Andre picked up almost 253 pounds of apples from a total of 840 pounds.
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given are Jane, Andre, and Maria. All of them are picking apples such that Andre picks three times as many pounds as Maria. Jane picks two times pounds as Andre and the total weight of apples is 840 pounds
Assume that Maria took (x) pounds of apples.
Then, Andre will pick (3x) pounds of apples.
Finally, Jane will pick up (6x) pounds of apples.
The total weight of apples is 840 pounds.
Therefore, we can model the situation as follows -
x + 3x + 6x = 840
10x = 840
x = 84
So, Maria took 84 pounds of apples.
Now, the apples picked up by Andre = 3x = 3 x 84 = 252 pounds of apples
Therefore, Andre picked up almost 253 pounds of apples from a total of 840 pounds.
To solve more questions on Equation modelling, visit the link below-
#SPJ2
Andre picks 252 pounds of apples.
Further explanation:
Jane, Andre and Maria pick apples such that the apples picked by Jane are denoted by J, the apples picked by Andre are denoted by A and the apples picked by Maria are denoted by M.
The total weight of apples is 840 pounds.
Therefore, this can be written as,
......
Andre picks three times as many pounds Maria then ..
Jane picks two times pounds as Andre then ..
Substitute 3M for A in the equation to obtain relation between J and M as,
Now, substitute 3M for A and 6M for J in equation (1) then we get,
Therefore, Maria picks 84 pounds of apples.
Substitute the obtained value of as 84 in equation as,
Therefore, Jane picks 504 pounds of apples.
Substitute the obtained value of as 84 in equation as,
Therefore, Andre picks 252 pounds of apples.
Thus, the total quantity that Andre picks is .
Learn more:
1. Learn more about the equation of the circle brainly.com/question/1952668
2. Learn more about the center and radius of circle equation brainly.com/question/9510228
3. Learn more about general form of the equation of the circle brainly.com/question/1506955
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear equations
Keywords: Linear equations, function, sets, real numbers, ordinates, abscissa, interval, open interval, closed intervals, semi-closed intervals, semi-open intervals, graph.
The price of the robotics kits after both discounts is $25.5
The price at which something is sold, after reducing some amount from the regular price, is called discount price.
Given that, you have a coupon for an additional 25% off the price of any sale item at the store. the store has put a robotics kit on sale for 15% off the original price of $40.
Here, two discounts are given, at 25% and at 15%
Therefore, the selling price (price after the discounts) = 40x(100-25)/100x(100-15)/100
= 40x75/100x85/100
= 51/2
= 25.5
Hence, the price after the discounts is $25.5
For more references on discount price, click;
#SPJ1
The equation of the vertical asymptote for the graph of y = 1/x - 2 is x = 2.
A vertical asymptote occurs when the denominator of a rational function (a function that can be written as the ratio of two polynomials) equals zero, but the numerator does not.
The equation is given in the question, as follows:
y = 1/x−2
We have to determine the vertical asymptote for the graph
In this case, the denominator is x, and when x = 2, the denominator equals zero.
However, since the numerator does not equal zero at x = 2, the graph will approach, but never touch the x-axis at that point, which creates a vertical asymptote.
Thus, the equation of the vertical asymptote for the graph of y = 1/x - 2 is x = 2.
Learn more about the vertical asymptote here:
#SPJ2
Answer:
27
Step-by-step explanation:
220-4=216
216/8=27
Answer: C
Step-by-step explanation:
In the quadrant IV, it is only a cos θ that is positive.
Given that tan θ = –8∕15
Where tan θ = opposite ÷ adjacent
Where opposite = 8 and adjacent = 15
We can find the hypothenus by using pythagorean theorem
Hypothenus = sqrt(15^2 + 8^2)
Hypothenus = sqrt(289)
Hypothenus = 17.
Sin θ = opposite ÷ hypothenus
Sin θ = 8/17
Since Sin θ is also negative in the fourth quadrant, therefore
Sin θ = - 8/17
Option C is correct.