The ages of three sisters are consecutive integers with the sum of 180. How old are each of the brothers?

Write and solve and equation the above situation describes.

Answers

Answer 1

Answer:

Step-by-step explanation:

The age of three sisters are consecutive integers meaning they are only one year apart.

E.g. sister 1 = x yrs old

Sister 2 = (x + 1) yrs old

Sister 3 = (x + 2) yrs old

They have a sum of 180 meaning if you add all 3 of their ages, you get a total of 180.

Sister 1 + sister 2 + sister 3 = 180

x + (x + 1) + (x + 2) = 180

So gather the like terms and you get:

3x + 3 = 180

Subtract 3 from both sides

3x = 180-3 = 177

Solve for x by dividing both sides by 3.

x = 177/3 = 59

So now we know what x is so you just plug it back into the equations at the beginning for the ages of each of the sisters.

Sister 1 = x = 59

Sister 2 = x + 1 = 59 + 1 = 60

Sister 3 = x + 2 = 59 + 2 = 61


Related Questions

Please answer ASAP!!!!!!!

Answers

Answer:

step 3

Step-by-step explanation:

4*7=28

Not 26


Need help ASAP, tysm

Answers

Answer:

12a-5

Step-by-step explanation:

add like terms

you combine like terms.

+ 6a
+ 5a
+ 2a
- 1a
___

12a.

there is a negative 5 left, so the standard form is:

12a - 5.

hope this helps! ❤️

ASAP!!! BRAINLIEST!!
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!

Answers

Answer:

The x column goes  by +2

The y column goes by +9

So, to find n - you should add 5+9, which gives 14.

n = 14

Nancy has a bank account that has a balance of $320 and allows for a maximum of 6 deposits per month. She has decided that each time she deposits money into her account, she will deposit $20. If Nancy makes x deposits into her bank account in a month, her account balance can be represented by the function . PLZ HELPP SO CONFUSED

Answers

Answer: 320,340,360,380,400,420,440

Long division of 236 divided by 14

Answers

Answer:

= 16 R 12

= 16 12/14

= 16 6/7

236 divided by 14 equals

16 with a remainder of 12

Step-by-step explanation:

236 divided by 14 equals 16 with a remainder of 8.

To perform long division of 236 divided by 14, we follow these steps:

    14 ) 236 ( 16

      1

    _____

     14

    222

      1

    _____

      14

       8

Divide the first digit of the dividend (2) by the divisor (14). Since 2 is smaller than 14, we bring down the next digit (3) to make a two-digit number.

Divide the two-digit number (23) by the divisor (14). The quotient is 1, and the remainder is 9.

Bring down the next digit (6) to the remainder (9) to form 96.

Divide 96 by 14. The quotient is 6, and the remainder is 12.

Step 5: Bring down the next digit (0) to the remainder (12) to form 120.

Divide 120 by 14. The quotient is 8, and the remainder is 8.

Since there is no more digit to bring down, the division process is complete.

Therefore, 236 divided by 14 equals 16 with a remainder of 8.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ6

Which expression is equivalent to h + 7 + 2h + 8?
3h + 15
8h + 10
18
18h

Answers

The answer would be 3H + 15

35/7 Be sure to reduce to lowest terms.

Answers

Answer:

5

Step-by-step explanation:

35/7 is equal to 5

What is the quotient of −105 and −15?

6

7

8

I don't know.

Answers

Answer:

7

Step-by-step explanation:

-105 ÷ -15 = [tex]\frac{-105}{-15}[/tex]  [tex]\frac{-105}{-15} = \frac{105}{15}[/tex]  105 ÷ 15 = 7

I hope this helps!

The quotient of −105 and −15 is 7. Therefore, option B is the correct answer.

We need to find the quotient of −105 and −15.

What is the quotient?

The number results from the division of one number by another.

Now, −105÷(-15)=7

Therefore, option B is the correct answer.

To learn more about the quotient visit:

https://brainly.com/question/27796160.

#SPJ6

Your cell phone plan costs ​$ 24.99 per month plus ​$ 0.16 for each text message you send or receive. You have at most ​$ 32 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?

Answers

Answer:

43

Step-by-step explanation:

The distribution of speeds along a certain stretch of highway has an mean of 76 mph
and a standard deviation of 7 mph.
What percentage of cars would be traveling slower than 55 mph?

Answers

Answer:

0.13%

Step-by-step explanation:

Given that :

Mean = 76mph

Standard deviation = 7 mph

Percentage of cars traveling slower than 55mph

Obtain the Zscore :

X = 55mph

Zscore = (X - mean) / standard deviation

Zscore = (55 - 76) / 7

Zscore = - 3

P(Z < - 3)

From the z table :

P(Z < - 3) = 0.0013

Hence, percentage of cars traveling slower than 55mph is (0.0013 * 100%) = 0.13%


1. Johnny spends of his salary on food and rent. If his salary is AED. 4,500
how much amount he spends on food and rent?

Answers

Answer:

AED. 1800

Step-by-step explanation:

Amount spend on food and rent = (2/5) of 4500    

                                                      [tex]=\frac{2}{5}*4500\\\\=2*900\\= 1800[/tex]

Estimate the product: 4.9 x 82

Answers

It may be 401.8? But I’m not entirely sure

Which line is parallel to the line given below?
y=−52x−7

A. 5x−2y=85
B. 2x+5y=−52
C. 5x+2y=45
D. 2x−5y=30

Answers

Answer:

B

Step-by-step explanation:

2x+5y=-52...............

The answer would be B 2x+5y=-52

A tree is inches 1296 tall. How many feet is this?
First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.

Answers

Answer:

The tree is 108 feet tall.

Step-by-step explanation:

each foot has 12 inches in it. Therefore, your equation would be : 1296/12. The answer is 108

Can someone please answer number 11 for me?

Answers

Answer:

  a) x = 9

  b) m∠BCD = 33°

  c) use the fact that corresponding angles are congruent

Step-by-step explanation:

a) Corresponding angle have the same measure, so ...

  3x +6 = x +24

  2x = 18 . . . . . . . . . . subtract (x+6) from both sides

  x = 9 . . . . . . . . . . . . divide by 2

__

b) 3x+6 = 3(9) +6 = 27 +6 = 33 = m∠BCD

__

c) Use the relationship between corresponding angles. Solve the resulting equation.

Translate into an algebraic equation and solve.
Twelve more than half a number is 10.

Answers

Answer:

1/2×+12=10, x=-4

Step-by-step explanation:

Just trust me on this

Answer:

1/2x+12=10

x= -4

Step-by-step explanation:

First subtract 12 from both sides and get 1/2x= -2

Then divide both sides by 1/2

So 2/1 (you flip the fraction to "divide" it which is just multiplying because it is easier) 2/1 times -2 is -4

PLEASE NEED ASAP!!!!!!!!!!
What is the measure of the supplement of each angle?
117, 165, and 90 degrees

Answers

Answer:

63, 15, 90

Step-by-step explanation:

That should be 54 degrees

Identifying the Number of Solutions
Identify whether each equation has one solution, Infinitely many solutions, or no solution
2(x - 5) 26-)
One Solution
Infinitely Many Solutions
No Solution
5(x4) 3-6)
16x-2) 166+2)
x + 26-5) = 3x - 2) - 4

Answers

Answer:

2(x - 5) = 2(x - 5) have infinitely

5(x + 4) = 5(x-6) has no salution

5(x + 4) = 3(x-6) has one salution

4(x - 2) = 4(x + 2) has no salution

x + 2(x - 5) = 3(x - 2) - 4 has infinitely

Answer: One solution- 5(x+4)=3(x-6)

Infinitely many solutions- 2(x-5)=2(x-5)

Infinitely many solutions-  X+2(x-5)=3(x-2)-4

No solution- 5(x+4)=5(x-6)

No solution- 4(x-2)=4(x+2)

           

Step-by-step explanation: I got it correct on Edge, Hope this helps :D

Please help I don’t understand ??????

Answers

Answer:

5.5

22/4=5.5

5.5 Feet or inches

Answer:

each section will be 5.5ft long. 22/4=5.5

Step-by-step explanation:

The ordered pairs below represent the function t(x). What is the value of t(1)

Answers

Answer:

t(1) = -3

Step-by-step explanation:

Functions

We have the function t(x) and some ordered pairs that represent the function:

{(-2,3),(-1,8),(0,-5),(1,-3),(2,-8)}

The ordered pairs have the form ( x , t(x) ). Taking a look at the list of ordered pairs, we find the pair (1,-3), which means

t(1) = -3

Solve the Absolute Value Equation below.
8lx+7l - 3 = 5

Answers

The answer is X= -6 , -8 I believe

|3O+(-17)| I REALLY NEED TO KNOW PLZZZZZ

Answers

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

➷ [tex]30 + 17[/tex]

➷ [tex]30 + -17[/tex]

➷ [tex]= 13[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

The correct answer is 13

please help worth 30 points!!!

brandon sold at least 168 tickets for a carnival. He sold 4 more adult tickets than children tickets.

What is the minimum amount of children's tickets Brandon could have sold?​

Answers

Answer: 80

Step 1: Find [tex]\frac{1}{2}[/tex] of 168.

168 ÷ 2 = 84

Step 2: Subtract 4, since Brandon sold 4 more adult tickets.

84 - 4 = 80.

Answer = 80

Question 1 of 10
f(x) = 3x + 4 + 2
g(x) = 4
Find (f + g)(x).

Answers

3x+10

you can use a math cite and it shows the questions and explanations

19 + x/2 = 4
How do I do this

Answers

Answer: x = -30

Steps:  19 + x/2 = 4

Subtract 19 from both sides: 19 + x/2 - 19 = 4 - 19

Simplify: x/2 = 15

Multiply both sides by two: x/2 (2) = -15 (2)

Simplify: x = -30

How do I do x/3-x/9=6 Pls solve with steps

Answers

Answer:

27

Step-by-step explanation:

Hello,

do you agree that

[tex]\dfrac{1}{3}-\dfrac{1}{9}=\dfrac{3-1}{9}=\dfrac{2}{9}[/tex]    ?

Then,

we can simplify as below and multiply by 9 both sides and divide by 2

[tex]\dfrac{x}{3}-\dfrac{x}{9}=\dfrac{2x}{9}=6\\\\<=> 2x = 54\\\\<=> x = 54/2= 27[/tex]

Thanks

ABCD is a parallelogram.

Answers

That’s correct. Do you have a question or us?

Plz help me out here

Answers

Answer:

1. 3cm

2. 6m

Step-by-step explanation:

If all angles are right angles, it means that both lengths on the right side add up to the length on the left side.

For the first one, the length on the left is 7cm, and there are two lengths on the right: 4cm and an unknown we can call 'x'.

We know that both of the right lengths add to the left length so we can represent this as so:

4+x=7

To solve for x we can minus 4 from both sides:

x+4-4 = 7-4

x = 7 -4

x = 3cm

We can solve the second one in a similar fashion:

x + 6 = 12

x + 6 - 6 = 12 - 6

x = 12 - 6

x = 6m

Hope this helped!

what is the length of RS
Answer needed ASAP

Answers

Answer:

For sure 34

Step-by-step explanation:

the red lines are the same length to each letter just add those.

what is the volume of the pyramid (base: 7in. , height: 9in. , length 8in.)

Answers

Answer:

504

Step-by-step explanation:

7*8*9=504

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