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3 years ago

In 4 month, 104 gallons were used(determine gallons per month)

Mathematics

1 answer:

saw5 [17]3 years ago

6 0

All you have to do is divide 104 by 4! The awnser is 26

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The ac is a leg of the right triangle <br> True <br> False

Vinil7 [7]

Answer:

False

Step-by-step:

The hypotenuse of the triangle is the side opposite to the right angle. The legs are the other two sides of the triangle. Since AC is on the opposite side of the right angle, it is the hypotenuse and therefore not a leg. Hope this helps!

3 0

3 years ago

A b

kumpel [21]

The constant of proportionality is 4. Also, look at 36, and 9 because you could have just divided it it is not as complicated as you think.

5 0

2 years ago

A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa

Gnesinka [82]

Answer:

The value of x would be $\frac{5}{3}$

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

$V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3$

Differentiating with respect to x,

$V'=100 - 80x + 12x^2$

Again differentiating with respect to x,

$V''=-80 + 24x$

For maxima or minima,

$V'=0$

$\implies 100 - 80x + 12x^2 = 0$

$\implies 3x^2 - 20x + 25=0$

By quadratic formula,

$x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}$

$x=\frac{20\pm \sqrt{400 - 300}}{6}$

$x=\frac{20\pm \sqrt{100}}{6}$

$x=\frac{20\pm 10}{6}$

$\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5$

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0

3 years ago

Can anyone help me with this question please <br> I will mark as a brainliest.

Scorpion4ik [409]

Answer:

I think it is A.

Step-by-step explanation:

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2 years ago

The original price of a video game is $45. What is the sale price after a 25% discount.

Ghella [55]

Answer:

33.75

Step-by-step explanation:

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3 years ago