The sum of three consecutive numbers is 129 what is the smallest of the three numbers

Answer:

77 is a composite number

Step-by-step explanation:

41 = 1 × 41

77 = 1 × 77 = 7 × 11

83 = 1 × 83

89 = 1 × 89

97 = 1 × 97

Answer:

Step-by-step explanation:I would say 77.The reason is because a composite number is where it has a multiple more than just itself or 1.So what you can do is write the multiples of each number.Then once you do that you can easily tell which numbers are composite and prime numbers.Remember prime numbers are numbers that just have a multiple of one and itself.

Hope this helps!!!!!

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x = 2y + 7      (*)

x = y + 4       (**)

Substitute (*) to (**):

2y + 7 = y + 4      subtract 7 from both sides

2y = y - 3        subtract y from both sides

Put the value of y to the second equation:

x = -3 + 4

Answer:

No.

Step-by-step explanation:

The whole numbers are 0, 1, 2, 3, ... (3/4)^2 is 9/16, which is not a whole number.

Answer:

g=4

Step-by-step explanation:

If you're solving for g, you need to get it alone on one side. The way I did so was to subtract 7 from each side.

15 = 2g + 7

-7            -7

If you do that, the 7 on the right cancels out and you're left with 8 = 2g. To get the g alone, you divide it by it's base on both sides which in this case is 2.

8/2 = 2g/2

That will cancel the 2 out and will leave you with g on the right side and on the left side would be 4 because simple division (8/2=4)

Your final answer should be g = 4

Final answer:

In a classroom with 12% left-handed students, the fraction representing them is 3/25 after simplification, and with 88% right-handed students, their fraction is 22/25. Since 22/25 is greater than 3/25, there are more right-handed students.

Explanation:

If 12% of the students in your class are left-handed, the fraction of students that are left-handed is 12/100, which can be simplified to 3/25 by dividing both the numerator and the denominator by 4. There are clearly more right-handed students because if 12% are left-handed, then 100% - 12% = 88% are right-handed. The fraction of right-handed students is 88/100, which simplifies to 22/25. Comparing the two fractions, 3/25 for left-handed students and 22/25 for right-handed students, it’s evident that there are more right-handed students in your class.

a) The probability of missing for the first time on the fourth attempt is 0.16%. b) The probability of making the first basket on the fourth shot is 0.8%. c) The probability of making the first basket on one of the first 3 shots is 99.2%.

a) To find the probability that the basketball player misses for the first time on his fourth attempt, we need to consider that each shot is independent. Since he has made 80% of his shots, the probability of making a shot is 0.8. Therefore, the probability of missing a shot is 1 - 0.8 = 0.2. Since the shots are independent, the probability of missing on the fourth attempt is 0.2 raised to the power of 4 = 0.0016, or 0.16%.

b) To find the probability that the basketball player makes his first basket on his fourth shot, we use a similar approach. The probability of making a shot is 0.8, and the probability of missing a shot is 0.2. The probability of making a shot on the fourth attempt is then 0.2 raised to the power of 3, multiplied by 0.8 = 0.2 * 0.2 * 0.2 * 0.8 = 0.008, or 0.8%.

c) To find the probability that the basketball player makes his first basket on one of his first 3 shots, we need to find the complementary probability. The probability of not making a basket on the first 3 shots is 0.2 raised to the power of 3 = 0.008. Therefore, the probability of making a basket on one of the first 3 shots is 1 - 0.008 = 0.992, or 99.2%.

Answer:

Slope is 5, y-int is 1, and f(n) = 5n+1

Step-by-step explanation:

So, since we are dealing with an arithmetic sequence, it is linear. If you notice, it is just adding 5 from the previous term. This represents a slope of 5. Increase of 1 in x and increase of 5 in y. Then, f(1) = 6. Since 1 x 5 is 5, and 5 + 1 = 6, the b is 1. This is because the normal 5x is deviated by 1. Since it is arithmetic, that 1 unit deviation will carry on. The last question basically says just write the y=mx + b but just use n and f(n), which is f(n) = 5n + 1.

Answer: They have 5 common multiples, so your answer would be 5.

Step-by-step explanation: To find the answer, find the multiples of both 4 and 6 up to 60, then find the common numbers. Count how many common number there are, and that would be your answer (5)

Answer:5

Step-by-step explanation:

Find how many multiples they share until 60

Answer:

254.34

Step-by-step explanation:

The formula for area of a circle is given by

A = pi * r^2

A = pi * 9^2

A = 81*pi

Using 3.14 as an approximation for pi

A = 3.14*81

A = 254.34

Answer: A. Frederico raised the most money.

Step-by-step explanation:

The easiest way to look at it is to convert the fractions into decimals.

1. 6/7 = .857

2. 5/9 = .3 repeating

3. 11/10 = 1.1

So, when it is put into decimals it is easier to understand who raised the most money (Frederico).

Hope this helps :)

The square of a whole number between 4500 and 4900 must be between 67 and 69, hence the number is in the range of 65 to 70 excluding 70.

The student's question involves finding the whole number whose square falls between 4500 and 4900. To solve for the range of whole numbers, we need to take the square root of both limits. Since the square root of 4500 is approximately 67.08 (rounded down to the nearest whole number is 67) and the square root of 4900 is exactly 70, the whole number must be between 67 and 70. However, since 70 squared gives us 4900, we exclude it from the possible numbers. Therefore, the possible numbers are 67, 68, and 69, which means the correct answer is between 65 and 70.

Answer:

If you are saying 1/6 of 1703% then your answer is 2.8383 repeating.

Step-by-step explanation:

Divide 1703 by 1/6

Answer:

JL = 70

Step-by-step explanation:

If K is the midpoint of the segment, then JK = KL

JK = KL

9x-1 = 2x+27

Subtract 2x from each side

9x-2x -1 = 2x+27-2x

7x-1 = 27

Add 1 to each side

7x-1+1 = 27+1

7x = 28

Divide each side by 7

7x/7 = 28/7

x =4

But we want to find JL

JL = JK + KL

JL = 9x-1 +2x+27

Combine like terms

JL =  11 x+ 26

Substitute x =4

JL = 11*4+26

JL = 44+26

JL = 70

The length of line segment JL, when K is its midpoint and given jk = 9x - 41 and kl = 2x + 27, is 70.

This question is related to geometry and specifically the section on line segments. Firstly, if K is the midpoint of line segment JL, that means JK and KL are of equal lengths. So, we can set their equations equal to each other:

9x - 1 = 2x + 27

To solve this equation, start by subtracting 2x from both sides to isolate the variable x on one side:

7x - 1 = 27

Next, add 1 to both sides:

7x = 28

Dividing both sides by 7 gives:

x = 4

Substitute x = 4 into either of the equations, say kl = 2x + 27, gives the length of segment KL as:

kl = 2(4) + 27 = 35

The length of JL would then be twice the length of KL (since K is the midpoint) so:

jl = 2 * 35 = 70.

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Answer:

4

Step-by-step explanation:

since 2<5, 4.237 ≈ 4

Answer:

$200L+$100B ≥$5000

Step-by-step explanation:

Given :

Hyun Yong wants to donate more than $5000 in laptops and bicycles.

Each laptop that he donates is worth $200, and each bicycle that he donates is worth $100.

To Find : An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal.

Solution :

L denotes the number of laptops.

Since cost of each laptop is $200

Thus cost of L laptops = $200L

B denotes the number of bicycles.

Since cost of each bicycle is $100.

Thus cost of B bicycles = $100B

Now, he wants to donate more than $5000 in laptops and bicycles

So, inequality will be : $200L+$100B ≥$5000

Hence, An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal:

$200L+$100B ≥$5000

Answer:

First you'll need to times 3 by 2 which makes 6 which makes your expression now -6(y+2)-5+6y. Then you make -6(y+2) into -6y-12. Which now makes it into -6y-12-5+6y which makes -17 as the answer

Answer:

-3 squared +(-6) +-17

Step-by-step explanation:

Answer: Joseph is 17 Andrea is 21 Brandon is 63

Step-by-step explanation:

The value of the expression is 1.

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2(x + 3y - 3) - (2x + 6y - 7)

= 2x + 6y - 6 - 2x - 6y + 7

Combining like terms.

= -6 + 7

= 1

Thus,

The value of the expression is 1.

Learn more about expressions here:

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Answer:

yes it's a function

The graph is not a function as different input but the same output.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function that is periodic.

If we draw a horizontal line it will intersect the graph at more than one points which lead to different input but the same output so the graph is not a function

learn more about functions here :

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If [tex]x+2[/tex] is a factor of [tex]h(x)[/tex], then by the polynomial remainder theorem, [tex]h(-2)=0[/tex]. So

[tex]h(-2)=(-2)^3+8(-2)^2+A(-2)+4[/tex]

[tex]-8+32-2A+4=0\implies2A=28\implies A=14[/tex]

It would be your second option. It's the only one that passes the vertical line test.

Answer:

2nd option

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

180-80-35=65

Answer:

The expressions are not equivalent.

Step-by-step explanation:

Three-tenths of the total volume, v = [tex]\frac{3}{10} (v)[/tex]

= 0.3 × v --- (1)

But, 310x is 310 × v --- (2)

Since (1) and (2) represent the same volume,

0.3 × v = 310 × v

Divide both sides by v,

0.3 = 310 which is a contradiction.

Therefore, the expressions are not equivalent.

Answer:

-8 Is the answer

Step-by-step explanation:

I'm not in Connecticut academy, but I could help you!!!! :) BTW, I also do Algebra.... Soooo.. I can help!!!

Final answer:

I cannot provide the exam you're seeking, but I can help with Algebra 1 questions.

Explanation:

Apologies, but I cannot provide you with the exam you're seeking. However, I'd be more than happy to help you with any specific questions or concepts you're struggling with in Algebra 1. Just let me know what you need assistance with!

Answer:

6n - 4

Step-by-step explanation:

product means to multiply

let the number be n, then

product of 6 and n = 6 × n = 6n

4 less than this product means subtract 4 from it, hence

6n - 4 ← required expression

Answer: 5cups of flour = 1 loaf of bread

45 loaves of bread multiplied by 5 cups of four = 225 cups of flour to make 45 loaves of bread.

225 cups of flour divided by 4 = 56.25 pounds of flour.

Karen needs approximately 56.25 pounds of flour to make the loaves of bread.

To find how many pounds of flour Karen needs to make the loaves of bread, we need to convert the number of cups into pounds. Each loaf requires 5 cups of flour, and 1 pound of flour is equivalent to about 4 cups. Therefore, we can set up a proportion to find the number of pounds:

pounds of flour / cups of flour = number of loaves

Let's solve for pounds of flour:

pounds of flour = (number of loaves * cups of flour per loaf) / cups of flour per pound

Plugging in the numbers, we get:

pounds of flour = (45 * 5) / 4 = 56.25 pounds

Therefore, Karen needs approximately 56.25 pounds of flour to make the loaves of bread.

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Answer:

y = 67108864 rabbits

Step-by-step explanation:

The equation for growth is

y= a(b)^(t)

where a is the initial amount

b is the growth rate and

t is the time in months

2 years = 24 months

Assuming the population doubles at the end of the 1st month

Substituting in what we know

y = 4 (2) ^ (t)

y= 4 *2 ^ 24

y = 4*16777216

y = 67108864 rabbits

If they do not double at the end of the first month and wait until the second month, divide this number by 2

y = 4 (2) ^ (t-1)

y= 4 *2 ^ 23

y = 4*8388608

y = 33554432 rabbits