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3 years ago

14 2/3 + 1 7/9 - 11 14/29

Mathematics

2 answers:

NARA [144]3 years ago

3 0

Answer:exact form 1295/261

Mixed number form 4 251/261

Step-by-step explanation:

vaieri [72.5K]3 years ago

3 0

This is the answer to your question

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The hard drive on your computer has a capacity of 160 gigabytes (GB). You have used 122 GB. You want to save some home videos to

QveST [7]

Capacity of the hard drive = 160 GB.

Used space = 122 GB.

Free space = 160 - 122 = 38 GB.

So, the size of the home video collection should be less than or equal to 38 GB.

If u is the amount of space used, then, u ≤ 38

If a is the amount of space available, then a = 38 - u.

8 0

3 years ago

Read 2 more answers

Karl is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an

natali 33 [55]

Answer:

The width of the garden bed must be less than or equal to 4 feet.

$w\leq4$

Explanation:

Given that;

She has 20 feet of boards to make the sides.

The perimeter of the garden bed must not be more than 20 feet

$\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}$

Given;

The length is 6 feet;

$l=6$

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

$\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}$

Therefore, the width of the garden bed must be less than or equal to 4 feet.

$w\leq4$

8 0

1 year ago

How many units are -7 and its opposite from zero?

kenny6666 [7]

Answer:

-7 is -7 units away from zero. Its opposite is 7 from zero.

Step-by-step explanation: Count from 0 how many digits away it is

3 0

2 years ago

Find an equation of the circle that has center (-4,3) and passes through (6,-4).

kumpel [21]

Answer:

$(x+4)^2+(y-3)^2=149$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius of the circle.

Given that $(h,k)\rightarrow(-4,3)$ and it passes $(6,-4)$ , their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}$

Therefore, if the length of the radius is $r=\sqrt{149}$ units, then $r^2=149$ , making the final equation of the circle $(x+4)^2+(y-3)^2=149$

5 0

3 years ago

Perform the indicated operation to write given polynomial in standard form: (x+ 2)(2x^2 − 5x+7)

Elan Coil [88]

Answer:

So the expression in standard form will be $2x^3-x^2-3x-14$

Step-by-step explanation:

We have given expression $(x+2)(2x^-5x+7)$

We have to write this expression in standard form

For writing in standard form first we have to multiply the expression

So after multiplication number $(x+2)(2x^2-5x+7)=2x^3-5x^2+7x+4x^2-10x-14=2x^3-x^2-3x-14$

So the expression in standard form will be $2x^3-x^2-3x-14$

5 0

3 years ago