Mark earns $300 per month plus an additional 2% on all of his sales. Last month he sold $59,000. What was Mark’s income for the month?

Answer:

6

Step-by-step explanation:

To solve this, divide 9 by 1 1/2.

To make this easier to divide, convert 1 1/2 into an improper fraction.

1 1/2 = 3/2

Dividing 9 by 3/2 is the same as multiplying 9 by 2/3

Multiply the numerators and denominators

[9 is the same as 9/1]

9 x 2 = 18

1 x 3 = 3

18/3 = 6

So, Emma can paint 6 rooms.

I hope this helps!

Answer:

I believe the answer would be six rooms

Step-by-step explanation: This may seem a little difficult, but really it is quite simple. All you have to do is divide the amount of paint she has (9) by how much it takes to paint one room (1 1/2). The equation would be,            (9 / 1 1/2) which equals 6. I hope this helps.

Here is the work and explained sentence :)

Answer: 12 blue marbles

Step-by-step explanation: Set up a proportion.

4/5 = x/15

Solve for x, the number of blue marbles. Cross multiply. You will get 60 = 5x

Divide by 5 on each side.

x = 12

There are 12 blue marbles.

13 is prime because there is only 1 factor 1 and 13.

Answer:

prime

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

1/3 times 1/3 = 1/9

The fraction of lemonade bottle each of them get is 16.67/100 or 16.67 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Jesse has a bottle of lemonade

The lemonade is 1/3 empty

So , the amount of lemonade left in the bottle is = 1 - 1/3

                                                                                = 2/3

The number of friends Jesse shares the lemonade with = 3 people

So , the total number of people = 4 people

Now , the equation will be

Total lemonade each person get =
Amount of lemonade left in the bottle / total number of people

Total lemonade each person get = ( 2/3 ) / 4

                                                       = 2/12

                                                       = 1/6

                                                       = 0.1667

Hence , The fraction of lemonade bottle each of them get is 16.67/100 or 16.67 %

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So, you just have to recognize the line splitting the circle in half, line LJ.  So, if JC (arc) is 94, then do 180-94=86.  ∠LJC is an inscribed angle, so it's half of 86, which is 43°.

43° is your answer.

Answer:

3

Step-by-step explanation:

The median is the # in the middle, and since 3 is used 3 times, it´s the most used # and is in the middle

[tex]\huge{\boxed{3}}[/tex]

The median is the middle number when the numbers are arranged least to greatest, which they already are.

Take numbers away two at a time, one from the front and one from the back.

1,2,3,3,3,8,8,11,15

2,3,3,3,8,8,11

3,3,3,8,8

3,3,8

This means that the median is [tex]\boxed{3}[/tex]

20 children can get a serving of popcorn

Since each serving is 1/4 of a cup, each cup can provide for 4 children. Since there are 5 total cups, multiplying 5 by 4 will give you 20.

The answer is 20 because first you have to set up a division equation. It would be 5 divided by 1/4.You can’t divid with a fraction so you must change it into a multiplication sentence. The new equation would now be 5 times 4/1 and the answer would be 20. Therefore, Ms.Chloe can freed 20 children.

A circle is a curve sketched out by a point moving in a plane. The measure of the angle is 72°.

And, The measure of the angle is 126°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Now, Let the angle that turns through 1/5 of the circle be x.

We know that the measure of the center of a circle is 360°, while it is given that the angle turns through 1/5 of the circle.

Therefore, the angle will turn 1/5 of 360°.

⇒ x = 1/5 × 360°

⇒ x = 72°

Thus, the measure of the angle is 72°.

And, For angle that turns through 3/5 of a circle.

The value of angle is,

⇒ x = 3/5 × 360°

⇒ x = 216°

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Answer:distance=(3,3)

Step-by-step explanation:

5-2=3

Answer:

The answer is 3 square root 2.

Step-by-step explanation:

Using the distance formula and you will get 4.242...... and then you will get 3 square root 2.

Answer:

The larger square is 6 cm on a side

Step-by-step explanation:

Let x = the side of square 1

Let y = side of square 2

A= s^2

Area of square 1 = x^2

Area of square 2 = y^2

The total area of both squares = x^2 +y^2 = 45

We know that y = 2x

Substituting in

x^2 + (2x)^2 = 45

x^2 +4x^2 = 45

5x^2 = 45

Divide each side by 5

5x^2/5 = 45/5

x^2 = 9

Take the square root of each side

sqrt(x^2) = sqrt(9)

x = 3

y = 2x = 2(3) = 6

The larger square is 6 cm on a side

Answer:

y = 1/2x + 5/2

Step-by-step explanation:

y-3=1/2(x-1).

To get from point slope to slope intercept, distribute the slope

y-3 = 1/2 x -1/2

Then add 3 to each side

y-3+3 =1/2 x -1/2 +3

y = 1/2x +2 1/2

Or if we want the last term as an improper fraction

y = 1/2x + 5/2

the correct answer is D

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = 6, thus

y = 6x + c ← is the partial equation

To find c substitute (1, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 6x - 5 → D

Answer:

At the beginning

16 men and 24 women

In the end

16 men and 20 women

Step-by-step explanation:

Call x the number of men on the bus and call y the number of women on the bus.

We know that the initial ratio between men and women is 2: 3

And the final ratio is 4: 5

So

[tex]\frac{x}{y}=\frac{2}{3}\\\\y = \frac{3}{2}x[/tex]   (1)

After the 4 women are down, the proportion is:

[tex]\frac{x}{y-4}=\frac{4}{5}\\\\y-4 = \frac{5}{4}x\\\\y= \frac{5}{4}x +4[/tex]   (2)

Substitute the value of y in the first equation and solve for x

[tex]\frac{5}{4}x +4=\frac{3}{2}x\\\\-\frac{1}{4}x=-4\\\\x=16\ men[/tex]

Now solve for y.

[tex]y = \frac{3}{2}(16)\\\\y=24\ women[/tex]

Then at the end there were

[tex]y = 24-4 = 20[/tex] women

ANSWER

P(n)=2n-125

EXPLANATION

Profit equals selling price minus cost price.

P(n)=R(n)-C(n)

The cost price is given by the function;

C(n)= 2n + 125

The selling price is represented by the function:

R(n)=4n

The function that represents the profit function is :

P(n)=4n-(2n+125)

Expand

P(n)=4n-2n-125

Simplify:

P(n)=2n-125

Answer:P = 2n – 125

Step-by-step explanation: Ur welcome <3

Answer:

Slope 0: second graph

slope less than 0: fourth graph

slope undefined: fifth graph

slope greater than 1: third grpah

Step-by-step explanation:

Answer:

slope 0: second on the red line on top

less than 0: 4th graph \

undefined:5th graph |

greater than 1: first one /

Step-by-step explanation:

Solve by using Pythagoras triangle concept

x^2 + 15^2 = (9+x)^2

x^2 + 225 = 81 + 18x + x^2

x^2 - x^2 + 225 - 81 = 18x

144 = 18x

144/18 = x

x = 8

Answer:

x = 8

Step-by-step explanation:

Since the triangle is right use Pythagoras' theorem

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 9)² = x² + 15² ← expand factor on left side

x² + 18x + 81 = x² + 225 ( subtract x² from both sides )

18x + 81 = 225 ( subtract 81 from both sides )

18x = 144 ( divide both sides by 18 )

x = 8

Answer:

The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

and

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the smaller cube

y ----> the perimeter of the larger cube

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

in this problem we have

[tex]z=\frac{2}{5}[/tex] ----> scale factor

substitute

[tex]\frac{x}{y}=\frac{2}{5}[/tex]

The system of equations is

X+y=70

X-y=36

Where x and y are the two numbers

X=36+y ( from second)

36+y+y=70;

2y=70-36;

y=17

X+17=70

X=70-17=53

Numbers are 17, 53.

A. 2x/3y^2

HOPE THIS WILL HELP YOU

The correct answer that Latesha should write on her homework paper is 2x/3y2. Hence, the correct option is A.

The polynomial expression that Latesha needs to simplify is 16x^2y / 24xy^3. To simplify this expression, each term in the numerator should be divided by each corresponding term in the denominator that it is divisible by. Her steps should be as follows:

Divide both coefficients (numbers) by their greatest common divisor, which in this case is 8. So, 16 divided by 8 is 2, and 24 divided by 8 is 3.

Look at the powers of x and y and simplify. Subtract the exponents of like bases (16x2y has x2 and 24xy3 has x1, so you subtract 1 from 2 and get x to the power of 1, or just x).

For y, since y is on the top and bottom, subtract the exponents (1 - 3 = -2), which means y squared will be in the denominator.

Putting it all together, you get 2x / 3y2
which corresponds to answer choice A. 2x/3y2.

Therefore, the correct answer that Latesha should write on her homework paper is A. 2x/3y2.

Answer:

1.  coordinate plane

2. ordered pair

3. quadrant

4. origin

5. X-axis

6. Y-axis

7. coordinates

8. X-intercept

9. Y-intercept

Step-by-step explanation:

Answer:

1.Coordinate Plane

2.Ordered pair

3.Quadrant

4.Origin

5.X-axis

6.Y-axis

7.Coordinates

8.X-intercept

9.Y-intercept

Step-by-step explanation:

1.Coordinate Plane is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.

2.Ordered pair is a way of expressing a relationship between x and y in set notation.

3.Quadrant is one of four sections formed by the intersection of the x-axis and y-axis on a Cartesian coordinate plane.

4.Origin is the point where the x-axis crosses the y-axis. The coordinate location is the ordered pair (0,0).

5.X-axis  is the horizontal axis in a coordinate graph.

6.Y-axis is the vertical axis in a coordinate graph

7.Coordinates is the pair of numbers giving the location of a point.

8.X-intercept is a point at which a graph intersects the x-axis.

9.Y-intercept is a point at which a graph intersects the y-axis.

Answer:

Step-by-step explanation:19.5+16.87+4.02+2

=42.39$

The change in distance is 50 meters

Using the parameters given :

To calculate the change in distance:

Change in distance = (400 - 350) = 50

Hence, the change in distance is 50 meters

Complete Question:

400 meters to 350 meters . Calculate the change in distance.

Solution:

Let Required length of breadth be x

Now, We have ;

So, Length of Rectangle = x + 46

Length of Rectangle = 64 + 46

Length of Rectangle = 110 inches

Now, Breadth of Rectangle = 64 inches.

Answer:

Length = 109 inches and width = 64 inches

Step-by-step explanation:

Perimeter = 2(length + width)

Let the width of the rectangle be 'w' inches

Length of the rectangle would be = 45+w inches

2((45+w)+w) = 346

2(45+2w) = 346

90 + 4w = 346

4w = 346 - 90

4w = 256

w = [tex]\frac{256}{4}[/tex]

w = 64 inches

Length = 45 + 64 = 109 inches

Length = 109 inches and width = 64 inches

Answer:

(b) ABC =  FED

Step-by-step explanation:

The rigid motion concept implies that you move your points relative to another. That also means the naming of the objects (in this case triangles) has to be consistent.

By naming the first triangle ABC, you start by the lower-right corner of the triangle, go up then finish on the left-most point.

So, to name the other triangle in rigid-motion manner, you have to follow the same sequence... so it is F first, then E then D... so FED.

Answer: x² + y² - 2x - 8y + 13 = 0

Step-by-step explanation:

the equation of the circle is in the form (x - a)² + (y - b)² = r²

where (a,b) is the center of the circle and r is the radius

      hence the equation is

                         (x - 1)² + (y - 4)² = 2²

                         x²-2x+1+y²-8y+16= 4

                         x²+ y² -2x- 8y + 17 =4

                         x² + y² - 2x - 8y = -13

                          x² + y² - 2x - 8y + 13 = 0

Answer:

Your answer is correct

Answer:

You are correct!

Step-by-step explanation:

Answer:

13.6

Step-by-step explanation:

"A ruler can measure the length to the nearest 0.1 centimeter. Which of these lengths is the most precise measurement the ruler could make of a wire that measures 13.58cm"

Down to the nearest .1 centimeter means round to the nearest .1, so the solution is 13.6cm

A ruler that can measure to the nearest 0.1cm would be able to accurately measure a wire of 13.58cm up to 13.5cm. The remaining 0.08cm cannot be measured accurately by this ruler.

In this context, the term 'precision' refers to the smallest measurement that can be reliably marked by an instrument. Given that the ruler can measure to the nearest 0.1 centimetre, the most precise measurement the ruler can make is till decimals of one place. Therefore, for a wire measuring 13.58cm, the ruler will be able to precisely measure till 13.5cm. The wire's length of '0.08cm' beyond '13.5cm' cannot be accurately measured with this ruler as it doesn't have markings to measure in this range.

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Shown below

Dilation is when you stretch something by the same amount in two perpendicular directions. In other words, dilation changes size, not overall shape. Dilation factors greater than one makes the shape greater while dilation factors less than one makes the shape smaller. To dilate a shape with a certain scale factor centered at the origin, we just need to multiply each point by that scale factor. Since the figure is a rectangle, we just need to take the vertices of this figure, therefore:

A(-2,1)

B(1,1)

C(-2,3)

D(1,3)

So, the new points will be:

A'(-2x3, 1x3) = A'(-6, 3)

B'(1x3, 1x3) = B'(3, 3)

C'(-2x3, 3x3) = C'(-6, 9)

D'(1x3, 3x3) = D'(3, 9)

The new shape is shown below. As you can see, the new rectangle is greater than the original because the scale factor is greater than one.

Answer:

[tex]m=-\frac{26}{83}[/tex]

Step-by-step explanation:

Since you are asking for the value of [tex]m[/tex], it is reasonable to assume that we are dealing with an equation here and you forgot to type the equal sign. Given that, I assume our equality is [tex]38=12-m-82m[/tex]. Let's solve it step-by-step:

Step 1. Subtract 12 from both sides of the equation

[tex]38-12=12-12-m-82m[/tex]

[tex]26=-m-82m[/tex]

Step 2. Combine like terms (m terms)

[tex]26=(-1-82)m[/tex]

[tex]26=-83m[/tex]

Step 3. Using the reflexive property of equality: if a = b, then b = a

[tex]26=-83m[/tex]

[tex]-83m=26[/tex]

Step 4. Divide both sides of the equation by -83

[tex]\frac{-83m}{-83} =\frac{26}{-83}[/tex]

[tex]m=-\frac{26}{83}[/tex]

We can conclude that the value of m is [tex]-\frac{26}{83}[/tex].

Next time be more careful writing your question :)