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4 years ago

What is five times k

Mathematics

1 answer:

lana [24]4 years ago

5 0

6.90 i think i may be incorrect

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Adriel answered 54 questions correctly on his multiple choice history final and earned a grade of 45%. How many total questions

alex41 [277]

Answer:

There were 120 questions on the test.

Step-by-step explanation:

It is given that:

Number of questions answered = 54

Grade percent = 45%

Let,

x be the total number of questions

45% of x = 54

$\frac{45}{100}x=54\\0.45x = 54$

Dividing both sides by 0.45

$\frac{0.45x}{0.45}=\frac{54}{0.45}\\x=120$

Therefore,

There were 120 questions on the test.

8 0

3 years ago

What is 2(x-2)+x eqaul

Rzqust [24]

Answer:

3x-4

Step-by-step explanation:

4 0

3 years ago

A woman is emptying her aquarium at a steady rate with a small pump. The water pumped to a 12-in.-diameter cylindrical bucket, a

Temka [501]

Answer:

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

Step-by-step explanation:

Given that,

The diameter of cylindrical bucket = 12 in.

Depth is increasing at the rate of = 4.0 in per minutes.

i.e $\frac{dh_1}{dt}=4$

$h_1$ is depth of the bucket.

The volume of the bucket is V = $\pi r^2 h$

$=\pi \times 6^2\itimes h_1$

$\therefore V=36\pi h_1$

Differentiating with respect yo t,

$\frac{dV}{dt}=36\pi \frac{dh_1}{dt}$

Putting $\frac{dh_1}{dt}=4$

$\therefore\frac{dV}{dt}=36\pi\times 4$

The rate of volume change of the bucket = The rate of volume change of the aquarium .

Given that,The aquarium measures 24 in × 36 in × 18 in.

When the water pumped out from the aquarium, the depth of the aquarium only changed.

Consider h be height of the aquarium.

The volume of the aquarium is V= ( 24× 36 ×h)

V= 24× 36 ×h

Differentiating with respect to t

$\frac{dV}{dt}=24\times 36 \times \frac{dh}{dt}$

Putting $\frac{dV}{dt}=36\pi\times 4$

$36\pi\times 4= 24\times 36\times \frac{dh}{dt}$

$\Rightarrow \frac{dh}{dt}=\frac{36\pi \times 4}{24\times 36}$

$\Rightarrow \frac{dh}{dt}=\frac{11}{21}$

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

7 0

4 years ago

Teddy called the movie theater to find out how much tickets cost for him and his seven friends to go to the new hero movie. He r

topjm [15]

Answer:

7.5

Step-by-step explanation:

If 8 people are going to the movie theater including Teddy, then we have to divide 60 by 8 which equals 7.5.

8 0

3 years ago

Higher interest rate mortgage loans made to people with poor credit

Mrrafil [7]

I don't know what you have to do but I'm trying to do my first answer srry

6 0

2 years ago

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