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3241004551 [841]
3 years ago
12

How much is a corrections officer's average weekly pay if he receives $38,970 annually?

Mathematics
1 answer:
algol133 years ago
7 0

Amount the correction officer receives annually = $38970

There are 52 weeks in a  year.

So, the officer receives 38970 in 52 weeks.

Average = total pay annually/number of weeks in a year

Hence, in 1 week he receives= \frac{38970}{52}

= 749.42

Hence, the officer's average weekly pay is $749.42

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identify an equation in point-slope form for the line parallel to y=-2/3x+8 that passes through (4,-5)
MariettaO [177]

Answer:

y +5 = (-2/3)(x -4)

Step-by-step explanation:

The point-slope form of an equation of a line with slope m through point (h, k) is ...

... y -k = m(x -h)

You have (h, k) = (4, -5) and a slope the same as that of the parallel line, m = -2/3. Then the equation is ...

... y -(-5) = (-2/3)(x -4)

... y +5 = (-2/3)(x -4)

7 0
3 years ago
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.
kolezko [41]
The correct question is
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. What is the volume of the composite figure<span>?
</span>
the complete question in the attached figure

we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³

[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³

[volume of a the composite figure]=[volume of a cone]+[volume of a <span>a triangular prism]

</span>[volume of a the composite figure]=[715]+[2750]-------> 3465 units³

the answer is
The volume of a the composite figure is 3465 units³

4 0
3 years ago
Read 2 more answers
If the length of room is four times the height and breadth is twice of its height and the volume of the room is 512 m^2 find its
lisov135 [29]

Let  \: x  \: (x>0)  \: be \:  the \:  height \Rightarrow the \: width, length: 2x,4x \\ Volume:V=hwl = 512 \\ \Leftrightarrow x2x4x = 512 \\ \Leftrightarrow 8{x }^{3}  = 512 \\\Leftrightarrow  {x}^{3}  = 64 \\ \Leftrightarrow x = 4 \\ \Rightarrow The \:  height \: is \: 4 \: m, the \: width \: is \: 8 \: m

8 0
3 years ago
Convert 0.2 m^ 3 , into c * m ^ 3​
melisa1 [442]

Step-by-step explanation:

{m}^{3}  =  {cm}^{3}  =  \div {10}^{6}

0.2m^3 = 0.0000002 cm^3

3 0
2 years ago
David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each and some sour candies. Each sour candy costs $0.2
Agata [3.3K]

Answer:

5 ≥ 9*.15 + x*.25

He can buy up to 14 candies

Step-by-step explanation:

Total money ≥number of peppermints * cost per peppermint + number of sour candies * cost per sour candy

We know he has 5 dollars.  He bought 5 peppermints at $.15 cents each and x sour candies at $.25 each

Substituting in

5 ≥ 9*.15 + x*.25

5≥1.35 + .25x

Subtract 1.35 on each side

5-1.35 ≥ 1.35-1.35+.25x

3.65≥.25x

Divide by .25 on each side

3.65/.25 ≥ .25x/.25

14.6 ≥ x

He can buy up to 14 candies.  You can't buy part of a candy

6 0
3 years ago
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