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10+(28-8)/4

The total amount earned in 10 hours of work is $390.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, an independent contractor he charges a $140 fee plus $25 per hour for each contract with the city.

Here, y represents the total amount he changes for a project and x represents the number of hours worked on a project.

Now, y=140+25x

Amount earned for 10 hours of work is

y=140+25×10

= 140+250

= $390

Therefore, the total amount earned in 10 hours of work is $390.

To learn more about the function visit:

https://brainly.com/question/28303908.

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Answer:

Step-by-step explanation:

Area of the figure = area of semicircle + area of rectangle

Rectangle:

length = 11.25 in

width = 7.5 in

Area of rectangle = length * width

                            = 11.25 * 7.5

                            = 84.375 in²

Semicircle:

diameter =  width of the rectangle

d = 7.5 in

r = diameter 2 = 7.5/2 = 3.75 in

[tex]Area \ of \ circle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]

                         [tex]=\dfrac{1}{2}*3.14*3.75*3.75\\\\= 22.08 \ in^{2}[/tex]

Area of the figure = 84.375 + 22.08

                                = 106.455

                                = 106.46 in²

Answer:

Step-by-step explanation:

answer: owen can afford to keep and drive the car for 4 days.

The total owing on the car rental is R(d) = ($77.25/day)d + ($0.12/mile)m ≤ $330.  Substitute 1 for d (that is, the rental is for 1 day) and 175 for m:

R(d) = ($77.25/day)(d days) + ($0.12/mile)(175 miles) ≤ $330

    =   $77.25d                   + $21     ≤ $330

This simplifies to   $77.25d + $21 ≤ $330, or

                                $77.25d ≤ $309

Solving this by dividing both sides of the above equation by $77.25, we get                          

d = ($309)/($77.25) = 4

Answer:

M=3/2

Step-by-step explanation:

Convert to slope-intercept form.

subtract 3x from both sides:

3x-2y=10

-3x      -3x

the threes will cancel out leaving you with:

-2y=10-3x

then divide both sides by -2:

-2y=10-3x

-2y   -2

your twos will then cancel out leaving you with:

y=-5-3/2

your answer is then:

3/2

heres a formula you can go by:

y=mx+b. m is the slope and b is the y-intercept.

I hope this helps :)

sorry if it doesn’t.

Answer:

y ≥ 1, (meaning y can be greater than 1/infinite numbers or just 1)

x ≥ 2, (meaning x can be greater than 2/infinite numbers or just 2)

Answer:

1

Step-by-step explanation:

x is the number

x+2 is divided by 3

x+2 ÷ 3 =1

Multiple 3 on both sides

x=1

Answer:

150 why? is 4 times xd 150×4 is 600 that's it

Answer:

150

Step-by-step explanation:

Answer:

what is this question...

Answer:

114.8

Step-by-step explanation:

Answer:

st-2f u

Step-by-step explanation:

so the essay 2+1=2

Answer:

The constant of proportionality is 5 minutes per bracelet

Step-by-step explanation:

If x and y are proportion, then y = k x, where

Let us solve our question

∵ Olivia is making bead bracelets for her friends

∵ She can make 3 bracelets in 15 minutes

We need to find the constant of proportionality in terms of minutes per bracelet, which means y represents the minutes and x represents the bracelet

∴ y = the time in minutes

∴ x = the number of bracelets

∵ y proportion with x

∴ k = [tex]\frac{y}{x}[/tex]

∵ y = 15 and x = 3

∴ k = [tex]\frac{15}{3}[/tex]

∴ k = 5

∴ The constant of proportionality is 5 minutes per bracelet

Answer:

X=[tex]\frac{-16-Z}{Y}[/tex]

Step-by-step explanation:

XY+Z=-16

Subtract both sides by Z

XY=-16-Z

Divide both sides by Y

X=[tex]\frac{-16-Z}{Y}[/tex]

Answer:

b=119, and c=119

Step-by-step explanation:

this is because b+61 equal 180 degrees and b and c are congruent angles

Answer:

-3

Step-by-step explanation:

10+2X-4= 0

2X= -10 + 4

2X = -6

X = -3

Answer:

630

Step-by-step explanation:

Answer:

630

Step-by-step explanation:

1 minute = 60 words multiply everything by 10.5

10.5 minutes = 10.5(60) = 630 words

We know that:

This means that:

Step-by step calculations:

Subtract 3x both sides.

Subtract 4 both sides.

Divide 6 both sides.

*Note that:-

Using this equation we will solve for x and then find each angle...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex]9x + 4 = 3x + 16 \\ 9x + 4 - 3x = 16 \\ 9x - 3x = 16 - 4 \\ 6x = 12 \\ x = 2[/tex]

[tex]\large{|\underline{\mathsf{\red{1}\blue{ ^{s} }\orange{^{t} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]

[tex] \pmb{9x + 4} \\ \pmb{9 \times 2 + 4} \\ \pmb{18 + 4} \\ \boxed{ \tt \: ∠1 = 22 \degree }[/tex]

[tex]\large{|\underline{\mathsf{\red{2}\blue{ ^{n} }\orange{^{d} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]

[tex] \pmb{3x + 16} \\ \pmb{3 \times 2 + 16} \\ \pmb{6 + 16} \\ \boxed{ \tt \: ∠2 = 22 \degree }[/tex]

Answer:

The answer would be 0

Step-by-step explanation:

Because halfway of 4, -2 is 0

Answer:

You would want to put this in point-slope form. your answer would be

y+2=1/2(x-4). You can also put this is standard form which would be, y=1/2x-4.

I hope this helps!

First of all, to find the area of a triangle you multiply the base * height and divide the result by two (2).

Let's use a triangle which sides are all 2 inches. To find the area, you do 2*2/2  which equals 2.

Now, double each side and each side of the triangle is now 4.

We do 4*4/2 which now equals 8.

The percentage increase from 2 --> 8 is 600%.

The percentage of the old area to the new area is 800%

ANSWER: 600%

Answer:14

Step-by-step explanation:440 X .35 = 114. You have tto Turn 35% into a decimal. Move over 2 times now you get .35

Answer: 9 over 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x-8+3x+2=4x+10+3x-6

5x-6=7x+4

minus 7x from both sides, add 6 to both dies

-2x=10

divide by -2

x=-5

Answer:

Vol = 769.7 cubic ft

Step-by-step explanation:

"radius" is the distance from the center of a circle to the circle. So let's assume your pool is a circular pool with radius = 7ft and height = 5ft. It's a cylinder.

Volume of a cylinder:

Vol =

Base area•height

= pi•r^2 • h

= pi(7)^2•5

= pi•49•5

= pi • 245

= 245pi

Now, 245pi cubic ft is a perfectly good answer. But your teacher/text/class, may be asking for a decimal approximation.

If you use calculator pi (that's a lot of decimals) you get

Vol ~= 769.69 (to the hundredths place)

Vol ~= 769.7(to the tenths place)

If you were told to use 3.14 for pi

then you get

Vol ~= 769.3 cubic ft

But if you were told to convert units to gallons or liters there are more calculations (message, i can edit in these)

Answer: x = 1/2

Step-by-step explanation: Set it equal to zero by subtracting 4x from both sides:

4x² - 4x + 1 = 0

Now, factor it:

(2x - 1)(2x - 1)

Set each one equal to zero, but since they’re the same, you only need to do it once:

2x - 1 = 0

Add 1 to both sides:

2x = 1

Divide both sides by 2:

x = 1/2

Hope this helps!

Answer:

x=1/2

Step-by-step explanation:

4x^2+1=4x

or,4x^2-4x+1=0

or,(2x)^2 - 2*2*x+(1)^2 =0

or,(2x-1)^2 =0

or,2x-1 =0

or,2x=1

Therefore, x=1/2

Answer:  y = -15x + 225

Step-by-step explanation:

slope-intercept form is y = mx + b

The 225 is the starting amount.

x is the number of days since the machine was loaded.

-15 is the amount subtracted on average per day. It is the slope, m

y is the number of sodas left in the machine

Unfortunately your graph is wrong(Correct one is attached)

Correct ones are

Note

if you make the function y=-x^2+2x+6 then the rest two are correct

Answer:

f is increasing on the interval x < 0

f is increasing on the interval 0 < x < 1

Step-by-step explanation:

From inspection of the graph, the curve is increasing when x < 1 and the curve is decreasing when x > 1

Therefore, the following are true statements:

to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12[/tex]

Answer :

Explanation :

Since the wall with all its bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.

Here,

[tex]{\qquad \dashrightarrow{ \sf{Length=10 \: m=1000 \: cm}}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{Thickness=24 \: cm}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{Height=4 m=400 \: cm}}[/tex]

Therefore,

[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: the \: wall = length \times breadth \times height}}}[/tex]

[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: the \: wall = 1000 \times 24 \times 400 \: {cm}^{3} }}}[/tex]

Now, each brick is a cuboid with Length = 24 cm, Breadth = 12 cm and height = 8 cm.

So,

[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: each \: brick = length \times breadth \times height}}}[/tex]

[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: each \: brick = 24 \times 12 \times 8 \: {cm}^{3} }}}[/tex]

So,

[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: bricks \: required = \dfrac{volume \: of \: the \: wall}{volume \: of \: each \: brick} }}}[/tex]

[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \dfrac{1000 \times 24 \times 400}{24 \times 13 \times 8} }}}[/tex]

[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \bf \: 4166.6} }}[/tex]

Therefore,

Answer:

3 1/9

Step-by-step explanation:

divide 4 2/3 and 1 1/2 together to find width