All categories

2 years ago

write an equation that represents each mixed number as a sum of whole numbers and unit fractions 4 1/4

Mathematics

2 answers:

elena55 [62]2 years ago

6 0

Hey user

l think it is

4 1/4 = 4 + 1/4

hope this helped

Serhud [2]2 years ago

3 0

The equation would be 4 1/4 = 4 + 1/4

You might be interested in

What are the steps to find the lower and upper quartiles of a data set

Mariana [72]

Answer:

1. Order the values. 2. Find the median. 3. Find the lower quartile. 4. Find the upper quartile.

Step-by-step explanation:

6 0

3 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

a fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to

gregori [183]

Answer:

The volume of the water in the fishbowl is equal to

$(682\frac{2}{3})\pi\ in^{3}$ or $2,144.6\ in^{3}$

Step-by-step explanation:

we know that

The volume of the sphere (a fishbowl) is equal to

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

In this problem we have

$r=16/2=8\ in$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (8^{3})=\frac{2,048}{3}\pi\ in^{3}$

convert to mixed number

$\frac{2,048}{3}\pi\ in^{3}=\pi (\frac{2,046}{3}+\frac{2}{3})=(682\frac{2}{3})\pi\ in^{3}$

$(3.14156)*(682\frac{2}{3})=2,144.6\ in^{3}$

6 0

3 years ago

Read 2 more answers

Subtract. (6x + 5) - (x + 3) A. 5x + 2 B. 6x + 2 C! 6x + 8 D. 5x + 8

Natali [406]

Answer: 5x + 2

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Exploring permutations (PLEASE HELP)

amid [387]

Answer:

3 ways for number 1

Step-by-step explanation:

JUST TRUST ME!

5 0

2 years ago

Read 2 more answers