All categories

3 years ago

Which of the following is an integer multiple of the unit fraction 1/4?

Mathematics

2 answers:

quester [9]3 years ago

3 0

Answer:

Choice D is correct answer.

Step-by-step explanation:

We have to find an integer multiple of unit fraction 1/4.

3 is an integer.

Multiply 3 to the unit fraction 1/4.

So, 3/4 is an integer multiple of the unit fraction 1/4.

Hence, choice D is correct answer.

I am Lyosha [343]3 years ago

3 0

Answer:

Option D.

Step-by-step explanation:

A unit fraction is a rational number written as 1/n, where n is a positive integer.

We need to find a number or expression which is an integer multiple of the unit fraction 1/4. It means the number which is the product of an integer and 1/4.

$\dfrac{1}{8}=\dfrac{1}{2}\times \dfrac{1}{4}$

1/8 is the product of 1/2 and 1/4. Here. 1/2 is not an integer.

$\dfrac{1}{4}\times \dfrac{1}{4}$

It is the product of 1/4 and 1/4. Here. 1/4 is not an integer.

$\dfrac{3.2}{4}=3.2\times \dfrac{1}{4}$

It is the product of 3.2 and 1/4. Here. 3.2 is not an integer.

$\dfrac{3}{4}=3\times \dfrac{1}{4}$

It is the product of 3 and 1/4. Here. 3 is an integer.

Therefore, the correct option is D.

You might be interested in

a light bulb manufacturer finds that 4% of the bulbs it makes are defective. The quality control officer predicts that 700 bulbs

kodGreya [7K]

Answer:

No, 4% is 620 light bulbs

Step-by-step explanation:

No, because 700 out of 15,500 is 4.5% not 4 %. 4% of 15,500 would be 620 light bulbs

3 0

3 years ago

Find the values for which the statement is true and mark them on the number line: |x|=x

gogolik [260]

Answer:

The function f(x) = IxI works as follows:

if x ≤ 0, then IxI = -x

if x ≥ 0, then IxI = x

notice that if x = 0, then I0I = 0 = -0

Now, we want that:

IxI = x

Then we have that x must be greater or equal than zero:

x ≥ 0.

To represent it in the number line, you should use a black dot in the zero an shade all the right region:

__-2__-1__0__1__2__3__4__5__6__....

6 0

3 years ago

Find the height of the pyramid.

Rudiy27

Answer:

hight is 158

Step-by-step explanation:

7 0

3 years ago

An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking out will diminish. Suppose

Alborosie

Answer:

62.77 million gallons

Step-by-step explanation:

Given,

The function that shows rate of leaking oil per minute in after t hours,

$R(t) = \frac{0.7}{1+t^2}$

∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,

Hence, the quantity of oil leaked out in the first 3 hours,

$V(t) = \int_{0}^{180} R(t) dt$

$=\int_{0}^{180} \frac{0.7}{1+t^2} dt$

$=0.7 \int_{0}^{180} \frac{dt}{1+t^2}$

$=0.7[tan^{-1}(t)]_{0}^{180}$

$=0.7(tan^{-1}(180) - tan^{-1} (0))$

$=0.7(89.68)$

= 62.77 million gallons

5 0

3 years ago

Solve the system of equationsy=6x^2-5x+1,y=-2x+4

lubasha [3.4K]

Answer:

Solutions are (1,2) and (-1/2,5)

Don't forget to like rate and mark brainliest!

Step-by-step explanation:

y=6x^2-5x+1

y=-2x+4

Substitute

-2x+4=6x^2-5x+1

Simplify

0=6x^2-3x-3

Solve by factoring

(x-6/6)(x+3/6)=0

x-1=0, x+1/2=0

x=1, x=-1/2

Plug x's into oringinal equation

y=-2(1)+4, y=-2(-1/2)+4

y=-2+4, y=1+4

y=2, y=5

Write out solutions

(1,2) and (-1/2,5)

7 0

3 years ago