Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional developement for the year were $3,500. Which of the following represents his total employment compensation? a. $46,650 b. $47,650 c. $50,150 d. $53,650 Please select the best answer from the choices provided A B C D (Not D)

Answer:

Step-by-step explanation:

If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).

Given

<PQR = 3x-6

<RQS = x+ 2

To get x, we will use the relationship above;

3x-6+x+2 = 180

4x-4 = 180

add 4 to both sides

4x-4+4 = 180+4

4x = 184

x = 184/4

x = 46

Since <PQR = 3x-6, we will substitute the value of x into the formula;

<PQR = 3x-6  

<PQR = 3(46)-6

<PQR = 138-6

<PQR = 132°

Hence the size of angle PQR is 132°

Answer:

A, B, C

Step-by-step explanation:

Velocity is the only option that has both distanace and direction.

The required liters of hot chili papers collected in a week is 98.56 liters.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

1 peck = 8.8 liters
1.6 peck = 8.8 × 1.6 liters
1.6 pecks = 14.08 liters

So, in 1-week liter that could be collected is given as,
⇒ 14.08 × 7 [1 week = 7 days]
⇒ 98.56 liters

Thus, the required liters of hot chili papers collected in a week is 98.56 liters.

Learn more about measurement here:

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it it is 30 little one

Answer:

x = 3/2

Step-by-step explanation:

x = 3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

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

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2

Answer:

36km/h

hope this helps!

Answer:

Step-by-step explanation:

sum of ratio=6+4+3=13

let the total price of houses=x

then

[tex]\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000[/tex]

Answer:

B

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

APEX

This on the web one-way conversion tool converts volume or capacity units from milliliters ( ml ) into cubic feet ( ft 3 , cu ft ) instantly online. 1 milliliter ( ml ) = 0.000035 cubic feet ( ft 3 , cu ft ). How many cubic feet ( ft 3 , cu ft ) are in 1 milliliter ( 1 ml )? How much of volume or capacity from milliliters to cubic feet, ml to ft³ , cu ft?

hope this helps!

Answer: y=-6x-7

Step-by-step explanation:

Slope-intercept form is y=mx+b. This means, we want to isolate y.

18x+3y=-21                   [subtract both sides by 18x]

3y=-18x-21                    [divide both sides by 3]

y=-6x-7

Now, our equation is in slope-intercept form.

Answer:

25 years old

Step-by-step explanation:

Let the teacher's age be a.

Then:

a^2 - 23a = 50

In standard form, this quadratic is

x^2 - 23a - 50 = 0

Factoring this, we get (x - 25)(x + 2) = 0

So a is either 25 or a is -2.  Only a = 25 is relevant here.

The teacher is 25 years old (Answer G)

Answer:

1/72

Step-by-step explanation:

Given that Ashley rolls a die, flips a corner, and then roll the die again.

Since he rolls a die two times, the number of total possible outcomes for each roll will be equal to 6

Also, the number of possible outcomes for a coin will be equal to 2

What is the probability that he will roll to our numbers And that the coin will land on heads

The probability will be

1/6 ×1/6 × 1/2 = 1/72

Answer:

Yes, it is!

Step-by-step explanation:

Answer:

if ∠Q=∠R

draw an angular bisector from P to QR in which it intersect wit Qr at point S

now we have two triangle : QPS and RSP

in which angle : QPS=RPS ( PS is angular bisector)

and we have angle Q and angle R are equal

and PS is common side

this makes triangle QPS and RSP are congruent by AAS(angle angle side)

which also means that pQ=PR ( proved)

Answer:

third option

Step-by-step explanation:

Using the rule of radicals

[tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\frac{\sqrt{-12} }{\sqrt{6} }[/tex] = [tex]\sqrt{\frac{-12}{6} }[/tex] = [tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex] = i[tex]\sqrt{2}[/tex]

Answer:

  $15.75

Step-by-step explanation:

You can do this a couple of ways.

(1) Compute the tax, and add it to the price to find the total.

  5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax

Then the total cost is $15 + $0.75 = $15.75.

__

(2) Add the percentage to 100% and use that to multiply the cost.

  total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05

  total cost = $15.75

Answer:

200m/s

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:

2/3

Step-by-step explanation

(6 times 10)-0

___________

          9

6/9= 2/3

Step-by-step explanation:

x^2=9/49

√x^2=√9/49

x=+or-3/7

Answer:

x = 32

Step-by-step explanation:

x/4 = 8

<=> x = 8 . 4

<=> x = 32

Answer:

Correct Answer: Option A

Step-by-step explanation:

cos(x + 25o) = sin 45o

using cos θ = sin(90 - θ)

cos(x + 25o) = cos(90 - 45)

cos(x + 25o) = cos 45

x + 25 = 45

x = 45 - 25

x = 20o

Hope it helps ♡＾▽＾♡

Answer:-2 + 3i/2, and -2-3i/2

Step-by-step explanation:

Apply the quadratic formula.

We have (-16 +-sqrt(16^2-4*4*25))/8.

Simplifying, we have (-16+-12i)/8.

Thus, the roots are -2 + 3i/2, and -2-3i/2

Answer:

The roots are

Step-by-step explanation:

4x² + 16x + 25 = 0

Using the quadratic formula

That's

From the question

a = 4 , b = 16 , c = 25

Substitute the values into the above formula and solve

We have

Separate the real and imaginary parts

That's

We have the final answer as

Hope this helps you

Answer:

c

Step-by-step explanation:

35/2=17.5 *2= 35+35+35= 105

6.5% of 105 is 6.83, so 105+ 6.83= 111.83

Answer:

2

Step-by-step explanation:

Answer:

your awnser would be C

Step-by-step explanation: