Answer:
Now, we’re going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we’ll pay.
Step-by-step explanation:
hope this helps
Alright, so to find the perpendicular version of a linear equation, do this:
if y=mx, then perpendicular y = -(1/m)x.
So, we can start with y = -1/4x + b. But now we need to know which value of b would make this contain the points (2,3). Let's solve!
3 = -1/4(2) + b
3 = -0.5 + b
b = 3.5
An equation perpendicular to y = 4x - 3 that contains the point (2,3) is y = -1/4x + 3.5.
Answer:
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Step-by-step explanation:
We solve this question working with the probabilities as Venn sets.
I am going to say that:
Event A: Taking a math class.
Event B: Taking an English class.
77% of students are taking a math class
This means that
74% of student are taking an English class
This means that
70% of students are taking both
This means that
Find the probability that a randomly selected student is taking a math class or an English class.
This is , which is given by:
So
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
Find the probability that a randomly selected student is taking neither a math class nor an English class.
This is
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Answer: SAS
Step-by-step explanation:
Here, the given triangles AEB and ADC,
B is the mid point of the line segment AC,
⇒ AC = 2 AB,
Also, m∠A = 30°, AD = 8, ED = 4, DC = 6,
⇒
Also,
Here, ∠EAB of triangle AEB is congruent to the corresponding ∠DAC of another triangle ADC and the sides that include this angle are proportional,
Thus, by SAS postulate of similarity,
⇒ Third option is correct.
Answer:
The pints of each of the two existing types of drinks are 22 and 88 respectively.
Step-by-step explanation:
We are given that the Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice, and the second type is 95% pure fruit juice. The company is attempting to produce a fruit drink that contains 90% pure fruit juice.
Let the first type of fruit drink pints in the mixture be 'x' and the second type of fruit drink pints in the mixture be 'y'.
So, according to the question;
- <u>The first condition</u> states that we have to make 110 pints of a mixture of two types that is pure fruit juice, that means;
x + y = 110
x = 110 - y ---------------- [equation 1]
- <u>The second condition</u> states that the first type is 70% pure fruit juice, and the second type is 95% pure fruit juice, that means;
y = 88
Now, putting the value of y in equation 1 we get;
x = 110 - y
x = 110 - 88 = 22
Hence, the pints of each of the two existing types of drinks are 22 and 88 respectively.