A set of 4 consecutive even integers has a sum of 380. What is the least of the 4 integers ?

Answers

Answer 1

Answer:

92

Step-by-step explanation:

If the 4 consecutive even integers have a sum of 380, then the average value is 380/4.

380/4 = 95

There must be 2 integers less than 95 and 2 grater than 95.

The 4 integers are: 92, 94, 96, 98

Sum: 92 + 94 + 96 + 98 = 380

Answer: 92

Answer 2

The 4 consecutive even integers are 92,94,96 and 98 whose sum is 380.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The  4 consecutive even integers has a sum of 380.

x+2+x+4+x+6+x+8=380

Add the like terms

4x+20=380

Subtract 20 on both sides

4x=380-20

4x=360

Divide both sides by 4

x=90

So the four consecutive integers are

x+2=90+2=92

x+4=90+4=94

x+6=90+6=96

x+8=90+8=98

Hence, the 4 consecutive even integers are 92,94,96 and 98 whose sum is 380.

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Related Questions

I owe my sister 6 dollars. After agreeing to wash her dishes, she agrees to forgive 4 dollars of what I owe her. What integer can I use to represent how much money I have remaining?

Answers

Answer:

2

Step-by-step explanation:

i think lol

Answer:

2!

Step-by-step explanation:

6-4=2

If it was asking to represent what she forgived, then 4!

3. John pumped 15 gallons of gas into his car. His total purchase
cost him $42.45. How much did each gallon of gas cost John? *

Answers

Each gallon of gas was $2.83

5.2.19
Challenge A​ company's stock began the day at ​$25.75 per share. That price drops by ​$1.08 each hour. What is the price per share after 4 ​hours? What would it be after 20 hours if this rate​ continues? Use pencil and paper. Explain what the signs of the answers mean in this context.
The price per share after hours is
nothing dollars.

Answers

Answer:

The price per share after 4 hours is $21.43

The price per share after 20 hours is $4.15

Step-by-step explanation:

Equations

The price of the company's stock is initially at $25.75 per share. Each hour the price drops by $1.08. This condition can be modeled by the function:

[tex]P(t)=25.75-1.08t[/tex]

Where t is the time in hours.

The sign means the function is decreasing as time passes.

When t=4 hours, the price will be:

[tex]P(4)=25.75-1.08\cdot 4=21.43[/tex]

The price per share after 4 hours is $21.43

Now find the price when t=20 hours

[tex]P(20)=25.75-1.08\cdot 20=4.15[/tex]

The price per share after 20 hours is $4.15

ok if i had 120 dollars and i spent 65 at the mall then i had had to do mutiplacation and ended up with 245 dollars how much money did i earn by mulitiplying

Answers

Answer:

2,678

Step-by-step explanation:

just add after your done

2,678 Is what I got for my answer

A theater has 32 rows of seats. If there are 26 seats in the first row, 30 in the second row, 34 in the third row, and so on, how many seats are there in all?

Answers

Answer:

2816

Step-by-step explanation:

x + 4

For Example: 30 + 4 = 34

pls help asap. Complete the table using the function h
20w - 15.

Answers

Answer:

125 and 185

Step-by-step explanation:

first u have to use the table values and put them in the linear equation.

so you have in first: w= 7, so: h= 20.7-15-->h=125

and in the last: w=10, so h=20.10-15-->h=185

Explain how to multiply decimals by powers of 10. Use 8.653 x 10 3 as an example, to show how the multiplication is done.

Answers

Answer:

when you get your answer add 10

Step-by-step explanation:

Answer:

8653

Step-by-step explanation:

You move the decimal point over how many places its being multiplied.

I don't think I put that in right, sorry...

If xy=13 and both x and y are positive integers, then what is the sum of x + y? Please show work

Answers

Answer:

14

Step-by-step explanation:

13 is a prime number

so it can only have the positive integer factors {1,13}

So {x,y} = {1,13} or {13,1}

In either case, 1+13 = 14

The sum of x + y is 14 .

What is prime number?

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

According to the question

xy=13

both x and y are positive

As 13 is a prime number

i.e

(x,y) can be only 1 or 13 .

To get 13 as product of xy

(x,y) must be equal to  (1,13) or (13,1)

Therefore,

the sum of x + y  = 13 + 1

                           = 14

                     

Hence, the sum of x + y is 14 .

         

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Make a poster that shows the element of reciprocity in a society​

Answers

Answer:

you have to create a poster some photos of property society limited

Which expression is equivalent to 48 + 60

Answers

Answer:

60 + 48

Step-by-step explanation:

All we did was switch the numbers around

High Hopes^^

Barry-

Answer:

No Picture But Your answer is 108

Step-by-step explanation:

108 is your answer


Whattttttttttttttttttttttttttttt??

Answers

Answer:

12730000

Step-by-step explanation:

4.108 x 10^7 = 41080000

2.835 x 10^7 = 28350000

41080000 - 28350000

Find the distance between the points (2, -5) and (-6, -11)

Answers

Answer:

Step-by-step explanation:

(2, -5)   ; (-6 , -11)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

              [tex]=\sqrt{(-6-2)^{2}+(-11-[-5])^{2}}\\\\=\sqrt{(-6-2)^{2}+(-11+5)^{2}}\\\\=\sqrt{(-8)^{2}+(-6)^{2}}\\\\=\sqrt{64+36}\\\\=\sqrt{100}\\\\=10[/tex]

What expression is equivalent to (5z2+3z+2)2

Answers

Answer: 25z^4 + 30z^3 + 29^2 +12z + 4

Hope this helps (:

Answer:

D

Step-by-step explanation:

edge 2020

HELP MEEEEE IM STUCK

Answers

Answer:

A- 4 and 40

Step-by-step explanation:

Multiply 81.2 by 0.45 and you get 36.54

Answer:

A

Step-by-step explanation:

Dan and Jennifer each improved their yards by planting rose bushes and ornamental grass. They
bought their supplies from the same store. Dan spent $86 on 8 rose bushes and 3 bunches of
ornamental grass. Jennifer spent $68 on 4 rose bushes and 14 bunches of ornamental grass.
What is the cost of one rose bush and the cost of one bunch of ornamental grass?

Answers

Answer:

one rose bush = $10 and one bunch of ornamental grass =$2

Lyndsey’s advertising firm is working on a project for one of its customers. Lyndsey is asked to move a figure in the advertisement. The new figure must be similar to the old figure. The change is shown in the graph. Write a series of transformations that Lyndsey can use to move the old figure to the new figure. Explain why the figures are similar. *

Answers

Answer:

Step-by-step explanation:

Since, old figure is the dilated form of the new figure.

For the dilation of the old figure to new by a scale factor 's',

s = [tex]\frac{\text{Side length of the new figure}}{\text{Side length of the old figure}}[/tex] = [tex]\frac{2}{4}=\frac{1}{2}[/tex]

Rule for the dilation of a point by a scale factor 'k',

(x, y) → k(x, y)

        → (kx, ky)

If the vertices of the old triangle are dilated by a scale factor of [tex]\frac{1}{2}[/tex],

Coordinates of the dilated triangle of the old triangle will be,

A(3, 4) → A'([tex]\frac{3}{2}[/tex], 2)

B(3, 8) → B'([tex]\frac{3}{2}[/tex], 4)

C(5, 4) → C'([tex]\frac{5}{2}[/tex], 2)

Now these points are rotated by an angle of 90° counterclockwise about the origin,

Rule for the rotation is,

(x, y) → (-y, x)

[tex]A'(\frac{3}{2},2)[/tex] → A"(-2, [tex]\frac{3}{2}[/tex])

B'([tex]\frac{3}{2}[/tex], 4) → B"(-4,

C'([tex]\frac{5}{2}[/tex], 2) → C"(-2,

Further these points have been reflected across x-axis,

A"(-2, [tex]\frac{3}{2}[/tex]) → P(-2, -[tex]\frac{3}{2}[/tex])

B"(-4, [tex]\frac{3}{2}[/tex]) → Q(-4, -[tex]\frac{3}{2}[/tex])

C"(-2, [tex]\frac{5}{2}[/tex]) → R(-2, -[tex]\frac{5}{2}[/tex])

Therefore, old triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex], followed by rotation of 90° counterclockwise about the origin and then reflected across x-axis to form the new triangle.

What is 7.9 x 103 in standard form?
es 0)
A)
0.079
B)
790
C
7.900
D
7.999

Answers

To write in standard notation, move the decimal point on
7.4
over as many times as the power of ten given.
Move to the left if the given power has a negative exponent
Move to the right if the given power has a positive exponent
Therefore:
7.4
×
10

5
=
0.000074

Flora made 6 withdrawals of $45 each from her bank account. What was the overall change in her
account?
The total change in her account is $

Answers

Answer:

$270

Step-by-step explanation:

6 times 45 is 270.

6x - y = -35
5x - 2y = -35

Answers

Answer:

x=-5 y=5 (-5,5)

Step-by-step explanation:

(6x-y=-35)-2

5x-2y=-35

-12x+2y=70

5x-2y=-35

-7x=35

x=-5

5(-5)-2y=-35

-25-2y=-35

-2y=-10

y=5

8(2x + 1) = 136 what does x equal in this equation

Answers

Answer:

8

Step-by-step explanation:

8(2x+1) =136

16x+8=136

16x=136-8

16x=128

x=128÷16

x=8

please mark brainliest

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

[tex]\boxed{x = 8}[/tex]

✽ First, Simplify both sides of the equation.

[tex]8(2x + 1) = 136[/tex]

[tex](8) (2x) + (8) (1) = 136[/tex]

       ↑↑↑↑

(✽ Distribute✽)

_______________

[tex]16x + 8 = 136[/tex]

✽ Then, Subtract 8 from both sides.

[tex]16x + 8 - 8 = 136 - 8[/tex]

[tex]16x = 128[/tex]

✽ Last, Divide both sides by 16.

[tex]\frac{16x}{16} = \frac{123}{16}[/tex]

[tex]x = 8[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Simplify the expression.

(15 − 8)7
[(6 + 1)2]2

Answers

The

Answer:

-5. because it is negative five.

Answer:

-5

Step-by-step explanation:

The first term in an arithmetic sequence is 5. The third term in the sequence is -1. The tenth term in the sequence is -22.

Which function can be used to find the nth term of the arithmetic sequence?



A.
An = -3n + 8

B.
An = n + 4

C.
An = 0.5(n+5) +2

D.
An = -n

Answers

Answer:

              A.               aₙ = -3n + 8

Step-by-step explanation:

You just simply check, the terms:

A.

    [tex]a_1=-3(1)+8=-3+8=5\\a_3=-3(3)+8=-9+8=-1\\a_{10}=-3(10)+8=-30+8=-22[/tex]      YES

B.

   [tex]a_1=1+4=5\\a_3=3+4=7\ne-1[/tex]   NOT

C.

  [tex]a_1=0.5(1+5)+2=0.5(6)+2=3+2=5\\a_3=0.5(3+5)+2=0.5(8)+2=4+2=6\ne-1[/tex]   NOT

D.

[tex]a_1=-1[/tex]   NOT

can i get help? plz....

Answers

Answer:

g-16

-11f+5

-2x+7y+10

Step-by-step explanation:

just follow pemdas and combine like terms

Answer:

-11F+5

Step-by-step explanation:

I used a calculator called

Find the slope of the line that passes through
(10, 1) and (5,2)
-5
-1/5
1/5
5

Answers

Answer:

-1/5 I believe, since you go down one and to the right by 5.

Statistics Canada reports that 13.7% of adult Canadians aged 15 or older report being limited in their daily activities due to a disability. If you take an SRS of 5000 Canadians aged 15 and over, what is the approximate distribution of the number in your sample who report being limited in their daily activities due to a disability? Select an answer choice. uniform distribution Normal distribution binomial distribution There is no distribution that approximates this situation well.

Answers

Answer:

A: Normal Distribution

Step-by-step explanation:

We are told that Statistics Canada reported 13.7% of adult Canadians aged 15 or older gave a report of being limited in their daily activities due to a disability.

Now, we are told that Simple Random Sample (SRS) of 5000 Canadians aged 15 and over was taken.

Now, the sample is 5000 and is therefore more than size of 30 which is the minimum for which we assume normal distribution from central limit theorem. This means that the approximate distribution of the number in the sample can be said to be a normal distribution.

y + 3y - 8 = 4(y - 2)

Answers

Answer:

Any value of y makes the equation true.

All real numbers

Interval Notation:

−∞, ∞

hope this helps you

please help me with this question. Given the functions f(x) = −2x + 30 and g(x) = 2x − 10, find the value of x for which f(x) = g(x).

Answers

Answer:

x = 10

Step-by-step explanation:

It says they equal each other so equal the two separate expressions together

-2x + 30 = 2x - 10

goal is to isolate variable x

add 2x to both sides (this cancels out the -2x on the left side)

30 = 4x - 10

add 10 to both sides (this cancels out the -10 on the right side)

40 = 4x

divide 4 by both sides (cancels out 4 on the right side)

10 = x

Rosa is putting carpet in her rectangular bedroom. She made a scale drawing using the scale 1 in = 3 ft. In the drawing the length is 5.5 in and the width is 3.25 inches. If the carpet is $2.58 per square foot, how much will it cost to carpet the bedroom?

Answers

Answer:

Total cost of carpet = $415 (Approx)

Step-by-step explanation:

Given:

Scale = 1 in = 3 ft

Length = 5.5 in

Width = 3.25 in

Carpet cost = $2.58 square foot

Find:

Total cost of carpet

Computation:

Actual Length = 5.5 x 3 = 16.5 ft

Actual Width = 3.25 x 3 =9.75 ft

Area = 16.5 x 9.75 = 160.875

Total cost of carpet = 2.58 x 160.875

Total cost of carpet = $415.0575

Total cost of carpet = $415 (Approx)

Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water than contains 36 bottles and sells three times as many bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?

Record your answer in the grid below.

Be sure to use the correct place value.

Answers

Answer:

Sylvia sold 6 bottles of water and Sam sold 18 bottles of water if they ended up with the same number of bottles left

Step-by-step explanation:

Sylvia

Total bottles bought = 24

Total bottles sold = x

Bottles remaining = Total bottles bought - Total bottles sold

= 24 - x

Sam

Total bottles bought = 36

Total bottles sold = 3x

Bottles remaining = Total bottles bought - Total bottles sold

= 36 - 3x

Equate both equations

24 - x = 36 - 3x

Collect like terms

24 - 36 = -3x + x

- 12 = -2x

Divide both sides by -2

x = -12 / -2

= 6

x = 6

Sylvia Total bottles sold = x

= 6

Sam Total bottles sold = 3x

= 3(6)

= 18

Sylvia sold 6 bottles of water and Sam sold 18 bottles of water if they ended up with the same number of bottles left

Select the graph of the function f(x)=0-3 - 3x^2. Then find the value of f(x) when x=0.

Answers

Ik the graph points downward
The y-int should be -3

But x is all real numbers
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