Jane,Andre,and Maria pick apples. Andre picks three times as many pounds Maria. Jane picks two times pounds as Andre. The total weight of apples is 840 pounds. How many pounds of apples does Andre pick?

Answers

Answer 1
Answer:

Andre picked up almost 253 pounds of apples from a total of 840 pounds.

What is Equation Modelling?

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.

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Answer 2
Answer:

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,

{\text{J + A + M}} = 840                   ...... (1)\n

Andre picks three times as many pounds Maria then .{\text{A=3M}}.

Jane picks two times pounds as Andre then  .J = 2A.

Substitute 3M for A in the equation J = 2A to obtain relation between J and M as,

\begin{aligned}{\text{J}}&={\text{2A}}\n&= {\text{2}}\cdot{\text{3M}}\n&={\text{6M}}\end{aligned}

Now, substitute 3M for A and 6M for J in equation (1) then we get,

\begin{aligned} {\text{6M + 3M + M} &= 840}\n{\text{10M}& = 840}\n{\text{M}& = 84}\n\end {aligned}

Therefore, Maria picks 84 pounds of apples.

Substitute the obtained value ofM as 84 in equation J = 2A as,

\begin{gathered}{\text{J}}={\text{6}}\cdot {\text{84}}\n={\text{504}}\n\end{gathered}

Therefore, Jane picks 504 pounds of apples.

Substitute the obtained value of M as 84 in equation J = 6M  as,

\begin{gathered}{\text{A}}={\text{3}}\cdot {\text{84}}\n={\text{252}}\n\end{gathered}

Therefore, Andre picks 252 pounds of apples.

Thus, the total quantity that Andre picks is \boxed{{252}\text{ } \text{pounds}}.

Learn more:

1. Learn more about the equation of the circle brainly.com/question/1952668

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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.


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you have a coupon for an additional 25% off the price of any sale item at store. the store has put a robotics kit on sale for 15% off the original price of $40. what is the price of the robotics kits after both discounts?

Answers

The price of the robotics kits after both discounts is $25.5

What is a discount price?

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

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Firstly we need to count how much is 15% from $40:

40 * 15% =
= 40 * 15/100 =
= 40 * 3/20 =
= 2 * 3/1 =
= 2 * 3 =
= 6 [dollars]

So the kit costed $40 - $6 = $34 after the first general discount. Now the question is if the coupon relates to the original price or to the lowered price. We'll do both:

If it relates to the original price, we need to find how much is 25% of $40. We can do it in mind - it's $10. So with two discounts the price would be $40 - $6 - $10 = $24.

However, if it relates to the lowered price, we need to find how much is 25% from $34:

34 * 25% =
= 34 * 25/100 =
= 34 * 1/4 =
= 8.5 [dollars]

So the final price in such a situation would be $40 - $6 - $8.5 = $25.5.

What is the equation of the vertical asymptote for the graph below? y=1/x−2

Answers

The equation of the vertical asymptote for the graph of y = 1/x - 2 is x = 2.

What is a vertical asymptote?

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.

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1/x-2 Final result : 1 - 2x —————— x

Step by step solution :Step  1  : 1 Simplify — x Equation at the end of step  1  : 1 — - 2

three friends earned more than $200 washing cars. they paid their parents $28 for supplies and divided the rest of money equally. write an inequality to find possible amounts each friend earned. identify what your variable represents.

Answers

Let the original  amount they earned be x.

They earned more than $200, therefore  x > 200

They paid their parents $28, assuming all the parents got $28

So we remove 28 from both sides of the inequality

x -28> 200-28

Let y be the amount left after paying their parents, and  replace (x -28) with y in the inequality above.

 y> 200-28

y> 172

Amount each got, divide both sides of the inequality by 3.

y/3 > 172/3     

Let amount each got after dividing equally be z, replace (y/3) with z in the inequality above

z > 172/3

z > 57.33

Each got more than $57.33
28x+86≤200 because for supplies they divide the rest of money. that means, 200-28=172 so 172/2=86  now we gonna find the value of x.
 28x+86≤200 i am gonna subtract 86 both of side 28x+86-86≤200-86 to get value of x. 
28x≤114 divide 28 both of side to get value of x so it will be x≤4

220 students went on a field trip. eight buses were filled and 4 students traveled in car. how many students were in each bus?​

Answers

Answer:

27

Step-by-step explanation:

220-4=216

216/8=27

Given that tan θ = –8∕15 and θ is in quadrant IV, find sin θ. Question 19 options: A) 15∕17 B) –15∕17 C) –8∕17 D) 8∕17

Answers

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.

Really confused with this problem. It would be great if someone could help

Answers

(2n+12) + (3n+18) = 180
⇒5n+30=180
⇒5n=150
⇒n=30


x=2n+12
  =2(30)+12
  =72°