To solve the apple picking problem, we assigned variables and formulated an equation based on the relationships between the amounts each person picked. Solving the equation revealed that Andrew picks 252 pounds of apples.
Let Maria's apple pick be x pounds. According to the question, Andrew picks three times as many apples as Maria, which makes Andrew's pick 3x pounds. Jane, on the other hand, picks two times as many apples as Andrew, resulting in Jane's pick being 2(3x) or 6x pounds. Now, we know that the total weight of the apples picked by all three is 840 pounds.
We can express this as an equation:
x + 3x + 6x = 840
This simplifies to 10x = 840.
To find x, we divide both sides by 10:
x = 840 / 10
x = 84 pounds
Since Andrew picks 3x pounds, we multiply 84 by 3 to find Andrew's pick:
Andrew's pick = 3 × 84 = 252 pounds of apples.
Determine if the graphed function is linear or nonlinear.
Select from the drop down menu to correctly complete the sentence.
The graphed function is A or B
A) Linear
B) Non-linear
Translate the following sentence into an equation: The sum of 23 and Victors height is 61. Use the variable v to represent Victors Height. Thank you!!!
Maria respondeu às 40 questões de um teste e acertou 25 qual a razão
What is the Coefficient of 12r
tom ate 1/2 of the leftovers. How much pie in all did he eat?
Answer:
1/4 or one quarter
Step-by-step explanation:
Say a complete pie is represented by a whole or a number 1
Assuming half of the pie was eaten
We have a leftover of 1/2
Now tom ate 1/2 of left over
Which is 1/2 of 1/2
1/2*1/2=
1/4
Divide decimals 1.52 / 1.9
Given:
[tex]\to \frac{1.52}{1.9}[/tex]
To find:
Divide decimals =?
Solution:
[tex]\to \frac{1.52}{1.9}= \frac{152 \times 10}{19 \times 100}[/tex]
[tex]= \frac{152 }{190 }\\\\= \frac{8 }{10 }\\\\=0.8[/tex]
Therefore the final answer is "0.8".
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Evaluate the expression for the given values. mx−y when m=1, x=5, and y=2 Enter your answer in the box.
Answer:
3
Step-by-step explanation:
if a soccer field has an area of 27 sq miles and the width is 9 miles what isvthe lenght of the soccer field
how to round te number 38.14205? thanks•=•
Colby graphed a scatter plot of student exam scores (y) and the number of hours each student had slept the night before the exam. She drew the trend line and calculated its equation to be y=9/2x + 60. What is the predicted score for a student who slept 6 hours the night before the exam?
To predict the exam score for a student who slept 6 hours, substitute 6 for x in the trend line equation y=9/2x + 60, which calculates to 87.
The question asks to predict the exam score for a student who slept 6 hours before the exam using the given trend line equation y=9/2x + 60. To find the predicted score, we substitute the number of hours (x = 6) into the equation:
[tex]y = {9}/{2}~times ~6 + 60[/tex]
This simplifies to:
y = 27 + 60
So, y = 87
Therefore, the predicted exam score for a student who slept 6 hours is 87.
what scale factor is used to create a scale drawing
A scale factor is a dimensionless number used to accurately represent the real-life measurements of an object on a smaller scale in a drawing or model.
The scale factor is used to create a scale drawing is a dimensionless number which represents the ratio of the drawing's dimensions to the actual dimensions of the object. For example, if the scale factor is 1:50, this means that 1 unit in the drawing is equal to 50 units in real life.
When creating a scale model, map, or drawing, you use the scale factor to accurately represent larger objects on a smaller, manageable scale. You would multiply the real measurements by the scale factor if you're scaling down, or divide the drawing measurements by the scale factor if you're scaling up.
in a poll of travelers 85% said that traveling by air makes them nervous and 450 travelers said that it does not make them nervous. how many travelers were polled?
why woould you use the associative property of multiplication to solve (10×4) ×2? how would you you regroup the factors?
Which set of rational numbers is arranged from least to greatest?
A 1/5, −1.4,-1/2 , 3.
B 3,-1/2 , −1.4, 1/5.
C 3, 1/5 , −1.4, 1/2
D -1.4, -1/2, 1/5, 3
37,917,545 please do it in 3 different ways
Tyger uses brick which are 7cm tall to build a tower.His final tower is 26 bricks high.How many cm tall is it?
12.32 divided by 22 estimate the quotient
If one face of a cube has an area of 6 square inches,what is the surface area of the entire cube?
A.) 24
B.) NOT CORRECT
C.) 48
D.) 64
What is the equation of this line in slope-intercept form? y=−3x−1y=−3x−1 y=−13x−1y=−13x−1 y=3x−1y=3x−1 y = 3x + 1
Answer:
(y+1)=3(x-1)
Hope I helped!
what is 1.45×10 -3 in standard form
8,589 rounded to nearest thousand
The sum of the measures of the exterior angles of the decagon is ????
Final answer:
The sum of the measures of the exterior angles of a decagon is 360 degrees, as this is true for the exterior angles of any polygon.
Explanation:
The sum of the measures of the exterior angles of any polygon, including a decagon, is always 360 degrees (°).
This is because the exterior angles, one at each vertex, effectively 'walk around' the entire polygon, forming a complete circle.
For a decagon, which is a ten-sided polygon, despite having ten different exterior angles, when added together, they will sum up to 360°.
evaluate n2+n+41 for n=0 1 2 and 3 to find the four prime numbers?
The n2 is an exponent.
A soccer team played 28 games and won 4 out of every 7 games. There are no ties.
how many games did they lose?
Answer:
They went 16-12 16 wins 12 losses.
Step-by-step explanation:
28 games, 4/7 are wins.
28/7=4
4*4=16 makes 16 wins
28-16=12 so 12 losses are the remaining games
To find the number of games lost, subtract the number of games won from the total number of games played. If the team won 4 out of every 7 games, they would lose 3 out of every 7 games. Therefore, the team lost 12 games.
Explanation:To find the number of games lost, subtract the number of games won from the total number of games played. In this case, the team won 4 out of every 7 games. So, they lost 3 out of every 7 games. To calculate the number of games lost, multiply the number of sets of 7 games by 3.
For example, if the team played 28 games, there are 4 sets of 7 games. Therefore, the team lost 3 x 4 = 12 games.
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There are some hats in a box. 1/6 of them are red, 1/3 of blue, and 3/7 of the remainder are green. If there are 27 green hats, how many hats are there altogether
Is The ratio 5 gallons in 10 minutes a rate?
The school wants to buy a new speaker system for the football stadium with the money they raised from the bake sale. They compared speaker system prices from two different distributors.
From Schools'R'Us, a system, t, costs $280 less than three times the price of the same speaker system, d, at The Warehouse. The difference in price between the speaker system at Schools'R'Us and The Warehouse is $288.
What system of equations can be used to determine the price of the speaker system at each distributor?
The system of equations to determine the price of the speaker system at each distributor is t = 3d - 280 and t - d = 288. Solving these equations will give the prices at Schools'R'Us (t) and The Warehouse (d).
To find the price of the speaker system at each distributor, we need to set up a system of equations based on the information provided. Let's denote the cost of the speaker system at Schools'R'Us as t, and the cost of the same speaker system at The Warehouse as d.
According to the problem statement, we have the following relationship between the two prices:
t = 3d - 280. (1)
The difference in price between the two systems is also given as $288, forming the second equation:
t - d = 288. (2)
Therefore, the system of equations that we can use to determine the price of the speaker system at each distributor is:
t = 3d - 280t - d = 288Solving this system of equations will provide the values for t and d, representing the prices of the speaker systems at Schools'R'Us and The Warehouse, respectively.
Mr. Alan drove 2 1/5 hours at a speed of 70 kilometers per hour. He then drove another 224 kilometers. He took 5 hours for the whole journey. What was mr alan average speed for the whole journey?
To find the average speed for the whole journey, calculate the total distance traveled and total time taken. The average speed for Mr. Alan's whole journey is 75.6 km/h.
Explanation:To find the average speed for the whole journey, we need to calculate the total distance traveled and the total time taken. First, calculate the distance traveled during the 2 1/5 hours at a speed of 70 kilometers per hour:
Convert 2 1/5 hours to a mixed number: 2 1/5 = 11/5 hoursMultiply the time by the speed: 11/5 hours * 70 km/h = 154 kmNext, calculate the total distance traveled by adding the distance from the first part (154 km) to the additional distance of 224 km: 154 km + 224 km = 378 km
Finally, calculate the average speed for the whole journey by dividing the total distance by the total time taken: 378 km / 5 hours = 75.6 km/h
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Compare the decimals 9,135.40 and 9,135.4. Which comparison is correct?
A. 9,135.40 < 9,135.4
B. 9,135.40 > 9,135.4
C. 9,135.40 = 9,135.4
C is your answer to this problem.
Mr. Gordon weighs 205 pounds . Multiply his earth weight by 0.91 to find out how much he would weigh on the planet Venus. What is the difference between mr. Gordon's earth weight and his weight on Venus
Answer:
18.45
Step-by-step explanation: