servings

$\frac{15}{2}$ cups + $\frac{9}{8}$ teaspoon = 12 servings

On comparing with (2),

The value of x is $\frac{15}{2}$ .

Therefore, The broth do we need is $\frac{15}{2}=7.5$ cups.

So, Option A is correct.

5 0

3 years ago

The radius of a circle is

KIM [24]

Answer:

43.98

Step-by-step explanation:

7 0

2 years ago

4(x−0.8)=3.8x−5.8 PLZZZ ANSWER FAST!

Hunter-Best [27]

To find the answer:
$4(x - 0.8) = 3.8x - 5.8 \\ 4x - 3.2 = 3.8x - 5.8 \\ 4x - 3.8x = - 5.8 + 3.2 \\ 0.2x = - 2.6 \\ x = - \frac{ 2.6}{0.2} \\ x = - 13$

Therefore, x=-13.

Hope it helps!

5 0

2 years ago

Read 2 more answers

Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?

natima [27]

Answer:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}$

Step-by-step explanation:

The question is poorly formatted. The original question is:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7$

We have:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7$

Open bracket

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

Express 8 as 2^3

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

Express 2^3 as 8

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}$

Expand each exponent

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}$

Split

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}$

Factorize

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}$

4 0

2 years ago

Read 2 more answers

In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.What is the lar

djverab [1.8K]

Answer:

Step-by-step explanation:

n(G or F) = n(G) + n(F) - n(G and F)

Total will be the greatest when the intersection is empty

Largest number = 15 + 17 = 32

6 0

2 years ago