All categories

3 years ago

Kevin cuts 3/4 off of the length of a log. Kenneth cuts 1/8 off of what is left. How much of the original log remains?

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

4 0

Answer:

7/32

Step-by-step explanation:

1. Subtract the 3/4

1 - 3/4 = 1/4

2. Find what 1/8 of 1/4 is

1/4 × 1/8 = 1/32

3. Subtract it from 1/4

1/4 - 1/32

4. Multiply 1/4 by 4/4 to get a common denominator to subtract

1/4 × 4/4 = 8/32

8/32 - 1/32 = 7/32

You might be interested in

Which line has a constant of proportionality between y and x of 1/2?

Gnesinka [82]

Answer:

It's line C.

Step-by-step explanation:

the slope of line C is 1/2 so that's the constant of proportionality

6 0

3 years ago

Amy jogs 1/3 of a mile in 1/15 of an hour, while john takes 1/30 of an hour to jog 1/5 of a mile. If they continue at this rate,

jolli1 [7]

Step-by-step explanation:

Given that,

Amy jogs 1/3 of a mile in 1/15 of an hour and john takes 1/30 of an hour to jog 1/5 of a mile.

Speed of Amy,

$v_1=\dfrac{\dfrac{1}{3}\ miles }{\dfrac{1}{15}\ h}=5\ mph$

Speed of John,

$v_2=\dfrac{\dfrac{1}{5}\ miles }{\dfrac{1}{30}\ h}=6\ mph$

John will jog farther in one hour as he is moving with faster speed. The speed of John is 1 mph more than Amy.

6 0

3 years ago

X2 +10x + 21<br> I need to factor the

Ber [7]

Answer:

(x + 7)(x + 3).

Step-by-step explanation:

x^2 +10x + 21

21 = 7 * 3 and 10 = 7 +3

so the factors are

(x + 7)(x + 3).

4 0

3 years ago

Find the distance between the points (0, 10) and (–9, 1).

Assoli18 [71]

D=sqrt[(x1-x2)^2+(y2-y1)^2]
(0,10) x1=0 y1=10 and (-9,1) x2=-9 y2=1
now d=sqrt[(-9-0)^2+(1-10)^2]=12.72792206 units

6 0

3 years ago

Which of the following can be used to calculate the volume of water inside the fish bowl?

Lunna [17]

The volume of a sphere can be calculated as

$V=\frac{4}{3}\pi r^3$

Where r is the radius of the sphere

We want to calculate half of the volume, then we must divide that volume by 2

$V^{\prime}=\frac{1}{2}\frac{4}{3}\pi r^3$

Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then

$r=\frac{AB}{2}=\frac{12}{2}=6$

Let's put it into our equation

$\begin{gathered} V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(r)^3 \\ \\ V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(6)^3 \end{gathered}$

The problem says to use

$\pi\approx\frac{22}{7}$

Then

$V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)(6)^3$

Final answer:

The formula that can be used to calculate the volume of water inside the fish bowl is

$V=\frac{1}{2}\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)(6)^3$

8 0

1 year ago