Mathematics College

The elves and reindeer are
getting ready for a meeting with
Santa. 15 of them have arrived
so far. If they have 40 legs
between them, how many elves
are at the meeting and how
many reindeer are at the
meeting?
G

Answers

Answer 1

Answer:

10 elves and 5 reindeer

Step-by-step explanation:

Let the number of elves be x and reindeer be y, then we have equations:

x + y = 152x + 4y = 40

Simplify the second equation and subtract the first one:

x + 2y = 20(x + 2y) - (x + y) = 20 - 15y = 5

Then find x:

x = 15 - 5 = 10

10 elves and 5 reindeer at the meeting

Related Questions

HELPP PLZZZ I put a picture ​

Answers

Answer:

The first one

Step-by-step explanation:

Dont have time to explain sry

When Ms. Lawrence goes to the doctor’s office, they have patients wait 30 minutes. She found a new doctor that has 15% less wait time. What is the wait time at the new doctor’s office?


Does anyone know the answer?? Idk how to solve

Answers

Answer:

25.5 minutes

Step-by-step explanation:

If sin Q= 4/5, cos P + cos Q = ____

Answers

We know that ,

[tex] \sin( \alpha ) = \frac{opposite}{hypotenuse} [/tex]

and

[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]

where 'alpha' is an angle of triangle ; 'opposite' denotes the side opposite to alpha & 'adjacent' refers to the side next to the angle (but not hypotenuse)

Similarly ,

[tex] \sin(q) = \frac{opposite}{hypotenuse} = \frac{4}{5} [/tex]

Let the length of the opposite side be 4x and the length of hypotenuse be 5x. By using Pythagorean Theorem , we can find the length of base.

[tex] {base}^{2} + {(4x)}^{2} = {(5x)}^{2} [/tex]

[tex] = > {base}^{2} = 25 {x}^{2} - 16 {x}^{2} = 9 {x}^{2} [/tex]

[tex] = > base = \sqrt{9 {x}^{2} } = 3x[/tex]

Now , we have got the length of all the sides of the triangle. So,

[tex] \cos(q) = \frac{adjacent}{hypotenuse} = \frac{3x}{5x} = \frac{3}{5} [/tex]

and

[tex] \cos(p) = \frac{adjacent}{hypotenuse} = \frac{4x}{5x} = \frac{4}{5} [/tex]

So,

[tex] \cos(p) + \cos(q) = \frac{4}{5} + \frac{3}{5} = \frac{7}{5} [/tex]

Bill is playing a board game that has a spinner divided into equal sections numbered 1 to 20.

The probability of the spinner landing on an even number or a multiple of 5 is?



Select one:
a. 12/20
b. 3/5
c. 7/15
d. 1/5

Answers

I’m pretty sure it is d

Arturo can walk 4 miles in 1 hour. How many miles can he walk 3 hours?

Answers

Answer:

12

Step-by-step explanation:

In a class of 100 half the students are science majors and half are liberal art majors. A student who is a science major has a 0:9 probability of passing a given test whilst a student who is liberal art major has only a probability of 0:7. We pick 2 students at random without replacement and give them the test. What is the probability that both students pass the exam

Answers

Answer:

P(both students passed the exam) = 0.61948

Step-by-step explanation:

From the given information:

P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)

= P (both are science students) + P(both are art students) + P(one from each group)

where;

P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18

P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213

P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182

P(both students passed the exam) = 0.18 + 0.1213 + 0.3182

P(both students passed the exam) = 0.61948

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