Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Felix is a plumber, and his coworker Peter is an electrician. Felix charges customers a fee of
$46 just to come to their houses and then $3 per minute that he is there. Peter also charges
a fee of $114 for a home visit, plus an additional $1 per minute. Last week the coworkers
went to a job site together, spent the same amount of time working, and earned the same
amount. How much time did each one spend working? How much did each one earn?
Felix and Peter worked for
minutes, and each earned $

Answer:

7/9

Step-by-step explanation:

x = .7

10x = 7.7

10x - x = 7.7 repeating

9x = 7

x = 7/9

Bam

Answer:

3.50

Step-by-step explanation:

15-5-6.50 equals 3.50

Answer:

8

Step-by-step explanation:

Multiply both the numerator and denominator by 4

Answer:.

Step-by-step explanation:

Answer:

g(h(6)) = 36

h(g(6)) = 36

Explanation:

There is no difference in this because we're just basically using the commutative property. For g(h(6)), you just plug in 6 for x² which will give you 36. And since g(x) = x, the value of x is 36. In the same way for h(g(6)), g(6) = 6 and h(6) = (6)² therefore getting you 36. For both equations though, you will get the same answer.

Answer:

g(h(6)) = 36

h(g(6)) = 36

Step-by-step explanation:

There is no difference in this because we're just basically using the commutative property. For g(h(6)), you just plug in 6 for x² which will give you 36. And since g(x) = x, the value of x is 36. In the same way for h(g(6)), g(6) = 6 and h(6) = (6)² therefore getting you 36. For both equations though, you will get the same answer.

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2x+7+2x=19[/tex]

First, let's combine like terms on the left:

[tex](2x+2x)+7=19[/tex]

Add:

[tex]4x+7=19[/tex]

Subtract 7 from both sides:

[tex](4x+7)-7=(19)-7[/tex]

The left side cancels. Subtract on the right:

[tex]4x=12[/tex]

Now, divide both sides by 4:

[tex]\frac{4x}{4}=\frac{12}{4}[/tex]

The left cancels. Divide on the right:

[tex]x=3[/tex]

So, the value of x is 3.

Answer:

X=3

Step-by-step explanation:

2x+2x(=4x)=19-7

4x=12

X=12\4(divide)

x=3

Answer: The answer would be 2 miles a minute.

Step-by-step explanation: Simply divide the miles by the minutes.

Missile's rate of change is 2 mi/ min

The rate of change in this instance is the speed that the missile is going at because rate of change is used to calculate how fast something is changing in respect to time.

Speed = Distance / Time

Distance = 20 miles

Time = 10 minutes

Rate of change:

=  20 / 10

= 2 miles per minute

The rate of change is therefore, 2 mi/ min

Find out more at  https://brainly.com/question/20605553.

Answer:

21

Step-by-step explanation:

if u divide 649 by 31 u get 20. 93 Wich u round up to 21

The average number of points scored by athlete per game is 21.

It is given that a star athlete scored 649 points during the 31 basketball games.

We have to find , the average number of points she scored per game.

What will be the value if 24 is divided into 8 parts equally ?

The value will be 3.

Total points scored in 31 basketball games = 649 points

Points scored in 1 game =

649 ÷ 31

= 20.93

≈ 21 points per game

Thus , the average number of points scored by athlete per game is 21.

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Answer:

530

Step-by-step explanation:

200+6(55)

6x55=330

200+330=530

Answer:

19

Step-by-step explanation:

f(x) when x=2 is just a fancy way of saying substitute the x in this equation with 2.

so the equation becomes..

3(2)^3-5    ... remeber PEMDAS

3(8)-5

24 -5 =19

Answer:

One fraction = [tex]\frac{23}{12}[/tex]

Mixed Number = [tex]1\frac{11}{12}[/tex]

Step-by-step explanation:

Since each circle represents one unit,

Sum of all segments of a circle = Circle having 12 segments

If one segment of the circle is removed from one circle,

Remaining parts of the given circles = 12 + 11

Now one  fraction representing the shaded sectors = [tex]\frac{12}{12}+\frac{11}{12}[/tex]

                                                                                       = [tex]\frac{23}{12}[/tex]

Mixed number = [tex]\frac{12}{12}+\frac{11}{12}[/tex]

                        = 1 + [tex]\frac{11}{12}[/tex]

                        = [tex]1\frac{11}{12}[/tex]

Answer: 0

Step-by-step explanation: Natural numbers are your

counting numbers and they're always positive.

Since 0 is not a positive number,

it's not include within the set of natural numbers.

Answer: 0

Step-by-step explanation:

Answer:6

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

there are three even numbers (3/6) and 3 odd numbers but you are only looking for 5 (1/6) so the answer is 4/6

hopefully this helps you :)

pls mark my answer brainlest I need it ;)

Answer:

9m=49 is the answer of the product of 9 and m is 49

Answer:

275

Step-by-step explanation:

110 x 2.5 = 275

If 110 km is one gallon, you would multiply 110 by 2.5, and that's what i did above.

Answer:

32/9

Step-by-step explanation:

Answer: 7/2 or 3  1/2

Step-by-step explanation:

Steps to solve:

6x + 6 = 6(x - 1)

~Distribute left side

6x + 6 = 6x - 6

~Subtract 6 to both sides

6x = 6x - 12

~Subtract 6x to both sides

0 = -12

No solutions.

Best of Luck!

Hey there!☺

[tex]Answer:\boxed{\text{There are no solutions.}}[/tex]

[tex]Explanation:[/tex]

[tex]6x+6=6(x-1)[/tex]

6x + 6 = (6)(x) + (6)(-1) Distribute

6x + 6 - 6x = 6x - 6 - 6x Subtract 6x from both sides

6 = -6

6 - 6 = -6 - 6 Subtract 6 from both sides

0 = -12

No solutions.

Hope this helps!

Answer:

6 is the answer because it is

Number of lines of symmetry in snowflake design would be,

⇒ 6

We have to given that,

A snowflake design is shown in image.

Since, We know that,

Exactly dividing a form in half, a line of symmetry exists. This indicates that the form would fold perfectly in half if you did so along the line.

Hence, By definition of line of symmetry,

Number of lines of symmetry in snowflake design would be,

⇒ 6

Thus, Number of lines of symmetry in snowflake design would be,

⇒ 6

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your answer is 3.2 evaluated

Answer:

x=5 and y=2

Step-by-step explanation:

I hope this helps

Answer:

680

Step-by-step explanation:

Answer:

7. C. 6

8. H. √34

9. A. (1, 3.5)

10. J. 10

Step-by-step explanation:

7. AB = 2y, BC = 6y, AC = 48

AB + BC = AC (segment addition theorem)

Substitute the above values into the equation

2y + 6y = 48

Solve for y

8y = 48

Divide both sides by 8

8y/8 = 48/8

y = 6

8. Distance between P(2, 8) and Q(5, 3):

[tex] PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] P(2, 8) = (x_1, y_1) [/tex]

[tex] Q(5, 3) = (x_2, y_2) [/tex]

[tex] PQ = \sqrt{(5 - 2)^2 + (3 - 8)^2} [/tex]

[tex] PQ = \sqrt{(3)^2 + (-5)^2} [/tex]

[tex] PQ = \sqrt{9 + 25} [/tex]

[tex] PQ = \sqrt{34} [/tex]

9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] L(8, 5) = (x_1, y_1) [/tex]

[tex] B(-6, 2) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{8 + (-6)}{2}, \frac{5 + 2}{2}) [/tex]

[tex] M(\frac{2}{2}, \frac{7}{2}) [/tex]

[tex] M(1, 3.5) [/tex]

10. M = -10, N = -20

Distance between M and N, MN = |-20 - (-10)|

= |-20 + 10| = |-10|

MN = 10

Answer: 600

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

That is one way to write a proportion, yes, so I say this is True.

Answer:

28

Step-by-step explanation:

Answer:

answer is C on ED

Step-by-step explanation:

For two matrices to be equal, their corresponding elements should be equal.

Matrix in mathematics is the arrangement of numbers in the form of rows and columns.

A matrix is defined by a order in the form {m} x {n}, where {m} denotes the number of rows and {n} denotes the number of columns.

We can write the example of a matrix as follows. Given below is a 3 x 3 matrix. It is a square matrix.

[tex]$\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Given is to find the condition in which two matrices are equal.

For two matrices to be equal, their corresponding elements should be equal. Mathematically, for two matrices A and B, can be considered as equal if -

a{i, j} = b{i, j}

Therefore, for two matrices to be equal, their corresponding elements should be equal.

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Answer:

what's the question?

explanation

Answer:

6(4)-2(3)=18

Step-by-step explanation:

The value of k is 4.

I know this because I' just smart like that

7th Grade ,

Thanks in advance,

       Brianna Edwards