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
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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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
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.
heeelellllllllppppppppp
Please help with this also
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.Yall please help me because I dont know how math or school works so please help answer 2, 4, 6, 8, 10, 12, 14
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
Please help me with this I would give you 50 points.
What is the distance around the circle?
314 feet
20 feet
31.4 feet
62.8 feet
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.
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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.
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i need some help with this!!
Answer:
C, √59
Step-by-step explanation:
Simplify √52
= 7.21110255093
What are the coordinates of point A? (8, –6) (–6, 8) (–5, 7) (7, –5) giving 100 point
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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any answer needed for practice for next subject study
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 $59.5Extra info:
170% of 85 = 144.5
70% of 85 = 59.5
In which data set is the mean equal to the median?
9. Three dice are tossed. Find the probability of the specified event.
A sum of 5
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.
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.
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.
Answer:
The answer is 36 in
Step-by-step explanation:
hope this helped! :D
(pls give brainlest)
help I cant figure out how to do this type of problem
can u help meeeeeeee pleaseee
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:
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
Answer:
81.75%
Step-by-step explanation:
98 percent on a 60 point test is 59/60
65.50+98/2 = 81.75%
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?
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.
10 points and brainly hurry please.
it's 3 calories per grape
57/19= 3
Answer: 3 calories per grape
Step-by-step explanation:
ur welcome
step by step explanations get brainliest. i dont understand how to do it and i need an explanation.
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
please help me with this question
Answer:
The answer is y=60/x
(I also had this question)
^^ Please answer it!
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.
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.
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Fill in the blank and which goes where, drag and drop..
80%
95%
33 1/3%
15%
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
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
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?
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
Find n. 8/12 = n/48. n = ?
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]
Which statement is correct?
A. 3<√15 <4
B. 4<√15<5
C. 5<√15 < 6
D. 6<√15 <7
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
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!
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
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!)
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
ASAP am i correct?
which two transformations when both performed on rectangle 1 will show it is similar to rectangle 2
Answer:
Its A and C. Since you need a reflection then a dilation to result in that image.