1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna71 [15]
3 years ago
11

Mary has to spend $18000 on expenses each year.if that amount of money 40% of her salary then how much does Mary make working as

an afministrator per year round your answer to the nearest whole number if necessary
Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Answer:

40% × ? = 18,000

? =

18,000 ÷ 40% =

18,000 ÷ (40 ÷ 100) =

(100 × 18,000) ÷ 40 =

1,800,000 ÷ 40 =

45,000


You might be interested in
A ​6000-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performa
ss7ja [257]

Answer:

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

Step-by-step explanation:

A ​6000-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of ​$​185,400?

Let

x = number of tickets sold for $26

y = number of tickets sold for $40

x + y = 6000

x = 6000 - y

$26 × x + $40 × y= $185, 400

26x + 40y = 185400

Substitute

26(6000 - y) + 40y = 185400

156000 - 26y + 40y = 185400

Collect like terms

- 26y + 40y = 185400 - 156000

14y = 29400

y = 29400/14

y = 2100 tickets

x = 6000 - y

x = 6000 - 2100

x = 3900 tickets

Hence

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

5 0
3 years ago
Describe the steps you would use to factor 2x3 + 5x2 – 8x – 20 completely. Then state the factored form.
WARRIOR [948]
The polynomial 2x^3 + 5x^2-8x-20 may have solutions which are the divisors of -20, therefore -20 has the following divisors: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.
If x=1, then 2\cdot1^3 + 5\cdot1^2-8\cdot1-20=-20\neq 0,
if x=-1, then 2\cdot(-1)^3 + 5\cdot(-1)^2-8\cdot(-1)-20=-9\neq 0,
if x=2, then 2\cdot2^3 + 5\cdot2^2-8\cdot2-20=0, then x=2 is a solution and you have the first factor (x-2). 
If x=-2, then 2\cdot(-2)^3 + 5\cdot(-2)^2-8\cdot(-2)-20=0, then x=-2 is a solution, so you have the second factor (x+2).
Since x-2 and x+2 are two factors of 2x^3 + 5x^2-8x-20 , then the polynomial x^2-4 is a divisor of 2x^3 + 5x^2-8x-20 and dividing the polynomial 2x^3 + 5x^2-8x-20 by x^2-4 you obtain 
 2x^3 + 5x^2-8x-20=(x-2)(x+2)(2x+5).











5 0
3 years ago
Read 2 more answers
Presley and Lakira sell cookies. Presley sold 5 less than twice as many cookies as LaKira. If LaKira sold 16 cookies, how many c
soldi70 [24.7K]
27. twice as many as 16 would be 32 and 32-5 is 27
5 0
3 years ago
What is the value of x?
cestrela7 [59]
-3x-1 = 2-(-3)
-3x-1 = 2+3
-3x-1 = 5
-3x = 5+1
-3x = 6
x = 6/(-3)
x = -2 
6 0
3 years ago
Which of the following is a like radical to RootIndex 3 StartRoot 7x EndRoot?
lana [24]

Answer:

A. 4 (RootIndex 3 StartRoot 7 x EndRoot)  or 4(\sqrt[3]{7x})

Step-by-step explanation:

Given:

A radical whose value is, r_1=\sqrt[3]{7x}

Now, we need to find the like radical for r_1.

Let the like radical be r_2.

As per the definition of like radicals, like radicals are those that can be expressed as multiples of each other.

So, if two radicals r_1\ and\ r_2 are like radicals, then

r_1 = n \times r_2


Where, 'n' is a real number.

Here, r_1=\sqrt[3]{7x}

Now, let us check all the options .

Option A:

4 (RootIndex 3 StartRoot 7 x EndRoot) or r_2=4\sqrt[3]{7x}

Now, we observe that r_2 is a multiple of r_1 because

r_2=4\times \sqrt[3]{7x}\\\\ r_2=4\times r_1..............(r_1=\sqrt[3]{7x})

Therefore, option A is correct.

Option B:

StartRoot 7 x EndRoot or r_2=\sqrt{7x}

As the above radical is square root and not a cubic root, this option is incorrect.

Option C:

x (RootIndex 3 StartRoot 7 EndRoot) or r_2=x\sqrt[3]{7}

As the term inside the cubic root is not same as that of r_1, this option is also incorrect.

Option D:

7 StartRoot x EndRoot or r_2=7\sqrt{x}

As the above radical is square root and not a cubic root, this option is incorrect.

Therefore, the like radical is option (A) only.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the mean for the given set of data.
    15·2 answers
  • Angela invested $15,000 in a savings account. If the interest rate is 4%, how much will be in the account in 10 years by each me
    11·1 answer
  • The length of a swimming pool is 20 1/4 yards. The area of the pool's surface is 256 1/2 square yards. Jeremy is trying to find
    9·1 answer
  • PLZZZZZZ HELP ME I WILL MAKE YOU BRAINIEST
    14·2 answers
  • 4y2 - 2x + 7 + 2y for x = 7 and y =2.
    13·1 answer
  • In the diagram below, points A and B represent two airplanes. How far apart are the airplanes?
    10·1 answer
  • What are the coordinates of C?
    15·1 answer
  • Bobby's dad is 41 and is 6 more than 5 times Bobby's age. Bobby's little sister Emma is one less than half his age. How old are
    7·1 answer
  • Write the number in scientific notation (question) ​
    5·1 answer
  • Does anyone know the answer for this problem :P
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!