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3 years ago

Multiply and simplify. 2/3 * (1/3 + 3 1/4)=?

Mathematics

2 answers:

kondor19780726 [428]3 years ago

5 0

Vinvika [58]3 years ago

4 0

2/3* (1/3+13/4)

2/3*( $\frac{4+39}{12}$
2/3*(43/12)
2/3*43/12
86/36 (divide by 2) = 43/18 = 7 1/18

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A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the

suter [353]

Answer:

$V = 518cm^3$

Step-by-step explanation:

Given

$h = 15cm$

$R = 6cm$

$r =5cm$

Required

The volume of the remaining cylinder

Before the cut-out, the cylinder has a volume (V) of:

$V = \pi R^2h$

After the cut-out, the cylinder has a volume of:

$V = \pi [R^2 -r^2]h$

So, we have:

$V = 3.14* [6^2 -5^2]*15$

$V = 3.14* [36 -25]*15$

$V = 3.14* 11*15$

$V = 518cm^3$

6 0

3 years ago

Karen is a software saleswoman. Her base salary is $2100, and she makes an additional $50 for every copy of English is Fun she s

Shalnov [3]

Karen has a base salary that is $2100 and does not depends on how many copies she sells.

Additional to the base salary, she gets $50 for each copy she sells, so we can write this additional salary as 50*N, being N the number of copies she sells.

Then, we can write the total pay P as:

$P=2100+50N$

Then, if N=22, we can calculate the total pay as:

$P(22)=2100+50\cdot22=2100+1100=3200$

Answer:

The equation relating P and N is P=2100+50N.

The total pay when she sells 22 copies is $3,200.

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1 year ago

Write an equation in point-slope form for the line through the given point with the given slope.

Paul [167]

Answer:

C.) $\displaystyle y - 6 = \frac{3}{4}(x + 4)$

Explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

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3 years ago

Find the equation of a sphere if one of its diameters has endpoints: (-9, -12, -6) and (11, 8, 14).

baherus [9]

Answer:

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is $(x-1)^{2}+(y+2)^{2}+(z-4)^{2} = 30$ .

Step-by-step explanation:

There are two kew parameters for a sphere: Center ( $h$ , $k$ , $s$ ) and Radius ( $r$ ). The radius is the midpoint of the line segment between endpoints. That is: