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34kurt
3 years ago
5

I have two turtles. Today, the older turtle's age is $11$ times that of the younger turtle. In $24$ years, the older turtle's ag

e will only be $7$ times that of the younger turtle. If both turtles survive until then, how many years from today will the older turtle's age be triple that of the younger turtle?
Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer:

3

Step-by-step explanation:

3

You might be interested in
The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find
mamaluj [8]

Answer:

x = 10. In other words, there number of girls is 10.

Step-by-step explanation:

The average of a number of measurements is equal to the sum of these measurements over the number of measurements.

\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}.

Rewrite to obtain:

\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}.

For this question:

\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}.

\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}.

Therefore:

\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}.

On the other hand, there are (15 + x) boys and girls in total. Using the formula for average:

\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}.

From the question, this average should be equal to 123. In other words:

\displaystyle \frac{1875 + 120\, x}{15 + x} = 123.

Solve this equation for x to obtain:

1875 + 120\, x= 123\, (15 + x).

(123 - 120)\, x = 1875 - 123 \times 15.

x = 10.

In other words, the number of girls here is 10.

5 0
3 years ago
Valentino sells ice cream cones and ice cream tubs.
adoni [48]

Answer:

11/60 so around 18.33%

Step-by-step explanation:

hello

in total there are 120 ppl

22 are vanilla cones

so the probability that this person bought a vanilla a ice cream cone is 22/120=11/60

hope this helps

5 0
3 years ago
3. Multiply (-7)(2)(-2). (5 points)<br> 1. -28<br> 2. -14<br> 3. 28<br> 4. 14
Rashid [163]

Answer:

28

Step-by-step explanation:

-7x2 is -14

-14x-2 is positive 28.

5 0
3 years ago
Read 2 more answers
Some please help me in the bottom show me how to do it really confuse ....
Elan Coil [88]

use the equation (y-y)=m(x-x). for example with the first equation: (y-7)=-4(x-2) distribute the slope into the (x-2). this will give you (y-7)=-4x+8. then you add the 7 to both sides to cancel it. this gives you y=-4x+15. hope this helps!! :)

6 0
3 years ago
What is the value of x?
andrew11 [14]
Hope this will help you .

answer is 68

given than 2 sides are equal therefor 2 angles are also equal ,

so, angle 1 + angle2 + angleX = 180 [ASP]

2angle1 + angle X = 180
angle x = 150 - [56][2]
angle x = 180-112

ANGLE x = 68 DEGREE
MARK IT BRAINIEST IF IT WAS REALLY HELPFUL.
4 0
3 years ago
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