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
Tanzania [10]
2 years ago
8

A number is divided by 3. Then 14 is added to the quotient. The result is 33. What is the orginal number?

Mathematics
1 answer:
seropon [69]2 years ago
4 0

let "a number" = x

a number is divided by 3 => x/3

14 is added to the quotient => (x/3) + 14

The result is 33 => " = 33"

Solve for x

(x/3) + 14 = 33

Isolate the x. Note the equal sign. What you do to one side you do the other.

Subtract 14 from both sides

(x/3) + 14 (-14) = 33 (-14)

x/3 = 19

Isolate the x. Multiply 3 to both sides

x/3(3) = 19(3)

x = 19(3)

x = 57

57 is your original number

hope this helps

You might be interested in
A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find
notsponge [240]
So we need to cover 5.5% into a decimal. 

0.055 = 5.5%

The house value is 120,000.
So 

(1.055x) * (120,000)= 

So

f(x)=1.055x * 120,000
7 0
3 years ago
Read 2 more answers
Someone please help me I don’t understand this
Alla [95]

Answer:

huh

Step-by-step explanation:

8 0
2 years ago
I need help with number 2
horrorfan [7]

Answer:

Slope= 0.20

Y-intercept=12.50

Equation= Y=0.20+12.50

Step-by-step explanation:

6 0
3 years ago
Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract
lisov135 [29]

Answer:

P(X = 0) = 0.03125

P(X = 1) = 0.15625

P(X = 2) = 0.3125

P(X = 3) = 0.3125

P(X = 4) = 0.15625

P(X = 5) = 0.03125

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Fair coin:

Equally as likely to be heads or tails, so p = 0.5

5 tosses:

This means that n = 5

Probability distribution:

Probability of each outcome, so:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125

P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625

P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125

P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125

P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625

P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125

5 0
2 years ago
I am child in the family
uranmaximum [27]

Answer:

why this question ?!

giving points?!

5 0
3 years ago
Read 2 more answers
Other questions:
  • Jackson says he has an odd number of model cars. He has 6 cars on one shelf and 8 cars on another shelf. Is Jackson correct? Exp
    15·1 answer
  • Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
    10·1 answer
  • Solve for x. x +1/2 = 3/4
    5·2 answers
  • −5 2/3+ 3 1/4+(−7 1/3)
    10·1 answer
  • Multiply 3x(2x-1) by following these steps
    8·2 answers
  • Elaine had StartFraction 5 Over 8 EndFraction of a pizza left after lunch. She told 5 of her friends that they could share the r
    7·2 answers
  • PLEASE HELPPPPP I WILL GIVE BRAINLIESTT
    13·2 answers
  • 5/7(d+20)= -10<br> What is d?
    12·2 answers
  • Screen printing a batch of shirts requires 1 minute per shirt in addition to 6.07 minutes of initial setup time. If it takes 13.
    11·1 answer
  • HELP DUE IN 10 MINS!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!