Kali just started a new sales floor job to save for college. She earns 15.75 plus a flat fee of 50 . She wants to earn between 200 and 400 . The following inequality represents her earning potential

200 ≤ 15.75x + 50 ≤ 400 Solve the inequality PLEASE HELP ASAP
!!

Answers

Answer 1

Solving the inequality the range of x becomes 9.523 ≤ x ≤ 22.222.

The given inequality which needs to be solved is 200 ≤ 15.75x + 50 ≤ 400.

If 50 is subtracted from each part or side of the inequality we get,

200 - 50 ≤ 15.75x + 50 - 50 ≤ 400 -50 which will be equal to,

150 ≤ 15.75x ≤ 350, now to solve this inequality divide the given inequality with the coefficient of x which is 15.75 to get the range of x.

Hence the inequality becomes 150÷15.75 ≤ 15.75x÷15.75 ≤ 350÷15.75. solving this equation the value of x becomes 9.523 ≤ x ≤ 22.222.

So the range of inequality that represents Kalis earning potential ranges from (9.523,22.222) for the given question.

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Related Questions

help it’ll be greatly appreciated:(

Answers

The complete table of the algae area is:

Day 1  2 3 4 5 6

Area 1/2 1 2 4 8 16

What is meant by an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

The initial area exists given as;

A(1) = 1/2 square meters

When it doubles every day, we have:

A(n) = 2 × A(n - 1) where A(1) = 2

So, we contain the following values

A(2) = 1/2 × 2 = 1

A(3) = 1 × 2 = 2

A(4) = 2 × 2 = 4

A(5) = 4 × 2 = 8

A(6) = 8 × 2 = 16

Therefore, the complete table is:

Day 1  2 3 4 5 6

Area 1/2 1 2 4 8 16

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Find the formula round your answer to two decimal places if necessary

Answers

Explanation

Give that

[tex]\begin{gathered} f(x)=\frac{1}{x} \\ \\ g(x)=\frac{x+1}{3} \end{gathered}[/tex]

To get the value of

[tex](fog)(x)[/tex]

we will have

[tex](f\text{ o g})(x)=f\left(\frac{x+1}{3}\right)=\frac{3}{x+1}[/tex]

The value (f o g) (x) is

[tex]\left(fog\right)x=\frac{3}{x+1}[/tex][tex]The\:domain\:of\:a\:function\:is\:the\:set\:of\:input\:or\:argument\:values\:for\:which\:the\:function\:is\:real\:and\:defined[/tex]

The graph is

Thus, the Domain is

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x<-1\quad \mathrm{or}\quad \:x>-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-1\right)\cup \left(-1,\:\infty \:\right)\end{bmatrix}[/tex]

Jon earns $13.75 per hour at his landscaping job. if the hours he works is represented by the variable h, then which equation below could be solved to find out how many hours he must work to earn $50.(1) h/13.75 = 50/1. (3) 50h = 13.75(2) h + 13.75 = 50. (4) 13.75h=50

Answers

13.75h = 50 This is the answer

I think it euqation 4

patterns in proportional relationships, need help with the graph and the process table, i need to find a algebraic rule that represents the relationship between the number of pizzas, x, and the total cost, y.

Answers

Since the cost of each medium pizza is $7, then

Assume that the number of pizzas is x and the total cost is y, then

Multiply x by x to find y

The algebraic rule is

[tex]y=7x[/tex]

a) Let us complete the table

x: Process: y

0 0 x 7 = 0 0

1 1 x 7 = 7 7

2 2 x 7 = 14 14

3 3 x 7 = 21 21

4 4 x 7 = 28 28

a) We need to find the cost of 10 pizzas, then

Substitute x by 10 in the algebraic rule

[tex]\begin{gathered} y=7(10) \\ y=70 \end{gathered}[/tex]

The cost of the 10 pizzas is $70

b) If you have exactly $84, then substitute y by 84 to find x

[tex]\begin{gathered} y=84 \\ 84=7x \end{gathered}[/tex]

Divide both sides by 7 to find x

[tex]\begin{gathered} \frac{84}{7}=\frac{7x}{7} \\ 12=x \end{gathered}[/tex]

You can buy 12 pizzas buy $84

c) If you buy 0 pizza, then the cost of it is

[tex]\begin{gathered} x=0 \\ y=7(0) \\ y=0 \end{gathered}[/tex]

Since zero multiplied by any number give zero

The cost of zero pizza is zero

Because 0 x $7 = $0

The quotient of b and 5 is -30.

Answers

A QUOTIENT IS A RESULT OF TWO TERMS DIVIDING EACH OTHER THEREFORE MATHEMATICALLY THE STATEMENT MEANS

[tex]b \div 5 = - 30 \\ \frac{b}{5} = - 30[/tex]

I CONVERTED b÷5 SO THAT I CAN USE CROSS MULTIPLICATION

[tex]b = - 30(5) \\ b = - 150[/tex]

b is -150

HOPE THIS HELPS.

Solve 3 < 2x + 1 ≤9 I’m so confused

Answers

Answer:

1 < x  ≤4

Step-by-step explanation:

3 < 2x + 1 ≤9

Solve for x

Subtract 1 from all sides

3-1 < 2x + 1-1 ≤9-1

2 < 2x  ≤8

Divide by 2

2/2 < 2x/2  ≤8/2

1 < x  ≤4

Solve by substitution.2x + y = -9(3x + 5y = 4([?],[])

Answers

The given system is

[tex]\mleft\{\begin{aligned}2x+y=-9 \\ 3x+5y=4\end{aligned}\mright.[/tex]

Let's isolate y in the first equation.

[tex]\begin{gathered} 2x+y=-9 \\ y=-9-2x \end{gathered}[/tex]

Then, we replace the equation we've got in the second equation of the system.

[tex]3x+5(-9-2x)=4[/tex]

Now, we solve for x.

[tex]\begin{gathered} 3x-45-10x=4 \\ -7x=4+45 \\ -7x=49 \\ x=\frac{49}{-7} \\ x=-7 \end{gathered}[/tex]

We use this value to find y.

[tex]\begin{gathered} y=-9-2(-7) \\ y=-9+14 \\ y=5 \end{gathered}[/tex]Therefore, the solutions are x = -7 and y = 5.

Graph the equation of a line y= X/6 -3

Answers

Solution

To graph the line y = x/6 - 3,

Since the y-intercept is -3

This picture should be of help

What is the exact circumference of a
circle with diameter 48 millimeters?

Answers

The circumference of circle is 150.72 millimetres.

In simpler terms, circumference in the perimeter of circle. Thus, it will represent the measure of length of the line of circle. The relationship between circumference of circle and it's diameter will be represented as formula -

C = πd, where C is circumference and d is diameter.

Keep the value of diameter in the formula to find the exact circumference of the circle.

Circumference = 3.14×48

Performing multiplication to find the circumference of the circle

Circumference = 150.72 millimetres.

Therefore, the circumference of the circle with 48 millimetres diameter is 150.72 millimetres.

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weiyr the coordinates of the two points on the line then find the slope

Answers

ANSWER:

two points are (3,4) and (3,0)

the slope is undefined or indeterminate

SOLUTION:

since the denominator of the slope (change in x) is 0, the slope, change in y over change in x is indeterminate

Are all of these choices correct?

Answers

Answer:

Yep! Got it alllllll right.

which graph best represents the equation y=x-1i’ll send the other photo :)

Answers

The given equation is

[tex]y=x-1[/tex]

This equation belongs to an uptrend line because the variable x is positive. The line has to have a y-intercept at -1 because that's the constant term.

Following the characteristics of the equation, we can deduct that the correct graph is A.

Which angle is congruent

Answers

Answer:

they can be acute, obtuse, exterior, or interior angles

Step-by-step explanation:

Congruent angles are two or more angles that are identical to each other.  the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles.

Find the equation for the line through points (2,0) and (8,4) use y=Mx+b

Answers

Explanation:

To find the equation with the form y = mx + b, we can use the following equation:

[tex]y=m(x-x_1)+y_1[/tex]

Where m is the slope and it is ca

Factor p(x) into linear factor

Answers

The two other linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial are  (x+1)(x-4)

In the above question, A cubic polynomial is given as follows

P(x) = [tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 7x - 4

K = -1

We need to find the, linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial

So, we got that ( x +1 ) is a one linear factor of P(x). As the highest degree of the polynomial is 3 so there will be three zeroes of the given polynomial. Therefore, We need to find others two

If we divide P(x) = [tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 7x - 4 by ( x + 1 ) by long division method we'll get, [tex]x^{2}[/tex] -3x - 4

Now we'll solve the quotient by squaring method, to get the other two

Let's say h(x) =  [tex]x^{2}[/tex] -3x - 4

h(x) =  [tex]x^{2}[/tex] -3x - 4

h(x) =  [tex]x^{2}[/tex] -( 4 -1) x - 4

h(x) =  [tex]x^{2}[/tex] -4x + x - 4

h(x) =  x( x-4) + 1( x -4 )

h(x) =  (x+1)(x-4)

Therefore, the two other linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial are  (x+1)(x-4)

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There are 16 triangles and 12 squares. What is the simplest ratio of squares to triangles?

Answers

Answer: 3:4

Step-by-step explanation:

The difference of a number and 9 is fewer than 4

Answers

Answer:

x-9<4

a number=x

difference = -

9=9

x-9

fewer than - < 4

x-9<4

please hellppp!!!!!!!!!

Answers

The answer is:

C. 3/10

Answer:

C

Step-by-step explanation:

A political gathering in South America was attended by 8,475 people. Each of South America's 12 countries and 3 territories was equally represented. How many representatives attended from each country?​

Answers

There were 707 representatives who attended political gatherings from each country in South America.

We have been given that a political gathering in South America was attended by 8,475 people.

Each of South America's 12 countries and 3 territories were equally represented.

The number of representatives attended from each country is the ratio of the total number of people in the gathering to the total number of countries.

The number of representatives :

⇒ total number of people in the gathering /  total number of countries

The number of representatives = 8,475 / 12

The number of representatives = 706.25 ≈ 707

Hence, there were 707 representatives who attended political gatherings from each country.

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The price p and the quantity x sold of a small flat-screen television set obeys the demand equation below.
a) Express the revenue R as a function of x. Use the formula R=px
b) How much should be charged for the television set if there are 70 television sets in stock?
c) How much should be charged for the television set if there are 1250 television sets in stock?
d) What is the revenue when there are 1250 sets in stock?
p= .14x +350

Answers

a. The revenue R as a function of x will be R = px.

b. The amount that charged for the television set if there are 70 television sets in stock is R / 70.

c. The amount that charged for the television set if there are 1250 television sets in stock is R / 1250

d. The revenue when there are 1250 sets in stock is 1250p

How to illustrate the information?

1. From the information, the price p and the quantity x sold of a small flat-screen television is.

given. The revenue will be:

= Price × Quantity

= p × x.

= px

b. The amount that charged for the television set if there are 70 television sets in stock will be:

R = px

R = 70p

p = R / 70

c. The amount that should be charged for the television set if there are 1250 television sets in stock will be:

R = px

R = 1250p

p = R / 1250

d. The revenue when there are 1250 sets in stock will be:

= Price × Quantity

= p × 1250

= 1250p

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Solve the equation for x, accurate to three decimal places: e4x − e2x = 12.x = 1.280x = 1.866x = 0.549x = 0.693

Answers

Given:

[tex]e^{4x}-e^{2x}=12[/tex]

To Determine: The value of x

Solution

[tex]\begin{gathered} e^{4x}-e^{2x}=12 \\ (e^x)^4-(e^x)^2=12 \end{gathered}[/tex][tex]\begin{gathered} let:a=e^x \\ Therefore, \\ (e^x)^4-(e^x)^2=12 \\ a^4-a^2=12 \\ a^4-a^2-12=0 \end{gathered}[/tex]

Solve the derived equation by factorizing completing

[tex]\begin{gathered} a^4-a^2-12=0 \\ a^4-4a^2+3a^2-12=0 \\ a^2(a^2-4)+3(a^2-4)=0 \\ (a^2-4)(a^2+3)=0 \\ a^2-4=0,or,a^2+3=0 \end{gathered}[/tex][tex]\begin{gathered} a^2-4=0 \\ a^2-2^2=0 \\ diiference\text{ of two square is expanded as} \\ a^2-b^2=(a-b)(a+b) \\ Therefore \\ a^2-2^2=0 \\ (a-2)(a+2)=0 \\ a-2=0,or,a+2=0 \\ a=2,a=-2 \end{gathered}[/tex][tex]\begin{gathered} Also,a^2+3=0 \\ a^2=-3(No\text{ solution because square root of a negative number is an imaginary number\rparen} \end{gathered}[/tex]

Therefore

[tex]a=2,or,a=-2[/tex][tex]\begin{gathered} e^x=a \\ e^x=2,or,e^x=-2(no\text{ solution\rparen} \\ x=ln2 \\ x=0.693 \end{gathered}[/tex]

Hence, the value of x is 0.693


The grocery store is having a sale on frozen vegetables. 4 bags are being sold for
$11.96. At this rate, what is the cost of:
9 bags

Answers

Answer: $98.67

Step-by-step explanation:

Answer:

$26.91

Step-by-step explanation:

11.96 divided 4 = 2.99

2.99 x 9 = $26.91

Laura won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 3 cameras, and 2 headsets. Find the odds against Laura winning a camera. Find the odds in favor of Laura winning a camera.

Answers

The odds in favor of Laura winning a camera 1/3.

What are the odds in favor?

The ratio of favorable outcomes to bad outcomes is known as the odds of the probability of a specific event.

The ratio of positive outcomes to unfavorable outcomes determines the odds in favor of a specific event.

Odds against are determined by dividing the number of unfavorable results by the number of favorable results.

9 prizes consist of 4 rings, 3 cameras, and 2 headsets.

Odds in favor = ( Number of favorable outcomes/ Number of unfavorable outcomes)

The odds in favor of Laura winning a camera = 3/9= 1/3

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What is the area of the triangle shown below?131310units2

Answers

SOLUTION

We want to find the area of the triangle in the image.

To do this, we will make use of the Heroes formula which states

[tex]\begin{gathered} A=\sqrt{s(s-a)(s-b)(s-c)} \\ where\text{ s =}\frac{a+b+c}{2} \\ a,b\text{ and c are the sides of the triangle } \end{gathered}[/tex]

applying this, we have

[tex]\begin{gathered} s=\frac{13+13+10}{2} \\ s=\frac{36}{2} \\ s=18 \end{gathered}[/tex]

The area A becomes

[tex]\begin{gathered} A=\sqrt{18(18-13)(18-13)(18-10)} \\ =\sqrt{18\times5\times5\times8} \\ =\sqrt{3,600} \\ =60\text{ units}^2 \end{gathered}[/tex]

Hence the answer is 60 square units

Select ALL the correct answers. Consider the graph given below. A diagonal curve declines from (negative 2, 10), (0, 6), (1, 4), (2, 2), (3, 0), (4, negative 2), (5, negative 4), (6, negative 6), (7, negative 8),and (8, negative 10) on an x y coordinate plane. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above. Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6 Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2

Answers

The sequence of transformations needed to transform the parent function f(x) into the linear function g(x) = 6 - 2x is given as follows:

Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units.Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units.

Linear function and transformation

A linear function is defined according to the following rule:

y = mx + b.

In which:

m is the slope of the function, which is by how much y changes by when x changes by 1.b is the intercept of the function, which is the value of y when x = 0.

From the stated graph, we have that when x = 0 and y = 6, and when x increases by 1, y decays by 2, hence the function is defined as follows:

y = -2x + 6.

The parent function is:

f(x) = x.

Then, to generate the transformed function, we have that:

x -> -x, hence the function was reflected over any of the axis.-x -> -2x, hence there was a vertical stretch by a factor of 2.-2x -> -2x + 6, meaning that the function was shifted up 6 units.

Using these three bullet points, the correct options were chosen.

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Answer:

Your welcome

Step-by-step explanation:

Find the measures of the sides of the sides of triangle JKL then classify it by its sides if J(-7, -7), K(-9 1), L(-1, -1)

Answers

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ J(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-7})\qquad K(\stackrel{x_2}{-9}~,~\stackrel{y_2}{1}) ~\hfill JK=\sqrt{(~~ -9- (-7)~~)^2 + (~~ 1- (-7)~~)^2} \\\\\\ ~\hfill JK=\sqrt{( -2)^2 + ( 8)^2} \implies \boxed{JK=\sqrt{ 68 }}[/tex]

[tex]K(\stackrel{x_1}{-9}~,~\stackrel{y_1}{1})\qquad L(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1}) ~\hfill KL=\sqrt{(~~ -1- (-9)~~)^2 + (~~ -1- 1~~)^2} \\\\\\ ~\hfill KL=\sqrt{( 8)^2 + ( -2)^2} \implies \boxed{KL=\sqrt{ 68 }} \\\\\\ L(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad J(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-7}) ~\hfill LJ=\sqrt{(~~ -7- (-1)~~)^2 + (~~ -7- (-1)~~)^2} \\\\\\ ~\hfill LJ=\sqrt{( -6)^2 + (-6)^2} \implies \boxed{LJ=\sqrt{ 72 }}[/tex]

well, let's notice, the triangle has two sides that are twins, JK and KL, that means is an isosceles, and isosceles triangle is a triangle with twin sides.

HELP PLEASE URGENT I ONLY HAVE 30MINS PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE

Answers

Using the properties of parallel lines we find the value of x is 9 and the value of y is 13.

In geometry, parallel lines are coplanar, straight lines that never intersect.

Any parallel planes in the same three-dimensional space are those that never intersect. Parallel curves are those that have a predetermined minimum separation between them and do not touch or intersect. If a line and a plane in three-dimensional Euclidean space do not intersect at a point, they are also said to be parallel. On the other hand, skew lines are two noncoplanar lines. A transversal is a line that crosses across two other lines in the same plane at two separate points. Transversals play a crucial role in establishing if two or more other lines in the Euclidean plane are parallel.

15). In the given figure the two angles represented by 12x+1 and 15x -26 are equal. as they are alternate exterior angles.

We know from the property of parallel lines that they are equal.

Therefore:

12x+1 = 15x -26

or, 12x-15x = -26-1

or, -3x = -27

or, x = 9

Therefore the angles are 12x + 1 = 109

Now,

109 + 4y-9 +28 =180

or, 4y = 180 - 128

or, y = 13.

Therefore as the line l and m are parallel the value of x is 9 and the value of y is 13 .

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Find the area of the figure (Please respond I need help)

Answers

Answer: 32 unit squared

Step-by-step explanation:

To find the area you multiply the amount of unit squares on one side of the shape and multiply it by the amount of unit squares at the top of the shape.

Answer:

to find the area of a shape you want to use the formula A=wl which is area is equal to width multiplied by length.

for this exact problem you want to count the squares on one short side and one long side. when you get the two numbers you multiply them

answer is: 4x8=32

hope this helped!

An object is dropped from a height of 144 feet off the ground. The height
h
of the object after
t
seconds can be found using the function
h
(
t
)
=
144

16
t
2


When will the height be 128 feet?
seconds

When will the object reach the ground?
seconds

Answers

Answer:

The height will reach 128 feet after 1 second.

The object will reach the ground after 3 seconds.

Step-by-step explanation:

Plug in the height into the equation: h(t)=144-16t^2

Solve for t.

Ex:

128=144-16t^2, subtract 144 on both sides

-16=-16t^2, divide -16 on both sides

1=t^2, find the square root of both sides

1=t

Sam borrowed money from a credit union for 3 years and was charged simple interest at an annual rate of 2%. The total interest that he paid was $48. How much money did he borrow?
show step by step

Answers

Answer:

the amount of money sam has borrowed was 2400

he paid interest 2%

total intreast 48$

48÷3 = $16 a year

2%= $16

16×5= $80 for 10%

$80× 10= 800

800×3= 2400 total amount was borrowed

so 2400-2%= 2352

2400- 2352= 48

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