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


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Step-by-step explanation:

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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:

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

Answers

Answer:

3.785 litres

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!!

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:

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**
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Answers

Answer:

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Step-by-step explanation:

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Answers

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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

Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd

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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]

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

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d = -40/-8

d = 5

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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:

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3) Cost of o balloons = 0

4) It represents a proportional relation ship.

Reason

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

Check out the image below the explanation.

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Enter your answer as simplified fractions in the boxes.

Answers

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Step-by-step explanation:

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011
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Answer:

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Step-by-step explanation:

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Answer:

Nn seem xjjxjjxncjicucdjxklzkjcjfnfklcocjcnndjcicjcnmdjdjxjxjcjcjckckckkckcmcjdjcjceujesjkxmcmckkckckckckckck

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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

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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
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7) these also sum to 180
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8) These angles add to 180 as well
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Hi please resend the question so i can help u!

Step-by-step explanation:

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