Equation:
2 answers:
Answer:
x =
Step-by-step explanation:
To solve for x, we need to isolate it [get it alone on one side]
We should start by simplifying (combining the like-terms of our equation):
5 + 5 = 5x + 5 - 2
10 = 5x + 3
- 3 - 3 (subtract 3 from both sides to isolate x)
7 = 5x
÷5 ÷5 (divide both sides by 5 to find "1"x)
So, x =
(x = 7/5)
hope this helps!!
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Answer/Step-by-step explanation:
Given:
When Jada took 8 steps, Noah took 10 steps
When Jada took 12 steps, Noah took 15 steps
a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:
From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.
Use this ratio to create a table of 3 pairs of values as shown below.
Jada's Steps (x) ===> Noah's steps (y)
4 ===> 5
8 ==> 10
12 ==> 15
b. The graph of that shows this relationship has been attached below. Check the attachment.
c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.
Thus,
Constant of proportionality (k) = 15/12 = ⁵/4
This means, for every 5 steps taken by Noah, Jada takes 4 steps.
This relationship is represented by the equation, y = ⁵/4x.
The ⁵/4 in the equation is the constant of proportionality of their relationship.
d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.
In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.
In the table, the constant of change in each pair is ⁵/4 all through.
Record of june temperature of last 50 years
Probability of June temperature being above 80° F from last 50 years
It means , out of 30 days ,there are only 20 days , in which temperature is above 80°F.
⇒Probability that it will be above 80° F for 20 or more days this June
where, x is the number of extra days after 20 days in month of june, when temperature is above 80°F.
Value of this Probability will be in between
Now, what Azul wants
To find the probability that it will be above 80° F for 20 or more days this June.
The Simulation given is
⇒There are 30 days in June. If we use a number cube with the numbers 1-6 and assign 1-4 as a temperature above 80° F and 5-6 as a temperature 80° F or below.
Total number of numbers on number cube ={1,2,3,4,5,6}
Favorable Outcome={1,2,3,4}=Temperature above 80° F
Temperature 80° F or below ={5,6}
⇒Probability of getting number {1,2,3,4} on the number cube when rolled once,that is Temperature above 80° F
⇒Probability of getting number {5,6} on the number cube when rolled once, that is Temperature 80° F or below
This is Incorrect Simulation, as there are chances that , there can be more than 20 days out of 30 days when Temperature goes above 80° F.But Here we have got Probability of temperature being above 80° F for 20 days only, not more than 20 days, which is
Not,a number
.