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
lianna [129]
3 years ago
13

One month, Ruby worked 6 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 126 hour

s. Find the number of hours each person worked.
Mathematics
2 answers:
olganol [36]3 years ago
8 0

Answer: Ruby: 22 hours, Isaac: 16 hours & Svetlana: 88 hours.

Step-by-step explanation:

Let's begin by assigning letters to represent our unknowns:

R (hours Ruby worked)

I (hours Isaac worked)

S (hours Svetlana worked)

Now let's see if we can express all three unknowns in terms of one unknown, according to the facts given in the problem:

R = I + 6 (Ruby worked 6 more hours than Isaac)

S = 4R (Svetlana worked 4 times more hours than Ruby)

We can see that we can express the hours Isaac worked in terms of Ruby:

R = I + 6, therefore, I = R - 6

Now we have all three unknowns expressed in terms of one unknown (R). Now we can write an equation to express the given sum of their worked hours (126) in terms of our expressions for one unknown (R):

R + (R - 6) + 4R =126

Now let's solve our equation for the value of R and then use our expressions for R to calculate the values for I and S:

R + R - 6 + 4R = 126

6R - 6 = 126

6R = 126 + 6

6R = 132

R = 132/6

R = 22 (hours Ruby worked)

I = R - 6

I = 22 - 6

I = 16 (hours Isaac worked)

S = 4R

S = 4(22)

S = 88 (hours Svetlana worked)

Paladinen [302]3 years ago
6 0

Answer/Step-by-step explanation:

Let x hours be the number of hours Issac worked

    x+6 hours be the number of hours Ruby worked

   4(x+6) hours be the number of hours Svetlana worked.

x + x + 6 + 4(x+6) = 126

x + x + 6 + 4x +24 = 126

                  6x +30 = 126

                         6x = 96

                           x = 16

Therefore, Issac worked 16 hours.

                 Ruby worked 16+6 = 22 hours

                 Svetlana worked 22 × 4 = 88 hours.

<u><em>If helpful, please mark as brainliest! =)</em></u>

You might be interested in
A. -5<br> B. 4<br> C. -4<br> D. 5
Nostrana [21]
The answer is D. In the function y=4/(x-5), A value of 5 would make the denominator 0. This is undefined, so 5 is excluded.
4 0
3 years ago
How many solutions exist for the given equation? StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x
Firlakuza [10]

Answer:

One solution x = 2

Step-by-step explanation:

Given the equation:

\dfrac{1}{2}(x+12)=4x-1

Multiply this equation by 2:

2\cdot \dfrac{1}{2}(x+12)=2\cdot (4x-1)\\ \\x+12=2(4x-1)

Use distributive property:

x+12=8x-2

Combine the like terms:

x+12=8x-2\\ \\x+12-12=8x-2-12\\ \\x=8x-14\\ \\x-8x=8x-14-8x\\ \\-7x=-14\\ \\7x=14\\ \\x=2

Thus, this equation has one solution x = 2

7 0
3 years ago
Read 3 more answers
The number of books (b) in a preschool classroom is proportional to the number of children (c) enrolled.
Fofino [41]
The answer is c i believe
7 0
2 years ago
Read 2 more answers
Mr. Sanchez’s class sold fruit pies for $1.73 each and Mr. Kelly’s class sold bottles of fruit juice for $1.44 each. Together, t
-Dominant- [34]

Answer:

p = 39       f = 44    

Step-by-step explanation:

p = $ 1.73

f = $ 1.44

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

p + f = 83

1.73 p + 1.44 (83 - p) = $ 130.83

p = 39 (amount of times fruit pies were sold).

Therefore,

<em>p = 39</em>

<em>f = 44</em>

4 0
1 year ago
Which expression gives the solutions -5x+2x^2=-6x?(1pt)
irina [24]
This is the concept of algebra, the solution of the given expression will be given as follows;
-5x+2x²=-6x
adding 5x on both sides we get
5x-5x+2x²=-6x+5x
2x²=-x
divide both sides by 2
(2x²)/2=-x/2
x²=-x/2
divide both sides by x
(x²)/x=-x/(2x)
x=-1/2
the answer is x=-1/2
8 0
3 years ago
Other questions:
  • PLEASE HELP 46 POINTS Use composition of functions to determine whether or not f(x) and g(x) are inverses of each other. Show al
    7·1 answer
  • X - 5 &gt; -10. give the solution
    8·2 answers
  • PLEASE HELP!!!! Find the value of -7 - 8 - (-8) - 7. 0 14 -14 -30
    10·2 answers
  • PLEASE HELP!!!!! BRAINLIEST!! I will give brainliest if you answer, I will also give brainliest ON ALL QUESTIONS!! if you go to
    12·1 answer
  • 10 lbs to 6 lbs need percentage<br>please give step by step
    15·2 answers
  • Please answer 1 - 3! thank you!
    8·1 answer
  • The sum of -6 times a number x and 9 is at least 27. what are the possible values of the number​
    15·1 answer
  • 1/5 of 45 is what number?
    13·1 answer
  • How are the values of -4^3 and 4^-3 alike and how do they differ?
    9·1 answer
  • If there are 300 houseflies in the study, how many of them will live longer than 21 days?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!