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]
2 years 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]2 years 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
Hannah is designing containers to hold 300 cm3 of juice. Which container is more efficient?
Lubov Fominskaja [6]

Answer:

a) 2nd container is more efficient and contains the elements for a container.

b) The cylinder has a........A)Smaller surface area B)bigger C)equal

And will cost.....A)Less to produce B)more C)The same

Step-by-step explanation:

a) The 2nd container has these elements:

Width 20.5cm

Length 6.5cm

side 3.25cm

So, the volume in cubic cm is 20.5 x 6.5 x 3.25 = 433cm3.

This container can hold the 300cm3 of juice.

b) A cylinder is a geometric solid common in everyday life.  Examples of a cylinder are soup cans, food tins, drink cans, candles, toilet paper rolls, cups, aerosol cans, flower vases, test tubes, fire extinguishers, plant containers, salt shakers and pencil holders.  The two ends are called bases, and are usually circular.  Though, they can take other shapes.  When a cylinder is unrolled and flattened out, the side is actually a rectangle.

The surface area of a cylinder is the surface area of each end plus the surface area of the side.  The mathematical formula is 2π * r2, where π is the pie and r is the radius of the end and r2 is r squared..

6 0
2 years ago
Yun was trying to factor 7x^2-14x7x
disa [49]

the width of Yun's area model is 7x units or ( x-2 )units .

<u>Step-by-step explanation:</u>

Here we have , Yun was trying to factor 7x^2-14x.  He found that the greatest common factor of these terms was 7x and made an area model:  What is the width of Yun's area model. Let's find out:

We know that area of rectangle :

⇒ Area = length(width)  .........(1)

Now , According to question we have

⇒ Area = 7x^2-14x

⇒ Area = 7x(x-2)

Comparing this equation to equation (1) we get that :

⇒ width = 7x or , width =x -2

Therefore , the width of Yun's area model is 7x units or ( x-2 )units .

8 0
2 years ago
Read 2 more answers
An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment
stealth61 [152]

Answer:  First option is correct.

Step-by-step explanation:

Enrollment month   Actual   Predicted   Residual

January                   500           8                4

February                 400           15              -1

March                     550            15              -1

April                         13              12              -1

May                         16              17              -1

June                        14              15              -1

Since we know that

Residual value = Actual value - Predicted value

Sum of residuals is given by

4-1-1+1-1-1=1

since we can see that sum of residual is more than 0.

So, it can't be a good fit .

Hence, No, the equation is not a good fit because the sum of the residuals is a large number.

Therefore, First option is correct.

6 0
2 years ago
A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104
Bingel [31]

Answer:

x2 + 5x – 104 = 0

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The actual proportion of voters who plan to vote for a particular proposition in the next election is 70%, but LaShandra does no
Setler [38]

Answer:

0.0417

Step-by-step explanation:

Given the following;

p = 0.7, n=121

The sampling distribution of sample proportion will be approximately normal with mean

\mu_{\hat{p}}=p=0.7

and standard deviation

\sigma_{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.7\cdot 0.2}{121}}=0.0417

Check attachment for the curve diagram.

4 0
2 years ago
Other questions:
  • for the first half of the season, Alpha team won 2/3 of their meets. For the second half of the season they won 3/4 of their mee
    13·1 answer
  • the equation of a curve is xy=12 and the equation of a line l is 2x+y=k where k is a constant .In the case where k=11 find the c
    10·1 answer
  • The ratio of boys to girls in ms.​ zombo's class is 33 to 22. in mr.​ stolarski's class it is 55 to 33. if there are 15 students
    12·1 answer
  • A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to t
    12·2 answers
  • The graph of which function has a minimum located at (4, –3)?
    6·2 answers
  • Bob's bill for dinner at surefire steak house was $45. In addition he piad 5°\° of the bill in tax and he left a tip for 15°\° o
    15·1 answer
  • Write the following expression as a single logarithm with coefficient 1. log910 − log9 1 2 − log94
    7·2 answers
  • A bag contains marbles, two of which are blue. Hayley plays a game in which she randomly draws marbles out of the bag, one after
    13·1 answer
  • Eighteen 2.5 gallon buckets are needed to fill a cistern with water. Find the constant of variation. Please help! Thank you!
    13·2 answers
  • There are 80 people in a choir.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!