Can anyone help me ASAP!

Answer:

Let's make each of these workers' salaries a variable. For our purposes:

x = the annual salary of the warehouse manager

y = the annual salary of the office manager

z = the annual salary of the truck driver

*Since all of our variables describe an "annual salary" in dollars, we do not have to perform unit conversions.

From the sentence, "The sum of the annual salaries of the warehouse manager and office manager is $75000," we can derive the equation:

warehouse manager + office manager = 75000

x + y = 75000

From this sentence, "The sum of the  annual salary of the office manager and the truck driver is $75000," we get:

office manager + truck driver = 75000

y + z = 75000

Finally, since "The annual salaries of the warehouse  manager and the truck driver total $70000," we know that:

warehouse manager + truck driver = 70000

x + z = 70000

From the above equations, we can create a system of equations to reach the solution.

x + y = 75000

y + z = 75000

x + z = 70000

Using the substitution method and basic algebra, this question is easy! Let's solve for x, the warehouse manager's salary, first:

x + z = 70000

z = 70000 - x

y + z = 75000

y + (70000 - x) = 75000

y + 70000 - x = 75000

y - x = 5000

y = 5000 + x

x + y = 75000

x + (5000 + x) = 75000

x + x + 5000 = 75000

2x + 5000 = 75000

2x = 70000

x = $35000 = warehouse manager's annual salary

Now that we have solved for one of the variables, we can substitute our answer back in to get a quicker result:

x + z = 70000

(35000) + z = 70000

z = 35000$ = truck driver's annual salary

y + z = 75000

y + (35000) = 75000

y = $40000 = office manager's salary

So, our answers would be that:

The warehouse manager's annual salary is $35000.

The office manager's annual salary is $40000.

The truck driver's annual salary is $35000.

The answer is 845.31 rounded is 345.31

Answer:

±√5 are the solutions to x^2=5

Step-by-step explanation:

Write out x^2=5.  Now enclose each of the two sides in parentheses.  Apply the exponent (1/2) to both sides:

(x^2)^(1/2) = (5)^(1/2)

The left side simplifies to x and the right side to ±√5.

So ±√5 are the solutions to x^2=5.

Answer:

a. r² = 0.8555148135 so...

r = 0.9249... or 0.92

b. a correlation coefficient of 0.92 indicates a strong positive association between the two data sets

Answer:

$3864

Step-by-step explanation:

Answer:

12x62=$744 for 62 packs of Expo markers

Answer:

no

Step-by-step explanation:

Let:

let x be apples

let y be bananas

System of equations

3x + 4y = 6.50

10x + 5y = 17.50

Answer:

Step-by-step explanation:

SP is 3750

First case, 25% gain with CP of x:

Gain amount:

Second case , 25% loss with CP of x:

Loss amount:

Total loss is the difference between gain and loss:

Answer:

Slope: 8

Intercept: 134

Answer:

(- 1, 3 )

Step-by-step explanation:

y = - x + 2 → (1)

3x - y = - 6 → (2)

Substitute y = - x + 2 into (2)

3x - (- x + 2) = - 6 ← distribute parenthesis and simplify left side

3x + x - 2 = - 6

4x - 2 = - 6 ( add 2 to both sides )

4x = - 4 ( divide both sides by 4 )

x = - 1

Substitute x = - 1 into (1)

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

solution is (- 1, 3 )

Answer:

Equation:

y = x+1

Distance Equation:

sqrt[x^2 + y^2] = 5

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

Substitue for "y" and solve for "x":

sqrt[x^2 + (x+1)^2] = 5

x^2 + x^2 + 2x + 1 = 25

2x^2 + 2x -24 = 0

x^2 + x - 12 = 0

Factor:

(x+4)(x-3) = 0

x = 3 miles (eastbound distance)

x+1 = 4 miles (southbound distance)

Step-by-step explanation:

Answer:

$38.47

Step-by-step explanation:

You have to subtract $85.99 and $47.52.  The answer is $38.47..

I hope this helps!!

Answer:

option B is correct answer.

Step-by-step explanation:

Alternate exterior angles are <1 and <8.

hope this helps you.

Answer:

wwwwwwwwwwwwwwwwwwww

Answer:

the y-intercept is (0, -6)

Step-by-step explanation:

Answer:

24 cm

Step-by-step explanation:

you add 3+3=6

next add 6+4=10

next add (5+5)+10=20

finally you add 20+4=24

Answer:

4 ft

Step-by-step explanation:

You need to divide that 200 ft among those 50 sections to get what amount of feet goes into each section.

Answer:

x=1

Step-by-step explanation:

64.50=5x+58.50

64.50=5(1)+58.50

64.50=63.50 CORRECT

It can't be 2 because it will be over 64.50

5(2)+58.50

10+58.50

68.50 WRONG

Avery can use up to 1.2 gigabytes of data while staying within her budget of $64.50 per month.

The equation to determine the number of gigabytes of data Avery can use while staying within her budget can be written as:

$58.50 + $5x = $64.50

Where:

$58.50 represents the flat cost per month

$5x represents the cost based on the number of gigabytes used (x gigabytes)

$64.50 is the total budget she wants to stay within

To solve for x, we can subtract $58.50 from both sides of the equation:

$5x = $6.00

Then, divide both sides by $5:

x = 1.2

So, Avery can use up to 1.2 gigabytes of data while staying within her budget of $64.50 per month.

To know more about equation:

https://brainly.com/question/29657983

#SPJ3

Answer:

17%

Step-by-step explanation:

442/2600

= 0.17

To change a decimal to a percent, you move the decimal point two places to the right --> 17%

= 17%

Answer:

W.H.O

Step-by-step explanation:

ask my shoe and your mama

Answer:

iek

Step-by-step explanation:3283349

Answer:

The initial amount of miles that was on the car.

The initial value of the car when it was new.

Step-by-step explanation:

Answer:

The last sides on both triangles must have the three lines shown in the picture, because that shows that those sides are congruent. SSS stands for side side side, and the I and II shows that those sides are congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The maximum area of the figure is 4.5 square units.

Given,

Write an equation for area A of the figure.

Then determine the maximum possible area of the figure.

It is given by:

Area = 1/2 x base x height

When we maximize an area we must differentiate the area.

If A is the area.

A' = 0

We have,

From the figure:

Base = 6 - b

Height = b

Now,

Area = 1/2 x base x height
Area = 1/2 x ( 6 - b ) x b

A = (6b - b²) / 2

A = 3b - b²/2

When we maximize an area we must differentiate the area and thus,

A' = 0

So,

A' = 3 - 2b/2

0 = 3 - b

b = 3

Now,

A = 3b - b²/2

A = 3 x 3 - 3²/2

A = 9 - 9/2

A = (18 - 9) / 2

A = 9/2

A = 4.5 square units.

Thus the maximum area of the figure is 4.5 square units.

Learn more about finding the maximum area of a rectangle here:

https://brainly.com/question/14989725

#SPJ2

Answer:

2

Step-by-step explanation:

Answer:

C. Each first element, domain, is associated with exactly one element, range

Step-by-step explanation:

Answer:

Hi I hope this helps! I included step by step for each problem!

Step-by-step explanation:

5) 9x + 2 =119

9x +2 - 2 = 119 - 2

9x= 117

9x/9 = 117/9

x=13

6) 12x - 8 + 104 = 180

12x + 96 = 180

12x + 96 -96 = 180 - 96

12x = 84

12x/12 = 84/12

x=7

7) 5x+7=8x-71

5x+7+71=8x-71+71

5x-5x+78=8x-5x

78=3x

78/3=3x/3

26=x

8) 4x-7=7x-61

4x-4x-7+61=7x-4x-61+61

54=3x

54/3=3x/3

18=x

9) 13x-19+17y+5 =180

13x-19=9x+25

13x-9x-19+19=9x-9x+25+19

4x=44

4x/4=44/4

x=11

13(11)-19+17y+5=180

143-19+17y+5=180

129+17y=180

129-129+17y=180-129

17y=51

17y/17=51/17

y=3

10) 8y+17=6x-7

3x-29+6x-7=180

9x-36=180

9x-36+36=180+36

9x=216

9x/9=216/9

x=24

8y+17= 6(24)-7

8y+17= 144-7

8y+17= 137

8y+17-17=137-17

8y=120

8y/8=120/8

y=15

11) 7x-23=3x+49

7x-3x-23+23=3x-3x+49+23

4x=72

4x/4=72/4

x=18

3x=11y-1

3(18)= 11y-1

54+1=11y-1+1

55=11y

55/11=11y/11

5=y

12) 5x-38=3x-4

5x-3x-38+38=3x-3x-4+38

2x=34

2x/2=34/2

x=17

7y-20+5x-38=180

7y-58+5(17)=180

7y-58+85=180

7y+27=180

7y+27-27=180-27

7y=153

7y/7=153/7

y=21.9

(not 100% confident on 12)