Kenneth works in a carpet store. The graph shows the proportional relationship between the amount of carpet in square feet, x, and the cost of the carpet in dollars, y.

The total number of logs in the pile will be 255.

Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

S = (n / 2)[a₁ + L]

S = (n/2) [2a + (n − 1) d]

A pile of logs has 24 logs in the bottom layer, 23 in the second layer, 22 in the third, and so on. The top layer contains 10 logs.

The common difference is negative 1.

Then the nth term of the arithmetic sequence is given as,

10 = 24 + (n - 1) x (-1)

n - 1 = 14

n = 15

Then the total number of logs in the pile will be

S = (15/2) [24 + 10]

S = 7.5 x 34

S = 255

The total number of logs in the pile will be 255.

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Answer: About 9.2

Step-by-step explanation:

  Since this is a right triangle, we can use the Pythagorean theorem. We are solving for the hypotenuse which is the "c" variable in the formula.

a² + b² = c²

7² + 6² = c²

7² + 6² = c²

49 + 36 = c²

85 = c²

[tex]\sqrt{85}[/tex] = c

9.2 ≈ c

Answer:

1/2 = 3/6

1/3 = 2/6

6 is the lowest common denominator as you can see

__________________________________________________

Next, let's add these new fractions together

2/6 + 3/6 = 5/6

5/6 cannot be simplified so the final answer is 5/6

Hope this helped!!

Answer:

20%

Step-by-step explanation:

Method 1

Percentage of people who preferred red:

= 13%

Percentage of people who named a rainbow color:

= 13 % + 4% + 5% + 15% + 16% + 12%

= 65%

Percentage of people who preferred red from those who named a rainbow color:

= (13% ÷ 65%) × 100

= 20%

Method 2

Number of people who preferred red:

= 13% of 500

= 13% × 500

= 0.13 × 500

= 65

Percentage of people who named a rainbow color:

= 13 % + 4% + 5% + 15% + 16% + 12%

= 65%

Number of people who named a rainbow color:

= 65% of 500

= 65% × 500

= 0.65 × 500

= 325

Percentage of people who preferred red from those who named a rainbow color:

= (number who preferred red ÷ number named rainbow color) × 100

= (65 ÷ 325) × 100

= 20%

Pls Brainliest!

Answer:

20%

Step-by-step explanation:

The rainbow colors add up to 13 + 4 + 5 + 15 + 16 + 12 = 65 percent of the pie chart. So, 65% ∙ 500 = 325 people in the survey named a rainbow color. Of these, 13% ∙ 500 = 65 named red.

Therefore, if we consider only the 325 people who named a rainbow color, the percentage of those people who preferred red is

65/325 = 1/5 = 20%

(You may notice that the answer would still be 20% even if the total number of people in the survey were some number other than 500. This is because 13% is 20% of 65%, no matter what these are percentages of!)

Answer:

1.25

Step-by-step explanation:

Finding deviation of each value

Mean Absolute Deviation (M.A.D.)

Answer:

1.20

Step-by-step explanation:

4 = |5 - 4| = 1

3 = |5 - 3| = 2

4 = |5 - 4| = 1

5 = |5 - 5| = 0

6 = |5 - 6| = 1

6 = |5 - 6| = 1

8 = |5 - 8| = 3

4 = |5 - 4| = 1

Answer:

the answer is 7/27 cause you find the total number of tiles and total number of black tile then put it in the ratio of :

total no of black tiles/ total tiles

Answer:

The answer is 7/27

Step-by-step explanation:

For this you will be using What you want over the total of what you have. Sum all the things which gives you: 27 in total.

You want only the black ones, so add 3+4 and you get 7

What you want is the black (7) over the total amount you have (27)

so your answer is 7/27

Answer: write a triangle and a quad.

no.

Step-by-step explanation:

The amount of pies in mixed numbers is 5*1/2   and  in the improper fraction is 11/2 and in decimal is 5.5 and in percentage is 5.5%

Given: Susan buys 5 and a half pies from the market.

To find the value of the pies in the following ways:

The mixed fraction is represented as a whole number and also as a fraction. It is the mixture of a whole number and a fraction. The simple way to find out the mixed fraction is, first multiply the value in the denominator by the value of the whole number in the mixed fraction. Later add the obtained number. Here is the problem the mixed fraction can be written as 5*1/2.

The improper fraction is identified when the numerator is greater than the denominator. From the given question the value of pies in the improper fraction is given by 11/2. Here 11 is greater than 2.

Next, the decimal number is represented by a whole number that is separated from the decimal point of the fractional part. In question 5 and a half is represented as 5.5, where 5 is a whole number with a decimal point and the fractional part is 0.5.

The value of the percent is obtained by dividing the total value and multiplying it by 100. So from the question, we get 5*1/2*100 is equal to 250 or 5.5%.

To learn more about decimals, fractions, and percentages follow the link below:

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Answer: $37.8

Step-by-step explanation: To find the cost of the supplies we multiply $54 by .3 (the decimal version of 30%). The total is 16.2 . If we subtract this from the total amount we find the cost of the cleaning service. 54-16.2 = 37.8

Answer:

1/3

Step-by-step explanation:

First, we have to find the total amount of blue tiles

4 purple 6 blue 8 green

we have 6 blue tiles

Next, we have to find the the total amount of tiles

4+6+8=18

Now, we put it as a fraction then simplify

6/18=1/3

Answer:

(2,6). (4,12). (5,15). (7,21)

Step-by-step explanation:

As the x axis has time, all the points on the time column are across.

As the y axis has distance, all the points on the column are up.

Co-ord 1:

(2,6)

Co-ord 2:

(4,12)

Co-ord 3:

(5,15)

Co-ord 4:

(7,21)

Answer:

b. 1/2

Step-by-step explanation:

Answer:

an=3n (A1=3)

an=3n+3 (a1=6)

an=3n-3 (a1=0)

Answer:

n² ≤ 2ⁿ , ∀ n ≥ 4

Step-by-step explanation:

[tex]4^{2}=16 \leq16=2^{4}[/tex]

Then ,For n = 4 the inequality is true.

For n ≥ 4 , suppose n² ≤ 2ⁿ and prove that (n+1)² ≤ 2ⁿ⁺¹

(n+1)² = n² + 2n + 1

Since n² ≤ 2ⁿ (according to the hypothesis) and we know that 2n + 1 ≤ 2ⁿ

Then

(n+1)² = n² + 2n + 1 ≤ 2ⁿ +  2ⁿ

Then

(n+1)² ≤ 2ⁿ +  2ⁿ

Then

(n+1)² ≤ 2×2ⁿ

Then

(n+1)² ≤ 2ⁿ⁺¹

Conclusion:

n² ≤ 2ⁿ , ∀ n ≥ 4

Answer:

This depends on how many blue and red marbles there are in total.

Answer:

D) 2/3

Step-by-step explanation:

If you remove 1 red marble then there is 1 marbles left red.

If you add a blue marble then there is 4 blue marbles.

So it is 4/6 and when you simply it is 2/3.

Answer:

87.92 in^3

Step-by-step explanation:

Formula for finding the volume of a cylinder:

V=Bh

B= area of the base

h= height

Diameter=4 radius=2 The radius is half of the diameter

The base of a cylinder is a circle, so you would find the area of the circle and multiply it by the height of the cylinder.

V= (3.14*2^2)7

V= (3.14*4)7

V= 12.56(7)

V= 87.92 in^3

Answer:

The answer to this question should be b. 87.92 in^3 because the formula to find the volume of a cylinder is V=TTr^2h. and remember that the radius is half of the diameter so back to the question.

We multiplied 3.14 times 4 because remember that the radius is half of the diameter and we get 2 but remember the exponent so we need to multiplied to the second power 2 times 2 and we get 4 so when we multiplied 3.14 times 4 we get 12.56 and when we multiplied 12.56 times the height which is 7 we get 87.92 so check the choices and see if there is an answer and yes there is so b which is 87.92in^3 is hopefully the correct answer.

Step-by-step explanation:

Answer:

Answer: for One Unit to the Left: |1/2 x -3/2|+3

Step-by-step explanation: When translating to the left, you are going to end up with f(x-(-1)) meaning x+1. Even though left means subtracting, in translation it’s adding. (I hope that made sense).

that would create the equation |1/2x(x+1)-2|+3

If you solve that, it would simplify to |1/2x-3/2| which is the answer

Step-by-step explanation:

Answer:

1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67

The average age  is  22 yrs

The sum  of the ages  is  440 yrs

When  two  of the turtles leave, the average is  21 yrs....and there are 18 turtles left

So....the sum of the ages is  21 * 18  = 378

And the difference  in the sums  is  62

The only two values that sum to 62  are  26 and 36

So.....the box turtle must have been 36 and the map turtle must have been 26

Step-by-step explanation:

The age of the escaped box turtle is 36 years in the reptile house of the Kalamazoo Zoo.

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:

1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67

To find the age of the escaped box turtle, we can first find the average age of all the turtles before the escape. To do this, we can add up all the ages and divide by the number of turtles:

(1+1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67)/20 = 26

The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape, so the average age of the turtles remaining at the zoo is 26 - 1 = 25 years.

To find the age of the escaped box turtle, we need to subtract its age from the average age of the remaining turtles.

Let's represent the age of the box turtle X. We can set up the equation:

(1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67 - X)/19 = 25

We can solve this equation by multiplying both sides by 19 and then subtracting 67 from both sides:

1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 - X = 475

Then we can add X to both sides to get:

1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 -X + X = 475 + X

This simplifies to:

X = 36

Therefore, the age of the escaped box turtle is 36 years.

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Answer:

A'B' = B'C' = A'C' = 8 = 1/2

AB BC AC 4

Hence the scale factor is 1/2

Answer:

c 2/9

Step-by-step explanation

Answer:

No

Step-by-step explanation:

If you multiply 1.25(50) is 62.5

and 62.5 is larger than 60

so,

:• No; they weigh 62.5 ounces

Answer: D

Step-by-step explanation:

Facts

each car ways 1.25 ounces

he has 50 cars

his container can hold 60 ounces

The question: Will the container hold all the cars without going over 60 ounces?

Step 1: Find the total number of ounces for all 50 cars

1.25 x 50= 62.5

Step 2: Compare

62.5 > 60

Because 62.5 is greater than 60, all of the cars CANNOT fit.

Ans= D

Hope this helps :)) Brainliest would be appreciated :D

Answer: count how many yes and then count all of them then put the yes over the nos

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You can use process of elimination of this question. All we need to know is that the flat line is y = -2. No answer choice has this, so the correct option is B.