In the inequality 2x + $10,000 ≥ $70,000, x represents the salary of an employee in a school district. Which phrase most accurately describes the employee's salary?

Answers

Answer 1

Options:

A. At least $30,000

B. At most $30,000

C. Less than $30,000

D. More than $30,000

Answer:

A. At least $30,000

Step-by-step explanation:

Given the inequality :

2x + $10,000 ≥ $70,000 ;

Where x salary of an employee ;

Phrase which describes the employee's salary, x

2x + 10000 ≥ 70000

2x ≥ 70000 - 10000

2x ≥ 60000

x ≥ 60000 / 2

x ≥ 30000

Salary ,x, is greater than or equal to $30000


Related Questions

The cost $y$ (in dollars) to rent a kayak is proportional to the number $x$ of hours that you rent the kayak. It costs $27 to rent the kayak for 5 hours

Answers

Note: Consider we need to find the constant of proportionality.

Given:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

It costs $27 to rent the kayak for 5 hours.

To find:

The constant of proportionality.

Solution:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.

[tex]27=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{27}{5}=k[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].

$300 + $0.07s = $426

Answers

Answer:

0.0.0.0

Step-by-step explanation:

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An element's identity is determined by the number of

Answers

Answer:

number of protons

Step-by-step explanation:

The identity of an element is determined by the number of protons. One cannot alter the number of protons without altering the identity of the element. By adding a proton, the atomic number increases by one and the element identity changes. Number of neutrons can be altered to create isotopes.

A certain shade of paint is made by mixing 8 parts blue paint with 3 parts
white
paint. To get the correct shade, how many quarts of white paint should be mixed
with 64 quarts of blue paint?

Answers

Answer:

15 quarts

Step-by-step explanation:

Twelve large bottles of water cost $9.How many bottles can you buy for $3?

Answers

Answer: 4 large bottles of water for $3.

Step-by-step explanation: To find how many large water bottles you can buy with $3, you’ll have to divide 12 by 3 which equals to 4. You can check your answer by multiplying 4 x 3 which equals to 12, which is the original amount of large water bottles you can buy for $9.

Help solve this issue with mathematics

Answers

Answer:

last one

Step-by-step explanation:

i would say the last one, but im not sure, this one is really hard

X 2.2.PS-15
Challenge The price of Stock A at 9 A.m. was $12.96. Since then, the price has been increasing at the
rate of $0.11 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of
$0.12 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the
same?
In how many hours will the prices of birch stocks be the same?

Answers

Answer:

$6.36 would be your answer ̄へ ̄

Answer: 0.56 round to the nearest tenths which is 6. So, it’s $6

Step-by-step explanation:

Evaluate 9/12 × 6/9 Give your answer in its simplest form.

Answers

Answer:

1/2

Step-by-step explanation:

reduce 12 with 6 and 9 with 9 and your equation is now 1/2 x 1/1

you now multiply ur franction, which gives you   1/2

hope this helped :)

Which linear equations have an infinite number of solutions? Check all that apply.


(x – 3\7) = 2\3 (3\2x – 9\14 )

8(x + 2) = 5x – 14

12.3x – 18 = 3(–6 + 4.1x)

1\2(6x + 10) = 7(3\7x – 2)

4.2x – 3.5 = 2.1 (5x + 8)

Answers

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

slope of - 1/2 and y-intercept of 3 ​

Answers

Answer: 5/2

Step-by-step explanation:

What is the speed of a cheetah that travels 116 m in 3.0seconds

Answers

It would be 38 1/3 38.333 repeating.
This is because speed= distance/time

Answer:

38.6666666667

Step-by-step explanation:

speed = distance/time.

Time: 3.0

Distance: 116 miles.

116/3.0 = 38.6666666667.

I NEED THE ANSWER NOW

Answers

Answer:

The last one

Step-by-step explanation:

68/5 - 22/5 = 46/5 = 9 1/5

Answer:

Option d

Explanation:

[tex]\frac{68}{5} - \frac{22}{5} = \frac{46}{5}[/tex]

46/5 in mixed fraction is [tex]9\frac{1}{5}[/tex]

uhh yeahh don't know lol ...

Answers

Answer:

for first blank its 1/3 and second blank is 5

Step-by-step explanation:

Answer:

y=-1/3x+5

Step-by-step explanation:

BRAINLIEST PLS

What is the equation of a line passing through the point (-4, 8) that is parallel to the line y = 2x + 6

Answers

Answer:

y = 2x + 16

Step-by-step explanation:

slope is parallel and equal to y = 2x + 6

y intercept = 16

Answer:

b - y=2x+16

Step-by-step explanation:

y=y1+m(x+x1)

(-4,8)

y=8+2(x-4)

y=8+2x-8

add 8 on both sides

y=2x+16

What is the solution to the equation?
3 + 3x – 5 = r
A.
-2 and -7
B.
2 and 7
O c.
-2
D. 7

Answers

Answer: -2 and -7 i think
A -2 and -7 is the answer

Determine the solution to the equation. 8+4x=2x+8+2x

Answers

Answer: x= all real numbers.

Step-by-step explanation: Simplify the equation first. 8+4x=2x+8+2x. Add the variables on the right side. 4x+8=4x+8. Because the two sides are exactly equal, x can be all real numbers.

Answer:

8=8

Step-by-step explanation:

8+4x=2x+8+2x

combine like terms

8+4x=4x+8

subtract 4 from both sides

8=8

I HOPE THIS HELPED!!!!

Solve for x

3x−8≤23 AND −4x+26≥6

Answers

Answer:

Step-by-step explanation:

Ok so the first one is X<31/3

And the second one is X>-5


PLEASE ANSWER ASAP
Part I: Given the function ()-3./242)
A. What restriction is there on the value under the square root symbol? In other words, what can't you
do with a square root expression? (1 point)

Answers

Answer:

x - 2 ≥ 0

Step-by-step explanation:

The expression under the square root cannot be negative, thus

x - 2 ≥ 0 , that is

x ≥ 2

Can someone solve all these answers for this polynomials worksheet?

Answers

Answer:

2. 4

3. 5

4. 8

5. 9

6. 1

7. 6

8. 5

9. 7

10. 2

Step-by-step explanation:

Count the number of terms for each.  Alternately, count the number of "+" and "-", and add 1.

In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park

the Lake and the Post Office

the Apartments and Fast Food 1

Fast Food 2 and the Grocery Store

the Apartments and the Post Office

the Big Box Store and the Grocery Store

Answers

Answer:

Option (3)

Step-by-step explanation:

Option (1)

Fast food 2 and the Park → Consecutive exterior angles

Option (2)

The lake and the Post office→ Consecutive exterior angles

Option (3)

The Apartments and Fast food 1 → Consecutive interior angles

Option (4)

Fast food 2 and the Grocery store → Linear pair of angles

Option (5)

The Apartments and the Post office → Linear pair of angles

Option (6)

The Big Box Store and the Grocery Store → Consecutive interior angles

Therefore, Option (3) and Option (6) will be the correct options.

1 is 25% of what number

Answers

Answer:

4

Step-by-step explanation:

because 25% times 4 makes 100 so it is 4

The three-digit number "ab5" is divisible by 3. How many different three-digit numbers can "ab5" represent?

Answers

Answer:

30

Step-by-step explanation:

I can't prove this, but I can tell you the answer.

30.

a = 100 s  digit

b = 10 s digit

5 is always the units digit.

I'm pretty sure that 30 is the correct answer.

What an interesting question. If I find out how it is done, I'll post it in the comments.

I can say this much.

a + b + 5 must be divisible by 3.

a = 1     b = 9     + 5

a = 1     b = 6     + 5

a = 1     b = 3     + 5

a = 1     b = 0 +  5

===============

Three more are obtained by interchanging the 100s and 10s digit except for b = 0

a = 9     b=1    + 5

a = 6     b =1   + 5

a = 3     b= 1   + 5

==================

a = 2    b = 2 + 5

a = 2    b = 5  + 5

a = 2    b = 8  + 5

only 2 more are obtained by interchanging the 10s and 100s digit

=============

a = 3   b = 4    +5

a = 3   b = 7    +5

You can't go any further. You get 2 more by interchanging the b and a digits.

=============

I hope you see what I've done here. I don't think this is an exact proof, but it is an exhaustive search.

James paid 13.20 for 12 mangoes. For every 5 mangoes that he bought he got one mango free. Mary wants to by 4 mangoes from the same shop. She only has $5.10. How much more money does she need

Answers

Answer:

Mary needs $0.18 more

Step-by-step explanation:

12 mangoes = $13.20

For every 5 mangoes that he bought he got one mango free

This means he bought 10 mangoes (5 mangoes + 1 free mango the first time and 5 mangoes + 1 free mango the second time)

If James paid $13.20 for 10 mangoes, then

Each mango cost = $13.20 / 10

= $1.32

Each mango cost $1.32

Mary wants to by 4 mangoes from the same shop.

Total cost of 4 mangoes = $1.32 × 4

= $5.28

She only has $5.10.

How much more money does she need

Amount needed more = Total amount required - total amount available

= $5.28 - $5.10

= $0.18

Mary needs $0.18 more

There are 500 students in the 8th grade. Three percent were absent Friday. How many 8th graders were NOT absent Friday?

Answers

Answer:

485

Step-by-step explanation:

500/100=5

5*3=15

500-15=485

Hope this helps;)

Answer:

485

Step-by-step explanation:

if petrol cause $1.20 per gallon how much would 5 3/4 gallons cost

Answers

It would cost $6.90:)

Answer:

$6.90

Step-by-step explanation:

1.20 x (5 3/4) = 6.9

bye cus im so bad at math smh.

on top it says:
“The graph shows the amount two cleaning companies are charged based on the number of hours it takes them to clean.”
SOMEONE HELP PLS

Answers

The answer is the third one. Trust me. I don't feel like explaining.

Step-by-step explanation:

Which is the definition of a ray

Answers

all of the  lines in which light and heat may stream through from the sun or any luminous body, or pass through small openings.

Step-by-step explanation:

Answer:

Ray: Any of a set of straight lines passing through one point. Each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.

(I'm so sorry if this is wrong)

Hope this Helps!

Emily is preparing cookies for her friends she is at the market where she sees a 14 ounce bag of chocolate chips for 3.50 the market also sells a 24 ounce bag for 5.28 which size bag is better to buy

Answers

Answer:

Bag 2

Step-by-step explanation:

Given

Bag 1:

[tex]14\ ounce = 3.50[/tex]

Bag 2:

[tex]24\ ounce = 5.28[/tex]

Required

Which is a better buy

To get which buy is better, we first get the unit price of each bag.

[tex]Unit\ Price = Amount/Size[/tex]

For bag 1:

[tex]Unit\ Price = 3.50/14[/tex]

[tex]Unit\ Price = 0.25[/tex]

For bag 2:

[tex]Unit\ Price = 5.28/24[/tex]

[tex]Unit\ Price = 0.22[/tex]

The best buy is the one with smaller unit price

Hence, bag 2 is better to buy

Without multiplying, is 4 × 0.36 less
than or greater than 4? Explain its for my little sis oof

Answers

Answer:

Less

Step-by-step explanation:

Think of it like this:

Four times of 0.36

0.36 + 0.36 + 0.36 + 0.36 = 1.44

So 4 × 0.36 is less than 4

Hope I helped your little sista :)

yes 4 x 0.36 is less than 4 because when you mulitply 4 by 1 the answer is 4 so any number under that will be less than 4

Fifteen more than the square of a number is eight times the number.​

Answers

the answer to this question is 79

Answer: n = 3 or 5

n^2+15=8n

Or,

n2 - 8n + 15 = 0

(n - 3)(n - 5) = 0

So n is 3 or 5.

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