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3 years ago

What is a related subtraction fact for 6+8=14

Mathematics

1 answer:

aliina [53]3 years ago

8 0

Answer:

14 - 6 = 8
14 - 8 = 6

Step-by-step explanation:

When two numbers have a particular sum, subtracting either from the sum will give the other.

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The answers for number 5

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Step-by-step explanation:

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3 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

3 years ago

Read 2 more answers

The ratio of a number and 4 times that number is equal to the ratio of 5 times the number and 95 more than a number

il63 [147K]

Answer:

1/4 = (5n)/(n +95)

Step-by-step explanation:

If all the numbers referred to are the same number, we can use n to represent it. Then, "the ratio of a number and 4 times that number" is n/(4n) = 1/4. "The ratio of 5 times the number and 95 more than the number" is (5n)/(n+95)

The equation for the problem can be written ...

1/4 = (5n)/(95+n)

___

If you're a purist, you might leave the factors of "a number" in the first raio and write it ...

n/(4n) = (5n)/(95+n)

Solving this gets you to a quadratic form that has the extraneous solution n=0.

8 0

3 years ago