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
iVinArrow [24]
3 years ago
13

A mother is 30 years older than her son. Fifteen years ago the son was 1/3 of

Mathematics
2 answers:
nalin [4]3 years ago
8 0

Let s be the son's age 15 yeasr ago and m the mother's age that year.

s = \dfrac{m}{3}

We also know that:

m = s+30

Plotting vallues:

s = \dfrac{m}{3}\\\\\\3s = s+30\\\\2s = 30\\\\s = 15\\\\m = 45

Remember that they were that age 15 years ago.

So their actual age is 30 and 60.

Ugo [173]3 years ago
8 0

nevermind that was wrong

You might be interested in
Using the formula y=ab/2c, express: the variable c in terms of a, b, and y.
adelina 88 [10]

Answer:

aby/2 = c

Step-by-step explanation:

1) ab * y = ab/2c

2) aby/2 = 2c/2

Final answer: aby/2 = c

4 0
3 years ago
three points have coordinates A(-1,2),B(3,10)and C(p,8).Find the value (s) of p if AC is perpendicular to BC.
Reil [10]

Step-by-step explanation:

All steps are in pic above.

<u>N</u><u>o</u><u>t</u><u>e</u><u>:</u><u>i</u><u>f</u><u> </u><u>y</u><u>o</u><u>u</u><u> </u><u>h</u><u>a</u><u>v</u><u>e</u><u> </u><u>a</u><u>n</u><u>y</u><u> </u><u>questions</u><u> </u><u>a</u><u>b</u><u>o</u><u>u</u><u>t</u><u> </u><u>i</u><u>t</u><u> </u><u>l</u><u>e</u><u>t</u><u> </u><u>m</u><u>e</u><u> </u><u>k</u><u>n</u><u>o</u><u>w</u><u>.</u>

4 0
3 years ago
A salesman has a base salary $2600 per month and makes 3 commission on each unit sold. If his total annual compensation is $48,0
nevsk [136]

Answer:

Each unit cost $800

Step-by-step explanation:

Annual compensation = $48,000

Annual number of units sold = 2000

Commission on each item sold = 3%

Compensation for 2000 units = $48,000

Compensation for 1 unit = $48,000/2000 = $24

Cost of one unit = compensation for one unit ÷ commission on one unit = $24 ÷ 3% = $24 ÷ 0.03 = $800

8 0
4 years ago
Read 2 more answers
Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run
4vir4ik [10]

I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"

Answer and Explanation:

There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week

To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.

49 weeks×5 shifts= 245 shifts per operator per year

365×3 shifts= 1095 shifts per year

1095/245=4.5 operators per shift

total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14

total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928

3 0
3 years ago
According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood,
Serjik [45]

Answer: 0.27648

Step-by-step explanation:

Given : The proportion of all  individuals have group A blood : p=0.040

Total individuals give blood : n= 6

Let X be the number of individuals have group A blood.

Since all individual are independent of each other.

X\sim Bin(n=6, p=0.40)

Formula : P(X=x)=^nC_xp^x(1-p)^{n-x} , where n= sample size , p = probability of getting success in each trial.

The probability that exactly three of the individuals have group A blood. :

P(x=3)= ^6C_3(0.40)^3(1-0.4)^3\\\\= \dfrac{6!}{3!3!}\times(0.40)^3(0.60)^3\\\\=0.27648

The probability that exactly three of the individuals have group A blood. is 0.27648

8 0
3 years ago
Other questions:
  • What is the volume of a cone with a diameter of 30 feet and a height of 60 feet use 3.14 for pie
    11·1 answer
  • A rectangle is dilated by a scale factor of 4.
    13·1 answer
  • In one day Anne traveled five times the sum of the number of hours Brian traveled and two. together they travel 20 hours find th
    10·1 answer
  • Luke’s luck changed, and he was able to enroll full-time again. He has become employed full-time and earns $40 per hour. Becomin
    7·2 answers
  • In the equation, which is true about the value of x?
    7·1 answer
  • Which of the following equations are equations of circles? Choose all that apply
    15·1 answer
  • Please help. If you don't know the answer please don't resond. It's not funny and it doesn't help either.
    6·2 answers
  • Find the value of x​
    13·1 answer
  • I need help with this
    7·1 answer
  • PLEASE HELP!!!!!! <br> 20 POINTS
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!