The product of two consecutive positive integers is 27 more than 5 times the larger
Answers
x+1-larger
x(x+1)=5(x+1)+27
x^2+x=5x+5+27
x^2-4x=32
x^2-4x+4=32+4
(x-4)^2=36
x-4=6 X-4=-6
x=10 X=-2
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Find the diagonal of a square whose area is 64 M2
A^2 – a – 20 factor completely
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35×20%= 7. Alice has seven cars
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Answer:
Explanation:
We are given, that in 2010, the United States national debt was estimated to be nearly 13,000,000,000,000 dollars.
We are required to find the national debt in scientific notation. The scientific notation is used to represent either very small number or very large number.
The scientific form of the given number is:
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Answer:
Step-by-step explanation:
we are to distinguish between
dependent variable independent variable
vs
response variable explanatory variable
An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.
An explanatory variable is a type of independent variable but not fully independent but depends on some factors.
Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.
Answers
15 students per week
Each hourly student earns them $40 and there are 15 students, so this is multiplication.
40 * 15 = 600 per week
There are 4 weeks per month to earn 600 each week, this is again multiplication.
600 * 4 weeks = 2400 per month
Out of their earned 2400 they must pay for their overhead, the building rent
2400 - 400 = 2000 profit
They are left with $2000 between them.
Answer:
$4400
Step-by-step explanation:
$40 per hour
15 x 40 = 600
Because 'each' of them had 15 students, 600 x 2 = 1200
There are 4 weeks per month to earn 1200 each week, this is again multiplication.
1200 * 4 weeks = 4800 per month
Out of their earned 4800 they must pay for their overhead, the building rent
4800 - 400 = 4400 profit
They are left with $4400 between them.
x + y + z = 6
2x + 4y - z = 7
2x - 4y + 2z = 0
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Final answer:
To solve the system of equations, we can use the substitution method. The solution to the system of equations is x = 1, y = 2, and z = 3.
Explanation:
To solve the system of equations algebraically, we can use the method of substitution or elimination. Let's use substitution method:
- From the first equation, we can solve for x to get x = 6 - y - z.
- Substitute the value of x in the other two equations.
- After substituting, solve the resulting two equations to find the values of y and z.
- Once y and z are found, substitute them back into the first equation to find the value of x.
The solution to the system of equations is x = 1, y = 2, and z = 3.
Learn more about Algebra here:
#SPJ1
Answers
Answer:
6/20, 15/50, 9/30, 30/100, 12/40, 18/60....
Step-by-step explanation:
Its just multiplying the fraction by any whole number.
Make sure to do both the numerator and the denominator!
(hope this helps)