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2 years ago

Write and solve an equation to find the answer ?

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

4 0

The equation would be 10= 2 + 2x
x is the number of months
solve for x
and you should get the answer!!
Good luck~~

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The points (6,y) and (7,9) fall on a line with a slope of 5 . What is the value of y ?

JulsSmile [24]

Answer:

y=4 (6,4)

Step-by-step explanation:

hope this helps!

7 0

2 years ago

Sam scored 98,25,105,62 and 65 run in 5 matches what was the average score per match

Jet001 [13]

To get the average you need to add all the numbers together and divide by the match number. So, 98+25+105+62+65=355. 355/5=71, therefore the average is 71

7 0

2 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

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

Divide both sides by r

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

Expand Expression

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

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

2 years ago

Read 2 more answers

A company sells tents in two styles, shown below. The sides and floor of each tent are made of nylon. Which tent requires less n

BartSMP [9]

Answer: Tunnel tent.

Step-by-step explanation:

The tent which has the minimum area requires less nylon to manufacture,

Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft

= $3 \times ( 8^2 ) + 2\times \frac{64\sqrt{ 3} }{4}$

= $192+ 2\times \frac{64\sqrt{ 3} }{4}$

= $192+ 32\sqrt{ 3}$

= $247.425625842\approx 247.43\text { square ft}$

Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft

= $8^2 + \frac{1}{2} [ 2\pi\times 4(4+8)]$

= $64 + \pi\times 48$

= $64 + 3.14\times 48$

= $214.72\text { square ft}$

Since, 214.72 < 247.43

Thus, Tunnel tent requires less nylon to manufacture.

4 0

3 years ago

The table shows the number of cups of water required when cooking different amounts of rice

Ad libitum [116K]

Please explain more your question

3 0

2 years ago