1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa86 [58]
2 years ago
14

Micah is thinking of a 2-digit number. It is a multiple of 6 and 12. It is a factor of 108. The sum of its digits is 9. What num

ber is Micah thinking of?
Mathematics
1 answer:
Anna007 [38]2 years ago
3 0
So we need to find the common multiples of 6 and 12. Which are basically the multiples of 12, since 6 is always divisible to 12. So (12, 24, 36, 48, 60, 72, 84, 96, 108) Since it is a factor of 108, we stop at 108 (since a number greater than 108 can't be a factor of 108)

Now we find the factors of 108
108=<span>1,2,3,4,6,9,12,18,27,36,54,108

The numbers in both lists are 36 and 108 but since Micah is thinking of a 2-digit number, the number she is thinking of is 36.</span>
You might be interested in
2,200 people enter an amusement park every hour. How long will it take for 6,000 people to enter the park?
4vir4ik [10]

P= Total # of people who entered the park

t= The time in hours

P=2200t

6600 = 2200t

Divide both sides of the equation by 2200:

3=t

answer : 3 hours

7 0
2 years ago
Read 2 more answers
Mr. Foster is starting a new job. His salary for the first year is $30,000. He will receive a 5% raise each year after that. Wri
stira [4]

Answer:

s= 30000+1500x

Step-by-step explanation:

Given data

Le the number of years be x

His salary for the first year is $30,000

5% of $30,000

=5/100*30000

= 0.05*30000

= $1500

Hence for x years the salary can be described as

s= 30000+1500x

6 0
3 years ago
14 Type the correct answer in each box. Use numerals instead of words. a Ava, Lucas, and Maria are playing a game where they pas
jeka94

Answer:

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

Step-by-step explanation:

The cosine and tangent functions are useful here. The relevant relations are ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...

  cos(40°) = 12/ma

  ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet

__

The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...

  tan(40°) = ml/12

  ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet

__

The angle formed at Maria's position is the complement of the other acute angle in the right triangle:

  M = 90° -40° = 50°

In summary, ...

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

5 0
2 years ago
Pls, look at the picture for the question.
finlep [7]
B. 9*10^16 (because in question give it)


B. 3*10^9 (because answer to first question is divided by seconds in one year (365*24*60*60).
7 0
2 years ago
Read 2 more answers
Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the
Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!

8 0
2 years ago
Other questions:
  • A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the
    5·2 answers
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
    7·2 answers
  • Lucy is in charge of planning a reception for 2400 people. She is trying to decide which snacks to buy. She has asked a random s
    13·1 answer
  • Select the correct answer.​
    10·1 answer
  • Please help this is the third time ive asked this :(
    5·1 answer
  • tony has 4 cards in front of her. Her task is to choose 1 more to add to her 4 cards so that the sum of all 5 cards is 0
    7·1 answer
  • The angles of a triangle are 980, 51°, and xº.<br> What is the value of x?<br> x=1
    15·1 answer
  • If f (x ) = 3x , what is f (-2) and f (2)?
    7·2 answers
  • What is the square root of 23456? (Btw anyone have pad-let?)
    11·2 answers
  • Is this or is this not a function?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!