Chris bought 4 chairs for $35 at the beginning of the summer at full retail price.At the end of the summer, he bought 2 more when they were on sale and were marked down by %18 what did Chris pay for all six chairs

Answer:

22 yards

Step-by-step explanation:

Use a (+) sign for yards gained and a (-) sign for yards lost.

Geno gained 4 yards 3 times: (+4) × 3.

Geno lost 1 yard twice: (-1) × 2.

Geno gained 6 yards twice: (+6) × 2.

Net change

in field position

=

(4 × 3) + (-1 × 2) + (6 × 2)

=

12 − 2 + 12

=

10 + 12

=

22.

Geno gained 22 yards.

The net change in the position of Geno if In the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice, is 22 yards.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

In the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice,

Calculate the net change in position as shown below,

The net change = Total  gained - Total  lost,

Total gained = 4 × 3 + 6 × 2

Total gained = 12 + 12

Total gained = 24

Total lost = 1 × 2

Total lost = 2

The net change = 24 - 2

The net change = 22

Thus, the net change in the Geno position is 22 yards.

To know more about addition:

https://brainly.com/question/28008319

#SPJ5

The complete question is:

Geno is a running back for the Bayside Barn Owls. During the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice. Find the net change in the position of Geno.

Answer:

5 times the square root of 3

Step-by-step explanation:

To get the longest side of a 30-60-90 triangle, you take the shortest side and multiply it by the square root of 3.

5*(square root of 3)

Answer:it will take 1850 miles

Step-by-step explanation:

Let x represent the number of miles in a day at which the rental costs for a company A and Company B same.

Let y represent the total cost of renting the truck for x miles with company A.

Let z represent the total cost of renting the truck for x miles with company A.

Company A charges $420 a day Plus $.30 per mile. This means that

y = 420 + 0.3x

Company B charges $50 a day plus $.50 per mile to rent the same truck. This means that

z = 50 + 0.5x

To determine the number of miles in a day at which the rental costs for a company A and Company B same, we will equate y to z. It becomes

420 + 0.3x = 50 + 0.5x

0.5x - 0.3x = 420 - 50

0.2x = 370

x = 370/0.2 = 1850 miles

Answer: distance = 5

Step-by-step explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the graph given,

x2 = 1

x1 = - 2

y2 = 0

y1 = - 4

Therefore,

Distance = √(1 - - 2)² + (0 - - 4)²

Distance = √3² + 4² = √9 + 16 = √25

Distance = 5

Answer:

a) 1805.55$

b) 2.14$

c)0.005$

d)0.064$

e)1805.55$

Step-by-step explanation:

Density of mercury is 844.9 lb/ft3.

a) 76 pound flask of mercury is 76/844.9=0.09 ft^3. 0.09 ft^3 mercury cost 162.5$, then 1 ft^3 mercury is

[tex]p=(162.5/0.09)=1805.55[/tex]

1805.55$

b) One pound of mercury is 2.14$

[tex]p=162.5/76=2.14[/tex]

c)76 pound equals 34473 grams. It makes:

[tex]p=162.5/34473=0.005[/tex]

0.005$ is the price of one gram mercury.

d)Total amount of mercury is 34473 grams. Then total volume of mercury is:

[tex]V=34473/13.534=2547.14[/tex]

2547.14 cm3. And the unit price is:

[tex]p=162.5/2547.14=0.064[/tex]

e) 1805.55$. It is found already.

Answer:

x             frequency

4.8        1

4.83       1

4.85     2

4.89     1

4.91     1

4.94    2

4.96   1

4.99   1

5.04    3

5.05    1

5.12    3

5.14   1

5.15   1

5.17   1

5.19   2

5.24    1

5.26     1

5.27     1

5.28     1

find the dot plot as attached below

Step-by-step explanation:

Construct a dotplot for the following data. 4.85 4.94 5.12 5.14 4.80 4.99 5.19 4.94 4.85 5.12 5.04 4.96 5.28 5.05 4.83 5.27 5.12 5.19 4.89 5.15 5.04 5.17 5.24 5.04 4.91 5.26

Rearranging the data into frequency table

x             frequency

4.8        1

4.83       1

4.85     2

4.89     1

4.91     1

4.94    2

4.96   1

4.99   1

5.04    3

5.05    1

5.12    3

5.14   1

5.15   1

5.17   1

5.19   2

5.24    1

5.26     1

5.27     1

5.28     1

Answer: the top of the ladder is 20ft below the ground.

Step-by-step explanation:

The ladder makes an angle, θ with the ground thus forming a right angle triangle with the wall of the house.

The length of the ladder represents the hypotenuse of the right angle triangle.

The ground distance between the base of the house and the base of the ladder represents the adjacent side of the right angle triangle.

Therefore, to determine the height at which the ladder rest on the building, x, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

25² = x² + 15²

625 = x² + 225

x² = 625 - 225 = 400

x = √400 = 20 ft

Answer:

Step-by-step explanation:

The cost of the three books that James bought from the bookstore.

He has a coupon for 25% off the original price. This means that the amount by which the original price was reduced would be

25/100 × 39.99 = 0.25 × 39.99 = $9.8325

The cost of the books would be

39.99 - 9.8325 = $30.1575

He is charged 8.5% sales tax. This means that the amount paid for tax would be

8.5/100 × 30.1575 = 0.085 × 30.1575 = $2.56

the total cost of his purchase would be

2.56 + 30.1575 = $32.7175

Answer:

$32.7175

Step-by-step explanation:

Answer: 17.3

Step-by-step explanation:

Since it is a right angled triangle , we will use the application of SOHCAHTOA in solving it  ,which means

sine Ф = opposite / hypotenuse

cosine Ф = adjacent / hypotenuse

Tangent Ф = opposite / adjacent

Ф stands for the given angle.

From the diagram , the given angle is 25 ,this means that

opposite = x

hypotenuse = 41

This means that we will use sine Ф = opposite / hypotenuse to find the value of x.

Therefore:

sin 25 = x/41

x = 41 sin 25

x = 41 x 0.4226

x = 17.3273

x ≈ 17.3

The student is given two functions, d(x) = 500-2x and p(x) = x+5, which represent the demand and price, respectively, of a company's product. To find the relationship between price and quantity, we can substitute the demand function into the price function.

The subject of this question is Mathematics. The student is given two functions, d(x) = 500-2x and p(x) = x+5, which represent the demand and price, respectively, of a company's product. To find the relationship between price and quantity, we can substitute the demand function into the price function:

p(x) = x + 5 = d(x) + 5 = (500 - 2x) + 5 = 505 - 2x

So the price can be represented by the equation p(x) = 505 - 2x.

https://brainly.com/question/27235369

#SPJ3

Answer:

Explanation:

The image attached shows the dimensions of the coffe cans considered for this question.

The figure is a cylinder with dimensions:

Thus, to find the lateral surface of a coffe can, you use the formula for the lateral area of a cylinder:

Where, LA is the lateral area, r is the radius, and h is the height.

Substituting the dimensions given in the figure, you get:

To multiply, first convert the mixed numbers into improper fractions:

[tex]3\frac{1}{16}=3+\frac{1}{16}=\frac{3(16)+1}{16}=\frac{48+1}{16}=\frac{49}{16}\\ \\ 6\frac{5}{8}=6+\frac{5}{8}=\frac{6(8)+5}{8}=\frac{48+5}{8}=\frac{53}{8}[/tex]

Now, you can multiply:

Answer:

He has 2 quarters in his pocket.

Answer: Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

Step-by-step explanation:

Let x be the grades scored by Mary in the fourth algebra test.

Mary has grades of 95, 82, 88 on her first three algebra tests.

Then, the combined scores in four test will become = 95+82+88+x =  265+x

Average score = (Sum of all scores) ÷ (Number of tests)

[tex]=\dfrac{265+x}{4}[/tex]

As per given ,

To earn an A in an algebra course, a student must have a test average of at least 90.

i.e. Average score ≥ 90

[tex]\Rightarrow\ \dfrac{265+x}{4}\geq90\\\\\Rightarrow\ 265+x\geq 90\times4=360\\\\\Rightarrow\ x\geq360-265 =95\\\\\Rightarrow\ x\geq90[/tex]

Hence, Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

Answer:

22.9 feet

Step-by-step explanation:

You are using Tangent because you have the opposite and adjacent sides

Tan 5 = 2/x

x Tan 5= 2

x= 2/Tan5

= 22.860

To find the horizontal run length of a wheelchair ramp with a 5-degree angle and a 2-foot rise, use the tangent function of trigonometry. Plug the given values into the tangent formula, rearrange to solve for 'Run', and calculate to get a run length of approximately 22.8 feet.

The question is referring to the use of trigonometry to solve real-life problems. Here, we are going to use the tangent of the angle, which is defined as the ratio of the opposite side (the rise) to the adjacent side (the run). In this case, we know that the angle is 5 degrees and the rise is 2 feet.

In mathematical terms, this can be written as:

Tan(ρ) = Rise/Run

Substituting the values into the equation, we get:

Tan(5°) = 2/Run

Solving for Run, we get:

Run = 2/Tan(5°)

You can find this value using a calculator, rounding to the nearest tenth, to get the run as approximately 22.8 feet.

https://brainly.com/question/31896723

#SPJ3

To find the value of x for the corresponding sides of two similar triangles, we set up a proportion using the given sides.

Upon simplifying the ratio, x is calculated to be 24, which is the side length in the second triangle.

To find the value of x in two similar triangles with side lengths 12, 15, 18 and 16, 20, x, we use the concept that corresponding sides in similar triangles have proportional lengths.

We start by setting up a proportion using the corresponding sides:

[tex]\(\frac{12}{16} = \frac{15}{20} = \frac{18}{x}\)[/tex]

We can simplify the first two ratios to find a single scale factor:

[tex]\(\frac{12}{16} = \frac{15}{20} \rightarrow \frac{3}{4} = \frac{3}{4}\)[/tex]

This confirms the triangles are indeed similar since the ratios are equal. We then use the third ratio to solve for x:

[tex]\(\frac{18}{x} = \frac{3}{4} \rightarrow x = \frac{4}{3} \cdot 18 = 24\)[/tex]

Therefore, the value of x is 24, which is the length of the corresponding side in the second triangle.

Final answer:

By setting up an equation using the average weight formula and solving for x, we find that x equals 5. Subsequently, the heavier carton weighs 13 pounds, and the lighter carton weighs 7 pounds, making the heavier carton weigh 6 pounds more than the lighter carton.

Explanation:

The question involves finding out how many more pounds the heavier carton weighs compared to the lighter carton when given their weights in terms of x and the average weight.

Firstly, we are given that the weights of the two cartons are 3x - 2 and 2x - 3 pounds, and their average weight is 10 pounds.

To find the value of x, we need to set up an equation using the average weight formula, which is:

(Weight of Carton 1 + Weight of Carton 2) / 2 = Average Weight

Substituting the given weights and average weight into the formula, we get:

((3x - 2) + (2x - 3)) / 2 = 10

Solving the equation by combining like terms and multiplying both sides by 2 to eliminate the fraction gives:

5x - 5 = 20

Adding 5 to both sides and then dividing by 5:

x = 5

Now, let's find the actual weight of each carton:

Weight of the first carton = 3x - 2 = 3(5) - 2 = 13 pounds

Weight of the second carton = 2x - 3 = 2(5) - 3 = 7 pounds

Lastly, we determine how many more pounds the heavier carton weighs compared to the lighter one:

13 pounds - 7 pounds = 6 pounds

Therefore, the heavier carton weighs 6 pounds more than the lighter carton.

Answer:the total cost of the collar is $5.11

Step-by-step explanation:

To make a collar for her dog, she needs to buy some chain,a clasp, and a name tag.

The length of the chain that she wants to buy is 40 centimeters.

1000 centimeters = 1 meter

40 centimeters = 40/1000 = 0.04 meters.

One meter of chain costs $9.75. Therefore, 0.04 meters of chain would cost

0.04 × 9.75 = $0.39

The clasp is $1.29 and the name tag is $3.43. Therefore, the total cost of the collar would be

0.39 + 1.29 + 3.43 = $5.11

Answer:

Step-by-step explanation:

The square base measures 8 inches by 8 inches. The slant height is 10 inches.

The formula for determining the area of the square base of the pyramid is l^2. Therefore,

Area of the base = 8^2 = 64 inches^2

The formula for determining the perimeter of the square base is

4l. It becomes

4 × 8 = 32 inches

The amount of construction paper needed to make this pyramid is the total surface area of the pyramid. Therefore,

Total surface area = (1/2 × 32 × 10) + 64

= 160 + 64 = 224 inches^2

Nick will need approximately 224 square inches of construction paper for his square based pyramid project with a base measuring 8 inches by 8 inches and a slant height of 10 inches.

To find the amount of construction paper needed for Nick's square based pyramid project, we need to calculate the surface area of the pyramid. The surface area of a pyramid includes the area of the base plus the area of the four triangular sides.

The area of the base (Abase) is the side length squared:
Abase = side × side = 8 inches × 8 inches = 64 square inches.

The area of one triangular side (Atriangular side) is given by the formula:
Atriangular side = 1/2 × base × slant height.
For Nick's project, the base of a triangular side is equal to the side of the square, so:
Atriangular side = 1/2 × 8 inches × 10 inches = 40 square inches.

Since there are four identical triangular sides:
Total area of triangular sides = 4 × 40 square inches = 160 square inches.

Adding the base and triangular sides areas together gives us the total construction paper needed:
Total construction paper needed = Abase + Total area of triangular sides = 64 square inches + 160 square inches = 224 square inches.

Therefore, Nick will need approximately 224 square inches of construction paper for his project. To get the nearest whole number, we round 224 to 224.

Question is Incomplete;Complete question is given below;

Susan and Jim each own a lawn care business. The amount Susan charges for lawn care is shown in the table. The amount him charges for lawn care is shown in the table.

What is the DIFFERENCE between Susan's and Jim's lawn care business in the amounts they charge for 10 hours at work ?

Susan

2 hrs $48

3 hrs $72

7 hrs $ 168

11 hrs $264

Jim

1 hr $20

2 hrs $40

3 hrs $60

4 hrs $80

5 hrs $100

6 hrs $120

A) $16

B) $20

C) $28

D) $40

Answer:

D) $40

Step-by-step explanation:

We need to find the DIFFERENCE between Susan's and Jim's lawn care business in the amounts they charge for 10 hours at work.

Solution:

First we will find the hourly charges of lawn care for both.

Given:

From the table of Jim we can see that

Charges of Jim for 1 hour = $20

So for 10 hour = Charges of Jim for 10 hour.

By using Unitary method we get;

Charges of Jim for 10 hour = [tex]10\times 20 =\$200[/tex]

Now From table of Susan we can see that;

for 2 hours = $48

So for 1 hour = Charges of Susan for 1 hour.

By Using Unitary method we get;

Charges of Susan for 1 hour = [tex]\frac{48}{2}= \$24[/tex]

Now we know that;

Charges of Susan for 1 hour = $24

So for 10 hour = Charges of Susan for 10 hour

again by using Unitary method we get;

Charges of Susan for 10 hour = [tex]24\times10 =\$240[/tex]

Now we need to find the difference between their charges.

Difference can be calculated by subtracting Charges of Jim for 10 hour from Charges of Susan for 10 hour.

framing in equation form we get;

Difference = [tex]\$240-\$200=\$40[/tex]

Hence The difference in the charges for 10 hour of work is $40.

Answer:

Step-by-step explanation:

Total number of questions in the test is 80.

To receive a grade of A on the 80 question test, 90% of the questions must be answered correctly. It means that the number if questions that must be answered correctly would be

90/100 × 80 = 0.9 × 80 = 72.

Therefore, the maximum number of questions that can't be missed to still receive an A is 72

Answer:

f(-1) = 10

Step-by-step explanation:

f(x)=x² - 3x + 6

when x = -1, substitute x=-1 into the equation above

f(-1) = (-1)² - 3(-1) + 6

= 1 + 3+6

= 10

Answer:

x = 6 or x = -4

Step-by-step explanation:

x^2 - 2x - 24 = 0

(x - 6)(x + 4) = 0

x - 6 =0 or x + 4 = 0

x = 6 or x = -4

Answer:

Step-by-step explanation:

2.75×100=275.00

3=3.00×100=100.00

in either case decimal point moves to the right.

but in whole numbers 3=3

Answer:

a) Matrix B = [tex]\left[\begin{array}{c}5\\7\\9\end{array}\right][/tex]

b) Matrix AB = [tex]\left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right][/tex]

c) $12,695

Step-by-step explanation:

Matrix A = [tex]\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right][/tex]

a) Matrix B = [tex]\left[\begin{array}{c}5\\7\\9\end{array}\right][/tex]

Gross Receipt = AB

[tex]\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right][/tex] . [tex]\left[\begin{array}{c}5\\7\\9\end{array}\right][/tex] = [tex]\left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right][/tex]

c) Total revenue is the sum of receipts from 4 cinemas given in part b

Hence,

Total revenue = $2525 + $3620 + $2845 + $3705 = $12,695

Question is Incomplete; Complete question is given below;

Johnny must learn more than 10 new plays before the big game. He has already learned 4. Write and solve the inequality that represents how many more plays he needs to learn to reach his goal?

Answer:

The Inequality representing the more plays he needs to learn to reach his goal is [tex]x+4>10[/tex].

Johnny should learn more than 6 games to reach his goals.

Step-by-step explanation:

Given:

Number of plays to be learn [tex]>[/tex] 10

Number of plays already learned = 4

we need to write an inequality that represents how many more plays he needs to learn to reach his goal.

Solution:

Let the number of plays needed to learn more be 'x'.

So we can say that;

Number of plays already learned plus number of plays needed to learn more should be greater than total Number of plays to be learn.

framing in equation form we get;

[tex]x+4>10[/tex]

Hence the Inequality representing the more plays he needs to learn to reach his goal is [tex]x+4>10[/tex].

On solving the equality we get;

Subtracting both side by 4 we get;

[tex]x+4-4>10-4\\\\x>6[/tex]

Hence Johnny should learn more than 6 games to reach his goals.

After giving away 1 and 2/3 pounds of jelly beans, Alison has 4/3 pounds left.

To find out how many pounds of jelly beans Alison has left after giving away 1 and 2/3 pounds, we need to subtract that amount from the total.

1 1/4 pounds + 2 1/3 pounds - 1 2/3 pounds = 2/4 + 7/3 - 5/3 = 8/12 + 28/12 - 20/12 = 16/12 = 4/3 pounds

Therefore, Alison has 4/3 pounds of jelly beans left.

https://brainly.com/question/3852878

#SPJ2

Answer: c. 72% is a statistic and 56% is a parameter.

Step-by-step explanation:

Given : A study of voting chose 663 registered voters at random shortly after an election.

Population of interest : "registered voters"

Sample : " 663 registered voters "

72%  of 663 registered voters said they had voted in the election.

⇒ Statistic = sample proportion registered voters voted in the election.= 72%

Election records show that only 56% of registered voters voted in the election.

⇒ Parameter = Population proportion of registered voters voted in the election =  56%

Hence, the correct answer is "c. 72% is a statistic and 56% is a parameter."

Answer:  80%

Step-by-step explanation:

Since we have given that

Number of erasers sold in May = 80

Number of erasers sold in June = 16

Decrement in 1 month gap is given by

16-80=-64

So, Percentage of change in erasers sold from May to June is given by

[tex]\frac{-64}{80}[/tex] × 100

= -80% (Decreased 80%)

Answer:

80%

Step-by-step explanation:

I took a test with this question on it

Answer:

Cost of steak-in-a-bun burger is $1.95 and cost of queen-size burger is $1.05.

Step-by-step explanation:

Let the cost of queen-size burger be 'q'.

Let the cost of steak-in-a-bun be 's'.

Given:

a steak-in-a-bun cost $0.90 more than a queen-size burger.

So we can say that;

[tex]s=0.9+q \ \ \ \ equation\ 1[/tex]

Given:

the coach took ten students to burger box.

Hence Number of person at burger box = 11

The coach and three students ordered steak-on-a-bun while the other students ordered queen-size burgers.

So we can say that;

Number of queen sized burger = 11 - 4 =7

Number of steak on a bun burger = 4

Also Given:

Total bill = $15.11

Now we can say that;

Total bill is equal to sum of Number of queen sized burger multiplied by Cost of queen sized burger and Number of steak on a bun burger multiplied by cost of steak on a bun burger.

framing in equation form we get;

[tex]4s+7q =15.15\ \ \ \ equation\ 2[/tex]

Substituting equation 1 in equation 2 we get;

[tex]4(0.9+q)+7q=15.15[/tex]

Applying distributive property we get;

[tex]3.6+4q+7q=15.15\\\\3.6+11q=15.15[/tex]

Subtracting both side by 3.6 we get;

[tex]3.6+11q-3.6 =15.15-3.6\\\\11q=11.55[/tex]

Dividing both side by 11 we get;

[tex]\frac{11q}{11}=\frac{11.55}{11}\\\\q=\$1.05[/tex]

Substituting the value of q in equation 1 we get;

[tex]s=0.9+q=0.9+1.05=\$1.95[/tex]

Hence Cost of steak-in-a-bun burger is $1.95 and cost of queen-size burger is $1.05.

Final answer:

The cost of one steak-on-a-bun is $2.055, and the cost of one queen-size burger is $1.155.

Explanation:

The student's question involves finding the cost of one steak-on-a-bun and one queen-size burger given that the total bill for a group order at a restaurant was $15.15 and that a steak-on-a-bun costs $0.90 more than a queen-size burger.

Let's define Q as the price of a queen-size burger.

Therefore, the price of a steak-on-a-bun would be Q + $0.90. According to the problem, four people (the coach and three students) ordered steak-on-a-bun, and six students ordered queen-size burgers.

The equation representing the total cost is:

4(Q + $0.90) + 6Q = $15.15

Solving for Q, we first expand the equation:

4Q + $3.60 + 6Q = $15.15

Combining like terms, we get 10Q + $3.60 = $15.15.

Subtracting $3.60 from both sides, we get 10Q = $11.55.

Dividing both sides by 10, we find that Q = $1.155, which is the cost of a queen-size burger.

Finally, the cost of a steak-on-a-bun is Q + $0.90 = $1.155 + $0.90 = $2.055.

The cost of one steak-on-a-bun is $2.055, and the cost of one queen-size burger is $1.155.

Answer:

Continuous observation

Step-by-step explanation:

Generally, the weight of any person is displaced in whole numbers without the inclusion of decimal numbers. The decimal numbers are mostly rounded up to the whole number. Based on the argument made in the given problem, the type of weight variable for this type of analysis is known as continuous observation.