answer.
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
schepotkina [342]
1 year ago
5

Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 ti

mes as many hours as he had the first month. If he volunteered for a total of 40 hours, how many hours did he volunteer during the first month? Write an equation to represent the situation and solve
Mathematics
1 answer:
Eddi Din [679]1 year ago
6 0

Answer:

<u>Hours in first month = 8</u>

Step-by-step explanation:

AS it is given

He volunteered fr the first month = x hours

He volunteered for the second  month = 12/3 times of first month

which will be = 12/3 * x

Total Hours volunteered = 40 hours

Now according to the given conditions

Volunteered first month + volunteered second month = total

putting this gives

x + 12/3 8 x  = 40

as 12/3 = 4 so

it becomes

x + 4x = 40    

solcing it will gives

5x = 40

x = 40/5

x = 8

<u><em>So Numbers of hours worked in first month are 8</em></u>

<u><em></em></u>

<u>I hope this help you! :)</u>

You might be interested in
The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = −
marysya [2.9K]

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

P(x)=-15x(x-8)

To find:

The current which will produce the maximum power.

Solution:

We have,

P(x)=-15x(x-8)

P(x)=-15x^2+120x

Differentiate with respect to x.

P'(x)=-15(2x)+120(1)

P'(x)=-30x+120      ...(i)

To find the extreme point equate P'(x)=0.

-30x+120=0

-30x=-120

Divide both sides by -30.

x=4

Differentiate (i) with respect to x.

P'(x)=-30(1)+(0)

P'(x)=-30 (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

7 0
2 years ago
Statements and reasonings 2(4x+2)=20
Katarina [22]

distribute-   8x+4=20

subtract-    8x=20

divide-      20/8=x

answer-   x=2.5


6 0
2 years ago
The price per night for a hotel room is different at three different hotels.
Damm [24]
I think you meant it to be not repeating 3 times so
You do 192/3 is 60*3= 180 leaving you with 12 which is 4*3. So 64 is A
Then it’s 300/5 which is 60
455/7. So first see, if I multiply 7 by 60 is it over or under. If it’s over then B is the least and if it is less then C is the least. So 7 *60 is 420
C Being greater, b costs least per night
4 0
1 year ago
Brainliest for the correct awnser!!! In general, when solving a radical equation with square roots, you should first isolate the
Dominik [7]

Answer:

B

Step-by-step explanation:

8 0
1 year ago
Read 2 more answers
A survey of the men in a certain town showed that 35% of the men have blond hair and 14% of them have blond hair and blue eyes.
natita [175]
If you are given he has blond hair, so the total probability will be 35%. And among them, he needs to have blue eyes, its probability is 14% among the 35%. So the final probability is 14%/35%=40%.
7 0
2 years ago
Other questions:
  • If P' (3,6) is the image if P (2,-4) under translation T find the image of (7,2).
    8·1 answer
  • An open-topped glass aquarium with a square base is designed to hold 13.513.513, point, 5 cubic feet of water. what is the minim
    13·1 answer
  • Suppose that the prevalence of a certain type of tree allergy is 0.26 in the general population. If 100 people randomly chosen f
    11·2 answers
  • Find the buoyant force of a rectangular solid of the given dimensions submerged in water so that the top side is parallel to the
    7·1 answer
  • Your company manufactures two models of speakers, the Ultra Mini and the Big Stack. Demand for each depends partly on the price
    14·1 answer
  • A bike shop rents each of its mountain bikes for a one-time $10.50 insurance charge plus $4.50 per hour. Which equation can be u
    9·1 answer
  • A total of 12 players consisting 6 male and 6 female badminton players are attending a training camp
    7·1 answer
  • The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the
    14·2 answers
  • hmu also What is the sum and classification of Two-fifths + StartRoot 88 EndRoot? 9.78083151..., irrational 9.78083151..., ratio
    12·2 answers
  • Solve: M = 7a + 5ab for a.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!