Order these rational numbers in order from least to greatest 1/5 and -0.4 and -1/4 and 0.5

A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli

Digiron [165]

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

$\frac{ \frac{6}{5} }{ \frac{4}{5} }$

This is the same as

$\frac{6}{5} \div \frac{4}{5}$

To divide two fractions, we multiply by the reciprocal of the second fraction.

$\frac{6}{5} \times \frac{5}{4}$

$\frac{3}{1} \times \frac{1}{2}$

This simplifies to:

$\frac{3}{2} = 1 \frac{1}{2}$

The unit rate is 1.5 cords per hour

3 0

2 years ago

Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which an

alex41 [277]

The question is incomplete. Here is the complete question:

Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which answers is correct.

(A) $\frac{22}{3}$

(B) $\sqrt[3]{22}$

(C) $\pm \sqrt[3]{22}$

(D) $\sqrt{22}$

Answer:

(B) $\sqrt[3]{22}$

Step-by-step explanation:

Given:

The equation to solve is given as:

$x^3=22$

Here, the left hand side of the equation has a variable 'x' in exponent form. So, in order to solve for 'x', we have to eliminate the exponent.

For removing the exponent, we have to take cubic root on both the sides. As we know that,

$\sqrt[n]{x^n} =x$

So, taking cubic root on both the sides, we get

$\sqrt[3]{x^3}=\sqrt[3]{22}\\\\x=\sqrt[3]{22}$

Therefore, the second student has written the correct answer and hence the correct option is (B).

6 0

3 years ago

Read 2 more answers

- The width of a swimming pool is one third of its length. The width of the pool is 15 feet. What is the length of the

disa [49]

Answer: 45ft.

Step-by-step explanation:

Let assigned the value of x to the unknown lenght.

Therefore, the Length = xft

The with is 1/3 of the length and this. = 15ft.

Now , to get the length, we equate both together and then solve for x .

1/3 of x = 15

x/3 = 15

To get x, we multiply both side by 3

x = 45ft

The of the pool = 45ft.

7 0

3 years ago

Main Idea: You do not need to know the measures of all

vagabundo [1.1K]

Enebebdbrvd t t dbdbebr d. dhebebr xb. jehebx b h ne e. j j j. Find the output, k, when the input, r, is -5.
k= 6x + 100
k

8 0

2 years ago

An architect is making a floor plan for a rectangular gymnasium.The distance between opposite corners of the gym will be 30 mete

blondinia [14]

30^2=A^2+18^2
900=A^2+324
900-324=A^2
576=A^2
24=A
Length is 24 meters

6 0

3 years ago

Read 2 more answers