Angus Cut His Neighbors' Lawns For The Summer. By The End, He Had $325 In His Lawn-cutting Bank Account And He Paid A Total $75 For Gas. He Earned $10 For Ever Lawn He Mowed. How Many Lawns Did He Buy? A. N = 400 x 10 b n 250 x 10 c. N = 400 / 10 d. N = 250 / 10

Answer:

33.33333333

Step-by-step explanation:

Answer:

Part A

1. After 4 weeks of work, Jeremy has saved 300

2. Jeremy worked 8 weeks in order to save $600

3. For every one week of work, Jeremy saved 75 dollars

4. If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

1. Saeed orders 15 meals and his total cost of delivery is $24

2. Saeed paid $32 to have 20 meals delivered

3. For every meal delivered, Saeed is charged $1.6

4. If Saeed pays $19.20 in delivery fees then he ordered 12 meals

Step-by-step explanation:

Part A

The given graph gives the proportional relationship between total amount saved and the number of weeks worked

1. Reading from the graph, at the point where the vertical line from point 4 touches the line of the graph, an horizontal line to the vertical y-axis touches the y-axis at 300

Therefore;

After 4 weeks of work, Jeremy has saved 300

2. The point where an horizontal line from point 600 on the vertical y-axis touches the line of the graph, a vertical line drawn to the horizontal, x-axis touches the x-axis at 8

Therefore;

Jeremy worked 8 weeks in order to save $600.

3. The rate of change of the amount saved to the number of weeks worked, 'm', for the given proportional relationship (straight line relationship, passing through the origin) is given as follows;

Rate of change, m = Constant = y/x

∴ Rate of change of the amount saved to the number of weeks worked = (300-0)/(4 weeks- 0 week) = 75/week

Therefore;

For every one week of work, Jeremy saved 75 dollars

4. The amount Jeremy would have saved in 15 weeks, 'A', is given as follows;

A = m × n

Where;

m = The rate of change of the amount saved to the number of weeks worked = 75/week

n = The number of weeks worked

∴ A = 75/week × 15 = $1,125

Therefore;

If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

From the graph, we have;

1. From the graph there is a proportional relationship between the total cost of delivery and the number of meals

At the point a vertical line drawn to the line of the graph from 15 on the horizontal axis (number of meals), a horizontal line drawn to the vertical y-axis touches the y-axis at 24

Therefore;

1. Saeed orders 15 meals and his total cost of delivery is $24

2. From the point where the horizontal line from 32 on the vertical axis touches the linear graph of the relationship between the total cost of delivery and the number of meals, a vertical line drawn down to the horizonal axis touches the horizontal x-axis at 20

Therefore;

Saeed paid $32 to have 20 meals delivered

3. The rate of change of the total cost of delivery to the number of meals, 'm', is given as follows;

m = y/x (for proportional relationships)

Taking any corresponding 'x' and y-values

m = 16/10 = 32/20 = 24/15 = 1.6 Dollars/meal

Therefore;

For every meal delivered, Saeed is charged $1.6

4. From m = y/x = 1.6

When y = $19.20

x = y/m = $19.20/($1.6/meal) = 12 meals

Therefore;

If Saeed pays $19.20 in delivery fees then he ordered 12 meals.

Answer:

The value of k=4

Step-by-step explanation:

we have

f(x)=0.4x

This function represent a linear direct variation (The line passes through the origin)  

we know that  

If f(x) is shifting up by 4 units  

then  

The y-intercept of the function will be the point (0,4)  

therefore  

The function g(x) will be  -----> g(x)=0.4x+4 (equation of the line into slope

intercept form)

The rule of the translation

f(x) --------> g(x)

(x,y) -------> (x,y+4)

The translation is 4 units up

therefore

The value of k=4

Answer:

The cube root of -8 is -2

Step-by-step explanation:

Factor the numbers 8=2^3

-∛2³

Apply radical rule;

∛2³=2

=-2

HOPE THIS HELPED!!!

Answer:

 S≥2+x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle

Answer:

the answer is

Step-by-step explanation:

There are more students in biology than students in geometry.

The following statements does not support the given venn diagram:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

What are Venn diagrams?

The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.

In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.

Solution:

                                   17₊ 22 ₊8 = 47

The result of the addition operation is not equal to the number of        students, hence it does not support to the statement.

                                    17 ₊ 22 = 39

The result of the addition operation is equal to the number of        students, hence it supports the statement.

                                     17 ₊ 8 = 25 and 8 ₊ 22 = 30

                                            where, 25 < 30

Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.

                                     22 ₊ 8 = 30

                                       30 > 17

Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.

So the following statements does not support the venn diagram given:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

Learn more about "Venn diagrams" here-

brainly.com/question/2099071

#SPJ2

Answer:

cereal bowl- 2 cups

baby food jar- 4 fluid ounces

soda can- 12 fluid ounces

swimming pool- 1000 gallons

large can of paint- 1 gallon

Step-by-step explanation:

they have 122.1 of total of cost

Answer:

It is assumed the full circular fencing is needed.

Circumference of the circle = the length of fencing:

Total cost:

Answer:

x = 9

Step-by-step explanation:

By the property of intersecting secants:

[tex]4(x - 3 + 4) = 5(x - 6 + 5) \\ \\ 4(x + 1) = 5(x - 1) \\ \\ 4x + 4 = 5x - 5 \\ \\ 4x - 5x = - 5 - 4 \\ \\ - x = - 9 \\ \\ x = 9[/tex]

Answer:

13°

Step-by-step explanation:

The reason is because the sum of all the angles in a triangle add up to 180°, so to find the last angle you add 81°+86°=167°

Subtract: 180°-167°=13°

Hope this helped!

Stay safe and have a wonderful day/night!

Your friend Bella was here :)

Answer:

A) [tex]27 = b + 9[/tex]

[tex]b=18[/tex]

Step-by-step explanation:

When given a balanced scale (represented by a hanger in this image), the sum of the values on one side equals the value on the other side. Thus, the equation that this hanger represents is the following:

[tex]27 = b + 9[/tex]

Use inverse operations to solve this equation,

[tex]27 = b + 9[/tex]

[tex]-9[/tex]

[tex]18 = b[/tex]

Answer:

m = 56

Step-by-step explanation:

.3m = 16.8

3m = 168

m = 168/3

m = 56

Answer:

x=35

Step-by-step explanation:

3x+3=108

3x=108-3

3x= 105

x= 105/3

x=35

Answer: 1080

Step-by-step explanation:

Heres why:

SA is L*W*H as the same formula as volume.

Answer:

$2,407.5

Step-by-step explanation:

To solve this question, we will use the formula for calculating the amount formula as shown;

A =P(1+r)^n

Given that;

P = #$1300

r = 4.5% = 0.045

t = 14years

Substitute

A = 1300(1+0.045)^14

A = 1300(1.045)^14

A = 1300(1.8519)

A = 2,407.5

Hence Isabella would have $2,407.5 in her account after 14years

Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

b/c  Tan(45) = Sin(45) /Cos(45) = ([tex]\sqrt{2}[/tex]/2) / ([tex]\sqrt{2}[/tex]/2)   ofc that's just 1

b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

Answer:

A boy can write one page in one minute

Answer:

5 minutesethhgdsyujjj

Answer:

x^2 + 8x + 7 and x(x + 8) + 7

Step-by-step explanation

Answer:

$160.14

Step-by-step explanation:

15% of 174.45 = 26.16

174.45 - 26.16 = 148.28

8% of 148.28 = 11.86

148.28 + 11.86 = 160.14

Answer: [(3/4)π] in² or (0.75π) in²

Step-by-step explanation:

Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)

--------------------------------------------------------------

Given

r=3 in

θ=30°

Solve

A=πr²(θ/360)

A=π(3)²(30/360)

A=9π(1/12)

A=[(3/4)π] in²

A=(0.75π) in²

Hope this helps!! :)

Please let me know if you have any questions

It is a

Scalene and Right angle

Answer:

576

Step-by-step explanation:

just multiply 48 by 12

Answer:

576

Step-by-step explanation:

48 ice cream flavors

12 toppings

48 x 12 = 576

Answer:

When the difference in the mean is about 20

Step-by-step explanation:

I did the test

Answer: around 20

Step-by-step explanation: