10. At a certain company, the average starting salary s for a new worker is $25,000. The actual
salary has an absolute deviation of at most $1800. Write and solve an inequality to find the
range of the starting salaries.
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Integrated Mathematics 1
57

Answers

Answer 1

Answer:

Step-by-step explanation:

Let 'x' represent the actual salary.

|x - 25,000| <= 1800

- 1,800 <= x - 25,000 <= 1,800

25,000 - 1,800 <= x <= 25,000 + 1,800

23,200 <= x <= 26,800

The range of the salary is the closed interval [23,200, 26,800].


Related Questions

please help meee i’m abt to failllllllllllll

Answers

Answer:

stop cheating boi

Step-by-step explanation:

Will give brainliest if correct.

Answers

Answer:

The equation is y = 3x + 15.

The second equation is y = 3 * 50 + 15

If you have a value of 50 berries picked, you would make 165 dollars.


Which set of ordered pairs represents a function?
A {(1, 2), (2, 3), (2, 4), (2,5)}
B {(2, 3), (3, 5), (5, 7), (7, 9)}
C {(3, 3), (3, 5), (3, 6), (4, 5)}
D {(0,1), (0, 2), (0, 3), (0,4)}

Answers

Answer:

Step-by-step explanation:

The anser would be B.

The y is allowed to repeat a number but the x cannot. If the x does repeat a number then its not a function. (X,Y)

A circuit overloads at 1800 watts of electricity you plug in a toaster that uses 800 watts of electricity write and solve an inequality that represents how many watts you can add to the circuit without overloading it.

Answers

Answer:

x ≤ 1000 W

Step-by-step explanation:

Since the circuit becomes overloaded when the load exceeds 1800W and the toaster uses 800 W.

Let the additional watts be x

Therefore;

800 + x ≤ 1800

x ≤ 1800 -800

x ≤ 1000 W


Find the length of YZ.

Answers

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The triangle is right-angle so we are allowed to use the Pythagorean theorem.

According to the Pythagorean theorem :

[tex] ({XZ})^{2} = ({XY})^{2} + ({YZ})^{2} [/tex]

[tex] {65}^{2} = {56}^{2} + ( {YZ})^{2} [/tex]

[tex] {65}^{2} - {56}^{2} = ({YZ})^{2} [/tex]

[tex]( {YZ})^{2} = 1089[/tex]

[tex]YZ = \sqrt{1089} [/tex]

[tex]YZ = 33[/tex]

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Which property was used to simplify the expression?
4(b+2) = 4b+8
distributive property
commutative property
associative property
inverse property

Answers

Answer:

distributive

Step-by-step explanation:

they took the number outside of the parentheses and multiplied by the inside

Alex bought 3 tacos for $4.00. How much would she have to pay for 10 tacos at this rate?

Answers

Answer = 13$
Explanation = This would mean each taco would be roughly 1.3$ since 4/3=1.333, so 1.3x10=13$

I need this answer ACAP, please! (Marta likes to make soup during the winter months. No matter how much soup she makes, she always freezes 32 ounces to save for later, then serves what's left).

60 divided by 32
60 plus 32
60 times 32
60 minus 32

Which one?

Answers

Answer:

60 minus 32

Step-by-step explanation:

Since she freezes 32 ozs everytime, shes taking away 32 oz, so your bassicaly losing 32 ozs temperorily.

24. Seven tenths of a number plus 14 is less than forty-nine.

Answers

Answer:

50. ☺️☺️

Step-by-step explanation:

I'm going to assume you need this inequality solved.

First, write it as numbers, not words.

7/10n + 14 < 49

where "n" is the unknown number.

Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.

7/10 = 0.7

Now, solve it like you would any other equation.

0.7n + 14 < 49

0.7n +14 - 14 < 49 - 14

0.7n < 35

0.7n ÷ 0.7 < 35 ÷ 0.7

n < 50

The answer is n < 50

Answer: 50

Step-by-step explanation:

49 - 14 = 35

35/7 = 5

10 x 5 = 50

Since, 35 is Seven tenths of a number, One tenth is 5 and there are ten tenths, One tenth which is 5 times ten since there are ten tenths equals to 50 (5 x 10 = 50).

Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch equals 3 ft. What is the area, in the square feet, of the room?

Answers

Answer: 432 ft^2

Step-by-step explanation:

If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.

Follow this up by the equation a=w*l to get

a=24*18 = 432 ft^2.

Put the steps in order?

Answers

1) distribute 2 to each term within the parentheses

2) combine like terms . ( which means you would subtract 6 - 2 )

3) subtract 4 from bout sides of the equation

4) divide both sides of the equation by 4

5)final answer x = 1/4

can someone help me answer this question please?

Answers

Answer:

A

Step-by-step explanation:

f(x) = (x + 3)(x + 2)(x - 3)

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

Graph the function . What is the missing x-coordinate for the point , to the nearest tenth?

6.1
7.3
8.4
9.5

Answers

Answer:

Your answer would be D. 9.5.

Step-by-step explanation:

Edge 2020

Answer:

The Answer is 9.5

Step-by-step explanation:

Edge 2021

What is 1 5/9 as a percent?

Answers

Answer:

1 and 55%

Step-by-step explanation:

Five divided by nine.

50% of 320 is equal to 80% of what number?

Answers

Answer:

128

Step-by-step explanation:

Not long after he begins to study algebra he will likely meet with the "tank" problems, the "labor" problems and many other puzzle problems. He finds these problems carefully phrased in the language of practical mathematics. However, a study of the original problems and the fanciful way in which they were stated will reveal the fact that they were originally intended mostly for puzzles. The present-day student of algebra would doubtless work as industriously over the so-called practical problems if he were told they were puzzle problems that his predecessors had worked on for the past 1600 years.

The problems given below are selected from a collection made by Metrodorus about 310 A. D. found in The Greek Anthology. It is not known how much farther back they date. It will not be difficult for the reader to trace many of the problems found in the present-day algebras back to their original source. He may judge for himself as to whether the modern text-book writer has improved the problems by leaving off the little fanciful touches of rhetoric, found in the original.

The original problems were solved by rhetorical algebra as our symbols, +, -, ×, ÷, etc., were introduced many centuries later, about 1540.

Answers

Answer:

wow thats some good information there!

Step-by-step explanation:

Which statement is Irue about the given information?
+
B
с
DE

Answers

Answer:

b

Step-by-step explanation:

awnser 3

both are congrent

Terry has $5.79 to go shopping Which mixed number below is the fraction equivalent to $5.79? 500 a 5 79/100 b. 5 79/1000 57 9/100 d 57 9/10​

Answers

Answer:

579/100 is the same if u turned it into a decimal it would be 5.79

Step-by-step explanation:

you would do 579 divided by 100 and that will give you 5.79  

Answer:

the answer is 579/100

Step-by-step explanation:

HELP!! BRAINLIEST AND 10 POINTS !!!! THANK YOU SO MUCH

Answers

Answer:

B and C

Step-by-step explanation:

BRAINLIEST PLEASE

There is 1500 ft of fencing available to make 6 identical pens. Find the maximum area for EACH pen (meaning maximum of one pen).​

Answers

Answer:

The maximum area is therefore is 93750 ft²

Step-by-step explanation:

The given parameter are;

The a]length of fencing available = 1500 ft.

The perimeter of the figure = 9·x + 4·y

Therefore, 9·x + 4·y = 1500 ft.

The area of the figure = 6 × (x × y) = 3·x × 2·y

From the equation for the perimeter, we have;

9·x + 4·y = 1500

y = 1500/4 - 9/4·x = 375 - 9/4·x

y = 375 - 9/4·x

Substituting the value of y in the equation for the area gives;

Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²

Area = 2250·x - 27/2·x²

The maximum area is found by taking the derivative and equating to zero as follows;

d(2250·x - 27/2·x²)/dx = 0

2250 - 27·x = 0

x = 2250/27 = 250/3

x = 250/3

y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5

The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²

The maximum area is therefore = 93750 ft.²

Marco went to the cafeteria to buy chicken sandwiches, C, worth $2.00, and hamburgers, h, worth $2.50.
He bought a total of 9 items and spent a total of $20.50. How many hamburgers and chicken sandwiches
did Marco buy?
HELP

Answers

Answer:

5 Hamburgers  = $12.50 4 Chicken sandwiches $8.00( $12.50 + $8.00 = $20.50

Step-by-step explanation:

Answer:

Marco bought 5 hamburgers and 4 chicken sandwiches.

Step-by-step explanation:

Set up a system of equations:

2c + 2.5h = 20.5

c + h = 9

Solve by elimination by multiplying the bottom equation by -2:

2c + 2.5h = 20.5

-2c - 2h = -18

Add the equations together and solve for h:

0.5h = 2.5

h = 5

So, he bought 5 hamburgers. Plug in 5 as h into the second equation to solve for c:

c + h = 9

c + 5 = 9

c = 4

So, Marco bought 5 hamburgers and 4 chicken sandwiches.

Write an equation that could be used to find three consecutive odd integers whose sum is -3

Answers

Answer:

          2x+1 + 2x+3 + 2x+5 = -3

Step-by-step explanation:

2x+1       - the first odd integer

2 x+1 + 2 = 2x+3   - the next odd integer consecutive to 2x+1

2x+3+2 = 2x+5 - the odd integer consecutive to 2x+3 (the third consecutive odd integer)

2x+1 + 2x+3 + 2x+5  - the sum of three consecutive odd integers

therefore the equation:

                                     2x+1 + 2x+3 + 2x+5 = -3

6x + 9 = -3

6x = -12

x = -2

2x+1=2(-2)+1=-3

2x+3=2(-2)+3=-1

2x+5=2(-2)+5=1

the three consecutive odd integers whose sum is -3 are: -3,-1,1

Help please! Thanks!

Answers

Answer:

50

Step-by-step explanation:

120 +angle1 = 180  angle 1 is 60   70+60+angle2 should be equals 180 so 2 is 50 degree

1 is 60 degree 3 is 80 degree 4 is 100 degree 2 is 50 degree

60+40 +angle3 = 180 angle3 is 80  

3+4 should be equal 180 3 is 80 180-80= 100 4 is 100

Noa was paid a 25 percent commission for selling a used car.

Percents
Total

100%


If she was paid $1,631.24, what was the selling price of the car?
$4,078.10
$6,524.96
$8,156.20
$40,781.00

Answers

Answer:

$6,524.96

Step-by-step explanation:

His quarter commission times four is the awnser

Answer:

BHOPE THIS HELPS

Solve the equation for y , (REDUCE IF POSSIBLE, AND WRITE YOUR ANSWER IN THIS FORM; y=mx+b).

−6x+y=18

Answers

Answer:

y=6x+18

Step-by-step explanation:

add the -6x to the other side to get y alone

Answer:

-6x + y = 18 reduced is -2x + y = 2

Step-by-step explanation:

it is called the Hamber Pickering Formula according to STUIPDPEDIA LOL!

The ratio of the sides of two similar rectangles is 3:5. The larger rectangle has an area of 36 sq. cm. What is the area of the smaller rectangle?

Answers

Answer:

21.6 sq cm

Step-by-step explanation:

3:5

x:36

cross-multiply because they are in proportion

x*5=3*36

divide both sides by 5

x= 3*36/5=21.6

Correct 25.0457 to 2 significant figure

Answers

9514 1404 393

Answer:

  25.

Step-by-step explanation:

The first two significant figures are 2 and 5. The next figure is 0, so we don't need to round up. The number to 2 significant figures is 25.

HELP PLEASE
3. A child swims 50 yards in 50 seconds.
How many FEET can she swim per second?

Answers

Answer:

3 ft.

Step-by-step explanation:

They swim 1 yard a second and 1 yard = 3 ft.

help plz (I give you brainlist)

Answers

Answer:

58.3825

Step-by-step explanation:

Add all 4 numbers together and divided by how many numbers are there (4)and you get your answer

Emie read that the movie made 25,992,412.50 in its third week he also read that the average ticket price for this week was 8.35how many people saw the movie this week

Answers

Given :

Collection in third week, C = $25,992,412.50 .

Average ticket price, T = $8.35 .

To Find :

Number of people who saw movie in  week.

Solution :

Let, number of people are x.

[tex]\text{Number of people }=\dfrac{\text{Total amount }}{\text{Average price}}\\\\= \dfrac{25,992,412.50 }{8.35}\\\\[/tex]

≈ 3112864

Therefore, around 3112864 people saw the movie this week.

Hence, this is the required solution.

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