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3 years ago

170 percent converted to a fraction equals: ...?

2 answers:

8 0

There are several ways to do this by converting the percentage to a fraction by placing thee expression over 100100. Percentage means out of 100 and it will look like this 170/100.
Reduced the expression. 17/10
or in whole number it is 1 17/10

nadezda [96]3 years ago

8 0

The Answer is 1 7/10

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Yuri purchased 8 trees to have planted at his house. The store charged a delivery fee of $5 per tree.

cestrela7 [59]

Answer:

$16.

Step-by-step explanation:

Let t represent the cost of each tree.

We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.

We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be $8\times \$5=\$40$

The total cost of purchasing 8 trees will be $8t+40$ .

Since the total cost of the trees including the delivery was $168, so we can get an equation as:

$8t+40=168$

$8t+40-40=168-40$

$8t=128$

Upon dividing both sides of our given equation by 8, we will get:

$\frac{8t}{8}=\frac{128}{8}$

$t=16$

Therefore, the cost of each tree is $16.

5 0

3 years ago

A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo

beks73 [17]

When an spherical balloon volume is increasing at the rate of $3ft^3/min$ then the diameter of the balloon is increasing $\frac{3}{2\pi }ft /min$

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is $v=\frac{4}{3} \pi r^3$

In form of diameter we can write as

$v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3$

Now we will differentiate both sides wrt to $t$ we get

$\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft$

Given in the question $\frac{dv}{dt} =3ft^3/min$

thus when we substitute the values we get

$\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi } ft/min$

Learn more about the differentiation here:

brainly.com/question/28046488

#SPJ4

3 0

2 years ago

The following system of equations is _____.

hoa [83]

The correct answer among the choices listed above is the second option. The following system of equations is equivalent. This is because when written in the same form, one equation will yield to the same equation as the other.

y = -1/3x +2/3

2x + 6y = 4
6y = 4 - 2x
y = 2/3 - 1/3x
y = -1/3x +2/3

3 0

3 years ago

Help

Anika [276]

The answer to your question is D
.5 x 8= 4 pounds
.5 x 10=5 pounds
.5 x 12=6 pounds
.5 x 16=8 pounds

3 0

3 years ago

Read 2 more answers

True or false: when comparing two populations, the larger the standard deviation, the more dispersion the distribution has,

SOVA2 [1]

True, because the standard deviation describes how far, on average, each observation is from the typical value. A larger standard deviation means that observations are more distant from the typical value, and therefore, more dispersed.

6 0

3 years ago