Answer and Step-by-step explanation: Let \displaystyle xx be the amount Peter picked. Then Mary and Lucy picked \displaystyle 2x2x and \displaystyle x+2x+2, respectively. So
\displaystyle x+2x+x+2=26x+2x+x+2=26
\displaystyle 4x=244x=24
\displaystyle x=6x=6
Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.
Peter picked 6 kilograms of chestnuts.
Mary picked 12 kilograms of chestnuts.
Lucy picked 8 kilograms of chestnuts.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Let Peter pick x kilograms of chestnuts.
Given that Mary picked twice as many chestnuts as Peter
So, Mary picks 2x kilograms of chestnuts.
And Lucy picks x + 2 kilograms of chestnuts
Together the three of them picked 26 kg of chestnuts
So, x + 2x + x + 2 = 26
4x + 2= 26
4x= 26-2
4x= 24
4x/4= 24/4
x= 6
Thus, Peter picked 6 kilograms of chestnuts.
⇒ 2x
⇒ 2 (6)
⇒ 12
Thus, Mary picked 12 kilograms of chestnuts.
⇒ x + 2
⇒ 6 + 2
⇒ 8
Thus, Lucy picked 8 kilograms of chestnuts.
Learn more about Arithmetic operations here:
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The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?
Answer:
The angle is approximately [tex]31^{o}[/tex].
Step-by-step explanation:
The description i the given question can be represented with the sides of a right angled triangle.
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
In the question, opposite side = 60 feet, and adjacent side = 100 feet.
Tan θ = [tex]\frac{60}{100}[/tex]
= 0.6
θ = [tex]Tan^{-1}[/tex] 0.6
= [tex]30.964^{o}[/tex]
θ = [tex]31^{o}[/tex]
The angle of elevation from the end of the shadow to the top of the pole is [tex]31^{o}[/tex].
Need help asap please
Answer:
the 4th one hope this helps
Arya saves 30% of his montly paycheck for college. He earned $270 lst month. How much money did Arya save for college?
Answer:
she saved 900 dollars
Step-by-step explanation:
30/100=270/?
30x9=270
100x9=900
Help me out with this question (geometry)
Answer:
116
Step-by-step explanation:
13x-1 = 2(6x+4)
13x-1 = 12x+8
x=9
help me asap now pls
Answer:
b=60a
Step-by-step explanation:
If light travel at 3 • 10^8 meters per second. How far can light travel in one minute?
Write your answer in scientific notation.
Answer:
300,000,000 per minute
Step-by-step explanation:
3*10⁸
10⁸ = 100,000,000
3*100,000,000 = 300,000,000
difference between -20 and -17
Answer:
-3
Step-by-step explanation:
because it says difference and differences means subtract so -20-(-17)=-3
The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%
Answer: 50%
Step-by-step explanation:
The shaded portion is half of 100
Answer: 50%
Step-by-step explanation: Since the tape diagram in total represents 100%, and half of the tape diagram is shaded, this means 50% is shaded.
someone pls help me with this problem , in a rush !!
Answer:
2.DB=7.5+7.5=15cm
3.DV=12.75+12.75=25.5
Step-by-step explanation:
Pls help me this is 7th grade math
Answer:
118 degrees
Step-by-step explanation:
180-62 = 118
what is 1/2 x 60 and what is 3/10 x 1,000
1/2 x 60 = 30 3/10 x 1000 = 300
cancel the common factor of 2 simpplify the expression
Answer:
1/2 x 60= 30 and 3/10 x 1,000= 3,000
Step-by-step explanation:
What is f(-3) if f(x) = 1/3x
Answer:
10
Step-by-step explanation:
I did this before and i got it right
sketch the graph y=x^2+2x+3, indicating clearly the coordinates of any intersection and the coordinates of axes
Angle 1 and Angle 2 are a linear pair. Angle 1=x-15, and angle 2=x+77. Solve for x then find the measure of each angle.
A ski lift makes a 35° angle of elevation with the ground and takes passengers on a 6,550-foot ride up a mountain. Charlotte needs to figure out the elevation of the lift. Which equation and diagram can be used to model this problem?
Answer:
Top right one is the answer
Step-by-step explanation:
B :)
The elevation of the lift is equivalent to 11293.1 ft.
What is the angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
Given is that a ski lift makes a 35° angle of elevation with the ground and takes passengers on a 6,550 foot ride up a mountain.
Assume the elevation to be [x] ft. We can find the elevation as -
sin (35°) = (6550/x)
x = {6550/sin(35°)}
x = (6550/0.58)
x = 11293.1 ft
Therefore, the elevation of the lift is equivalent to 11293.1 ft.
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8x-6y=36
solve the linear equation
Answer:
The below is the answer to the equation. 4.5, 0
Step-by-step explanation:
witch equation represents a linear function
Please help me ASAP........
Answer:
More on supplies than she earned in sales.
Answer:
She spent 25 dollars from her pocket. No profit
Step-by-step explanation:
What is the value of x in the equation below?
Negative 3 minus (negative 8) minus (negative 2) = x
Answer:
D
Step-by-step explanation:
Took the test ;)
someone pls hurry and help !
benjamin believes that 1/2% is equivalent to 50%. Is he correct? Why or why not?
Answer:
yes because 1 divided by 2 is 0.5 which can be converted to 50%
solve -3x-2y=2, 9x-5y=-28 using the elimination method
The answer is the picture. Hope this helped.
Help please :)
And tell me the slope please
Answer:
[tex]\frac{ \frac{7}{3}}{\frac{1}{3}}[/tex] is the slope
Step-by-step explanation:
rise over run
33 divided by a number Q.
Answer:
33/Q?
Step-by-step explanation:
im confused on what the problem is
help please. I need
Answer:
the slope is= 3/2
y= (3/2)x + (-4)
find the sum of the first 31 terms of 4,11,18,...
Answer:
3379
Step-by-step explanation:
Find the solution to each equation mentally or use your calculator. (do the opposite of the number on the left side of the equation)
A: 30+a=40
B: 500+b=200
C: −1+c=−2
D: d+3,567=0
Someone please help and thank you
Answer:
7 : 3
Step-by-step explanation:
Divide both numbers by 6
Answer:
Step-by-step explanation:
42:18=42/18=7/3=7:3
I hope it help you
this is so easy
what is the equation of a line with a slope of -3 and a y-intercept of 9
Answer:
The answer to the question provided is y = -3x + 9.
f(x) = -x^2
Find f(3)
Answer:
9
Step-by-step explanation:
f(x) = -x^2
f(3) = -3^2
f(3) = 9