All categories

2 years ago

What is 2 1/2 + 4 2/5 in simplest form

Mathematics

1 answer:

Marysya12 [62]2 years ago

4 0

Answer:6 9/10

Step-by-step explanation:

You might be interested in

A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the

grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = $\frac{diameter}{2}=\frac{66}{2} =33 \ mm$

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = $\frac{4}{3}\pi r^3$

Now Volume of Gumball = $\frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3$

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = $\frac{diameter}{2}=\frac{58}{2} =29 \ mm$

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = $\frac{4}{3}\pi r^3$

So Volume of gumball's spherical hollow core = $\frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3$

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = $150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3$

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = $48347.6\ mm^3$

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0

2 years ago

Find the arc length of a central angle of 300° in a circle whose radius is 2inches

Svetradugi [14.3K]

360 degrees is the whole circumference.
300 degrees is 300/360 of the circumference.
The circumference: pi*r*2 = 4*pi = approximately 12.566.
300/360*12.566=10.472 = answer

8 0

2 years ago

Find the value of x

shtirl [24]

Answer:

x = 6

Step-by-step explanation:

Verticle angles are formed when two lines intersect. The angles opposite each other are congruent, those angles are called vertical angles.

Using this knowledge, one can say;

3x + 2= 20

Use inverse oeprations to solve for "x"

3x + 2 = 20

-2 -2

3x = 18

/3 /3

x = 6

5 0

2 years ago

The price of sneakers reduced $6 per week for 7 weeks. By how much did the price of the sneakers change over 7 weeks?

mylen [45]

Answer:

7(-6)=-42

After 7 weeks the price will be reduced by 7 times $6

Thus the price will be $42

8 0

2 years ago

When f(x)=5x^2-2x+5, evaluate f(-3)

patriot [66]

Answer:

f(-3)=56

Step-by-step explanation:

When evaluating a specific input for a function, you just plug that input in for x.

So in this case, f(-3)=5(-3)^2-2(-3)+5

f(-3)=5(-3)^2-2(-3)+5

f(-3)=5(9)+6+5

f(-3)=45+6+5

f(-3)=56

8 0

2 years ago