Kylie is 5 years older than Ellie and triple Jon's age. If the sum of their ages is 65 , how old is Jon?
PLS HELP! 20 POINT FOR THE RIGHT ANSWER!

Answers

Answer 1

Answer:

Jon is 10 years old

Step-by-step explanation:

This is solved using linear equations. We use the information given to make equations.

Let's use K for Kylie, E for Ellie, and J for Jon:

K = E + 5

K = J x 3

Now, we rearrange these equations so that K is on the right side:

E = K - 5

J = K/3

Now, with only one variable, we make a new equation:

K + (K - 5) +  (K/3) = 65

Simplify:

2K - 5 + K/3 = 65

Isolate k:

[tex]\frac{7k}{3}-15=65(3) = 195\\7k=196+15=210\\k = \frac{210}{7}=30[/tex]

Now we can plug K in to find Jon's age:

J = K/3

J = 30/3

J = 10

Answer 2

If Kylie is 5 years older than Ellie and triple Jon's age. If the sum of their ages is 65 then Jon is 12 years old.

Let's assume Jon's age is "J" years.

According to the given information:

1. Kylie is 5 years older than Ellie, so Ellie's age is "J + 5" years.

2. Kylie's age is triple Jon's age, so Kylie's age is "3J" years.

The sum of their ages is 65, so we can set up the equation:

J + (J + 5) + 3J = 65

Now, combine like terms:

5J + 5 = 65

Next, isolate "5J" by subtracting 5 from both sides of the equation:

5J = 65 - 5

5J = 60

Now, divide both sides by 5 to find the value of "J":

J = 60 / 5

J = 12

So, Jon is 12 years old.

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Related Questions

What are the coordinates of point A? (8, –6) (–6, 8) (–5, 7) (7, –5) giving 100 point

Answers

Answer:(7,-5)

From a x axis point is 7

From a y axis point is -5

Thus coordinates are (7,-5) because in any point coordinates are always in the form (x,y).

Hope this Helps! :)

Answer:

D. (7, -5)

Step-by-step explanation:

A coordinate is a point on a graph. A coordinate is written as (x, y), where x represents the x-value and y represents the y-value.The x-value represents the number of units left or right from the origin (0, 0), and it becomes negative as it moves left and positive as it moves right.The y-value represents the number of units up or down from the origin (0, 0), and it becomes negative as it goes down and positive as it goes up.For example, the coordinates (-4,8) indicate that the x-value moves four units to the left and the y-value moves eight units up.

We are asked to find the coordinates of point A:

The x-value is positive 7, indicating that the point moved seven units to the right of the origin.The y-value is negative 5, indicating that the point dropped five units from the origin.Our coordinates would be: (7, -5)

Learn more about graphing coordinates here:

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Every day, the Sandoval Family Restaurant serves 5/6 of a bottle of soda to their customers. How many days will 7 1/2 bottles of soda last?

Answers

Answer:

9 days

Step-by-step explanation:

1 day: 5/6        2 days:  10/6       3 days:   15/6        4 days:  20/6   5  days: 25/6

6 days:  30/6        7 days:  35/6         8 days:  40/6       9 days: 45/6

If you divide 45 and 6 by 3 you get 15/2.  If you put 15/2 into a mixed number you would get 7 1/2.  So 9 days would be your answer.

Answer:

7 1/2 bottles will last 9 days

Step-by-step explanation:

To answer this, divide '7 1/2 bottles' by '5/6 bottle per day:"

 7 1/2 bottles

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

 5/6 bottle/day

The unit "bottle"/"bottles" cancel, and so we are left with

 7 1/2 day

-------------------  and this is equivalent to   15 days/2  divided by 5/6 OR

    5/6

 15 days/2 times 6/5:

15(6)

--------- days = 18/2 days = 9 days (answer)

2(5)

7 1/2 bottles will last 9 days.

heeelellllllllppppppppp

Answers

i think the answer would of been c!
answer: 2/5
explanation: because

HELPPP PLEASE OR I WONT BE ABLE TO PLAY ANY GAMESSS
What is the mean of the data set shown below?

{14, 15, 18, 20, 25}

A. 18.4
B. 18.2
C. 18
D. 11

Will give brainliest to the first who has a good answer!

Answers

Answer:

A. 18.4

Step-by-step explanation:

The mean is the average. In order to find the answer you must add all the values of the variables and divide them by the number of variables. Simply just add 14, 15, 18, 20, and 25, and then divide it by 5 (the number of variables). Then you get your answer.

14+15+18+20+25=92

92/5=18.4

A. 18.4

Answer:

A. 18.4

Step-by-step explanation:

Mean

[tex] = \frac{14 + 15 + 18 + 20 + 25}{5} \\ \\ = \frac{92}{5} \\ \\ = 18.4[/tex]

Hope it helps

One package of popcorn makes 1000 cubic inches of popcorn. The movie theatre sells the popcorn in cone shaped containers. The containers have a radius of 3 inches and a height of 8 inches. How many containers can the movie theatre fill from one package of popcorn?

Answers

Answer:

13.3, but you can't sell 0.3 so round to the nearest whole number, which is 13.

Step-by-step explanation:

Find the volume of the cone package.

[tex]V = \frac{\pi r^{2}h }{3} \\V=\frac{3.14(3^{2})(8) }{3} \\V= \frac{25.12(9)}{3} \\V = \frac{226.08}{3} \\V=75.36[/tex]

Now divide the total cubic inches, 1000, by the volume of one cone package.

1000/75.36 = 13.3

In which data set is the mean equal to the median?

Answers

i think it’s the data set which is symmetric ( meaning the distribution is going down equally on each side of the peak)
The most Symmetric data shape. Its is similar or exactly the same, due to the mirror of the same values and the mirror for the mode of those values on each side. Aka, the values and the amount of times they are present is the same on both sides, make the median and mean similar or the same. Think of a perfect mountain

10 points and brainly hurry please.

Answers

it's 3 calories per grape

57/19= 3

Answer: 3 calories per grape

Step-by-step explanation:

ur welcome

can u help meeeeeeee pleaseee

Answers

Answer:

A)1 is 3    B) just but the number from A

2 is 5

3 is 6

4 is 3

Step-by-step explanation:

Listen to him he will help you ^^

If my current grade is a 65.50 percent and I get an 98 percent on a 60 point test what will be my new percentage

Answers

Answer:

81.75%

Step-by-step explanation:

98 percent on a 60 point test is 59/60

65.50+98/2 = 81.75%

Answer- 81.75%
Explanation-
59/60
98/2 + 65.5= 81.75

In 15 of the last 20 times, Ali went bowling, he averaged better than 180. What is the probability that he will average better than 180 next time he bowls?
A. 0.25
B. 0.50
C. 0.75
D. 1.00

Answers

Answer:

C. 0.75

or 75%

Step-by-step explanation:

15/20 = 0.75

75%

Answer:

C) 0.75

Step-by-step explanation:

15 of the last 20 times = 15/20

15/20 = 0.75

i need some help with this!!

Answers

Answer:

C, √59

Step-by-step explanation:

Simplify √52

= 7.21110255093

It would be c but or v59

Pattern A has a starting term of 0 and the rule add 4 Pattern B had the starting term of 0 and the rule subtract 8
For the two patterns:

a) list the first five terms of each pattern

b) graph ordered pairs from each pattern using blue for pattern A and orange for Pattern B

c) describe the relationship between corresponding terms of each pattern

d) explain why this relationship exists between the corresponding terms.

Answers

Answer:

a) pattern a: 4,8,12,16,20

   pattern b: -8,-16,-24,-32,-40

0,4, 8, 12, 16 are the five terms of pattern A and 0,-8, -16, -24, -32 are the five terms of pattern B and the relationship between both the patterns is linear.

What is Sequence?

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

For pattern A:

0, 0+4, 4+4=8, 8+4=12, and 12+4=16

I.e 0,4, 8, 12, 16 are the five terms of pattern A

For pattern B:

0, 0-8=-8, -8-8=-16, -16-8=-24, -24-8=-32

I.e 0,-8, -16, -24, -32 are the five terms of pattern B

The relationship between two patterns is linear

The relationship exist between two patterns because both sequences are arithmetic sequences

Hence, 0,4, 8, 12, 16 are the five terms of pattern A and 0,-8, -16, -24, -32 are the five terms of pattern B and the relationship between both the patterns is linear.

To learn more on Sequence click:

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Please help with this also

Answers

Answer:

A). 69 people ordered fries with their combo meal on Friday.

Step-by-step explanation:

1. Rewrite 80% as a decimal: 0.8

2. Find how many customers on Friday ordered combo meals:

115(0.8) = 92 people.

3. Of the given information, we know that 3/4 of those 92 who ordered the combo meal had fries.

This is shown by: 92*(3/4) = 69.
The answer is 69 or A

What is the distance around the circle?
314 feet

20 feet

31.4 feet

62.8 feet

Answers

Answer:

62.8 feet

Step-by-step explanation:

The distance around the circle is known as the circumference

We can find the circumference using the formula C = 2πr

Where r = radius

The radius is a line that goes from the center of the circle to any point on the circle.

Here, we are given that the radius is 10 feet

Plugging in the value of the radius into the circumference formula

Again we have C = 2πr

==> plug in r = 10

C = 2π(10)

==> multiply 10 and 2

C = 20π

==> multiply 20 and π (which has a value of about 3.14)

C = 62.8 ( rounded )

So the distance around the circle is about 62.8 feet.

Learn more about the circumference of a circle here : https://brainly.com/question/15886468

Answer:

62.8 feet

Step-by-step explanation:

We are given:

[tex]\text{Radius of circle} = \bold{10} \ \bold{feet}[/tex]

Definition of radius: The radius of the circle is the line that starts from the center point and ends at any point of the circle.

The formula that expresses the circumference of a circle is 2πr.               [Where "r" represents the radius of the circle]

Let's substitute the radius in the circumference formula and simplify it to determine the distance around the circle (circumference).

[tex]\implies \text{Circumference of circle} = 2\pi r[/tex]

[tex]\implies \text{Circumference of circle}= 2\pi (10)[/tex]                    [tex]\implies \text{Circumference of circle} = 20\pi[/tex]

Let us take π as 3.14. Then, we get:

[tex]\implies \text{Circumference of circle} = 20(3.14) = 2(31.4) = \boxed{62.8 \ \text{feet}}[/tex]

Therefore, the distance around the circle (circumference) is 62.8 feet.

Learn more about circumference of a circle: https://brainly.com/question/14966973

HELPPP!!!!! I AM GIVING BRAINLIST FOR CORRECT ANSWERS!!!!!!

A pyramid has a volume of 1,944 in.³ and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?

A: 4 in.
B: 12 in.
C: 24 in.
D: 36 in.

Answers

Answer:

The answer is 36 in

Step-by-step explanation:

hope this helped! :D

(pls give brainlest)

The answer is 36 inches I hope this help u get ur question correct

help I cant figure out how to do this type of problem

Answers

It’s going to be north in the east

Please help me with this I would give you 50 points.

Answers

Melanie has to pay $81.25

A box has the shape of a rectangular prism with height 31 cm. If the height is increased by 0.9 cm, by how much does the surface area of the box increase? 31 cm 12 cm 7.2 cm Use pencil and paper. Show your work. Then show a second way to solve the problem. Explain which way you like better and why. The surface area increases by cm2​

Answers

First size: SA1 = 2B + Ph, where B = area of the base of the figure, P = perimeter of the base and h = height

SA1 = 2(12*7,2) + (12+7,2)*31 = 172.8 + 595.2 = 768 cm^2

Second size: SA2 = 2B + ph2 (where h2 is the new height, 31.9 cm)
SA2 = 2(12*7,2) + (12+7,2)*31.9 = 785.28 cm^2

It increases (by rounding it down) by 17 cm^2.

ASAP am i correct?
which two transformations when both performed on rectangle 1 will show it is similar to rectangle 2

Answers

Answer:

Its A and C. Since you need a reflection then a dilation to result in that image.

Yes u are correct and yes everyone is 20-

please help me with this question​

Answers

Answer:

The answer is y=60/x

(I also had this question)

^^ Please answer it!

Answers

Answer: 5446cm^2

Reasoning: 2(47 x 37) + 2(35 x 12) + (47 x 24) = 5446
Answer would be 5446 cm squared

The following figures are similar. Find the value of x.

PLEASE HELP I CURRENTLY HAVE AN F BUT I WONT ANYMORE IF YOU HELP ME

(If you can help me with my Graphing Coordinations question please do!)

Answers

Answer:

x = 10

Step-by-step explanation:

Both obects are similar right. That means that they must have similar angles, similar sizes and similar scale factors.

For me by just looking at the figires I can conclude a similar scale factor which is 1.7. However we are going to calculate the scale factor.

First we must take notice that the triangle D'E'F' is an enlargement. So to find the scale factor we must the same sides of both triangle and divide the larger sid by the smaller side.

68 ÷ 40 = 1.7

Now that we have the scale factor (1.7) we can now find x.

The similer side D'F' = 17 and DF = x.

We are gonna use the scale factor to divide D'F' to find DF.

17 ÷ 1.7 = 10

Therefore x is 10

Which statement is correct?
A. 3<√15 <4
B. 4<√15<5
C. 5<√15 < 6
D. 6<√15 <7

Answers

Answer:

absolutely its (A.), since, √15=3

Answer:

A

Step-by-step explanation:

√15 is greater than 3 and less than 4 as it is 3.8

Yall please help me because I dont know how math or school works so please help answer 2, 4, 6, 8, 10, 12, 14

Answers

Answer:

See below :D

Step-by-step explanation:

2)5*1/4

=5/4

=1 1/4

4)2*5/6

=10/6

=5/3

= 1 2/3

6)4*3/5

=12/5

=2 2/5

8)2*3/4

=6/4

=3/2

=1 1/2

10) 7*5/9

=35/9

=3 8/9

12)4*2/3

=8/3

=2 2/3

14)5*6/7

=30/7

= 4 2/7

Hope this helps!! <:)

Answer:

2) 20

4) 1 and 2/3

6) 2 and 2/5

8) 1 and 1/2

10) 3 and 8/9

12) 2 and 2/3

14) 4 and 2/7

pls help asap

question 1. A card is pulled from a standard deck of cards. Find the probability of getting a 2 or King.

question 2. A 6-sided number cube is rolled. Find the Probability of NOT getting a 2 or 5.

Answers

Answer:

question 1) 8/52

question 2) 2/3

Step-by-step explanation:

question 1) there are 52 cards in a standard deck. Of those 52 cards there are 4 of each card (e.i 4 aces, 4 kings, 4 tens, etc.). So, 4 of 52 cards are 2s and 4 of 52 cards are Kings. 4 + 4 is 8, so the probability of getting a 2 or a King is 8/52.

question 2) There are 6 numbers on a 6-sided number cube-- 1, 2, 3, 4, 5, 6. The numbers 2 and 5 can be crossed out because we want to find the probability of NOT getting a 2 or 5. This leaves you with the numbers 1, 3, 4, and 6. That is 4 of 6 numbers. Therefore the probability of NOT getting a 2 or 5 is 4/6. We can simplify 4/6 to 2/3.

485588448383992929294848575859494939

Fill in the blank and which goes where, drag and drop..

80%
95%
33 1/3%
15%

Answers

1. = 80 2 = 95 3 = 33 4 = 15

any answer needed for practice for next subject study

Answers

Answer:

The Stores profit is 70% or $59.5

How?

The reason is because if it's selling it for 100% of the price, then that means that the store bought it for 85 dollars, and it's selling it for 85 dollars, and that's 0% profit. But because the store has bought it for 100%, and then it's charging another 70% of the price, so the store's profit is 70%.

Now, we find 70% of 85 dollars, which will be the STORE'S PROFIT AMOUNT!

1. Convert percentages into fractions or decimals

For fraction: divide 70 by 100 and remove the % sign.

[tex]{70}\%=\frac{70}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

[tex]{70}\%=0.7[/tex]

2. Multiply the decimal or fraction by the quantity that equals 100%

[tex]100[/tex]%[tex]=85[/tex]

[tex]\frac{70}{100} *85=0.7*85=59.5[/tex]

70% of 85 is 59.5Store's profit is $59.5

Extra info:

170% of 85 = 144.5

70% of 85 = 59.5

Find n. 8/12 = n/48. n = ?

Answers

Answer:

n = 32

Step-by-step explanation:

Given:

[tex]\frac{8}{12}=\frac{n}{48}[/tex]

Solve:

[tex]\mathrm{Cross\; Multiply:}[/tex]

[tex]\frac{8}{12}=\frac{n}{48}[/tex]

[tex]\mathrm{48\times8=384}[/tex]

[tex]\mathrm{384\div12=32}[/tex]

[tex]\mathrm{Hence,n=32}[/tex]

~[tex]\mathrm{[Kavinsky]}[/tex]

32 step-by-step explanation 8 x 48is equal to 384 384 divided by 12 is 32 8: 12 = 32 : 48

step by step explanations get brainliest. i dont understand how to do it and i need an explanation.

Answers

Answer:

[ 22 ]

Step-by-step explanation:

First you gotta add the cubes inside of it to find the volume then the ones outside you have to take them out and slant them then you have to fill the whole thing up and there you go [or you can just add all the numbers together for a easier explanation. ] Sorry if its wrong! ~Bread

Answer:

68 in³

Step-by-step explanation:

To find the volume of the figure, we first need to find the volumes of the 2 triangular prisms and 1 rectangular prism.

Triangular prism

[tex]{\boxed{\text{Volume}= \text{base area ×height}}}[/tex]

The base area here is the area of the triangular face, since it is the face that repeats itself throughout the entire length/height to form the volume of prism.

Base area

= area of triangle

= ½(base)(height)

= ½(2)(3)

= 3 in.

Height= 2 in.

Volume

= 3(2)

= 6 in³

Volume of rectangular prism

Volume

= base area ×height

= length ×breadth ×width

= 14(2)(2)

= 56 in³

Total volume

Volume of figure

= 2(6) +56

= 12 +56

= 68 in³

9. Three dice are tossed. Find the probability of the specified event.
A sum of 5

Answers

3/5 I think sorry if I’m wrong
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