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Stolb23 [73]
3 years ago
13

Bob and mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum

of the ages of his children. Mark points out there is still not enough information to accurately guess. Finally, Bob says" my youngest child called justice". Mark can then correctly determine the ages of bob's children. What are the ages?
Mathematics
1 answer:
taurus [48]3 years ago
4 0
I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.

3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3
  3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible combination with no repeating number.

1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72
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Which inequality is true when the value of y is 9?
goldfiish [28.3K]

Answer:

y + 8 > 0.5

Step-by-step explanation:

Let's take a look at each one individually to see whether y = 9 is a possible value for the inequality. First, we'll check out y + 8 < 0.5. If we replace y with 9, we get 9 + 8 < 0.5. 9 plus 8 is 17, so now we have 17 < 0.5. That's not true, because 17 is not smaller than 0.5. So we know that this option is incorrect.

Next, let's look at -y + 8 > 0.5. We replace y with 9 and get -9 + 8 > 0.5, or -1 > 0.5. This isn't true either! -1 is <em>smaller</em> than 0.5, not greater. So this isn't the option either.

We'll now look at y + 8 > 0.5. If we replace y with 9, we get 9 + 8 > 0.5 or 17 > 0.5. This is true, so we can be confident that this is the correct answer! Let's just test the last answer for good measure though.

Is -9 + 8 greater than -0.5? Well, -9 plus 8 is equal to -1, and -1 is <em>not</em> greater than -0.5. So we were correct. y + 8 > 0.5 is true when the value of y is 9.

8 0
2 years ago
Plz help <br>What's 1000+20+30+1000+1030+1000+20=?​
Ber [7]

Answer:

4,100

Step-by-step explanation:

1000+1000+1000+1030=4030

20+20+30=70

4030+70=4100

5 0
3 years ago
Read 2 more answers
i have been struggling for this work that has been assigned to me at the first day of school after a long time.
maria [59]

Answer:

Fill the gaps in this sequence:

25 36 <u>49</u> 64 81 <u>100</u>

This sequence is the numbers 5, 6, 7, 8, 9, and 10 squared.

Work out the cube root of 343, then square it.

<u>49</u>

Since 7 cubed equals 343, then 7 squared is 49.

When you subtract one square number from another the answer is 7.

What are the two square numbers?

<u>16</u> and <u>9</u>

These are the only squares that fit the criteria.

Write down a number you can square to give an answer bigger than 200 but smaller than 300.

<u>15, 16, 17</u>

All of those answers work. 15² is 225, 16² is 256, and 17² is 289. You can choose any of them to enter in and it should work.

7 0
3 years ago
Find the average rate of change of g(x) = 1x3 + 2 from x =<br> 1 to x = 4
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Explanation:

The

average rate of change

of g(x) over an interval between 2 points (a ,g(a)) and (b ,g(b) is the slope of the

secant line

connecting the 2 points.

To calculate the average rate of change between the 2 points use.

∣

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

g

(

b

)

−

g

(

a

)

b

−

a

a

a

∣

∣

∣

−−−−−−−−−−−−−−−

g

(

6

)

=

6

2

−

6

+

3

=

33

and

g

(

4

)

=

4

2

−

4

+

3

=

15

Thus the average rate of change between (4 ,15) and (6 ,33) is

33

−

15

6

−

4

=

18

2

=

9

This means that the average of all the slopes of lines tangent to the graph of g(x) between (4 ,15) and (6 ,33) is 9

3 0
3 years ago
PLEASE HELP! IM A MONTH BEHIND IN MATH AND FREAKING OUT T^T PLZZZZ
ANTONII [103]
A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2)  = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is  y = 1x + 48
Make standard form.
<span>x - y = -48
</span><span>b) make a table and plot points for the first 7 hours
Table Is attached.
Good Luck!
If you like the answer please give me brainliest answer!
</span>

3 0
3 years ago
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