The sum of two numbers is 30 and their difference is 2. Find the two numbers by writing and solving asystem of equations
Answers
The equations you need to solve are:
x + y = 30
x - y = 2 ==> (redefine in terms of y) y = x - 2
substitute into first equation
x + x - 2 = 30
2x = 30 + 2
x = 32/2 = 16
16 + y = 30
30 - 16 = y = 14
x = 16
y = 14
And that's how that is done.
The correct answer is:
The numbers are 14 and 16.
Explanation:
Let x and y represent the numbers. Since the sum of the numbers is 30, this gives us the equation
x+y = 30.
Since the difference of the numbers is 2, this gives us the equation
x-y = 2.
This gives us the system
To solve this, we will eliminate one variable. Since the coefficients are all the same, but the y-variables have different signs, we will eliminate them by adding the equations together:
Divide both sides by 2:
2x/2 = 32/2
x = 16.
Substitute this back into our first equation:
16+y=30
Subtract 16 from each side:
16+y-16=30-16
y=14
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Your mother has left you in charge of the annual family yard sale. Before she leaves you to your entrepreneurial abilities, she explains that she has made the job easy for you: everything costs either $1.50 or $3.50. She asks you to keep track of how many of each type of item is sold, and you make a list, but it gets lost sometime throughout the day. Just before she’s supposed to get home, you realize that all you know is that there were 150 items to start with (your mom counted) and you have 41 items left. Also, you know that you made $227.50. Write a system of equations that you could solve to figure out how many of each type of item you sold.A) x + y = 109(1.5)x + 227.50 = (3.5)yB) x + y = 109(3.5)x + 227.50 = (1.5)yC) x + y = 41(1.5)x + 227.50 = (3.5)yD) x + y = 109(1.5)x + (3.5)y = 227.50E) x + y = 150(1.5)x + (3.5)y = 227.50F) x + y = $3.50(1.5)x + (3.5)y = 227.50
(8 7/8 + 2 1/3 + 4 1/4) - (3 3/4 - 1 1/2)
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A) rational.
B) imaginary.
C) an integer.
D) irrational.
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The product of two rational numbers is another rational number.
The product of one irrational number and any other number is
irrational, even if the other one is rational.
The product of any two real numbers is never imaginary,
whether either or both of them is rational or irrational.
The product of two numbers is sometimes an integer
and sometimes not an integer.
hope it helps~
Answers
Answers
Answer:MEAN
Step-by-step explanation:Mean is a measure of central tendency it is sometimes referred to as a average of a set of numbers.The mean can also be described as the central value of a discrete set of values or numbers, the formula for Arithmetic mean is the sum of the values or number divided by the number of values or outcome.
Normal distribution is a statistical term which describes a set of values or numbers whose symmetric, unimodal, and asymptotic, and the mean, median, and mode are all equal.
Answers
Answer:
The solution of inequality as
Step-by-step explanation:
Given inequality 0.2(x + 20) – 3 > –7 – 6.2x
We have to solve the given inequality
Consider 0.2(x + 20) – 3 > –7 – 6.2x
Multiply both side by 10, we have
on simplifying, we get,
Expand by multiplying 2 , we get,
Subtract 10 both side, we get,
Simplify, we get,
Add 62x both side, we get,
Simplify , we get,
Divide both side by 64, we get,
Simplify , we get,
Thus, the solution of inequality as
Answers
175/12 = 14.58 or 15 cheesecakes
Explanation
Thus, you have 175 visitors. = 175gst
12 GST for one cheesecakes
A ratio should be set up so that the units cancel.
1 cheesecakes x 175gst c
————————
12 gst
Here, the GST is cancelled, leaving you with cheese cake, making 175/12 equal to 14.58 or 15.
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1 cheeseck= 12 gst
Set up you ratio so that your units cancel.
175gst x 1 cheese c
----------------
12 gst
Here the gst cancel and you are left with cheese cake so
175/12 = 14.58 or 15