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2 years ago

How do you workout the fraction 3/4 + 1/8

Mathematics

2 answers:

Lorico [155]2 years ago

8 0

Answer:

$\frac{7}{8}$ or $\mathrm{Decimal:\ }\:0.875$

Step-by-step explanation:

$\frac{3}{4}+\frac{1}{8}$

lcm of 4 and 8 is 8

adjust the fraction base on the lcm

$=\frac{6}{8}+\frac{1}{8}$

$\mathrm{Apply\:the\:fraction\:rule}:$ $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$\mathrm{Add\:the\:numbers:}\:6+1=7$

$=\frac{7}{8}$

Svetradugi [14.3K]2 years ago

4 0

Answer:

The LCM for 4 and 8 is 8. Add both numerator and rewrite it in a single form. By using LCM method, 7/8 is the equivalent fraction by adding 3/4 and 1/8.

Hope This Helps!!! Have a great day!

<3<3

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The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

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

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0

2 years ago

If I can run 231 miles in 10.5 hours, how far can I run in 1 hour? (Se

Gemiola [76]

Whenever you have the answers for TOTAL MILES RUN and HOW MANY HOURS RUN (which you do), just divide the total miles by the amount of hours!

So, do 231 / 10.5

This is equal to 22!

3 0

3 years ago

A number increased by 5 then divided by 2

alex41 [277]

Answer:

(x + 5) /2

Step-by-step explanation:

"a number" (this will represent as "x")

"increased" another way to say add or "+"

then divided by 2

If you wrote it out like this "x+5/2"it would be wrong because of PEMDAS making you want to divide first instead of after.

4 0

2 years ago

when Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t

Scrat [10]

Answer:

The amount of floor Mrs.Stewart needs for $5$ cups of shortening $=\frac{75}{4} =18\tfrac{3}{4}$ cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs $\frac{2}{3}$ cups of shortening for $2\tfrac{1}{2}=\frac{5}{2}$ cups of flour.

Now we assume that the shortening needed for $x$ cups of flour is $y$ cups.

Accordingly we can arrange the ratios.

$\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}$

Plugging the value of $y=5$ as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with $5$ ,we have

Number of cups of flour (x) $=\frac{x}{y} =\frac{5/2}{2/3}$

So (x) $=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}$

The amount of floor Mrs.Stewart needed for $5$ cups of shortening = $18\tfrac{3}{4}\ cups$ .

3 0

3 years ago

Can someone help me solve this problem?

ioda

The scale factor was D. 4. We can figure this out by multiplying 3 by 4 to get 12 and 1 by 4 which is 4 to get the dimensions of the larger triangle.
I hope this helped! :-)

6 0

3 years ago