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
ipn [44]
3 years ago
10

Ruby worked eight hours more than Isacc.and Svetlana worked 3 times as Ruby.Togethet they worked 150 hours.Find the number hours

each worked.
Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0
Ruby worked X + 8
Isaac worked X
Svetlana worked 3(X+8)
Let's combine all of that by putting it in an equation
X+8+x+3(x+8)=150
Do what's in parentheses first
x+8+x+3x+24=150
Now we add likes
X+x+3x+8+24=150
5x+32=150
We want x on one side of the equation & numbers on the other side
5x+32-32=150-32
5x=118
Solving for X
5x/5=118/5
X=23.6
Isaac worked 23.6
Ruby worked 8 more hours than Isaac so we add 8 to 23.6= 31.6
Svetlana worked 3 times Ruby so 3x31.6= 94.8
You might be interested in
Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm
VladimirAG [237]

Answer:

y=2x^2-4x-8

Step-by-step explanation:

<u>Factored form of a parabola</u>

y=a(x-p)(x-q)

where:

  • p and q are the x-intercepts.
  • a is some constant.

Given x-intercepts:

  • (1+√5, 0)
  • (1-√5, 0)

Therefore:

\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))

\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})

To find a, substitute the given point (4, 8) into the equation and solve for a:

\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8

\implies a(3-\sqrt{5})(3+\sqrt{5})=8

\implies4a=8

\implies a=2

Therefore, the equation of the parabola in factored form is:

\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})

Expand so that the equation is in standard form:

\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)

\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)

\implies y=2(x^2-2x-4)

\implies y=2x^2-4x-8

6 0
2 years ago
I NEED HELP ASAP! In a magic square, the sum of the numbers in each row, column, and diagonal is the same. Write and solve equat
Trava [24]

Answer:

a=22,\\b=31,\\c=13

Step-by-step explanation:

When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.

Sample solution:

a+25+28=16+25+34,\\\\a+28=16+34,\\a+28=50,\\a=\boxed{22}

16+b+28=16+25+34,\\b+44=75,\\b=\boxed{31}

34+c+28=16+25+34,\\c+28=41,\\c=\boxed{13}

8 0
3 years ago
$800 principal earning 7%, compounded annually, after 4 years
guajiro [1.7K]
The formula for compound interest is: A=P(1+r/n)^nt
<span>A = $ 1,048.64</span>
5 0
3 years ago
Read 2 more answers
Find the value of x
Alex

More information is needed
3 0
3 years ago
Read 2 more answers
A large smart phone company produces 15,000 smart phones per hour how long will it take this company to produce 300,000 smart ph
Kazeer [188]

20 h

Step-by-step explanation:

300,000 divided by 15,000 = 20 h

8 0
4 years ago
Read 2 more answers
Other questions:
  • Ab over 2 equal 2a minus 1,express a in terms of b
    8·1 answer
  • Solve the system of equations algebraically.<br><br> {Y=(x-2)^2+2<br> {Y+4=3x
    9·2 answers
  • 2/9 - 1/5 • x write an equivalent expression
    8·1 answer
  • A new car is purchased for 24900 dollars. The value of the car depreciates at 6.75% per year. To the nearest tenth of a year, ho
    9·1 answer
  • 14 bands volunteered but 7 played. How many lineups?
    12·1 answer
  • Write an equivalent expression by distributing the "_" sign outside the parentheses-(6p-7.2)
    6·1 answer
  • What is the answer?​
    8·1 answer
  • Here's a graph of a linear function. Write the equation that describes that function.
    5·1 answer
  • Two complex numbers are represented by c + d<img src="https://tex.z-dn.net/?f=i" id="TexFormula1" title="i" alt="i" align="absmi
    10·1 answer
  • Change 6.00pm to 24 hours clock time<br><br>use a colon <br><br>​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!