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
Nookie1986 [14]
3 years ago
7

Alexis, Becca, and Cindy do volunteer work at Adopt-a-Pet Animal Shelter. They worked a total of 285 hours at the shelter last s

ummer. Alexis worked 15 hours less than Becca. Cindy worked 4 more than twice as many hours as Becca.
Write and solve an equation that expresses the relationship between the number of hours each student worked last summer and the total number of hours worked. Define the variable used in your equation.


How many hours did each student work?

I really need the answer to this by Monday so please help if you have the time.
Mathematics
1 answer:
swat323 years ago
3 0

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Step-by-step explanation:

Given,

Total hours worked by three of them = 285 hours

Let,

x represent the hours of Alexis.

y represent the hours of Becca.

z represent the hours of Cindy.

According to given statement;

x+y+z=285    Eqn 1

Alexis worked 15 hours less than Becca.

x = y-15         Eqn 2

z = 2y+4        Eqn 3

Putting value of x and z from Eqn 2 and 3 in Eqn 1

(y-15)+y+(2y+4)=285\\y-15+y+2y+4=285\\4y-11=285\\4y=285+11\\4y=296

Dividing both sides by 4

\frac{4y}{4}=\frac{296}{4}\\y=74

Putting y=74 in Eqn 2

x=74-15\\x=59

Putting y=74 in Eqn 3

z=2(74)+4\\z=148+4\\z=152

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Keywords: linear equation, division

Learn more about division at:

  • brainly.com/question/9510228
  • brainly.com/question/9443926

#LearnwithBrainly

You might be interested in
A countertop is in the shape of a trapezoid. The lengths of the bases are 70.5 and 65.5 inches long. The height of the counterto
den301095 [7]
The answer is 1224. You do 70.5 + 65.5, divided by two, then you take that answer and multiply by 18 to get 1224
8 0
2 years ago
Which of the following inequalities represents a number y that is less than 4 but greater than -1
sukhopar [10]

Four is greater than y, and -1 is less than y

4 > y <  - 1

5 0
3 years ago
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
timofeeve [1]

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the <u>left</u><em> </em>(I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all x \le -1.

5 0
3 years ago
Read 2 more answers
Can someone please write five paragraphs and a hook of why kids should sleep in more
Vlad1618 [11]

Answer:

Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

It is usually said that the mood in which you wake up is largely dependent on the type of sleep you have been in. This, in itself, is proof of the importance of sleep in our lives. While sleeping, our body finally gets its share of rest, and it also gets ample time to rejuvenate from all the wear and tear that it went through during the entire day. Not only this, the body is in its own working condition when we are sleeping, as this is the time when it supports the healthy functioning of the brain as well as physical attributes of our body. How many times have you been suffering from a headache, and then you slept for some time and found the pain to have vanished? This is the effect that a sound sleep session has on your mind as well as body.

Sleep is not only important for grown-up individuals and people who go to work, but it is also very essential for small babies and children in their growing-up years, as well. In small children, sleep supports the growth as well as development of their minds and bodies, and hence is a non- negotiable activity necessary for all human beings.

Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

It is usually said that the mood in which you wake up is largely dependent on the type of sleep you have been in. This, in itself, is proof of the importance of sleep in our lives. While sleeping, our body finally gets its share of rest, and it also gets ample time to rejuvenate from all the wear and tear that it went through during the entire day. Not only this, the body is in its own working condition when we are sleeping, as this is the time when it supports the healthy functioning of the brain as well as physical attributes of our body. How many times have you been suffering from a headache, and then you slept for some time and found the pain to have vanished? This is the effect that a sound sleep session has on your mind as well as body.

Sleep is not only important for grown-up individuals and people who go to work, but it is also very essential for small babies and children in their growing-up years, as well. In small children, sleep supports the growth as well as development of their minds and bodies, and hence is a non- negotiable activity necessary for all human beings.

3 0
2 years ago
Read 2 more answers
On a unit circle, the terminal point of 0 is (sqrt3/2,1/2)<br><br> What is 0?
san4es73 [151]

Answer:

The measure of \theta is 30°.

Step-by-step explanation:

In the statement, the angle has been misrepresented. The corrected statement is described below:

<em>"On a unit circle, the terminal point of </em>\theta<em> is </em>\left(\frac{\sqrt{3}}{2}, \frac{1}{2}  \right)<em>. What is </em>\theta<em>?"</em>

The measure of the angle (\theta), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form (x,y) is determined by the following inverse trigonometric function:

\theta = \tan^{-1}\left(\frac{y}{x} \right) (1)

If we know that x = \frac{\sqrt{3}}{2} and y = \frac{1}{2}, then the measure of \theta is:

\theta = \tan^{-1} \frac{\sqrt{3}}{3}

\theta = 30^{\circ}

The measure of \theta is 30°.

4 0
2 years ago
Read 2 more answers
Other questions:
  • _____controls involve establishing specific goals given metrics and then measuring to what extent these goals are being achieved
    9·1 answer
  • Rounded to the nearest hundred thousand to 400,000
    12·2 answers
  • A triangle has a perimeter of 48" and the dimensions of each side are given as x+3 4x-1 2x-3
    5·1 answer
  • The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation
    13·1 answer
  • Use mental math to solve the equation 1.60=0.04+s
    13·2 answers
  • 32/96 in its simplest form
    13·2 answers
  • B-3+4b=34 <br> Solve equation
    5·2 answers
  • the grocery store sells kumquats for $4.50 a pound and asian pears for $3.75 a pound. write an equation in standard form for the
    11·1 answer
  • The function y = a · bx models ____ for a &gt; 0 and 0 &lt; b &lt; 1.
    15·1 answer
  • Please help! Greatly appreciated
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!