At the zoo,there were 3 times as many monkeys than lions.Tom counted a total of 24 monkeys and lions.How many monkeys were there?

Answers

Answer 1

Answer: so monkeys/3=lions or monkeys=3(lions)
monkeys+lions=24
subsitute monkeys=3(lions) for monkeys in the second equation
3(lions)+lions=24
add like terms
4lions=24
divide both sides by 4
lions=6
subsitute lions=6 into second equation
monkeys+6=24
subtract 6 from both sides
monkeys=18

Answer 2

Answer: $3x-\ monkeys\nx-\ lions\n\n3x+x=24\n4x=24\ \ \ \ divide\ by\ 4\nx=6\n\n3x=18\n\nThere\ are\ 18\ monkeys\ and\ 6\ lions.$

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Evaluate the integral: \[\int\limits_{}^{}ye ^{0.2y}dy\]
The problem we are having is the antiderivative of
\[e ^{0.2y}.\] We decided to split the problem into:
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\[uv = e^{0.2y}\]
We just aren't sure where to go from here. Help?

Answers

$\int\limits_{}^{}ye ^(0.2y)dy\n\nu=y,du=dy\ndv=e ^{(y)/(5)}dy,v=\int\limits_{}^{}e ^{ (y)/(5) }dy=5e ^{ (y)/(5) }\n\n \int\limits_{}^{}ye ^{(y)/(5) }}dy=uv- \int\limits {v} \, du=y 5e ^{ (y)/(5) }-\int\limits {5e ^{ (y)/(5) }} \, dy= 5ye ^{ (y)/(5) }-25e ^{ (y)/(5) }=5e ^{ (y)/(5) }(y-5)$

If (9x − 4)(9x + 4) = ax2 − b, what is the value of a?

The value of a is _____________.

Answers

(9x - 4) (9x + 4)
9x (9x + 4 ) -4 (9x + 4)
81x^2 + 36x - 36x - 16
81x^2 - 16

ax2 - b

therefore the value of a is equal to 81

Answer:

value of a is, 81

Step-by-step explanation:

Using the identity rule:

$(a+b)(a-b)=a^2-b^2$

Given the equation:

$(9x-4)(9x+4)=ax^2-b$

Apply the identity rule:

$(9x)^2-(4)^2=ax^2-b$

⇒ $81x^2-16=ax^2-b$

On comparing both sides we have;

$a = 81$ and b = 16

Therefore, the value of a is, 81

The 38,483 employees at a manufacturing company must attend a meeting about finances. The meeting room holds 315 people. How many meetings does the manufacturing company need to schedule?

Answers

123 meetings the manufacturing company need to schedule.

What is the percentage?

A relative value that represents hundredths of any quantity, the percentage. The hundredth component, one percent (symbolized as 1%), is denoted by 100 percent, while 200 percent denotes double the quantity stated.

Given, There are 33,483 employees in a manufacturing company. All of them had to attend the meeting since The meeting room holds a total of 315 persons.

Thus total meeting needed = 33,483/ 315

Total meeting needed = 122.16

Therefore, the company needs to hold 123 meetings so that all employees can attend the meeting.

Learn more about percentages here:

brainly.com/question/29116686

#SPJ5

123 meetings. 38,483 divided by 315 equals 122.168254. To have everyone meet, you need 123 meetings.

Exit Ticket: 1-4 WavesIn the following diagram the waves move from left to right and then stop. The motion of the wave will continue down the
rope after 2 seconds. Type in your answers.
0.4m
Time (sec): 2
a) What is the amplitude of the waves? 5 pts
b) What is the wavelength of the waves? 5 pts
c) How many waves are generated in two seconds? 10 pts
d) What is the frequency of the waves? 10 pts
e) What is the period of the wave? 10 pts

Answers

Answer:

a) 0.4m

b)2m

c)2

d)1 s^-1

e) 1 s

Step-by-step explanation:

a) The amplitude of the wave is the highest vertical displacement

with respect to this question, this is 0.4m

b) The wavelength of the wave is simply the distance between two crest or troughs

In this question, this is 2m

c) The number of waves generated is 2

d) Frequency of the waves is the number of waves generated per second

if 2 waves are generated in 2 seconds

The number of waves in a second is 2/2 = 1

So the frequency is 1 s^-1

e) Period is 1/frequency

= 1/1 = 1 second

What is the mean of the following data values?22, 37, 49, 15, 72

A. 49
B. 39
C. 37
D. 47

Answers

If you add them all together and divide by 5, then the answer is B (39) :)

Complete the factorization.9g2 + 30g + 25 = (3g + _________ )2

3

15

5

10

Answers

If you would like to complete the factorization, you can do this using the following step:

9g^2 + 30g + 25 = (3g + 5) * (3g + 5) = (3g + 5)^2

The correct result would be 5.

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