The sum of two numbers is 100 and their difference is 80, what are the two numbers
Answers
x=90
y=10
Explanation:
Let x be equal to the first number.
Let y be equal to the second number.
We know that the sum of the two numbers is 100, so we can say that x+y=100.
We also know that the difference of the two numbers is 80, so we can also say that x-y=80
And now we have our two equations:
x+y=100
x-y=80
To find x and y, we first solve for one of the variables and plug it into one of the two equations to solve for the other. In this case, the easiest way to approach this question is to add both of the equations to cancel y out and solve for x (please check the picture attached for a better representation).
x+y=100
x-y=80
-> 2x=180
2x=180
Divide both sides by 2
2x/2=180/2
x=90
Now that we have found the value of the first number, x, we can plug it in to either of our two original equations to solve for y.
x+y=100
90+y=100
Subtract both sides by 90
90+y-90=100-90
y=10
Therefore, the value of x is 90 and the value of y is 10. Their sum is 100 and their difference is 80.
I hope this helps!
Answer:
The numbers are 90 and 10.
Step-by-step explanation:
Let the two numbers are x and y.
It has been given that sum of two numbers is 100. Hence, we have the equation,
x + y = 100 .........(i)
Now, the difference of these two numbers is 80. Thus, second equation is
x - y = 180......(ii)
Add equation (i) and (ii)
x + y + x - y = 100 + 80
2x = 180
Divide both sides by 2
x = 90
Substitute this value in (i)
90 + y = 100
y = 100- 90
y = 10
Therefore, the numbers are 90 and 10.
#Learn More:
The sum of two numbers is 450 and the smaller number is 120. What is the product?
Step-by-step explanation:
- 90 and 10
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What is the relative error of a distance given as 550cm plus or minus 24.2cm?
_______ km
Answers
Length = 4,450.5 meters
Width = 2,890 meters
1 kilometer = 1,000 meters
Length: 4,450.5 meters * 1km/1,000 meters = 4,450.5 km/1,000 = 4.4505km
Width: 2,890 meters * 1km/1,000 meters = 2,890 km/1,000 = 2.89 km
4.4505 km - 2.89 km = 1.5605 km
The length of the fence is 1.5605 km longer than the width of the fence.
B.{-2,-4}
C.{12,14}
D.{-12,-14}
E.{0,5}
Answers
Answer:
Option A is correct
{2, 4} is, the function's domain.
Step-by-step explanation:
Domain is the set of all values of x for which function f(x) is defined.
Range is the set of all complete value of f.
Given the function:
The range of the function is {7, 9}
When f(x) = 7
then;
Subtract 5 from both sides we have;
x = 2
When f(x) = 9
then;
Subtract 5 from both sides we have;
x = 4
⇒Domain = {2, 4}
Therefore, the function's domain is, {2, 4}
f(x)= x+5
y=x+5
7=x+5
x=2
---------
y=x+5
9=x+5
x=4
Answers
solve for x
replace x with f inverse
replace y with x
so
first minus 2 both sides
y-2=√(2x-3)
square both sides
y^2-4y+4=2x-3
add 3 to both sides
y^2-4y+7=2x
divide both sides y 2
(y^2-4y+7)/2=x
x turns to f inverse and y turns to x
f(x)⁻¹=
looks like they didn't want to expand the binomial
y=
answer si A
Answers
Answer:
s=5/14
Step-by-step explanation:
cancel equal terms on both sides of the equation
0=-2 x |14s-5|
swap the sides of the equation
-2 x |14s-5|=0
divide both sides of the equation by -2
|14s-5|=0
when the absolute value of 14s-5= 0, then 14s-5=0
move the constant to the right-hand side and change its sign
14s=5
now divide both sides of the equation by 14
s=5/14
Answers
The number of bags of fertilizer should be purchased to cover a rectangular lawn 260 feet by 120 feet is 9.53 bags.
First step is to find the area of the lawn
Area = 260 ft × 110 ft
Area = 28600 ft2
Second step is to calculate how many bags of fertilizer
Number of bags=Area/3,000ft
Number of bags=28600 ft / 3000 ft
Number of bags= 9.53 bags
Inconclusion the number of bags of fertilizer should be purchased to cover a rectangular lawn 260 feet by 120 feet is 9.53 bags.
Learn more about area here:brainly.com/question/1631786
Now to find how many bags of fertilizer are needed, divide 31,200 by 3000. This equals 10.4, but must be rounded up to 11bags of fertilizer.
C. 200c
D. 200+c