Emma and Kyle combine their eamings to pay their
bills. Emma's eamings can be modeled by the
equation E(x) = 22.75x + 74, where x is the number
of hours worked in a week. Kyle's eamings are
modeled by the equation K(x) = 17 85x + 127, where
x is the number of hours if they each work the same
number of hours in a week?
a. C(x) = 241.60x
b. Cix) = 40,60x + 201
c.Cix) = 40.60x + 53
d. Cix)= 4.90x - 53​

Answer:

400

Step-by-step explanation:

The initial value of the investment is 100 *1 = $100

The final value of the investment after three months is 100 * 5 = $500

This means the value of the investment has increased from $100 to $500. The capital gain is the increase in the value of an investment;

500 - 100 = $400

Answer:

504 m²

Step-by-step explanation:

21 m * 24 m = 504 m²

So, the answer is 504 m²

The formula for the area of a rectangle is:

Length × Width

OR

L ×  W

In this case...

L = 24 m

W = 21

^^^Plug these numbers into the formula for the area of a rectangle

24 ×  21

504

The area of this class room is 504 [tex]m^{2}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

The lowest proportion would be 1 yard at .65¢

We can get this by dividing $3.90 by 6, since we divided 6 by 6 to get 1.

Answer:

any option which has 0.65 as a unit rate

Step-by-step explanation:

since 3.90/6=0.65

divide the $ by the amount of fabric and you should get 0.65, if u get 0.65 thats ur answer

hope this helps!

Answer:

The best prediction for the number of questions that Amit will answer correctly is 5.

Step-by-step explanation:

Each question can be considered as an independent Bernoulli trial. This implies that we have 20 independent trials.

Now, the probability of making a correct guess on each question is;

1/4. This is because we have 4 choices per question and only 1 is correct.

If we now let the random variable X denote the number of questions that Amit will answer correctly, then X is a Binomial random variable with parameters;

20 and 1/4.

The expected number of correct answers is simply the product of these two values;

20 * (1/4) = 5

Therefore, the best prediction for the number of questions that Amit will answer correctly is 5

Step-by-step explanation:

i) An intersecting system of linear equations

A system of linear equations comprises of two or more linear equations. Linear equations are simply straight line equations with a given slope and a unique y-intercept .

Solutions to systems of linear equations can be determined using a number of techniques among them being;

Elimination method

Substitution method

Graphical method

The graphs of a system of linear equations will intersect at a unique single point if the lines are not parallel.

An example of intersecting system of linear equations;

y = 2x -5 and y =5x + 4

The two lines will intersect at a particular single point since the slopes are not identical. The attachment below demonstrates this aspect.

ii) A parallel system of linear equations

Two lines are said to be parallel if they have an identical slope but unique y-intercepts. Parallel lines never intersect at any given point since the perpendicular distance between them is always constant.

Thus a parallel system of linear equations has no solution. An example of parallel system of linear equations;

y = 3x - 4 and y = 3x + 8

The attachment below demonstrates this aspect.

iii) A coincident system of linear equations

A system of linear equations is said to be coincident if the two straight lines are identical. That is the lines have an identical slope and y-intercept. Basically, we are just looking at the same line. Two parallel lines can also intersect if they are coincident, which means they are the same line and they intersect at every point.

Therefore, this system of linear equations will have an infinite number of solutions.

Answer:

5(2x-1) = 5(2x) - 5(1)

Step-by-step explanation:

The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.

It can be written as:

a(b+c) = ab + ac

or

a(b-c) = ab - ac

So, for the given question,

=>5(2x-1) = 5(2x) - 5(1)

Answer:

5(2x)+5(-1)

Step-by-step explanation: You need to distribute the numbers from left to right. : 5x2+5x-1

Answer:

294

Step-by-step explanation:

so three family's and 14$ a day so

14*3=42

then take 42 and times it by how many days so 7

so 42*7=294

Answer:

A set of parametric equations for the line y = 4x - 5 is;

x = t

y = 4t - 5

Step-by-step explanation:

To find a set of parametric equations for the line y = 4x - 5;

We can assign either variable x or y equal to the parameter t, in this case we can easily let x = t

We then substitute x = t in the original equation;

y = 4t - 5

Therefore, a set of parametric equations for the line y = 4x - 5 is;

x = t

y = 4t - 5

Answer:

-8

Step-by-step explanation:

When you factor, you just find two numbers that add to be the first number (16) and multiply to be the second number (64). 8 and 8 both do this. So when we factor, we also add the variable into each equation because it also has been divided into two equations, and we get: (p + 8)(p +8). Notice that the equations are "+8" and not "-8" because two +8s add to give us a +16 and multiply to give us a +64. After that, we just solve the two equations to find the solutions. Subtract 8 from each equation (we do the opposite operation because 8 is positive) to get -8. Because the answer for each equation is the same our answer is -8.

Answer:

That factors into:

(p +8) * (p +8) =0

Therefore, p = -8 and p = -8

Step-by-step explanation:

Answer:

The population density of Shanghai is 2.98 times greater than the population density of Beijing

Step-by-step explanation:

we know that

To find the population density, divide the total number of people by the area

step 1

Find the population density of Beijing

[tex]\frac{20,700,000}{16,400}=1,262.2\frac{people}{km^{2}}[/tex]

step 2

Find the population density of Shanghai

[tex]\frac{23,700,000}{6,300}=3,761.9\frac{people}{km^{2}}[/tex]

step 3

Divide the population density of Shanghai by the population density of Beijing

[tex]3,761.9/1,262.2=2.98[/tex]

therefore

The population density of Shanghai is 2.98 times greater than the population density of Beijing

Answer:

(- 5, 4)

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y) → (y, x)

Hence

G(4, - 5) → G'(- 5, 4)

If the vertex G is reflected across the line y= x, the resulting coordinate will be (-5, 4)

Reflection creates a mirror image of each other. If the coordinate (x, y) are reflected across the line y = x, the resulting coordinate is (y, x)

Given the coordinate G(4, -5). If the vertex G is reflected across the line y= x, the resulting coordinate will be:

G(4, -5) = G'(-5, 4)

Note that the coordinate points are only interrchanged

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Answer:

(2u + 1)(u – 3) = 0 is equivalent to the given equation

For the second part of the question, the solutions to the equation are C and D, 7π/6 +2kπ and 11π/6 + 2kπ

Step-by-step explanation:

Answer:

17 1

3

Step-by-step explanation:

= 675+ 3 x = 53

100 8 4

------------------------- × 1000

6,750+ 375x = 13,250

375x = 6,500

x = 6,500 = 260 = 52 = 17 1

375 15 3 3

Answer:

90 because it’s a right angle and a right angle it 90 degrees

The two angles make up a right angle.

This means the two angles are complementary and need to equal 90 degrees.

X = 90 - 55.1 = 34.9

Answer:

One solution graph is when the graphs of the equations intersect, then there is one solution that is true for both equations.  

One solution = lines intersect

No solution graph is when the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

No solution: lines are parallel

Infinitive solution graph is when the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Infinitive solutions: One line

Use substitution method

3a+9=54

3a+9-9=54-9

3a= 45

divide by 3

3a/3= 45/3

a= 15

Answer is a= 15

Answer:

a = 15

Step-by-step explanation:

3a + b = 54

3a + 9 = 54

3a + 9 - 9 = 54 - 9

3a = 45

3a divided by 3 = 45 divided by 3

a = 15

3 x 15 + 9 = 54

45 + 9 = 54

54 = 54

Answer:

[tex]\begin{array}{cccc}&\text{Watch basketball}&\text{Don't watch basketball}&\text{Total}\\\text{Watch soccer}&7&12&19\\\text{Don't watch soccer}&17&13&30\\\text{Total}&24&25&49\end{array}[/tex]

Step-by-step explanation:

From the diagram you can see that

So, you can fill the table in following way

[tex]\begin{array}{cccc}&\text{Watch basketball}&\text{Don't watch basketball}&\text{Total}\\\text{Watch soccer}&7&12&19\\\text{Don't watch soccer}&17&13&30\\\text{Total}&24&25&49\end{array}[/tex]

Answer:

dude was right but heres photo proof

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

11+17 x 7=130

x=130

130 is bigger than 120 but smaller than 180

Answer:

21

Step-by-step explanation:

Since B is between A and C, we can simply add 8 and 13 to get the length of AC becauswe B is on line AC. This gives us 8+13 or 21 as the distance between A and C.

A and C is 6 because 2 sides have to be bigger than the other

For this case we have to find the inverse of a function, follow the steps below:

Then, it is observed that of option 3:

[tex]f (x) = 4x[/tex]

Replace [tex]f (x)[/tex]with y:

[tex]y = 4x[/tex]

We exchange the variables:

[tex]x = 4y[/tex]

We solve for "y":

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

Finally we change y by [tex]f ^ {- 1} (x):[/tex]

[tex]f ^ {- 1} (x) = \frac {x} {4}[/tex]

Answer:

The correct option is C

Answer:

It's the third choice.

Step-by-step explanation:

f(x) = y = 4x

x = 1/4 y

Change the y to x:

so the inverse g(x) = 1/4 x.

Since

[tex]\csc(x)=\dfrac{1}{\sin(x)}[/tex]

we have

[tex]\csc(x)\sin(x)+\tan(x) = \dfrac{1}{\sin(x)}\cdot \sin(x)+\tan(x)=1+\tan(x)[/tex]

And since

[tex]\tan(x)=\dfrac{8}{15}[/tex]

we have

[tex]1+\tan(x) = 1-\dfrac{8}{15}=\dfrac{15}{15}-\dfrac{8}{15}=\dfrac{7}{15}[/tex]

The value of cscθ sinθ + tan θ is 7/15.

cscθ is the reciprocal of sinθ.

The expression is given by cscθ sinθ + tan θ.

We can simplify this expression before solving it.

Let the expression be y = cscθ sinθ + tan θ.

cscθ = 1/sinθ

y = sinθ * 1/sinθ + tan θ

y = 1 + tan θ

The value of tan θ is given as -8/15.

We can substitute this above:

y = 1 + tan θ

= 1 - 8/15

= (15-8)/15

= 7/15

The value of the expression cscθ sinθ+ tan θ is found to be 7/15.

Therefore, the value of cscθ sinθ + tan θ is 7/15.

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Answer:

A. 10%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

The new number is the increased wage, $8.25, and the old number is the original wage, $7.50.

percent change = ($8.25 - $7.50)/($7.50) * 100%

percent change = ($0.75)/($7.50) * 100%

percent change = 0.1 * 100%

percent change = 10%

Since the percent change is a positive number, it is a percent increase.

The percent increase was 10%.

Answer: A. 10%

Answer:

A. [tex]x=6[/tex] or [tex]x=1[/tex]

Step-by-step explanation:

The given function is:

[tex]y=x^2-7x+6[/tex]

When y=0; we have:

[tex]x^2-7x+6=0[/tex]

[tex]x^2-6x-x+6=0[/tex]

Factor by grouping:

[tex]x(x-6)-1(x-6)=0[/tex]

[tex](x-6)(x-1)=0[/tex]

Either [tex](x-6)=0[/tex] or [tex](x-1)=0[/tex]

Either [tex]x=6[/tex] or [tex]x=1[/tex]

B) supplementary are two angles that add up to 180.

124+56= 180

Answer:

120 miles

Step-by-step explanation:

we know that

The speed is equal to the distance divided by the time

Let

s------> the speed in mph

d-----> the distance in miles

t -----> the time in hours

s=d/t

solve for the distance

d=s*t

It will take Adam four hours to drive to Disney Park

s=x mph

t=4 h

substitute

d=4x -----> equation A

It will take Adam 2.5 times less time if driving 45 mph faster

so

s=(x+45) mph

t=4/2.5=1.6 h

substitute

d=1.6(x+45) -----> equation B

equate equation A and equation B

4x=1.6(x+45)

Solve for x

4x=1.6x+72

4x-1.6x=72

2.4x=72

x=30 mph

Find the distance d

d=4x -----> d=4(30)=120 miles

Answer:

120 miles

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

y=mx+b

b= y-intercept

m=slope

m=-3

b=9

            [tex]\huge\boxed{Slope=-3,\;Y\;intercept=9.}[/tex]

___________________________________________________________

                                             [tex]\boxed{Explanation}[/tex]

y=mx+b.

m is always where the slope is located.

b is always where the y intercept is located.

Therefore, since -3 is located at m that is the slope and 9 is located at b so that is the y intercept.

Answer:

16.2

Step-by-step explanation:

A trick to remember for right triangles is SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Here, we have the side adjacent to the angle and the hypotenuse.  So we should use cosine.

cos 22° = 15 / x

x = 15 / cos 22°

x ≈ 16.2

Answer:

B: 25%

Step-by-step explanation:

$90.00 - $67.50 = $22.5

$22.5 / $90 = 0.25 = 25%

Answer:

B: 25%

Answer:

25%

Step-by-step explanation: