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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:

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.

To learn more about the stem-and-leaf diagram click here:

https://brainly.com/question/8450114

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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:

c 2/9

Step-by-step explanation

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.

More about the sum of arithmetic sequence link is given below.

https://brainly.com/question/25749583

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Answer:

it would be 3 1/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If you add 4+5=9 and then divide 9÷2, ( 2 is the number of digits you used) then the answer would be 4 1/2

Answer:

an=3n (A1=3)

an=3n+3 (a1=6)

an=3n-3 (a1=0)

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

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Mean and Median

p.s. I think

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: $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:

LCD=14 B. 6/7

Step-by-step explanation:

5/7 x 2

10/14

10/14 + 2/14=12/14

12/14 divided by 2=6/7

Answer:

  1/2(n -10) = -4

Step-by-step explanation:

Understanding the given sentence as a math sentence requires that you first understand it as an English sentence.

The subject of the English sentence is "difference". We know that a difference in math is two values separated by a minus sign. Having understood that, we need to identify the two values involved.

The descriptor of "difference" in the English sentence is "of a number n and 10." This tells us the two values are "n" and "10". The first one listed goes on the left of the minus sign. So, the difference we're talking about is ...

  (n -10)

The English sentence tells us that this difference is multiplied by 1/2. The math equivalent is shown as ...

  [tex]\dfrac{1}{2}(n-10)[/tex]

When the English tells us the result of this operation, it means this value is equal to that result. We are told this value is equal to -4

We now know the left- and right-sides of the equation being described in English. That means the equation described is ...

   [tex]\dfrac{1}{2}(n-10)=-4[/tex]

Answer:

10

Step-by-step explanation:

4 x 5 ÷ 1/2 = 10

Answer:

she would need 2 bags because it is 18 but covers 10 square feet

Step-by-step explanation:

Width = 1 yard = 3 feet

Length = 6 feet

Square feet(area) of the floor = 6ft × 3ft = 18sqft

1 bag = 10sqft

x bag = 18 sqft

x bags = (18 × 1)/10

= 1.8 bags

2 bags

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:

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:

a,b

Step-by-step explanation:

Answer:

the ladder is 5 ft from the base of the wall.

--

To find the unknown length, we need to use the Pythagorean Theorem

Since the legs are x and 12 this means that a=x and b=12

Also, since the hypotenuse is 13, this means that c=13.

Subtract 144 from both sides.

Combine like terms.

Take the square root of both sides.

x=5 Simplify the square root.

Answer:

So the solution is x=5 which means that the foot of the ladder is 5 ft from the base of the wall.

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:

b. 1/2

Step-by-step explanation:

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