Caroline is working two summer jobs, Making $19 per hour lifeguarding and making $10 per hour washing cars. In a given week she could work no more than 15 total hours and was earn a minimum of $200. Also she must work a minimum of eight hours lifeguarding and a minimum of two hours washing cars, write and solve a system of inequalities graphically And determine one possible solution

Answer:

17

Step-by-step explanation:

They are vertical angles so they are the same angle.

51 = 3x

Divide each side by 3

17 = x

Answer:ok so. X= 9.

Step-by-step explanation: Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near ").".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6*(x-2)-(2*(x+12))=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

(6 • (x - 2)) - 2 • (x + 12) = 0

STEP

2

:

Equation at the end of step 2

6 • (x - 2) - 2 • (x + 12) = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

4x - 36 = 4 • (x - 9)

Equation at the end of step

4

:

4 • (x - 9) = 0

STEP

5

:

Equations which are never true:

5.1 Solve : 4 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2 Solve : x-9 = 0

Add 9 to both sides of the equation :

x = 9

One solution was found :

x = 9

here you go

Answer:

6x-12=2x+24

combine like terms

4x-12=24

add 12 on both sides

4x=36

divide by 4

answer is:x=9

Step-by-step explanation:

Answer:5 N to the left

Step-by-step explanation:

Answer:

The Net Force is the difference of force. In this case

10N to the left - 5 N to the right = 5N to the left

Answer:

I believe the answer is A

Step-by-step explanation:

on edge

The required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the number of adult tickets is x and the number of children's tickets be y,
According to the quesiton,
The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets and collected $610.

So equaiton models as,
x + y = 210
5x + 2y = 610

Thus, the required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.

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Answer:

1. 5, 11, 18, 26, 35, 45

Step-by-step explanation:

5, 11, 18, 26,

The difference between 5 and 11 is 6.

The difference between 11 and 18 is 7.

The difference between 18 and 26 is 8.

As you can see their difference increases by 1, so the next difference would be 8 + 1 = 9.

26 + 9 = 35

And the next difference would be 9 + 1 = 10.

35 + 10 = 45

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

(3/2)^3 = 27/8

27/8 x 8/3 = 27/3 = 9

Answer:

Sam

Step-by-step explanation:

Just put them into a fraction for Sam its 15/5 and the ratio (basically a fraction) is 3/1 so if you simplify the 15/5, you’d get 3/1 which is the same so sam’s ratio is corrrect

Answer:

tip would be $3.50

Step-by-step explanation:

10% + 5% = 15%

10% of 23.25 is 2.33

5% of 2.33 is 1.17

add 2.33 and 1.17 to get 3.50

Answer:

I would do the question like

10% + 5% = 15% which would equal 3.50

Hope this helped (please mark brainliest)

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²

       h² = 10² + 24²

       h = √676

       h = 26

 (b). Hypotenuse² = (Leg 1)² + (Leg 2)²

       (25)² = (15)² + (leg 2)²

       Leg 2 = √(625 - 225)

                 = √400

                 = 20

  (c). Hypotenuse² = (Leg 1)² + (Leg 2)²

        h² = 4² + 6²

        h = √(16 + 36)

        h = √52

        h = 2√13

  (d). Hypotenuse² = (Leg 1)² + (Leg 2)²

        (14)² = (Leg 1)² + 7²

         Leg 1 = √(196 - 49)

                   = √147

                   = 7√3

2). Hypotenuse² = (Leg 1)² + (Leg 2)²

    Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]

    h² = 7² + 7²

    h = √98

    h = 7√2

    Option (1) is the correct option.

3). Hypotenuse² = (Leg 1)² + (Leg 2)²

    (26)² = (Leg 1)² + (10)²

    Leg 1 = √(676 - 100) = 24

    Area of a right triangle = [tex]\frac{1}{2}(\text{Leg 1})(\text{Leg 2})[/tex]

                                           = [tex]\frac{1}{2}(24)(10)[/tex]

                                           = 120 square units

     Option (3) is the correct option.

Answer:

115x=y

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because it the only right one according to my research

Step-by-step explanation:

1; x <-2 (this one has the line under the sign)

2;x>2

3;x-2<0

4;2<x ( this one has the line under the sign)

5; -2<x

Answer:

x=11.7

Step-by-step explanation:

When every you have a straight line with a transversal, the line going through the straight line, the two angles will add up to 180.

180=10x+2+5x+3 ---> combine like terms

180=15x+5 ---> subtract 5 to the other side

175=15x ---> divide 15 to the other side

x=11.7

Answer:

The commission Mrs.Jones gets is 14000 dollars

Answer:

$14,000

Step-by-step explanation:

First, convert the percentage to a decimal and get 0.07. Multiply this by 200,000 and get 14,000. So 7% of 200,000 is 14,000.

Answer:

cups

0.14 and 0.098

plates

0.1375 and 0.144

silverware

0.047 and 0.129

Total:

30.25

Step-by-step explanation:

5.60/40 and 4.90/50

40 count and 50 count

cups

0.14 and 0.098

2.75/20 and 3.60/25

plates

0.1375 and 0.144

9.85/210 and 12.90/100

silverware

0.047 and 0.129

Total:

(5.60+4.90)*(0.85)+(2.75+3.60)*(0.85)+(9.85+12.90)*(0.70)

=30.2475

round

30.25

Answer:

The answer to your question is 30.25

Step-by-step explanation:

Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Happy Holidays! Remember to focus on the positive and follow me please! Thanks, Bye! ;D

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

i.e.

Friday run - Saturday run =  2 - 0.5

                                          = 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

okkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

8 nickels=.40

15 dimes=1.50

The number of dimes is 15 and the number of nickels is 8.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A container has 23 coins comprising dimes and nickels. The aggregate sum of cash is $1.90.

Let d be the number of dimes and n be the number of nickels. Then the equation is given as,

d + n = 23                           ...1

0.1d + 0.05n = 1.90            ...2

From equations 1 and 2, then we have

0.1(23 - n) + 0.05n = 1.90

2.3 - 0.1n + 0.05n = 1.9

0.05n = 0.4

n = 8

Then the number of dimes is given as,

d + 8 = 23

d = 23 - 8

d = 15

The number of dimes is 15 and the number of nickels is 8.

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Answer:

27 Feet is the answer. Option C.

The flagpole is 27 feet tall.

"It is a triangle whose one of the angle measures 90° "

For angle [tex]\theta[/tex], [tex]tan(\theta)=\frac{opposite ~side~of~angle~\theta}{adjecent~side~of~angle~\theta}[/tex]

"An angle that is formed between the horizontal line and the line of sight. "

For given question,

Consider the following diagram.

Here, AB = the flagpole,

A flagpole casts a 40-foot shadow.

so, BC = 40 foot

The angle of elevation from the tip of the shadow to the tip of the flagpole is 34°.

⇒ ∠ACB = 34°

We need to find the height of the flagpole.

We find the tan of angle 34°

[tex]\Rightarrow tan(34)=\frac{AB}{BC}\\\\ \Rightarrow 0.6745=\frac{AB}{40}\\\\\Rightarrow AB=0.6745\times 40\\\\\Rightarrow AB = 26.98\\\\\Rightarrow AB\approx 27~feet[/tex]

Therefore, the flagpole is 27 feet tall.

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Answer:

Step-by-step explanation: