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3 years ago

11

If two times the square of a number minus 5 times that number is 35, then what is the number?

2 answers:

horsena [70]3 years ago

7 0

I would say it's 7 because 5 times 7 is 35

andrew-mc [135]3 years ago

5 0

Let "n" be the variable for the number-
In number form, this problem is-
(2)n^2-5=35
First, add 5 to both sides
(2)n^2-5+5=35+5
2n^2=40
Divide by 2
n^2=20
Find the square root of both sides-
n= Square root of 20
n= 2 $\sqrt{5}$
Approximately- 4.4721....

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The price of a CD on sale is 0.65c, where c is the original price of the CD. What does that mean?

Nuetrik [128]

Hey there!

If the price of a CD on sale is 0.65c, then 0.35 was taken off of the original price. You can find this if you subtract 0.65 from 1, or 65% from 100%.

Your answer would not be your second option or your fourth option, since the price you're paying is 0.65 of the original price and you are getting 0.35 of the price off. Also, your third option wouldn't be correct either, since 0.35 isn't being added on top of the total price.

Your answer is your first option.

Hope this helped you out! :-)

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3 years ago

Find a point-slope form for the line with slope 1/5<br> and passing through the point (-7,-4).

Basile [38]

Answer:

y + 4 = ⅕(x + 7)

Step-by-step explanation:

The "point-slope" form of the equation of a straight line is:

y − y₁ = m(x − x₁)

where m is the slope and (x₁, y₁) is a point on the line.

If m = ⅕ and (x₁, y₁) = (-7, - 4), the point-slope equation is

y + 4 = ⅕(x + 7)

The Figure below shows the graph of your line and a point at (-7, -4).

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3 years ago

Choose the number sentence whose product is 2.015.

Mariulka [41]

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2 years ago

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Hao bought a 16-pound bag of dog food. If his dog eats pound of food every day, for how many days will the bag of dog food last?

densk [106]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Please asap<br>for 10 points!

kari74 [83]

<h3>Given:</h3><h3>Large cone:</h3>

r= 8 cm
h= 20 cm

<h3>Small cone:</h3>

r= 4 cm
h= 10cm

<h3>Note that:</h3>

r: radius
h: height

<h3>To find:</h3>

The volume of the frustum of the given cone.

<h3>Solution:</h3>

Frustum is a part of a cone formed by cutting off the top by a parallel plane.

$\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}$

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

$V= \frac{1}{3}×\pi×{4}^{2}×10$

$V= 167.5516082 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V= 167.55 \: {cm}^{3}}$

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

$V= \frac{1}{3}×\pi×{8}^{2}×20$

$V= 1340.412866 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V=1340.41 \: {cm}^{3}}$

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

$V= 1340.41-167.55$

$\large\boxed{V= 1172.86 \: {cm}^{3}}$

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>

8 0

1 year ago