A plumber charges a service charge of $20 plus $15 per one-half hour of work. the cost to hire the plumber is given by the function f(x) = 15x + 20, in which f(x) represents the cost and x represents the number of one-half hours the plumber works. If the Jackson family has $200 to spend on the water leak repair, what is the maximum number of hours the plumber can work to repair the leak?

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:

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: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:

115x=y

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

(3/2)^3 = 27/8

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

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:

8/7

Step-by-step explanation:

(2,-5) (9,3)

3-(-5)=8 because you apply your keep change change

9-2=  7

so 8/7

Answer:

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

You can verify me by using the y2-y1/x2-x1 formula

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:

PR=12

Step-by-step explanation:

2x+6=3x-6

6=x-6

12=x

Step-by-step explanation:

2. AB || CD                              2. Def of parallelogram

3. <BAC is congr <DCA         3. alt int angles of parallel lines

4. seg AB is congr seg CD    4. Theorem: opp sides of parallel are congr

5. <s AEB and CED are rt <s    5. Def of perpendicular lines

6. <AEB is congr <CED           6. Theorem: all right angles are congr

7. tr. AEB is congr tr. CED       7. AAS

8. seg. AE is congr seg. CE   8. CPCTC

9. <BEC is a rt <                      9. Def of perpendicular lines

10. <AEB is congr <BEC         10. Theorem: all right angles are congr

11. seg BE is congr seg. BE     11. Theorem: congr of seg's is reflexive

12. tr. AEB is congr tr. CEB       12. SAS

13. seg AB congr seg BC         13. CPCTC

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.

Answer:

D.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because it the only right one according to my research

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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:

3/2 hope this helps hqhahjajja

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:

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:

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:

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:

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