Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister’s age.

Answers

Answer 1

Answer:

youngest   17  

middle  19

oldest    21

Step-by-step explanation:

Three sisters have ages that are consecutive odd integers

youngest = x

middle = x + 2

oldest = x + 4

--------------------

The sum of the age of the youngest

x

and three times the age of the oldest

+ 3(x + 4)

is five less than five times the middle sister’s age

= 5(x + 2) - 5

-----------------------

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

Distribute

x + 3x + 12 = 5x + 10 - 5

Combine like terms

4x + 12 = 5x - 5

Subtract 4x from both sides

12 = x - 5

Add 5 to both sides

17 = x

youngest   x = 17  

middle     x + 2 = 19

oldest     x + 4 = 21


Related Questions

Solve the math problem

Only solve 3 and 4

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Answer:

nothing is being showed

Step-by-step explanation:

Answer:

Step-by-step explanation:

3) Cost of o balloons = 0

4) It represents a proportional relation ship.

Reason

[tex]\dfrac{25.50}{3}=\dfrac{42.50}{5}=\dfrac{59.50}{7}=\dfrac{76.50}{9}=8.5[/tex]

how did you get m in the equation

Answers

to get m in an equation u find it in y=mx+b

HELP ASAP FOR BRAINLIST CROWN
Which function has the greater y-intercept? What is that value?

-10


4


10


3


16


Function A; 1.5


Function B; 30


Function B; 23


Function B; 3


8


2


Function A; 1


Function B; 1


Function A; 9

Answers

Answer:

function A;1

function B:30

Simplify the linear expression.

−2/3a+1/8−1/6a−3/4

Enter your answer as simplified fractions in the boxes.

Answers

Answer:

-5/6a - 5/8

Step-by-step explanation:

i took the k12 quiz

Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd

Answers

Answer:

whats

Step-by-step explanation:

[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]

recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.​

Answers

Answer:

5 cups of flour need to make two cakes

la solucion de un triangulo rectangulo tiene uno de sus lados de 5cm otro de sus lados 7cm y el lado de abajo de 4cm

Answers

Answer:

thx sa points

Step-by-step explanation:

The dimensions of a right triangle are shown in the diagram.

What is the length of the missing side, to the nearest tenth of a centimeter?

Answers

Answer:

18.4 cm

Step-by-step explanation:

For this problem, you would use Pythagorean Theorem or a^2+b^2=c^2. Don't forget that the c in the formula is always your hypotenuse or the longest side of the triangle. The a and the b are always the legs of the triangle. (It doesn't matter which leg is which letter) The hypotenuse is also always across from the 90 degree angle. Picture the 90 degree angle as an arrow pointing to the hypotenuse.  In this case, the hypotenuse (or c) is 20.7 cm. Now all you have to do is plug and chug! I hope this helps you and thanks for asking your question!!

Elena sold ice cream at the fair. One day she sold one-third of the gallons of vanilla ice cream that she had, and then gave away 3 more gallons of vanilla ice cream. At the end of the day, she had one gallon of vanilla ice cream left. Write an equation to find how many gallons of vanilla ice cream Elena had at the beginning of the day.

Answers

Answer:

Nn seem xjjxjjxncjicucdjxklzkjcjfnfklcocjcnndjcicjcnmdjdjxjxjcjcjckckckkckcmcjdjcjceujesjkxmcmckkckckckckckck

Step-by-step explanation:

Fand the most part in 2? the best. I think you are awesome. edit! edit on your post? edit! I cut off a bit of payer

which is lower:-500 or-1000 feet?

Answers

Answer:

-1000

Step-by-step explanation:

if you look on the number line

Answer:

-1000 feet

Step-by-step explanation:

-1000 feet is lower than -500 since both numbers are negative and -500 is close to 0 than -1000

The 5th term of an arithmetic sequence is 30, while the 13th term is 70

Answers

Answer:

a = 10

d = 5

Step-by-step explanation:

[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]

a + 4d = 30 ------------------(I)

[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]

a + 12d =70 -------------(II)

Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d

(I)         a +   4d = 30

(II)*(-1)   -a - 12d = -70   {Now add}

               - 8d   =  - 40

Divide both sides by (-8)

d = -40/-8

d = 5

Plugin d = 5 in equation (I)

a + 4*5 = 30

a + 20 = 30

a = 30 - 20

a = 10

A faucet can fill a bathtub in 6 minutes. the drain can empty the tub in 10 minutes. If both the faucets and the drain are open at the same time, this situation is represented by this expression, where t is the number of minutes it will take to completely fill the bathtub.

[tex] \frac{t}{6} - \frac{t}{10} [/tex]
which expression can also represent this situation?

Answers

Answer:

4t/15

Step-by-step explanation:

Please trust me

can someone factorize 7x+xz+7z+z2 for me?

Answers

Answer:

Step-by-step explanation:

in which way do you want it factorized?

Which is equivalent to 104?
**
Can I please get an answer will give brainliest

Answers

Answer:

number 2 is right

Step-by-step explanation:

the second one

1.
What is the sum of
4 |
22 (1 point)
+
+
3
011
o

IN IN NII am |
0
0 0

Answers

Answer:

B. One whole number one over two. 1½

there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds​

Answers

Answer:

Step-by-step explanation:

The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.

What is the best estimate for the volume of a jug of milk?

Answers

Answer:

3.785 litres

Step-by-step explanation:

Liam invests $3,670 in a savings account at his local bank which gives 1.9% simple annual interest. He also invests $2,040 in an online savings account which gives 5.5% simple annual interest. After five years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar?

Answers

Step-by-step explanation:

Given:

Investment P₁ = $3670Investment P₂ = $2040Rate of interest r₁ = 1.9% SIRate of interest r₂ = 5.5% SITime t = 5 years

Find amount of interest in both investments:

I₁ = P₁r₁t = $3670*(1.9/100)*5 = $348.65I₂ = P₂r₂t = $2040*(5.5/100)*5 = $561.00

As we see the online savings account earns more interest and the difference is:

$561.00 - $348.65 = $212.35 ≈ $212

What equation is graphed in this figure?
A: y−3=32(x+1)

B: y+1=−23(x−3)

C: y−4=−23(x+2)

D: y+2=−32(x−2)

Answers

The answer is B!! Have a good day

graph the line y=3(x+3)+4

Answers

Answer:

Check out the image below the explanation.

Step-by-step explanation:

1. First, let's simplify the equation.

[tex]y = 3(x) + 3(3) + 4[/tex] [tex]y = 3x + 9 + 4[/tex] [tex]y = 3x + 13[/tex]

2. Since the equation is y = 3x + 13:

The y-intercept is 13.For every 1 unit we go to the right, we go 3 units up.

Now, here's the graph!

Rachel has a $23,000 six year loan with APR of 7.25%

Answers

Answer:6,000 is the answer

Step-by-step explanation:

3. Consider the iterative rules you wrote in Problem 2. (a) Explain why the rules are functions. (b) Your friend says that because the rules are functions, they can be graphed and must have y-intercepts. How would you respond to your friend’s comment? (c) Your friend uses your rules to determine the outputs when the inputs are 18.5. Explain why her outputs are meaningless in this situation. What would you tell her about the inputs she can use? Answer:

Answers

The inputs which are required mention below in descriptive.

What is Function?

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.

(a) The rules are functions because each input has only one output. You can test this out, it's true.

(b) So we did have to find the "y-intercept" earlier. But you have to look at the domain. There won't be any amount paid on Week 0, payment starts at Week 1. So you would have to respond that yes, they can be graphed, but there's no y-intercept; the graph starts at week 1. Additionally, there are only data points at the integer values of x. Look at part c.

(c) The outputs are meaningless because you're counting the time by weeks. There won't be any amount paid in the middle of the week, so she can only use integer inputs.

Learn more about function from:

https://brainly.com/question/12431044

#SPJ1

-6 a solution to x<-8 yes or no

Answers

Answer:

No its not

Step-by-step explanation:

-6 is greater then -8 and in this case it’s not less then -8

Poppy gives one half of a cake to her big brother and the other half to her three friends who share it equally. What fraction of the cake does each friend get?

Please help!! ​

Answers

Answer:

1/12

Step-by-step explanation:

if you help me you get brainly

Answers

Answer:

3 ( 917 ) = 3 ( 900 ) + 3 ( 10 ) + 3 ( 7 )

5 ( 209 ) = 5 ( 200 ) + 5 ( 0 ) + 5 ( 9 )

6 ( 347 ) = 6 ( 300 ) + 6 ( 40 ) + 6 ( 7 )

9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )

11 ( 142 ) = 11 ( 100 ) + 11 ( 40 ) + 11 ( 2 )

Step-by-step explanation:

Answer:

Hint(look at the first number in each part and math it with the first number in each answer.) For example, 3(937), the distributive property for that one would be 3(900) + 3(30) + 3(7). Then for 5(209) it would be 5(200) + 5(0) + 5(9), then for 6(342), it would be 6(300) + 6(40) + 6(2). Then for 9(821), it would be 9(800) + 9(20) + 9(1), and for the last one it would be 11(143), it would be 11(140) + 11(40) + 11(3). You basically distribute each amount into different place values.

Step-by-step explanation:

Hope it helps. Mark brainiest if it does!

Can some one help quickly. Please show work

Answers

Answer:    the answer is  2

Step-by-step explanation:

Help pls I don’t understand this shi

Answers

Answer:

It's kind-of blurry, can you copy-paste the questions?

Step-by-step explanation:

Rewrite the equation below so that it does not have fractions.

3/4x-5=3/8

Do not use decimals in your answer.

Answers

Answer:

x=  

6

43

 

Step-by-step explanation:

pasos  

4

3

x−5=  

8

3

Agrega 5 a ambos lados.

4

3

x=  

8

3

+5

Convertir 5 a la fracción  

8

40

.

4

3

x=  

8

3

+  

8

40

 

Como  

8

3

 y  

8

40

 tienen el mismo denominador, sume sus numeradores para sumarlos.

4

3

x=  

8

3+40

 

Suma 3 y 40 para obtener 43.

4

3

x=  

8

43

 

Multiplica los dos lados por  

3

4

, el recíproco de  

4

3

.

x=  

8

43

×(  

3

4

)

Multiplica  

8

43

 por  

3

4

 (para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

x=  

8×3

43×4

 

Realiza las multiplicaciones en la fracción  

8×3

43×4

.

x=  

24

172

 

Reduzca la fracción  

24

172

 a su mínima expresión extrayendo y anulando 4.

x=  

6

43

 

6x=43 should be the answer

Wendy was riding her bike along a trail and travelled 63 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour. What was Wendy's unit rate for her bike ride? (Miles per Hour) Who was riding faster?

Answers

Wendy was going faster at 10.5 mph.

To find mph, you divide the distance by the time. 63 divided by 6 is 10.5, which is faster than 10.1

Help? I need question 1-8 answers .

Answers

1) These angles are actually equal so set the equation to…
58=5x-2
60=5x
X=12


2) These angles are also equal to each other
16x+22=134
16x=112
X=7


3) These angles are equal too
7x-1=125
7x=126
X=18


4) These angles are supplementary so they add to 180 degrees
9x+2+133=180
9x+135=180
9x=45
X=5


5) These angles are equal as well
8x-77=3x+38
5x-77=38
5x=115
X=23


6) These angles are also equal
11x-47=6x-2
5x-47=-2
5x=45
X=9


7) these also sum to 180
13x-21+5x+75=180
18x+54=180
18x=126
X=7


8) These angles add to 180 as well
9x-33+5x+3=180
14x-30=180
14x=210
X=15

In conclusion, just know how to solve simple one variable equation and know which angles are congruent and supplementary and this will be easy.

Answer:

Hi please resend the question so i can help u!

Step-by-step explanation:

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