B.
When you simplify the equation with the 180 surface area, you get the sqrt(30). This does not simplify any further.
When you simplify the equation with the surface area of 120, you get sqrt(20), which simplifies further to 2sqrt(5).
Then just subtract the second from the first.
Answer:
10, 20
Step-by-step explanation:
x = larger number
y = smaller number
...
x = 10+y
5x=40+6y
...
Substitution of x into the second equation
5(10+y)=40+6y
50 + 5y = 40 + 6y
...
Isolate y
5y - 6y = 40 - 50
-y = -10
Divide both sides by -1
y=10 is the smaller number
...
Rearrange x = 10+y to y = x-10
Substitute into 5x=40+6y
5x = 40 + 6(x-10)
5x = 40 + 6x - 60
...
Isolate x
5x - 6x = 40 - 60
-x = -20
Divide both sides by -1
X=20 is the larger number
Answer:
1 and 7/12 or 1.583
Step-by-step explanation:
Answer:
52.48x ≤ 288.64
x≤5.5, x=5
Step-by-step explanation:
First off, we must find out how much money he has available after buying the bike, reflectors and gloves:
Total spent = (price of bike)+3(price of reflectors)+(price of gloves)
=233.09+3(16.38)+29.13
=311.36
600-311.36=288.64, so he has $288.64 left to spend on outfits.
The cost of x amount of outfits is found by multiplying the amount of outfits, x, by the cost per outfit, 52.48: 52.48x. Since he can only spend up to $288.64, 52.48x must be less than or equal 288.64:
52.48x ≤ 288.64
To solve, divide both sides by 52.48:
x≤5.5
(Since he cant buy half of a product, x's maximum value is 5)
The correct answer is option A. Which is the solution of the given equation will be (15,15).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are solved as:-
a - 1.2b = -3 or a = -3 + 1.2b
0.2a + 0.6b = 12
Put the value of a from equation 1 to the equation second.
0.2 ( -3 + 1.2 b) + 0.6b = 12
-0.6 + 0.24b + 0.6b = 12
0.84b = 12 + 0.6
0.84 b = 12.06
b = 15
Put the value of b in the first equation to find the value of a.
a = 1.2b - 3
a = (1.2 x 15) - 3
a = 15
Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).
To know more about equations follow
brainly.com/question/2972832
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