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3 years ago

What is 4 1/4 multiplied by 5 as a mixed number or a fraction

Mathematics

1 answer:

qwelly [4]3 years ago

8 0

Answer:

22 1/2

Step-by-step explanation:

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The graph shown corresponds to someone who makes

marusya05 [52]

Answer:

Very

Step-by-step explanation:

8 0

4 years ago

A game room has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. W

castortr0y [4]

Length: 24 units

1:5
24:120

Width: 15 units

1:5
15:75

8 0

3 years ago

Read 2 more answers

Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,

kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

$V_{flask}=V_{sphere}+V_{cylinder}.$

Use following formulas to determine volumes of sphere and cylinder:

$V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,$

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

$V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;$
$V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;$
$V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.$

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

$V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.$

Then

$\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.$

Answer 2: correct choice is D.

8 0

4 years ago

Read 2 more answers

1/3 of the students in Mrs. Holl's have dogs.Of those studetns, 2/5 have beagles. What fraction of the students in Mrs. Holl's c

antoniya [11.8K]

The answer is: " 2/15 " .
_________________________________
Explanation:
_________________________________
(2/5) * (1/3) = what fraction?
____________________________
(2/5) * (1/3) = (2*1) / (5*3) = 2/15 .
____________________________
The answer is: " 2/15 " .
____________________________

7 0

3 years ago

Read 2 more answers

Slope of the line passing through points(-6,-7), (2,-7)

natima [27]

Answer:

<h3>0 and undefined. </h3>

Step-by-step explanation:

<h3><u>SLOPE FORMULA:</u></h3>

y₂-y₁/x₂-x₁=rise/run

<h3><u>SOLUTIONS:</u></h3>

y₂=(-7)

y₁=(-7)

x₂=2

x₁=(-6)

Solve.

$\displaystyle \mathsf{\frac{(-7)-(-7)}{2-(-6)}=\frac{0}{8}=\boxed{\mathsf{0}} }}$

The slope is 0 and undefined, which is our answer.

5 0

4 years ago