3. The equation y = 12x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
Carl’s Earnings
Time: 3 5 8 10
Money Earned: 45 75 120 150
(a) How much money does Carl earn per hour? Show your work. Write your answer in a complete sentence.
(b) Who earns more per hour? Justify your answer. Write your answer in a complete sentence.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to put a title, label the axes and use an appropriate scale. Use a ruler or straightedge to draw your lines.

Answer:

24.75 i just had this question got it wrong but there's the correct answer

A graph shows that the best choice is ...

... b. 2.3

_____

Finding real roots of higher-degree polynomials is often done most easily with the help of a graphing calculator.

You can write equations for total pay, but in the end, you want to find the amount of sales that makes the difference in commission make up for the difference in base pay.

... (commission rate difference) × sales = (base pay difference)

To find the sales, divide by its coefficient:

... sales = (base pay difference)/(commission rate difference)

Sales = (20,000 -17,000)/(.12 -0.05) = 3000/0.07 ≈ 42,857.14

You need to sell more than $42,857.14 for option A to pay more.

Sales = (25,000 -20,000)/(.09 -.03) = 5000/0.06 ≈ 83,333.33

You need to sell more than $83,333.33 for option A to pay more.

_____

In each case, total pay is ...

... total pay = (base pay) + (commission rate) × sales

For the two options to give the same total pay, the difference in total pay is zero. That occurs when ...

... 0 = (base pay₁) + (commission rate₁) × sales -((base pay₂) + (commission rate₂) × sales)

... 0 = (base pay₁) - (base pay₂) - sales × ((commission rate₁) -(commission rate₂))

Solving for sales, we get the above result:

... sales = ((base pay₂) -(base pay₁))/((commission rate₁) -(commission rate₂))

Solution 8:

We are given base salary of 17000 and 12% of sales.

Les us say salesperson does sales of x amount.

So 12% of x is 0.12x

Total salary = 17000+0.12x

In second case base salary is $20000 and commission of 5% of sales.

Total salay=20000+0.05x

Now for option A to pay more we have:

[tex]17000+0.12x>20000+0.05x[/tex]

Solving we get:

[tex]0.07x>3000[/tex]

x>42,857

Answer: Option A need to make sales of $42,857 more.

Solution 9:

We are given base salary of 20000 and 9% of sales.

Les us say salesperson does sales of x amount.

So 9% of x is 0.09x

Total salary = 20000+0.09x

In second case base salary is $25000 and commission of 3% of sales.

Total salay=25000+0.03x

Now for option A to pay more we have:

[tex]20000+0.09x>25000+0.03x[/tex]

Solving we get:

[tex]0.06x>5000[/tex]

x>83,333.33

Answer: Option A need to make sales of $83,333.33 more.

Answer:

22.9 m

Step-by-step explanation:

Circumference = π × diameter

Using a calculator to evaluate 7.3π, we get 22.933626...

Rounding this to the nearest tenth gives 22.9. Units are meters.

The circumference of a circle with a diameter of 7.3m is approximately 22.9 meters.

The circumference of a circle is calculated by using the formula C = πd, where 'C' is the circumference and 'd' is the diameter. Given that the diameter of the circle is 7.3 m, you can plug this value into the formula to find the circumference.

So, C = π × 7.3

To find the circumference of a circle with diameter 7.3m, we can use the formula C = π x d, where C is the circumference and d is the diameter. Plugging in the given value, we get C = 3.14 x 7.3 = 22.922. Rounding to the nearest tenth, the circumference is approximately 22.9 meters.

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Answer: Please, see the attached file.

Thanks.

Solution:

We can graph using the intercepts:

(1) y-intercept, when x=0

y=4x-3→y=4(0)-3→y=0-3→y=-3

Point=(x,y)=(0,-3)

(2) x-intercept, when y=0

y=4x-3→0=4x-3

Solving for x: Adding 3 both sides of the equation:

0+3=4x-3+3

3=4x

Dividing both sides of the equation by 4:

3/4=4x/4

3/4=x

x=3/4=0.75

Point=(x,y)=(3/4,0)=(0.75,0)

With these pair of points (0, -3) and (0.75,0) we can draw the right line

the new price is reduced by 10% of $3000.

10% of $3000 is one tenth of 3000, so 3000/10 = $300

so the original price was reduced by $300 to be $2700

Answer:

1 - Circle      2 - Concentric          3 - Congruent       4 - Diameter       5 - Radius

Step-by-step explanation:

1. the set of all points in a plane that are at a given distance from a given point in the plane

Circle

2. two or more circles that lie in the same plane and have the same center

Concentric Circles

3. circles that have equal radii

Congruent Circles

4. a chord of a circle that contains the center of the circle

Diameter

5. a segment joining the center of a circle to a point of the circle

Radius

The given vocabulary words are all related to the concept of circles in mathematics. Each term is defined in respect to a characteristic or property of a circle. The terms covered were circle, radius, diameter, congruent circles and concentric circles.

The vocabulary words match with the correct definitions as follows:

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Answer:

7x+6 = 5(x+6)

Step-by-step explanation:

x represents Harry's age now, so 7x represents Nick's age now. (Nick is 7 times as old as Harry.)

In 6 years, Harry's age will be x+6.

In 6 years, Nick's age will be 7x+6, which is 5 times Harry's age at that time, 5(x+6). Hence an appropriate equation is ...

... 7x+6 = 5(x+6)

_____

Please note that finding the value of x does not give the answer to the question. We are asked for Harry's age in 6 years, so the answer is x+6 (=18).

Answer:

Its D) aka the last option

Step-by-step explanation:

Answer: First option. y-15=5(x-3)

Solution:

We can take any pair of points of the table. For example:

P1=(3, 15)=(x1, y1)→x1=3, y1=15

P2=(5, 25)=(x2,y2)→x2=5, y2=25

And we can find the slope m using the following formula:

m=(y2-y1)/(x2-x1)

m=(25-15)/(5-3)

m=(10)/(2)

m=5

Now we can apply the point-slope formula to find the equation of the right line:

y-y1=m(x-x1)

Replacing y1=15, m=5, and x1=3

y-15=5(x-3)

The equation in point-slope form that represents the plant's growth over time would be 'y - 9 = 3x', given that the y-intercept is 9 and the slope is 3.

Based on the information given, it is clear that the y-intercept where the line intersects the y-axis is 9 and the slope of the line is 3. We know that y stands for the height of the plant and x for time in months. Using these values, the equation in point-slope form, which is normally written as y - y1 = m(x - x1) where m is the slope and (x1, y1) is a given point on the line, can be simplified assuming that x1=0 and y1 is our y-intercept which is 9.

Therefore, the equation of the line that represents the growth of the plant over time in point-slope form would be y - 9 = 3x.

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An angle bisector divides the angle into equal halves.

Given that:

[tex]\angle ABD = 52^o[/tex]

From the question, we understand that:

BC bisects [tex]\angle ABD[/tex]

This means that:

[tex]\angle ABD = 2 \times \angle ABC[/tex] ---- By definition of midpoint

So, we have:

[tex]52^o= 2 \times \angle ABC[/tex] ---- By substitution property

Divide both sides by 2

[tex]26^o= \angle ABC[/tex] ---- By division property of equality

So, we have:

[tex]\angle ABC = 26^o[/tex] --- By symmetric property of equality

Hence,

[tex]\angle ABC = 26^o[/tex] --- proved

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To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles.

To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles. Here is a step-by-step proof:

Therefore, we have proven that m∠ABC = 26°.

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Answer:

Evaluate from left to right

Evaluate using order of operations

Step-by-step explanation:

To evaluate any complex expression that contains addition, subtraction , multiply or divide, exponents , parenthesis etc we use order of operation.

Order of operation is PEMDAS

To evaluate , first we simplify the parenthesis part and then exponents

Then do the multiplication and division from left to right.

Finally we do addition and subtraction from left to right

So the rules for evaluating a complex expression is

Evaluate from left to right

Evaluate using order of operations

This is because the total needs to be equal to 180 degrees. Since obtuse angles are greater than 90 degrees, then it needs an acute angle (lower than 90 degrees) to supplement it to equal 180

(d)

This equation does not factor, but we can solve using the quadratic formula

x = ( - b ± √(b² - 4ac) )/ 2a

given the equation in standard form : ax² + bx + c = 0

divide through by - 1, to obtain

x² + 7x + 2 = 0

with a = 1, b = 7 and c = 2, then

x = ( - 7 ± √(49 - 8) ) / 2

  = ( - 7 ± √41 ) / 2

x = - [tex]\frac{7}{2}[/tex] ± √41 / 2 → (d)

This question is one where the numbers don't add up. You should ask your teacher to show you how to work it.

___

Let n, d, q represent the numbers of nickels, dimes, and quarters Landau has, respectively.

... d = 7n +3 . . . . . the number of dimes is 3 more than 7 times the number of nickels

... q = 2n -4 . . . . . the number of quarters is 4 less than 2 times the number of nickels

... 5n +10d +25q = 330 . . . . the total value of the coins is 330 cents

Using the first two equations to substitute into the last one, we get

... 5n +10(7n +3) +25(2n -4) = 330

... 125n -70 = 330 . . . . . . eliminate parentheses, collect terms

... n = 400/125 . . . . . . . . add 70, divide by 125

... n = 3.2

... d = 7·3.2 +3 = 25.4

... q = 2·3.2 -4 = 2.4

Landau has 3.2 nickels, 25.4 dimes, and 2.4 quarters.

0.57

Writing a percentage as a decimal is no big mystery. The percent symbol (%) is simply a shorthand way to write "per hundred" or "divided by 100" (/100).

So ...

... 57% = 57/100

You know from place value and the way you read numbers that fifty-seven hundredths written as a decimal is ...

... 0.57

All choices agree that it is "six and (something)".

So, you're asked to figure out whether 0.2 + 0.07 = 0.27 is

You can start with the original expanded form to decide

... (2 × 0.1) + (7 × 0.01) = (20 × 0.01) + (7 × 0.01)

... = (20+7) × 0.01 = (27 × 0.01)

Since you know 0.01 is 1 hundredth, you know the correct choice is ...

... six and twenty-seven hundredths

the answer would be -six and twenty-seven hundredths

169+354=523 I think thats what you were asking

1. To simplify -(x-4) change the sign on each term inside parenthesis:

-(x-4) would become -x+4

The answer is B.

2. -4xy / 3x

Cancwl the common factor out

-4xy / 3x  (cross out the x's)

-4y /3

The answer is C.

Answer:

C thank you next

Step-by-step explanation:

Opposite sides of a parallelogram are equal lengths, so ...

... AB = CD

... 6x +30 = 2y -10

and

... BC = AD

... 2x -5 = y -35

_____

The equations can be put in standard form to get

... 3x -y = -20

... 2x -y = -30

Subtracting the second from the first, we get

... x = 10

Solving for y, we have

... y = 2x+30 = 2·10 +30 = 50

The values of x and y are x=10, y=50.

_____

AB = 6x+30 = 90

BC = 2x-5 = 15

10, 267

the fraction of voters opposed from the survey = [tex]\frac{250}{974}[/tex]

Assuming this fraction as a basis then the predicted number against will be

40, 000 × [tex]\frac{250}{974}[/tex] = 10, 267 ( nearest while number )

Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...

... 30-60-90: 1 : √3 : 2

... 45-45-90: 1 : 1 : √2

The long side of ΔMDX is 10√3, so the other two sides are

... MX = MD(√3/2) = 15

... DX = MD(1/2) = 5√3

The short side of ΔMNX is MX = 15, so the other two sides are

... NX = MX(1) = 15

... MN = MX(√2) = 15√2

Then the perimeter of ΔDMN is ...

... P = DM + MN + NX + XD

... P = 10√3 +15√2 + 15 + 5√3

... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN

The Perimeter of △DMN is 35.9

First step

sin 45 / 10 = sin 60/ x

x = sin 60 × 10 / sin 45

= √(3)/2 × 10 × 2 / √(2)

= √(3) / 2 × 10 ×√(2)

= 5 × √(6)

Second step

sin 45 / 10 = sin 75 / y

y = sin 75 × 10 / sin 45

= sin 75 × 10 × 2 / √(2)

= sin 75 × 10 ×√(2)

= 13.066054

Now let determine Perimeter of △DMN

Perimeter of △DMN=10 + 5*√(6) + 13.06605425

Perimeter of △DMN= 35.90770275                      

Perimeter of △DMN=35.9

Inconclusion  Perimeter of △DMN is 35.9                                

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x = 2x + 1

x - 2x = 1

-x = 1

x = -1

Solution :

Given , function[tex]f(x) = 2x+1[/tex]

we have to find the inverse of the function f(x)

Substitute y for f(x):  [tex] y=2x+1[/tex]

Subtract 1 from both sides, [tex]y-1=2x+1-1[/tex]

Divide both sides by 2, [tex]\frac{y-1}{2} = x[/tex]

[tex]\Rightarrow x=\frac{y-1}{2}[/tex]

Substitute [tex]f^{-1}(y)\:for\:x [/tex][tex]\RIghtarrow f^{-1}(y)=\frac{y-1}{2}[/tex]

Hence, The inverse of the function [tex]f(x)=2x+1\:is f^{-1}(y)=\frac{y-1}{2}[/tex]

4!(7 – 4)! is equivalent to (4!)(3)!

3! = 3*2*1 = 6, and 4! = 4(6) = 24.

Thus, 4!(7 – 4)! = 24(6) = 144

You can eliminate fractions by multiplying the whole thing by 7.

... -x +28 ≥ 21x

Now, add x to get all x-terms on the right. Then, divide by the coefficient of x.

... 28 ≥ 22x

... 28/22 ≥ x

This fraction can be reduced, so we have ...

... A. x ≤ 14/11

red red red red red yellow yellow yellow yellow yellow yellow

hope this helps :)

Answer:

110

Step-by-step explanation: