Answer:
answered
Step-by-step explanation:
A) there y- coordinates are same . This means that the points lie on the x- axis only.
b) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units.
c) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units
Answer:
1/7
Step-by-step explanation:
If one child was born on a Monday, then we don't have to consider that when solving the question, as it asks if both children were born on a Monday.
Thus, we only need to find the probability that the second child is born on a Monday. Since there are 7 days in a week and equally likely that the child is born on any day, then the probability of the child being born on a Monday would be 1/7.
![\bf \begin{array}{lccclll} &quantity(L)&concentration& \begin{array}{llll} concentrated\\ quantity \end{array}\\ &-----&-------&-------\\ \textit{15\% juice}&x&0.15&0.15x\\ \textit{10\% juice}&y&0.10&0.10y\\ -----&-----&-----&-----\\ mixture&5&0.14&(5)(0.14) \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blccclll%7D%0A%26quantity%28L%29%26concentration%26%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Aconcentrated%5C%5C%0Aquantity%0A%5Cend%7Barray%7D%5C%5C%0A%26-----%26-------%26-------%5C%5C%0A%5Ctextit%7B15%5C%25%20juice%7D%26x%260.15%260.15x%5C%5C%0A%5Ctextit%7B10%5C%25%20juice%7D%26y%260.10%260.10y%5C%5C%0A-----%26-----%26-----%26-----%5C%5C%0Amixture%265%260.14%26%285%29%280.14%29%0A%5Cend%7Barray%7D)
whatever the amounts of "x" and "y" are, they must add up to 5Liters
thus x + y = 5
and whatever the concentrated quantity is in each, they must add up to (5)(0.14)
notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something
thus
![\bf \begin{cases} x+y=5\implies \boxed{y}=5-x\\\\ 0.15x+0.10y=(5)(0.14)\\ ----------\\ 0.15x+0.10\left(\boxed{5-x} \right)=(5)(0.14) \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0Ax%2By%3D5%5Cimplies%20%5Cboxed%7By%7D%3D5-x%5C%5C%5C%5C%0A0.15x%2B0.10y%3D%285%29%280.14%29%5C%5C%0A----------%5C%5C%0A0.15x%2B0.10%5Cleft%28%5Cboxed%7B5-x%7D%20%20%5Cright%29%3D%285%29%280.14%29%0A%5Cend%7Bcases%7D)
solve for "x", to see how much of the 15% juice will be needed
what about "y"? well, y = 5 - x
Answer:
Answer C
Step-by-step explanation:
The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.