An electrician charges $24 per hour and $36 for each hour of overtime. for a job, the electrician works 8 regular hours and overtime hours. he also charges $202 for materials. the total amount of the bill for the job is $538. how many overtime hours did the electrician work?

The percentage increase for given quantity is 11.1%

In this question,

A quantity increases from 225 to 250.

So, the absolute change in the quantity would be,

|225 - 250| = 25

The relative increase of the quantity would be,

R = [tex]\frac{|225 - 250|}{225}[/tex]

R = 25 / 225

R = 0.111

We know that, the percentage increase of the quantity is the relative increase multiplied by 100.

So, the percentage increase of given quantity would be,

P = 0.111 × 100

P = 11.1%

Therefore, the percentage increase for given quantity is 11.1%

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Answer:

x2 + 3x − 2

Explination: trust pls

Answer: read first :)

Step-by-step explanation:

the first equation, x= -4 + 3y/5

y= 20/3 + 5x/3

the second equation, x= 4 - 2y/3

y= 6 - 3x/2

Answer:  

Step-by-step explanation:

Answer: The answer is C(3,11)

Step-by-step explanation:

If you replace x with 3 that will be 3 to the third power 3 x 3 is 9 so 9 plus 2 is 11 you can use 11 in y, therefor your answer is C.(3,11)

6w^2z^2

I hope this helps!

The function f(x), representing the number of blocks Eva is away from her house after x minutes is

[tex]f(x) = \begin{cases} & 0\text{ if } x= 0\\ & x\text{ if } 0 < x\leq 3 \\ & 3\text{ if } 3 < x\leq 6\\ & x/2\text{ if } 6 < x\leq 12\\ & 6\text{ if } 12 < x\leq 18\\ & 24-x\text{ if } 18 < x\leq 24 \\ & 0\text{ if } x > 24 \end{cases}[/tex]

The graph for the same is attached.

In the question, we are asked to form a graph showing the number of blocks, that Eva is away from her home at x minutes, after she leaves her home.

To form the graph, we first try to make a function for x minutes, f(x), showing the number of blocks Eva is away from her home after x minutes.

Since x represents time, it cannot be negative.

At x = 0, f(x) = 0, as she is at her home at 0 minutes.

Then, Eva visits the store, 3 blocks away from her home at a speed of 1 block per minute.

Thus, she moves 1 block every minute up to 3 minutes.

Thus, we get f(x) = x, 0 < x ≤ 3.

After this, she spends 3 minutes at the store, giving f(x) = 3, 3 < x ≤ 6.

Then she moves towards the bank, in the same direction, 3 blocks away at the speed of 1 block every 2 minutes.

Thus, in every minute, she travels 1/2 block.

Thus, the function can be designed as follows:

f(x) = 3 + (1/2)(x - 6), 6 < x ≤ 12,

or, f(x) = x/2, 6 < x ≤ 12.

Now, we are given that she stops at the bank for 6 minutes.

Thus, we get, f(x) = 6, 12 < x ≤ 18.

Now, she drove back home, at the speed of one block every minute.

Thus, we get f(x) = 6 - (x - 18), 18 < x ≤ 24,

or, f(x) = 24 - x, 18 < x ≤ 24.

At the 24th minute, Eva reaches her house back, giving f(x) = 0, x > 24.

Thus, the complete function can be shown as:

[tex]f(x) = \begin{cases} & 0\text{ if } x= 0\\ & x\text{ if } 0 < x\leq 3 \\ & 3\text{ if } 3 < x\leq 6\\ & x/2\text{ if } 6 < x\leq 12\\ & 6\text{ if } 12 < x\leq 18\\ & 24-x\text{ if } 18 < x\leq 24 \\ & 0\text{ if } x > 24 \end{cases}[/tex]

The graph for this function is attached.

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Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Can you give me brainliest?

Answer:

It works in both equations, so the two numbers are 60 and 12.

Step-by-step explanation:

The amount that the bank loaned out at 7.9% is $1,574.00

How do represent the amounts lent at different rates?

On the assumption that x amount was loaned at 7.9% and that the remaining amount, (8,200-x) was loan out at 7.4%, we can determine the interest charged on each loan as the loan multiplied by the interest rate

interest on 7.9% loan=7.9%*x=0.079x

interest on 7.4% loan=7.4%*(8200-x)

interest on 7.4% loan=606.80-0.074x

total interest=0.079x+606.80-0.074x

total interest=0.005x+606.80

total interest on loans=614.67

614.67=0.005x+606.80

614.67-606.80=0.005x

7.87=0.005x

x=7.87/0.005

x=amount loaned at 7.9%=$1,574.00

y=$8200-$1574

y=$6,626.00

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The number of written in standard form is 9.45 × 10⁵

From the question, we are to write the given number in standard form

The given number is

Nine hundred forty-nine thousand

That is,

945000

To write a number in standard form, we will write the number as a decimal number between 1.0 and 10.0, multiplied by a power of 10.

The number, 945000, written in standard form is

9.45 × 10⁵

Hence, the number of written in standard form is 9.45 × 10⁵

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The best term that describes the number of solutions that will maximize the function is one optimal solution (a).

Number of Solutions in linear equations:

There are 3 possible types of solutions to the set of linear equations. They are:

Unique Solution - linear equation represents that there exists only one point, which on substitution, L.H.S becomes equal to R.H.S. In the case of simultaneous linear equations in two variables, the solution should be an ordered pair (x, y).

No Solution -  linear equations are parallel, then the system of linear equations has no solution.

Infinitely Many Solutions - graph for the system of linear equations with infinitely many solutions is a graph of straight lines that overlaps each other.

Given,

Here we need to find the number of solutions that will maximize the function below given the constraints listed.

the constraints are 3x and 2y.

We know that, linear equations in two variables, the solution should be an ordered pair (x, y).

So, here we have exactly only one solution that is a unique solution.

Then the option (a) one optimal solution is correct

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Answer:

52/21

Step-by-step explanation:

Translate the word equation into an algebraic equation as follows:

Let the number be X

two-and-a-half of a number --> (2 1/2) X
2 1/2 = (2 x 2 + 1) = 5/2

So two-and-a-half of a number --> (9/2)X = 9X/2

three-quarters of the same number --> (3/4)X --> 3X/4

two and half of a number added to three quarters of the same number becomes 9X/2 + 3X/4

gives you 13 --> = 13

So we get the equation:
9X/2 + 3X/4 = 13

Multiply both sides by 4 to get rid of the denominators
4.(9X/2) + 4(3X/4) = 4 x 13 = 52

36X/2 + 12X/4 = 52

==>  18X + 3X = 52

==>  21X = 52

==>  X = 52/21

Answer: 1.65 × 10⁻³

Step-by-step explanation: hope this helps!!!

768 cm'^2 is the trapezoid’s area.

What is  isosceles trapezoid?

Isosceles trapezoids have equal length non-parallel sides, hence the name "isosceles" which means "equal legs". The "legs" are another name for these equal sides.

Let 50 cm  = the bottom  base

We can find the area of one of the triangles that comprise the area of the trapezoid.....its sides are 30, 40 and 50  cm

Let s be the semi-perimeter of one of the triangle  = [ 50 + 40 + 30 ] / 2  = 60 cm

And the area of  of this triangle  =  sqrt  [ s ( s - a) (s - b) ( s -c) ]     where a,b, c are the sides

So...we have    sqrt [ 60 ( 60 - 30) (60 - 40) (60 - 50) ]  = sqrt [ 60 * 30 * 20 * 10 ] =

sqrt [ 1800 * 200]   =   sqrt [ 3600 * 100]  = 60 * 10  = 600 cm ^2

Now the base of this triangle = 50 and the height can be found as

follows :

Area =  (1/2) 50 * height

600 = 25 * height

height  =  24 cm   and this is the height of the trapezoid

Now....the top base can be found as   50  -  2 sqrt [ 30^2 - 24^2 ]  = 14 cm

So....the area of the trapezoid  = (1/2) height ( sum of the bases)  =  (1/2) (24) ( 50 + 14)  = 12 ( 64)  = 768 cm'^2

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Answer: 1 3/4=7/4

2 1/2=5/2

Step-by-step explanation:

1 3/4=

1 + 3/4=

4/4 + 3/4=

(4+3)/4=7/4

2 1/2=

2+1/2=

4/2+1/2=5/2

The dimensions of the rectangle are 59 by 50 inches

The given parameters are

Length (l) = 1/2 width (w) + 9

Perimeter (P) = 318

Perimeter is calculated as

P = 2 (l + w)

Substitute l = 1/2w + 9 in P = 2(l + w)

So, we have

2 * (1/2w + w + 9) = 318

Evaluate the like terms

2 * (1.5w + 9) = 318

Divide by 2

1.5w + 9 = 159

So, we have

1.5w = 150

Divide by 15

w = 100

Substitute w = 100 in l = 1/2w + 9

l = 1/2 * 100 + 9

Evaluate

l = 59

Hence. the dimensions of the rectangle are 59 by 50 inches

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The translation of the point, (5, 3) according to the rule, (x, y) → (x - 7.5, y + 6.8), gives the point, (-2.5, 9.8)

A translation transformation is one in which the image of a pre–image is located at a position according to a rule. such that the difference between the image and the pre-image is a change in location.

Given parameters;

The coordinates of the given point = (5, 3)

The rule for the given transformation = (x, y) → (x - 7.5, y + 6.8)

The original coordinates of the point = (5, 3)

The coordinates of the image following the transformation is therefore;

[tex](5, 3) \: \underrightarrow{ T } \: (5 - 7.5,\: 3 + 6.8) [/tex]

Where;

[tex]T = T_{ (- 7.5,\: 6.8)}[/tex]

(5 - 7.5, 3 + 6.8) = (-2.5, 9.8)

Which gives;

[tex](5, 3) \: \underrightarrow{ T_{( - 7.5,\: 6.8)} } \: ( - 2.5,\: 9.8) [/tex]

The transformation of the point (5, 3) according to the rule (x, y) → (x - 7.5, y + 6.8), gives (-2.5, 9.8)

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you need to draw the exact graph of f(x), but moved 3 units to the right and 5 units up.

First, we know the graph of f(x), and now we want to find the graph of the function:

f(x - 3) + 5.

Remember that a horizontal translation of N units is written as:

f(x + N)

Remember that a vertical translation of N units is written as:

f(x + N)

Then the function:

f(x - 3) + 5

Is a translation of 3 units to the right and 5 units upwards.

This means that you need to draw the exact graph of f(x), but moved 3 units to the right and 5 units up.

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Using translation concepts, it is found that:

A. The triangle was reflected over the y-axis.

B. The coordinates for J' are (-5,-4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For item a, we have that the rule applied at each vertex is given by:

(x,y) -> (-x,y).

This rule means that the triangle was reflected over the y-axis.

In item b, supposing point J(5,-4), the image is given by:

(5,-4) -> (-5,-4).

The coordinates for J' are (-5,-4).

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Answer:

Absolute values:

Absolute values are specific values in math interpreted by vertical bars and a plus/minus symbol to represent addition, subtraction, or if they are negative / positive. Mostly, if the absolute value is positive, you can write the vertical bars to represent its absolute value. No need for a plus symbol. However, negative numbers are often different.

Exempli gratia(e.g): |2|, |-2|, |+2|

Answer:

7 grids

Step-by-step explanation:

-start at one of your points

-count up or down the y-axis to the other point.

-count along the x-axis to your other point.

-add the 2 lengths.

Answer: a=123

b=230

Step-by-step explanation:

Answer:

I gotchu! The answer is 80.

Step-by-step explanation:

To find the mean, you need to add up all the scores and divide it by how many scores there are. In this case, there are 5 scores, so we can first add them all up.

70+75+80+85+90=400

Now, since there are 5 scores, you need to divide 400 by 5.

400/5=80

The mean would be 80.

Hope that helped!

Have a great day!

:D

Answer:

23

Step-by-step explanation:

you always do whatever is in the brackets first,

31 - 9 = 22

then the equation would be,

45 - 22

so the answer is 23

hope this helped xx

The way to write the name of a segment differently than the name of a line is that  a line is written with the use of two arrowheads on the ends. While a line segment is just written down by an overbar with endpoints.

A line is known to be a kind of a one-dimensional figure that moves from infinitely in 2 directions.

A line segment is seen as a part of a line that is known to be made up of  definite attributes where it has two endpoints as well as a fixed length.

Therefore, The way to write the name of a segment differently than the name of a line is that  a line is written with the use of two arrowheads on the ends. While a line segment is just written down by an overbar with endpoints.

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Answer:

C. 92

Step-by-step explanation:

88 + 96 = 184

184/2 = 92

Hope this helps :)

The rule for the translation from LMN to L'M'N' is:

(x,y) -> (x + 3, y + 1).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we have that each vertex of LMN was:

Thus the rule for the translation from LMN to L'M'N' is:

(x,y) -> (x + 3, y + 1).

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