Answer:
(0, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y + 5x = 1
5y - x = 5
<u>Step 2: Rewrite Systems</u>
y + 5x = 1
- Subtract 5x on both sides: y = 1 - 5x
<u>Step 3: Redefine Systems</u>
y = 1 - 5x
5y - x = 5
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitution in <em>y</em>: 5(1 - 5x) - x = 5
- Distribute 5: 5 - 25x - x = 5
- Combine like terms: 5 - 26x = 5
- Isolate <em>x</em> term: -26x = 0
- Isolate <em>x</em>: x = 0
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 5y - x = 5
- Substitute in <em>x</em>: 5y - 0 = 5
- Subtract: 5y = 5
- Isolate <em>y</em>: y = 1
Answer:
54minutes
Step-by-step explanation:
Let the time taken to clean up be t
Let the number of people cleaning be n
If the time it takes to clean up after an anniversary party varies inversely as the number of people cleaning then;
t = k/n
k is the constant of proportionality
If 3 people work together to clean, and took them 90 minutes, this means
at t = 90, n=3
Substitute
90 = k/3
k = 3×90
k = 270
To et the time it will take 5people to clean, the will say;
t =k/n
t =270/5
t = 54 minutes
Hence it will take 5 people 54minues to clean
Answer:
The value of the variable 'b' is 3 and GH is 9
Step-by-step explanation:
Given:
H is between G and I
Such that G - H - I
To Find:
GH = ?
Solution:
On Substituting HI we get
Substituting 'b' in HI and GI we get
Now, by Line Addition Property we get
Substituting 'HI' and 'GI' we get
The value of the variable 'b' is 3 and GH is 9
Answer:
536,401
Step-by-step explanation:
the 5 is in the ten thousands column in 654,321. you have to times the number by ten to see what column it would be in, 6,543,210. The 5 is now in the hundred thousands column. The only number there with the 5 in in the hundred thousands column is 536,401.
Answer:
(D)
Step-by-step explanation:
The given fractions are:
.
We have to find the product of the given fractions, that is:
=
Simplifying the mixed fractions, we get
=
=
Converting the answer into mixed fraction, we get
=
which is the required answer.
