Answer:
Yes
Step-by-step explanation:
If you use the Pythagorean theorem you will see that it is indeed a right triangle.
With the given information, we can create several equations:
120 = 12x + 2y
150 = 10x + 10y
With x being the number of rose bushes, and y being the number of gardenias.
To find the values of the variables, we can use two methods: Substitution or Elimination
For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:
We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:
-10(120 = 12x + 2y)
12(150 = 10x + 10y) => Notice how one of these is negative
Multiply out:
-1200 = -120x - 20y
+ 1800 = 120x + 120y => Add these two equations together
---------------------------------
600 = 100y
Now we can solve for y:
y = 6
With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:
120 = 12x + 2y => 120 = 12x + 2(6)
Now we can solve for x:
120 = 12x + 12 => 108 = 12x
x = 9
So now we know that x = 9, and y = 6.
With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.
To find their average miles per hour we can divide the total miles by the hour used:
4 2/3 ÷ 1 2/3
=4x3+2/3 ÷ 1x3+2/3
=14/3 ÷ 5/3
In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.
=14/3 x 3/5
Factorize 3 in both amounts:
=14/1 x 5/1
=14/5
=2.8 miles/hour
Therefore their average speed is 2.8 miles/hour.
Hope it helps!
Answer:
-7
Step-by-step explanation:
with what? you need to explain whats going on in order to get the help you need!
