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Fittoniya [83]
3 years ago
13

A container holds 10 gallons of water. If 5/8 of a gallon is added to the container each hour, how many hours would it take to f

ill the container?
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
The answer is 16 hours. This is because 5/8 is equivalent to .625 so we divide the total capacity by that increment and we get 16.
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Multiply (9x + 2) (2x - 3). What is the product?
garik1379 [7]

Answer:

18x^2-23x-6

Step-by-step explanation:

multiply: 9x*2x-9x*3+2*2x-2*3

18x^2-9X(3)3+2(2X)-2(3)

18X^2-27x+4x-6

18x^2-23x-6

7 0
3 years ago
Use the figure to find the measures of the numbered angles,
Galina-37 [17]

Given:

A figure in which a transversal line t intersect the two parallel lines a and b.

To find:

The measure of the numbered angles.

Solution:

If a transversal line intersect the two parallel lines, then

1. Corresponding angles are equal.

2. Alternate interior angles are equal.

3. Alternate exterior angles are equal.

Now,

m\angle 1+99^\circ=180^\circ              (Linear pair)

m\angle 1=180^\circ-99^\circ

m\angle 1=81^\circ

m\angle 2=99^\circ                         (Vertically opposite angles)

m\angle 3=\angle 1=81^\circ                (Vertically opposite angles)

m\angle 4=99^\circ                         (Corresponding angles)

m\angle 5=\angle 3=81^\circ                (Alternate interior angles)

m\angle 6=99^\circ                         (Alternate exterior angles)

m\angle 7=\angle 3=81^\circ                (Corresponding angles)

Therefore, \angle 1=81^\circ, \angle 2=99^\circ,\angle 3=81^\circ, \angle 4=99^\circ,\angle 5=81^\circ, \angle 6=99^\circ,\angle 7=81^\circ.

8 0
3 years ago
If f(x) = ||x|| , find f (-1/4)
spin [16.1K]
Anything that is absolute value is just that same number

therefore the answer is 1/4

hope this helps
8 0
3 years ago
Determine the factors of 5x2 + 29x _ 6
Andre45 [30]
The answer is (x + 6)(5x - 1).

5x² + 29x - 6 = 5x² + 30x - x - 6 =
                      = (5x · x + 5x · 6) - (x + 6) =
                      = 5x(x + 6) - 1(x + 6) =
                      = (x + 6)(5x - 1)
6 0
3 years ago
Read 2 more answers
Simplify ten to the eighth divided by ten to the negative third.
In-s [12.5K]

Answer:

10^{11}

Step-by-step explanation:

A statement is given i.e. "ten to the eighth divided by ten to the negative third."

It means that 10 to power 8 divided by 10 to the power -3.

Mathematically,

\dfrac{10^8}{10^{-3}}

We know that, \dfrac{x^a}{x^b}=x^{a-b}

Here, x = 10, a = 8 and b = -3

So,

\dfrac{10^8}{10^{-3}}=10^{8-(-3)}\\\\=10^{8+3}\\\\=10^{11}

So, the answer is 10^{11}

7 0
3 years ago
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