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pav-90 [236]
3 years ago
5

There are seven children in the Arthur family, including one set of twins. The youngest child is 6 years old, and the oldest is

16 years old. The mean of their ages is 11 years, the median is 10 years, and the mode is 15 years. What are the ages of the Arthur children? How old are the twins?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0
One is 6 years old, one is 16 as per the rules. Now we have 5 unknowns, of which either the twins can be both a part of, or one can be either 6 or 16 as well.

Since the mode is the most frequently occurring number, let's assume that 15 years old appears twice to make it so.

Now we have one 6 y.o, two 15 y.os, and one 16 y.o.

Out of 7 kids, the middle child has to be 10 years old to secure the median.

Now we just have two missing, and we need to figure out the mean. 6+15+15+10+16 is 62, dividing by 5 is 12.4 The mean is currently 12.4 years old. For the mean to be 11, the combined total has to be 77 (since 77/7 kids is 11 mean) 77-62 is 15. But to make sure the median stays 10, both of those kids have to be less than 10 but more than 6. Therefore, their ages must be 7 and 8.

Their ages are 6, 7, 8, 10, 15, 15, 16

Let's double check to make sure we have all the qualifications. 7 kids, check. Youngest 6, check. Oldest 16, check. Twins, check. Median of 10, check. Mode of 15, check. Average of 11, well 6+7+8+10+15+15+16 is 77, 77/7 is 11, so check. Phew.

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Graph (-4, 5), (2, 3), (-3.0), (-4. -5). (-5. 2), and (-5,3) and connect the points to form a polygon. How many sides does the p
kykrilka [37]

Answer:

I think the sides of polygon are 6

Step-by-step explanation:

Because to form a polygon we need to the first to form a horizontal and vertical line,to find the number in that line,and join the line based on the numbers given, then you will get a polygon with 6 side

7 0
2 years ago
A cylinder has a base area of 100cm and volume of 1500 cm what’s the height
e-lub [12.9K]

Answer:

we know,

Volume of cylinder = Base area × height

1500= 100×h

so, Height h = 15 cm

6 0
2 years ago
????????????????????
Snowcat [4.5K]
Greetings!

Substitute:
x+y=1000 \\ x=1000-y
Now we can input this into the other equation so, we only have one variable.

Solve for y.
0.05(1000-y)+0.06y=57
Distribute the parenthesis.
50-0.05y+0.06y=57
Combine Like Terms.
50-0.01y=57
Add -50 to both sides.
(50-0.01y)+(-50)=(57)+(-50)
Simplify.
0.01y=7
Divide both sides by 0.01.
(0.01y)/0.01=(7)/0.01
Simplify.
y=700

Input this value into the other equation.
x+700=1000
Add -700 to both sides.
(x+700)+(-700)=(1000)+(-700)
Simplify.
x=300

The answer would be 300,700

Hope this helps.
-Benjamin
8 0
3 years ago
Sharon is 3 years old less than twice her younger brother's age. Let (s) repressent sharons age and (b) repressent her brother's
densk [106]

If Sharon is 3 years younger, then it's s = 3-b. However, it's twice her brothers age, which makes the formula our final answer, A, or s = 3 - 2b

6 0
3 years ago
Read 2 more answers
Mr. Martin’s math test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points.
makkiz [27]

Answer:

A

Step-by-step explanation:

a = 10 X 5 = 50, 25 X 2 = 50 = 100

B = 15x5 = 75, 20 x 2 = 40, = 105

C = 20 x 5 = 100, already at 100 (so immediately wrong)

D: 25 x 5 = 125, already larger than 100 (so immediately wrong)

Therefore A is the only correct option, hop i helped you!

(could you mark me brainliest if possible thanks!)

6 0
3 years ago
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