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Tanzania [10]
3 years ago
11

Three friends all have ages that are consecutive integers. The sum of their ages is 180. What is the age of the oldest friend?

Mathematics
1 answer:
Masja [62]3 years ago
5 0

Answer:

61 yeas old

Step-by-step explanation:

180 is dividable by 3 evenly into 60. If you remove 1 from one of the 60's and add it to another 60, the order is now 59,60,61. So the oldest friend is 61 years old

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Round off square root of 120 to the nearest whole number?
Westkost [7]

Answer:

11

Step-by-step explanation:

for this question we can look at the whole answer for the square root of 120 which equals 10.9544511501

\sqrt{120} = 10.9544511501

now looking at our answer (10.9544511501) we want to find the nearest WHOLE NUMBER. in the current answer the whole number is 10, followed by many decimals.

10.9544511501

but to find the nearest whole number we have to round the place value BEFORE our whole number. (in this case the 9)

10.9544511501

we can now look at this highlighted section of our equation and think... is 10.9  closer to 11 or 10. well logically, to get to 11 from 10.9 we only have to go up by 0.1, rather than to get to 10, where you have to subtract 0.9.

10.9 + 0.1 = 11

10.9 - 0.9 = 10

But to make it easier, remember the rule:

the place value one place to the RIGHT of what you're rounding to, is what determines the new number. (in this case the .9)

and as any number 5 or above rounds up, we can say that our new number, rounded to the nearest whole number equals 11

10.9 rounded to the nearest whole number = 11

4 0
2 years ago
The length of some fish are modeled by a von Bertalanffy growth function. For Pacific halibut, this function has the form L(t) =
Dafna1 [17]

Answer:

a) L'(t) = 34.416*e^(-0.18*t)

b) L'(0) = 34 cm/yr , L'(1) =29 cm/yr , L'(6) =12 cm/yr

c) t = 10 year                                          

Step-by-step explanation:

Given:

- The length of fish grows with time. It is modeled by the relation:

                                   L(t) = 200*(1-0.956*e^(-0.18*t))

Where,

L: Is length in centimeter of a fist

t: Is the age of the fish in years.

Find:

(a) Find the rate of change of the length as a function of time

(b) In this part, give you answer to the nearest unit. At what rate is the fish growing at age: t = 0 , t = 1, t = 6

c) When will the fish be growing at a rate of 6 cm/yr? (nearest unit)

Solution:

- The rate of change of length of a fish as it ages each year  can be evaluated by taking a derivative of the Length L(t) function with respect to x. As follows:

                             dL(t)/dt = d(200*(1-0.956*e^(-0.18*t))) / dt

                             dL(t)/dt = 34.416*e^(-0.18*t)

- Then use the above relation to compute:

                            L'(t) = 34.416*e^(-0.18*t)

                            L'(0) = 34.416*e^(-0.18*0) = 34 cm/yr

                            L'(1) = 34.416*e^(-0.18*1) = 29 cm/yr

                            L'(6) = 34.416*e^(-0.18*6) = 12 cm/yr

- Next, again use the derived L'(t) to determine the year when fish is growing at a rate of 6 cm/yr:

                             6 cm/yr = 34.416*e^(-0.18*t)

                             e^(0.18*t) = 34.416 / 6

                             0.18*t = Ln(34.416/6)

                             t = Ln(34.416/6) / 0.18

                             t = 10 year

7 0
3 years ago
Complete the following statement of congruence
OLga [1]

Answer:

B. angle STR

Step-by-step explanation:

I basically just tried to align the 2nd triangle to look like the first one. hope that helps lol

5 0
3 years ago
I WILL GIVE BRAINLIEST, AND THX
bazaltina [42]
4 - (x + 2) < - 3(x + 4) \\ 4 - x - 2 < - 3x - 12 \\ 2 - x < - 3x - 14 \\ (2x < - 14) \div 2 \\ x < - 7
6 0
4 years ago
Read 2 more answers
I need help pleassssseeeee?
katen-ka-za [31]

8π²

2πr² is the equation to find the base, but the answer doesn't ask for the exact awsner, rather the expanded version. 4 is the radius, radius x 2 is 8.

8π²

3 0
3 years ago
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