the sum of three consecutive integers is 267. What is the largest integer?

Answers

Answer 1

Answer: 90

Step-by-step explanation:

We first need to find three consecutive numbers that adds up to 267. We know that the numbers will be somewhat close to 100 because the sum needs to be past 250.

Let's try 85,86,87.

85+86+87=258

258 is very close to 267. We know that we need to increase our numbers.

Let's try 88,89,90.

88+89+90=267

88,89, and 90 added together gives us 267. The question asks for the largest integer. In 88, 89, 90, 90 is the largest integer.


Related Questions

Solve for h: 7a=10+2h​

Answers

Answer:

[tex] \frac{7a}{2} - 5 = h[/tex]

Step-by-step explanation:

[tex]7a = 10 + 2h[/tex]

Isolate 2h

[tex]7a - 10 = 2h[/tex]

Divide both sides of the equation by 2

[tex] \frac{7a - 10}{2} = \frac{2h}{2} [/tex]

Simplify

[tex] \frac{7a}{2} - 5 = h[/tex]

please helppppppppppppppppppppppppppp

Answers

Answer:

Each friend will need to contribute $20

Step-by-step explanation:

For the problem regarding the equally distributed cost per friend to rent a go-cart track, we can simply use the following eqaution:

Cost per friend = Total cost / # of friends

We are given that the Total cost is $100 and that there are 5 friends.  So let's plug this into the equation to find the cost per friend (Assuming each friend is paying an equal amount):

Cost per friend = Total cost / # of friends

Cost per friend = $100 / 5

Cost per friend = $20

Hence, each friend will need to contribute $20.

Cheers.

Write an equation of the line that passes through
the given point and has the given slope.
(1/2,4),m = -8

Answers

Answer:

The answer is

y = - 8x + 8

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

[tex]y - y _{1} = m(x - x _1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is

(1/2,4) and slope m = -8

The equation of the line is

[tex]y - 4 = - 8(x - \frac{1}{2} ) \\ y - 4 = - 8x + 4 \\ y = - 8x + 4 + 4[/tex]

We have the final answer as

y = - 8x + 8

Hope this helps you

Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem?

Answers

Answer:

1000 calories

Step-by-step explanation:

2000-(1400-400)

Answer:

800

Step-by-step explanation:

2000−1200

=2000−1200

=2000+−1200

=800

The length of a rectangular field is 45 ft greater than its width, w ft. how much fencing is needed to enclose the field and divide it into two parts as shown?

Answers

Answer:

Length of fencing needed = 4x + 45

Step-by-step explanation:

Assume;

Width of rectangle = x

So,

Length of rectangle = x + 45

Find:

Length of fencing needed

Computation:

Length of fencing needed = 2(l+b) + b

Length of fencing needed = 2(x+45+x) + x

Length of fencing needed = 2(2x+45) + x

Length of fencing needed = 4x + 45

Given f(x) = x2 - 10x + 22, what is the domain of f

Answers

Answer:Polynomials have the domain of all Reals.   Plugging any Real number into the equation will give you a value. Domain = {x|x∈R} Step-by-step explanation:The range is dependent on the curve itself.  The axis of symmetry for this function isx = -b/2a = -1(-10)/2(1) = 10/2 = 5 The vertex is F(5) = (5)2 + (-10)(5) + 21 = 21 -50 + 21 = -8Since the leading coefficient is positive, the parabola opens up and the vertex (5,-8) is a local minimum.  It turns out to be an absolute minimum too so the Range = {x|x∈R, x≥-8}

Thank yousunshinemadison101

The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ f (x) = x² - 10x + 22

Now, We know that;

Domain of a function is defined as a set of value for which the value of function is real and defined.

Here, There is no points for x where the function f(x) is non defined.

Hence, Whole number line is the domain for the given function.

So, The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

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are the expressions (x + 7) (x - 3) and (x + 7) equivalent expressions? explain

Answers

Answer:

No

Step-by-step explanation:

(x+7)(x-3) are different from (x+7), since they generate a different result when foiling.

Answer:

no

Step-by-step explanation:

just to make you clear...

to check if two terms or expression are equivalent or equal

just divide them and if quotient is 1 then they are equal

but in this case.their quotient will be (x-3)

ASAP Please! Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem. A. 3 B. 5 C. 7 D. 9

Answers

Answer:

9

Step-by-step explanation:

First add 6 to Benjamin's age to make it 18, which is twice Lucas's age. Because it's twice as much, divide 18 by 2 to get 9.

A spinner with 50 evenly sized sections and numbered 1 to 50 is spun. What is the probability that the number spun is 33 given that the number is odd?

Answers

1/50 chance that it’ll land on 33

x/10 + y/1000 = 1

Can you please rewrite this in slope-intercept form


Please help !!!

Answers

Answer: See below

Explanation:

Slope-int form: y = mx + b

x/10 + y/1000 = 1
y/1000 = -x/10 + 1
y = 1000(-x/10 + 1)
y = -100x + 1000

Therefore, y = -100x + 1000

Answer:  

Slope-int form: y = mx + b

x/10 + y/1000 = 1

y/1000 = -x/10 + 1

y = 1000(-x/10 + 1)

y = -100x + 1000

Step-by-step explanation:

o the
What is the x-coordinate of the point plotted below?

Answers

Answer:

The x coordinate is 2

Step-by-step explanation:

Since the point is on 2 of the x-axis. The exact coordinates of that point is (2,0)

The x-coordinate of the point plotted is (2, 0)

What is Coordinate Geometry?

Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

We need to find the x-coordinate of the point plotted  in the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The x value of the point (x, y) is known as the abscissa. It represents the distance of the point from the origin or along the horizontal x-axis.

The point is at 2 on x axis and y value will be zero

(2, 0) is the x coordinate of the given point

Hence,  the x-coordinate of the point plotted is (2, 0)

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Given f(x) = -x + 2, find f(0)

Answers

Step-by-step explanation:

Using the f(x) defined in the question,

f(0) = -(0) + 2 = 2.

Increase £36.00 by 10%

Answers

Answer:

3.6

Step-by-step explanation:

10% = .10

36 * .10 = 3.6

Jonathan fills 2/5 of a toffe box in 15 seconds. How many boxes can he fill in 10 minutes?

Answers

Answer:

16 boxes in 10 minutes

Step-by-step explanation:

2/5 = 15 sec

15 ÷ 2=7.5              1/5 = 7.5 seconds

7.5 × 5 = 37.5            37.5 = 1 box

60 × 10 = 600 secs

600 ÷ 37.5 = 16

16 boxes of toffee were made in 10 minutes

What is the value of (–7 + 3i) – (2 – 6i)?

Answers

Answer:

9 (i - 1)

Step-by-step explanation:

Simplify the following:

-7 + 3 i - (-6 i + 2)

Hint: | Distribute -1 over 2 - 6 i.

-(2 - 6 i) = -2 + 6 i:

-2 + 6 i - 7 + 3 i

Hint: | Evaluate -2 + 6 i - 7 + 3 i.

-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:

9 i - 9

Hint: | Factor common terms from 9 i - 9.

Factor 9 out of 9 i - 9 giving 9 (i - 1):

Answer: 9 (i - 1)

How many places after the decimal point does the equivalent decimal have if: the denominator of the fraction is 100?​

Answers

Answer:

2 places after the decimal point.

Step-by-step explanation:

Answer:

2 places after the decimal point

Step-by-step explanation:

[tex]\frac{1}{100}[/tex] =0.01

Hav a nice day

Solve the equation 3x-7=x+23

Answers

Answer:

x = 15

Step-by-step explanation:

3x-7=x+23

Subtract x from each side

3x-x-7=x-x+23

2x -7 = 23

Add 7 to each side

2x-7+7 = 23+7

2x = 30

Divide by 2

2x/2 = 30/2

x = 15

Answer:

x=15

Step-by-step explanation:

3x-x=23+7

2x=30 divide by 2

x=15

There are three choices of jellybeans: grape, cherry and orange. If the probability of getting a grape is 3/10 and the probability of getting cherry is 1/5, what is the probability of getting orange?

Answers

can u plzz explain me the question

Answer:

5/10, or 1/2

Step-by-step explanation:

If the probability of getting a grape is 3/10, and the probability of a cherry is 1/5 or 2/10, then the probability of getting orange is 5/10.

3/10+2/10=5/10

10/10-5/10=5/10

Simplified: 1/2

Which of the tables represents a function? (4 points)
Please help i’m having a really hard time

Answers

Answer:

table A

Step-by-step explanation:

side note: if the outputs have the same numbers there not a function

(x - 5)2 = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides

Answers

Here is your answer

x = 17.5

Make as brainliest plzz....

Hope this answer is helpful....

A computer had 2 gigabytes of data stored on it when Jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table below. Which of these statements is correct about the linear function that represents this situation? Amount of Data Stored on Jackie’s Computer Time (year) 0 1 2 3 4 Gigabytes of Data 2 2 + 3.5 = 5.5 5.5 + 3.5 = 9 9 + 3.5 = 12.5 12.5 + 3.5 = 16 The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing. The initial value represents the 2 gigabytes per year that Jackie is storing, and the rate of change represents the 3.5 gigabytes of data stored on the computer when Jackie bought it. The initial value represents the 3.5 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 2 gigabytes per year that Jackie is storing. The initial value represents the 3.5 gigabytes per year that Jackie is storing, and the rate of change represents the 2 gigabytes of data stored on the computer when Jackie bought it. Mark this and return

Answers

Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Initial data when Jackie bought = 2 gigabytes

Rate of change of data per year:

[tex]\rm\frac{dB}{dt} = 3.5[/tex]

We can frame a linear function such that:

[tex]\rm y = 2 + n(\frac{dB}{dt})[/tex]

[tex]\rm y = 2 + 3.5n[/tex]

Where y represents the total data stored at n years.

And n represents the [tex]\rm n^{th}[/tex] year

When n = 0 then y = 2     (initial data when Jakie bought it)

When n = 1 then y = 5.5   (after one year the amount of data Jakie's                                                       computer has)                          

Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.

Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

Learn more about the function here:

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5. Gaylen works 40 hours every week during the summer and makes $11.50 an hour. In
addition, he earns about $500 selling fireworks on the Fourth of July. How much did he
make during a 12 week period in the summer?
Das Istre
bi
mooni patololes 791)

Answers

R = $11.50/hr
H = 40 hrs per week
D = 12 weeks
Extra = $500

Find how much he earns per week
$ 11.50 x 40 = $ 460.00

How much did he earn in 12 weeks
$ 460.00 x 12 = $ 5,520.00

Add his wage and the extra
$ 5,520.00 + $ 500 = $ 6,020.00

Which phrase matches the algebraic expression below? (1 point) 3(x − 7) + 10 Three times the sum of x and seven plus ten Three times x minus seven plus ten Three times x minus the sum of seven and ten Three times the difference of x and seven plus ten

Answers

Answer:Three times the difference of x and seven plus ten

Step-by-step explanation:

3 1 8 5 7 2 1 6 find the mode

Answers

Answer:

1

Step-by-step explanation:

Mode is 1 as 1 has repeated the most number of times

Answer:

The mode is 1.

Step-by-step explanation:

The mode is 1 because that number occurs the most number of times.

Hope I helped!

How’d do you simplify it?

Answers

Answer:

The answer is

[tex]8 \sqrt{3} \: {m}^{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{192 {m}^{4} } [/tex]

First of all factor out the perfect square

From the question the perfect square is 64

We have

[tex] \sqrt{64 \times 3 {m}^{4} } [/tex]

The root of a product is equal to the product of the roots of each factor

So we have

[tex] \sqrt{64 \times {3m}^{4} } = \sqrt{64} \times \sqrt{3} \times \sqrt{ {m}^{4} } \\ [/tex]

Simplify

[tex] \sqrt{64} = 8 \\ \sqrt{ {m}^{4} } = {m}^{2} [/tex]

So we have

[tex]8 \times \sqrt{3} \times {m}^{2} [/tex]

We have the final answer as

[tex]8 \sqrt{3} \: {m}^{2} [/tex]

Hope this helps you

PLSSSS HEP ITS URGENT!!

1+6=6x6/6

Answers

Answer:

7=6

Step-by-step explanation:

since it is times 1 plus 6 = 6 times 6 divided by 6

1+6=6x6/6

1+6 is 7

6 times 6 is 36  then 36 divided by 6 is 6

then you get  7=6  

Write a recursive formula for the sequence.
11, 7, 3, -1, ...

Answers

Answer:-4

Step-by-step explanation:

11,7,3,-1,-5,......they have a difference of -4

11-4=7

7-4=3

3-4=-1

-1-4=-5

Recursive formula for the given sequence is [tex]a_{n}=a_{n-1}-4[/tex]

What is Recursive formula?

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).

Consider

The first term [tex]a_{1} =11[/tex]

second term [tex]a_{2}=7[/tex]

Common difference = 7-11 = -4

Third term [tex]a_{3}=3[/tex]

Common difference = 3-7 =- 4

Fourth term [tex]a_{4}=-1[/tex]

Common difference = -1-3= -4

Then the formula for the sequence is [tex]a_{n}=a_{n-1}-4[/tex]

Hence, the Recursive formula for the give sequence is [tex]a_{n}=a_{n-1}-4[/tex]

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If the square root of a number is equal to twice the same number what is the number?

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

let the number be x , then

[tex]\sqrt{x}[/tex] = 2x ( square both sides )

x = (2x)² = 4x² ( subtract x from both sides )

4x² - x = 0 ( factor out x from each term )

x(4x - 1) = 0

Equate each factor to zero and solve for x

x = 0

4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]

Assuming x > 0 then the number is [tex]\frac{1}{4}[/tex]

As a check

[tex]\sqrt{\frac{1}{4} }[/tex] = [tex]\frac{1}{2}[/tex] and 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]

14- =5+4
SECOND GRADE MATH HELP PLS​

Answers

Answer:

5

Step-by-step explanation:

14, 13, 12, 11, 10, 9.

5+4 = 9

Answer:

5

Step-by-step explanation:

You're given 14 - [something] = 5 + 4.

You can start out by making sure you understand what you see.

If fourteen minus a number equals five plus four, you can start out by adding five and four together, right?

And you can figure out that 5 + 4 = 9.

So now, the question is just asking you to find a number such that when you subtract it from 14, you get 9:

14 - [something] = 9

Now you can just think about this. Fourteen minus what equals 9?

You can just count down: 14, 13, 12, 11, 10, 9. You counted down five times to get to 9, so the missing number is 5.

Or, you can also think like this:

You know that 10 is just one more than 9.

14 - 4 = 10. So 14 minus what is 9? 14 - 5 = 9 It has to be 5!

I need help with this- I've never seen a graph like this- haha

Answers

Answer:

I think it's the third answer.

Step-by-step explanation:

The line is going through those points.

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