Answer:
(0,-8)
x=0
y=-8
Step-by-step explanation:
There are a couple of ways you can solve this I used what I think is called the elimination method
We first start by writing the equations in linear form (y=mx+b)
For the first one we have -12x-5y=40
we add 5y to both sides and subtract 40 to get
-12x-40=5y
divide by 5 to get
-12/5x-8=y
Then the second one we have
12x-11y=88
same deal here, add 11y and subtract 88 to get
12x-88=11y
divide by 11 and get
12/11x-8=y
We then set the two equations equal to each other and get
-12/5x-8=12/11x-8
We can add 8 to both sides and get
-12/5x=12/11x
Just by looking at it you can see that the only solution for x is 0
Plug in 0 to the first equation and get -12*0-5y=40
This means that -5y=40
Solve for y and get -8
Answer:
34 years
Step-by-step explanation:
To begin even finding this ages you would have to find the 2 numbers in which (when multiplied) equal 2015. The numbers I have found that are most reasonable include:
65 and 31.
65 x 31 = 2015
So the difference:
65 - 31 = 34
Answer:
-Noah could buy 10 tacos for $15.
-Jada's tacos were not the same price as Noah's tacos.
Step-by-step explanation:
You can use a rule of three to find the amount of tacos that Noah could buy with $15:
$6 → 4
$15 → x
x=(15*4)/6=10
At this rate, Noah could buy 10 tacos for $15.
Now, to find out if Jada's tacos were the same price as Noah's tacos, you have to find the price per taco in each case by dividing the amount paid by the number of tacos bought:
Noah: 15/10=1.5
Jada: 72/50=1.44
According to this, Jada's tacos were not the same price as Noah's tacos.
For the manager's store
Population size: 15
Arithmetic mean (μ): 37.6
Standard deviation (σ): 11,056
For the competitor's store
Population size: 15
Arithmetic mean (μ): 48,533
Standard deviation (σ): 28,356
For the manager's store the average is a better representation of the data since it does not have Outlier points in the box diagram. Also the median is close to the average.
For the competition store the average of the data collected is not as good representation of the data since they are dispersed from the mean with a standard deviation of 28.35. It also presents Outliers points in the box diagram, such as 112 which is very far from the average
Ten is mistakenly written by Tim in question.
Gabriel is making a mixture of compost and soil. In which he wants to mix 2 part compost to 10 parts potting soil. And he wants to end up with ten kilogram
It means compost is 2 pars out of 12 and potting soil is 10 parts out of 12
so, (2 / 12) x 10 kilogram of compost is used
= 1.66667 kilogram of compost Gabriel should use.
