1. We are given:
The only a which squared gives you 64 is 8. The perimeter of an 8 by 8 square will be 32. Half of that is 16. Now, let's see what we can do. We can set up:
Obviously, each side length has to be 4. So, the area of this square will be
16 units².
2. Let n equal her son's age. So, her age right now will be (S = her age):
1 year ago it was:
We have 2 equations, let's substitute. We can rewrite this as:
Solve for n:
We know the value of n, which is her son's age. So, her son is
1/15 of a year old or about 24 days old.
Answer:
0.21
Step-by-step explanation:
Given that Jane is a better tennis player than Jack is. If the probability that Jane will beat Jack in any given game is 0.7,
Probability for Jane beating Jack is 0.7 and hence
Probability for Jack beating Jane is 0.3
We find that each game is independent of the other
If two games are played
Probability that they will each win one game if they play two games
= Prob that Jack wins one game * Prob that Jane wins one game
= 0.7*0.3
= 0.21
(Since if A and B are independent events P(AB) = P(A) *P(B)
Answer:
7.2
Step-by-step explanation:
Given:
Fabian Harvey says 10 pounds of tomatoes from his garden
He sets aside 2.8 pounds of tomatoes to make spaghetti sauce
Question asked:
How many batches of soup can Fabian make ?
Solution:
By subtracting:
Total pounds of tomatoes = 10
He sets aside = 2.8
Remaining pounds of tomatoes = 10 - 2.8 = 7.2 pounds of tomatoes
Thus, 7.2 pounds of tomatoes of batches of soup Fabian can make.
Answer:
$1.50
Step-by-step explanation:
5.35-0.85=4.50 4.50/3=1.50
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Greetings!</h2>
Answer:
y = 
Step-by-step explanation:
First, we need to rearrange the equation to make it y = mx + c
4x - y = 3
y + 3 = 4x
y = 4x -3
So the slope of the line is 4.
The slope of a line perpendicular to an equation is:
So the slope of the perpendicular line is:
= -0.25
Now to find the equation of a line you can use the following equation:
y - y₁ = m(x - x₁)
Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:
y₁ = 6
x₁ = -5
m =
y - 6 = (x - - 5)
To get rid of the fraction we need to multiply the whole equation by 4:
4y - 24 = -1(x - - 5)
The two negatives cancel out:
4y - 24 = -1(x + 5)
Multiply the brackets out:
4y - 24 = -x + 5
Now, to rearrange the formula back into y = mx + c
Move the -24 over to the other side making it a +24:
4y = 2x + 5 + 24
4y = 2x + 29
Divide everything by 4:
y = 
y =
<h2>Hope this helps!</h2>
