A company has $36,000 to hire a mathematician and his or her secretary. Out of respect for the mathematician's training, the mathematician will be paid $8000 more than the secretary. How much will each be paid

Answers

Answer 1

The money paid to the secretary is $14000 and the money paid to mathematician is $22000.

What is an equation?

A mathematical statement that establishes the equality of two mathematical expressions is the called an equation.

Total money available for hiring = $36000

Let the money given to secretary = X

Money given to the mathematician = X + 8000

X + (X + 8000) = 36000

2X = 28000

X = 14000

Money given to secretary is $14000.

Money given to the mathematician is $22000.

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Related Questions

316 students went on a field trip. Six buses were filled and 10 students traveled in cars. How many students
were in each bus?

Answers

Answer:

51

Step-by-step explanation:

316-10= 306

306 divided by 6 = 51

Polar bears eat 8.4 pounds of fish a day. Penguins eat about 0.80 of that amount. How many pounds if fish do penguins eat?

Answers

6.72

8.4 * .8 = 6.72

Hope this helps
6.4 pounds, please mark me brainliest if I’m correct

- A unicycle tire has a radius of 13 inches. About how far will the unicycle travel in 20 rotations?
F.1633 inches
G.10,613 inches
H.82 inches
J.520 inches

Answers

Answer:

1061.32  you made a typo on G

Step-by-step explanation:

To find the distance travelled by the tire we need the circumference of it

The formula for circumference is 2πr we know pi is roughly 3.14 and the radius is 13

we plug the numbers in and get

2* 3.14* 13

6.28*13

81.64

81.64 is the circumference, now we simply just multiply 81.64 by 13 to get 1061.32

Im guessing number G was supposed to be 1061.32 instead of 10,613

Angel repairs used furniture. He expects to use 48 oz of wood filler this month. There are 16 oz in 1 lb. How many pounds of wood filler does Angel expect to use this month?

Answers

Answer: 3

Step-by-step explanation:

48 divided by 16 is 3

The number of pounds expected to use this month is 3 pounds.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

16 oz = 1 lb

Multiply 3 on both sides.

48 oz = 3 lb

Thus,

3 pounds of wood is in 48 oz.

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Please answer this!!!
Will be Brainlist!!!

Answers

Answer:

show the question

sorry

Step-by-step explanation:

plz follow me

Answer:

1) а 2)b

вот правильный ответ

For questions 7 and 8 find the unknown angle.

Answers

Answer:

58 degrees for Question 7, and 71 degrees for Question 8

Step-by-step explanation:

For question 7:

180 - 99 = 81

81 + 41 = 122

180 - 122 = 58

For Question 8:

142 / 2 = 71

Answer: 7) 58 degrees 8) 71 degrees

Step-by-step explanation:

7) 41 + x = 99 degrees (the two interior opposite angle is equal to the exterior angle)

subtract 41 on both sides

x = (99 - 41) degrees

x = 58 degrees

8) x + x = 142 degrees

2x = 142

divide 2 on both sides

x = 71 degrees

A rectangle has a length of (x + 6) units and a width of (x - 5) units. What is the area of the rectangle in terms of x?

Answers

Answer:

Area = x2 +x - 30

Step-by-step explanation:

area = length x width

(x+6) (x-5) = x2 +6x -5x -30  =  x2 + x -30

plz answer.

6-x=13. ​

Answers

Answer:

x=-19

Step-by-step explanation:

Answer:

6-x=13

6-13=x

x=6-13

x=-7

Find the slope of a graph
I'll GIVE BRAINLESS

Answers

Answer: 5/4

Step-by-step explanation:

Which linear inequality best represents the graph shown?

Answers

Answer:

B

Step-by-step explanation:

Pedro tiene 335 en monedas de 5 y de 10, si en total tiene 52 monedas ¿cuantas monedas tiene de cada una?

ayuda por favor​

Answers

Answer:

37 monedas de $5 y 15 monedas de $10

Step-by-step explanation:

37 x 5 = 185

15 x 10 = 150

185 + 150 = $335

please help me with this

Answers

Answer:

D. [tex]\sqrt{250}[/tex]

Step-by-step explanation:

First, use prime factorization of 250 to get [tex]\sqrt{2*5^3}[/tex]

Then apply the exponent rule, [tex]a^{b+c} =a^{b}*a^{c}[/tex]

=[tex]\sqrt{2*5^2*5} }[/tex]

Apply radical rule: [tex]\sqrt{ab}= \sqrt{a} \sqrt{b}, a\geq 0, b\geq 0[/tex]

=[tex]\sqrt{5^{2}} \sqrt{2*5}[/tex]

Apply radical rule: [tex]\sqrt{a^{2}} =a, a\geq 0[/tex]

=5[tex]\sqrt{2*5}[/tex]

=5[tex]\sqrt{10}[/tex]

Answer:

D. I did the math on my calculator

Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
Has to be a movie!


You can choose

A. Hunger Games

B. Men in Black

C. Classic Horror Movies

D. Jurassic Park


OR!!

Awnser With your own suggestion!!!!!!!

Answers

Hunger games or go with the person’s favorite movie or show :)

Answer:

C

Step-by-step explanation:

CLASSIC HORROR MOVIES

pls help me with this I have to go to bed soon( I need the volume of the sphere)

Answers

Volume= 4/3πr^3

r = 18m

Volume = 4/3*3.14*18^3

Volume = 4/3*3.14*5832

Volume= 24416.639999 m^3

Find the point-slope equation for the line that passes through the points (-6, 24) and (5, -31). Use the first point in your equation. y - [?] = [ ](x-[ ])​

Answers

It should be y1 - y2/x1 - x2 this is supposed to be a fraction


I end up getting -31 - 24/5 + 6 or -31 -24/5 - (-6)

A clothing store sells clothing for 2 times the wholesale plus $10. The store sells a pair of pants to customers for $48. How much did the store pay wholesalefor the pants?

Answers

Answer:

19$

Step-by-step explanation:

Let w represent the wholesale cost of the pants, or the price paid by the store

2w + 10 = 48 Subtract 10 from both sides.

2w = 38 Divide both sides by 2.

w = 19

Answer the following question in *full sentences*

What does the equation 100+0.05p=0.25p represent?

Answers

The value of "p" will be "0.002".

Equation:

According to the question,

[tex]100+0.05p=0.25p[/tex]

By subtracting "0.25p" from both sides, we get

→ [tex]100+0.05p-0.25p=0.25p-0.25p[/tex]

                 [tex]100-0.2p=0[/tex]

                            [tex]100=0.2p[/tex]

                               [tex]p = \frac{0.2}{100}[/tex]

                                  [tex]= 0.002[/tex]

Thus the above approach is right.

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Can you answer this for 20 points? With which countries was France at war in 1792 and 1793?

Answers

Answer:

They pitted France against Great Britain, the Holy Roman Empire, Prussia, Russia, and several other monarchies. They are divided in two periods: the War of the First Coalition (1792–97) and the War of the Second Coalition (1798–1802)

Step-by-step explanation:

A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE

Answers

Answer:

≈ 7

Step-by-step explanation:

can someone help me out?
"match each equation with its three solutions"​

Answers

Answer:

Step-by-step explanation:

A. (1)

B. (4)

C. (2)

D. (5)

E. (3)

Give the least common denominator: 3/4, 7/8 _____

Answers

Step-by-step explanation:

step 1. LCD of 3/4 and 7/8 is 8.

Find the equation of the line that passes through both points (6,-5) (0,3)

Answers

Answer:

y = -4/3x + 3

Step-by-step explanation:

I NEED HELP NOW ITS DUE TODAY AND I HAVE MORE AHHHHHHHHH
Lin needs to save up $20 for a new game. How much money does she have if she has saved 25% of her goal?

Answers

Answer:

She has $5

Step-by-step explanation:

5$ if it helps with any other questions you can search for example what is ——% of —— and you will get the answer easier
Hope this helps!

PLEASE HELP!! WILL MAKE BRAINLIEST!! What is..... 3.064 x 1,000

Answers

Answer: 3,064

The easiest way to solve (in my opinion) is to move the decimal to the right the number of zeros.

So, because 1,000 has 3 zeros you can move the decimal place to right 3 places. The 3.064 will become 3,064 then.

Rearrange p=r+3 to make r the subject

Answers

Answer:

r = p-3 this is correct answer of this question

The equation  p=r+3 can be rearranged as r=p-3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is p=r+3

p equal to r plus r

Plus is the operator of addition and p and r are variables

Subtracting 3 from both sides, we get:

p - 3 = r + 3 - 3

Simplifying the right-hand side:

p - 3 = r

Therefore, r = p - 3.

Hence, the equation  p=r+3 can be rearranged as r=p-3

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The y-intercept of the the inverse of the function f(x) = 1/4 x-9/4 is

Answers

Answer:

Since f(x) is a linear equation the graph of f(x) is a line with a slope of –3/4 and a yintercept of (0, 2). In looking at the graph, you can see that ...

Look at the arithmetic sequence below and select the correct recursive and explicit formula for the sequence.

-1, 3, 7, 11...



Recursive Formula: Response area

Explicit Formula:

Answers

Answer:

+4 each time

Step-by-step explanation:

The entire digits of pie times the square root of 1

Answers

Answer:

3.1415926

Step-by-step explanation:

3.1415926 * 1 = 3.1415926

Answer:

g4 bk.58i

Step-by-step explanation:

The coordinates of the vertices of △UVW are U(−2,−1), V(2,−1), and W(2,−8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Answers

Answer:

UV = 4; VW = 7, UW ≈ 8.06

m∠V = 90°, m∠U ≈ 60°, m∠W ≈ 30°

Step-by-step explanation:

Using the distance formula, find the length of UW⎯⎯⎯⎯⎯⎯⎯.

UW=(2−(−2))2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UW=(4)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

UW=16+49‾‾‾‾‾‾‾√

Simplify.

UW=65‾‾‾√

Use a calculator to approximate.

UW≈8.06

Therefore, UW≈8.06.

Using the distance formula, find the length of UV⎯⎯⎯⎯⎯⎯.

UV=(2−(−2))2+(−1−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UV=(4)2+(0)2‾‾‾‾‾‾‾‾‾‾√

Square.

UV=16+0‾‾‾‾‾‾√

Simplify.

UV=16‾‾‾√

Simplify.

UV=4

Therefore, UV=4.

Using the distance formula, find the length of VW⎯⎯⎯⎯⎯⎯.

VW=(2−2)2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

VW=(0)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

VW=0+49‾‾‾‾‾‾√

Simplify.

VW=49‾‾‾√

Simplify.

VW=7

Therefore, VW=7.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. The length of segment U V is 4 units. The length of segment V W is 7 units. The length of segment U W is 8.06 units.

Notice that UW2=UV2+VW2. So, by the Converse of the Pythagorean Theorem, △UVW is a right triangle.

Since VW⎯⎯⎯⎯⎯⎯ and UV⎯⎯⎯⎯⎯⎯ are perpendicular, m∠V=90°.

Therefore, m∠V=90°.

By the definition of tangent, tan∠U=VWUV.

Take the inverse tangent of both sides.

m∠U=tan−1(VWUV)

Substitute 7 for VW and 4 for UV.

m∠U=tan−1(74)

Use a calculator to calculate the inverse tangent.

The figure shows a calculator screen on which the inverse tangent of seven fourths is calculated. The result of the calculation is 60 point 2 5 5 1 1 8 7.

m∠U≈60°

Therefore, m∠U≈60°.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. Angle V is a right angle. Angle U measures 60 degrees.

The acute angles of a right triangle are complementary by the corollary of the Triangle Sum Theorem.

So, m∠U+m∠W=90°.

Substitute 60° for m∠U.

60°+m∠W≈90°

Subtract 60° from both sides.

m∠W≈90°−60°

Simplify.

m∠W≈30°

Therefore, m∠W≈30°.

In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?

Answers

Answer:

I. Exponential Growth. (1 ) t y C r. = +. Final. Amount. Initial. Amount. Rate of ... value increases by 7% each year. ... Step 1 Write the exponential growth function for this ... nearest hundredth. ... The population after 7 years will be approximately 38,783 people. ... Cesium-137 left from a 100 milligram sample after 180 year

Step-by-step explanation:

i think  its right  if not have  a  great  day

Answer:

9800

Step-by-step explanation:

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