The sum of four consecutive integers is 390. Find the integers (Please show your work)

Answers

Answer 1

Answer:

The integers are 96, 97, 98, and 99

Step-by-step explanation:

first integer = x

second integer = x+1

third integer = x+2

fourth integer = x+3

(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time

The sum (add them all up) is (=) 390 so

x+(x+1)+(x+2)+(x+3) = 390

4x+6=390

4x+6-6=390-6

4x=384

4x/4=384/4

x=96

x+1=97

x+2=98

x+3=99

The integers are 96, 97, 98, and 99


Related Questions

Channing earns $12.60 per hours at his job. During one week , he worked a total of 26 1/2 hours . He deposited 280.00 in the bank and decided to use the rest if his money to buy shirts for work . If each shirt coats 8.60 what is the amount of shirts canning can buy ?

Answers

Answer:

he can get 6 shirts

Step-by-step explanation:

12.60 x 26.5

333.9 - 280

53.9 ÷ 8.6

6

Answer:

6

Step-by-step explanation:

Work out the area of trapezium ABDE

Answers

Answer:

Use corresponding triangles to get CE value.

[tex] \frac{8}{6} = \frac{ce}{9} [/tex]

CE = 12 cm

Then

DE= 12-8 = 4 cm

To calculate the area,

[tex]( \frac{9 + 6}{2} ) \times 4[/tex]

30 cm^2

find abc !!!!!!!! !!!!!

Answers

Answer:

58 degreess

3x+11=4x-5

-3x      -3x

11=x-5

+5   +5

16=x

x=6

3(6)+11

18+11

29

29*2

58

Step-by-step explanation:

How do you solve this problem?

Answers

The product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be 2/15 x² + 1/30 x - 1/4.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

(1/5 x - 1/4) and (2/3 x + 1)

Then the product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be

⇒ (1/5 x - 1/4) (2/3 x + 1)

⇒ 2/15 x² + 1/5 x - 1/6 x - 1/4

⇒ 2/15 x² + 1/30 x - 1/4

More about the multiplication link is given below.

https://brainly.com/question/19943359

#SPJ1

yolanda's yoga class charges a $20 membership fee and $20 per visit.
write an expression that represents the cost of "x" visits: C=_______
how many visits would it take for the two costs to be the same?
(use your expressions and make them equal to each other and solve)

Answers

The 2 expressions: 10x + 100 and 20x + 20

20x + 20:

20 dollars per visit (20x)  ;  20 dollar fee (20)

10x + 100 = 20x + 20    Subtract 10x from both sides

100 = 10x + 20          Subtract 20 from each side

80 = 10x               Divide by 10

x=8

Directions: Evaluate the rational algebraic expressions. Write your answer on your answer sheet. 1. 57 39 4. 2. tryti ;y=-2 ya-1 3. 3-42222 22-58+6 32%3D-3​

Answers

Rational algebraic expressions are expressions that can be represented as a quotient of two polynomials.

The result of the expressions are:

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

[tex]\mathbf{(a)\ \frac{5x}{3x - 9};\ x = 4}[/tex]

First, we substitute 4 for x

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{5 \times 4}{3 \times 4 - 9}}[/tex]

Evaluate all products

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{12 - 9}}[/tex]

Subtract

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{(b)\ \frac{y^2 + 4y + 1}{y^2- 1};\ y =-2}[/tex]

First, we substitute -2 for y

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{(-2)^2 + 4 \times (-2) + 1}{(-2)^2- 1}}[/tex]

Evaluate all products and exponents

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{4 -8 + 1}{4- 1}}[/tex]

Subtract

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{-3}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

Read more about rational algebraic expressions at:

https://brainly.com/question/21511236

solve 10x-3(x-7)=x+39

Answers

X=3 bdbdjdjdjjdjdjdjdjfhjfjfjjfjfjfjfjfjjfjfjf

Answer:

[tex]10x-3\left(x-7\right)=x+39[/tex]

[tex]-3\left(x-7\right)[/tex]

[tex]-3x+21[/tex]

[tex]10x-3x+21=x+39[/tex]

** Combine like terms ↓ **

[tex]10x-3x=7x[/tex]

** Subtract 21 from both sides ↓**

[tex]7x+21-21=x+39-21[/tex]

[tex]7x=x+18[/tex]

** Subtract x from both sides ↓ **

[tex]7x-x=x+18-x[/tex]

[tex]6x=18[/tex]

**Divide both sides by 6 ↓*

[tex]\cfrac{6x}{6}=\cfrac{18}{6}[/tex]

[tex]x=3[/tex]

help please!!!!!!!!!!

Answers

Answer:

k

Step-by-step explanation:

10. Name the line three ways.

Answers

Hi there, can you elaborate on your question. I don’t understand

what is 1+2+3+4+5+6+7+8+9+10=???

Answers

55 is the answer to that

I really need help with this it’s due tonight

Answers

The upside down t means perpendicular meaning they hit at a 90° angle and the two lines mean parallel mean the are perfectly straight to each other and never hit each other, by looking at you graph I would say b and c are correct while a and d are not

Which gases are needed for animal and plant respiration? Select two options. FAST ITS TIMED
oxygen
nitrogen
carbon dioxide
neon
carbon

Answers

Answer:

It oxygen. hope this'll help. All the best.

Oxygen and carbon dioxide

Write and solve an inequality that represents the values of x, in feet.

The perimeter is less than 16 feet.

Answers

Answer:

x < 16 ft

Step-by-step explanation:

Perimeter = x

If it is less than 16, the equation is:

x < 16

-Chetan K

a steel factory manufactures and sells steel beams

Answers

Answer:

That is very nice. I like steel factory's that manufacture and sell steel beams, they are my favorite!! :]

The question is bland...

And honestly what even is the question?

Step-by-step explanation:

I'll help but explain the question further

Compare the two expressions using an inequality symbol.PLSSSSS HELP 100 PTS


8×(−2)−(−4)2□ 36÷9+2×5

8

×

(

-

2

)

-

(

-

4

)




36

÷

9

+

2

×

5

Question 2 options:


=



>

Answers

Answer:

<

Step-by-step explanation:

8x-2 - -4x2< 4+10

-16+8<4+10

-8<14

9514 1404 393

Answer:

  8×(−2)−(−4)^2 < 36÷9+2×5

Step-by-step explanation:

The left side expression evaluates as ...

  8×(−2)−(−4)^2

  = 8×(−2) − 16

  = -16 -16

  = -32

__

The right side expression evaluates as ...

  36÷9+2×5

  = 4 + 10

  = 14

__

It should be no mystery that any negative number is less than any positive number:

  -32 < 14

  8×(−2)−(−4)^2 < 36÷9+2×5 . . . . . . . . "less than" symbol is required

5 of 12
© Work out the percentage change when a price of £10 is increased to £12.
1
Support companies
Hegarty Maus Privacy NOUCE
hegartymaths

Answers

Percent change = (New-Old)/Old x 100%
(12-10)/10 x 100% = 20%
ANSWER: 20% change (increase)

Term

Coef

SE Coef

T-value

P-Value

Constant

10834

9716

1.12

0.274

Wins

235

119

1.98

0.058

S - 7,377

R

sq - 12.29%

Adj R sq -9.16%

The scatterplot above shows the number of wins and the attendance per game for 30 baseball teams in 2017.

Also shown are the least-squares regression line and computer output.

a) Using the information above, what is the equation of the least-squares regression line?

b) What is the value of the correlation coefficient for the sample?

c) Interpret the slope of the least-squares regression line in context.

Answers

The computer regression output includes the R-squared values, and adjusted R-squared values as well as other important values

a) The equation of the least-squares regression line is [tex]\underline {\hat y = 235 \cdot x + 10835}[/tex]

b) The correlation coefficient for the sample is approximately 0.351

c) The slope gives the increase in the attendance per increase in wins

Reasons:

a) From the computer regression output, we have;

The y-intercept and the slope are given in the Coef column

The y-intercept = 10835

The slope = 235

The equation of the least-squares regression line is therefore

[tex]\underline {\hat y = 235 \cdot x + 10835}[/tex]

b) The square of the correlation coefficient, is given in the table as R-sq = 12.29% = 0.1229

Therefore, the correlation coefficient, r = √(0.1229) ≈ 0.351

The correlation coefficient for the sample, r ≈ 0.351

c) The slope of the least squares regression line indicates that as the number of attending increases by 235 for each increase in wins

Learn more here:

https://brainly.com/question/2456202

What is the coupon rate and maturity date for this bond ?

Answers

Answer:

I don't know the answer! this is hard

Step-by-step explanation:

Answer:

need help

Step-by-step explanation:

Write the value of
[tex]1 - 2 \cos {}^{2} c[/tex]


Answers

Step-by-step explanation:

1-2cos²c.

> (cos²c+sin²c)-2cos²c. (cos²c+sin²c=1)

> cos²c+sin²c-2cos²c

> sin²c-cos²c.

is your correct answer.

hope this helps you.

Line / is a straight line. What is the measure of ZX?
X°60°

Answers

Answer:

100

A line segment is 180 and if one side of the line is 80 then the other half has to be 100

Step-by-step explanation:

what is the sum of the prime numbers of 420 do not repeat any prime factors A 15 B 16 C.17 D. 18 E. 19

Answers

Answer:

C)

Step-by-step explanation:

Prime factorization of 420 = 2 × 2 × 3 × 5 × 7 = 22 × 3 × 5 × 7.

If you take...

2 + 2 + 3 + 5 + 7...

You would get 17.

Hope this helps! :) Good Luck!

-kiniwih426

need help pwease...

:D

Answers

Answer: 3/15 - 1/15 = 4/15

Step-by-step explanation: (I'm not 100% sure this is correct lol)

Answer:

3/5 - 1/3 = 9/15 - 5/15 =4/15

Step-by-step explanation:

3/5 - 1/3

times the bottom two by eachother so they become 3/15 and 1/15

but since you times the bottome you have to times the top so it becomes

9/15 - 5/15 = 4/15

Two opposite angles of a parallelogram are always

Answers

Answer:

Two opposite angles of a parallelogram are always equal.

PLEASE HELP QUICK :) multiple choice.
Which of the following functions has a factor of x + 9 ?
A: f (x) = x^3 - 8x^2 - 11x + 18
B: f (x) = x^3 + 10x^2 + 7x - 27
C: f (x) x^3 + 10x^2 + 7x - 18
D: f (x) = x^3 - 8x^2 - 11x + 27

Answers

Answer:

C. f(x) = x³ + 10x² + 7x - 18

Step-by-step explanation:

If the function has a factor of x + 9, then the function will have a zero output at x = -9

Lets verify:

A. f(-9) = (-9)³ - 8*(-9)² - 11*(-9) + 18 = -1260, NoB. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 27 =  -9, NoC. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 18 = 0, YesD. f(-9) = (-9)³ - 8*(-9)² + 11*(-9) + 27 = -1449, No

IT'S HOMEWORK WHOEVER GIVES ME A GOOD ANSWER I WILL MAKE BRAINLIST. For spirit week at the local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear their school colors. what is the ratio? write and solve a proportion with ration language.

Answers

Answer:

1200:300

4:1 is the final ratio

Help me plzzzzzzzzzzzz

Answers

Answer:

D. x = 5 or x = 10

Step-by-step explanation:

Can someone plsss help ? thank you :)

Answers

Answer:

area of trapezium =1/2(a+b)*h

=1/2(7+10.4)*6.7

=1/2(17.4)*6.7

=1/2(116.58)

=116.58/2

=58.29 square cm

Answer:

58.29 cm²

Step-by-step explanation:

Hi there!

Area of a trapezoid: [tex]A=\displaystyle \frac{a+b}{2} *h[/tex]

We're given that a = 7, b = 10.4 and h = 6.7. Plug these into the above:

[tex]A=\displaystyle \frac{7+10.4}{2} *6.7\\\\A=\displaystyle \frac{17.4}{2} *6.7\\A=8.7*6.7\\A=58.29[/tex]

Therefore, the area of the trapezoid is 58.29 cm².

I hope this helps!

Find the slope of the line that passes through (20, -37) and (68, -56).

Answers

i believe it would be -19/48

1. A triangle is rotated 35° about the origin. What is true about the relationship be pre-image?

Answers

Answer:

the triangles are equivalent

Step-by-step explanation:

that's it

A? B? C? or D? help meeeeee​

Answers

Answer:

b) -5/9

Step-by-step explanation:

yeah-ya.... right?

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