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3 years ago

Six children collect 45 pencils. 20% of the pencils need sharpening. How many pencils need

Mathematics

2 answers:

egoroff_w [7]3 years ago

6 0

Answer:

Step-by-step explanation:

45*2/10=45*1/5=9

Ipatiy [6.2K]3 years ago

4 0

Answer:

Step-by-step explanation:

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What number should be added to both sides of the equation to complete the square? X^2-10=7

Assoli18 [71]

I must assume that you meant X^2-10x =7. If that is indeed the case, then:

X^2-10x =7 => x^2 -10x + 25 - 25 = 7, so that (x-5)^2 = 32 (Add 25, then
subtract 25)
Then x-5 = plus or minus sqrt(16)sqrt(2) = 4sqrt(2).

Then x = 5 plus or minus 4 sqrt(2) (answers)

8 0

3 years ago

What is container B that is full after the pumping is complete ?

scoray [572]

Answer

68.4%

Step-by-step explanation

The volume of a cylinder is calculated as follows:

$V=\pi r^2h$

where r is the radius and h is the height of the cylinder.

In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:

$\begin{gathered} V_A=\pi\cdot5^2\cdot14 \\ V_A=350\pi\text{ ft}^3 \end{gathered}$

In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:

$\begin{gathered} V_B=\pi\cdot8^2\cdot8 \\ V_B=512\pi\text{ ft}^3 \end{gathered}$

After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, x, represents the volume of cylinder A. We can do this with the help of the next proportion:

$\frac{512\pi\text{ ft}^3}{350\pi\text{ ft}^3}=\frac{100\text{ \%}}{x\text{ \%}}$

Solving for x:

$\begin{gathered} 512\pi\cdot x=100\cdot350\pi \\ x=\frac{100\cdot350\pi}{512\pi} \\ x\approx68.4\text{ \%} \end{gathered}$

6 0

1 year ago

Explain why a polar curve is not always bounded.

Scrat [10]

Answer: There are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. A polar curve is required to have an unbounded function (right side of r = f(Θ)) to be an unbounded polar. An example of an unbounded curve would be r = Θ for 0 ≤ Θ.

8 0

2 years ago

A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate of 9 cm/s. Express the surfac

Zolol [24]

Since a sphere's surface area is 4πr², we then need to find r as a function of time t, which is 9t (since it increases by 9 every second)+0 (the initial value)=9t. Plugging it in, we get 4π(9t)²=4π*36t²=144πt²

8 0

2 years ago

Product of (6x+8us^2)(x-us^2)

Lerok [7]

Answer:

−8s4u2+2s2ux+6x2

Step-by-step explanation:

=(6x+8us2)(x+−s2u)

=(6x)(x)+(6x)(−s2u)+(8us2)(x)+(8us2)(−s2u)

=6x2−6s2ux+8s2ux−8s4u2

=−8s4u2+2s2ux+6x2

7 0

3 years ago

Read 2 more answers