Bill picked 1/2 of the apples on his grandmothers tree. After Bill finished, Sally picked 1/3 of the apples that were left on the tree. After Sally finished, there were 40 apples left on the tree. How many apples were on the tree before they both picked apples?

Answers

Answer 1
answer is 120
1/2 of 120 is 60
1/3 of 60 is 20
therefore, leaving 40 left
Answer 2

The total number of apples on the tree before Bill and Sally picked any apples was [tex]\[{120}\][/tex]

Let's start by defining the total number of apples on the tree initially as [tex]\( x \).[/tex]

First, Bill picked [tex]\( \frac{1}{2} \)[/tex] of the apples. Therefore, after Bill finished picking, the number of apples left on the tree was:

[tex]\[x - \frac{x}{2} = \frac{x}{2}\][/tex]

Next, Sally picked [tex]\( \frac{1}{3} \)[/tex] of the remaining apples. After Bill picked, there were [tex]\( \frac{x}{2} \)[/tex] apples left. Thus, Sally picked:

[tex]\[\frac{1}{3} \times \frac{x}{2} = \frac{x}{6}\][/tex]

After Sally picked her apples, the number of apples left on the tree was:

[tex]\[\frac{x}{2} - \frac{x}{6}\][/tex]

To simplify this expression, find a common denominator (which is 6):

[tex]\[\frac{x}{2} - \frac{x}{6} = \frac{3x}{6} - \frac{x}{6} = \frac{2x}{6} = \frac{x}{3}\][/tex]

We are told that after Sally picked her apples, there were 40 apples left on the tree. Therefore:

[tex]\[\frac{x}{3} = 40\][/tex]

To find x, we multiply both sides by 3:

[tex]\[x = 40 \times 3 = 120\][/tex]


Related Questions

a thermometer measures temperature to the nearest 0.5 degrees celsius which measurement shows an appropriate level of precision for the thermometer

Answers

The temperature which has best degree of precision would actually be the temperature reading which has similar decimal place with the error. So the best answer would have 1 decimal and from the choices given above, this would be:

 

16.0°C

 

Answer:

16.0c

Step-by-step explanation:

A P E X Verified

Ḧ̤ë̤l̤̈p̤̈ p̤̈l̤̈ë̤ä̤s̤̈ë̤

Answers

Well, Gina makes quite a bit to be a waitress...but let's focus on the math!
We can make an equation based on the information given to us...

$6.00 per hour
PLUS tips

Now, notice how 6.00 is a constant, it never changes. 
Her tips and her hours do change, however, so they must be made into variables.

We can form the equation 6(times how many hours) + (tips)
OR
6x + y = z
X - hours
Y - tips
Z - total money earned

Now we know what the variables mean, let's put these into action!

6(37) + 43 = Z?
Simplify: 6 * 37 = $222.00.

222 + 43 = Z
Simplify: 222 + 43 = $265.00

The total amount she earned altogether is $265.00!

Hope I could help you out! If my answer is incorrect, or I provided an answer you were not looking for, please let me know.
However, if my answer is explained well and correct, please consider marking my answer as Brainliest!  :)

Have a good one.
God bless!

What is the slope of the line on the graph?

Answers

The slope is -2 because if you find two points on the graph ie: (0,0) and (3,-6) and use the slope formula- (y2-y1)/(x2-x1)

(-6-0)/(3-0)= -6/3= -2
The correct answer should be 2/-1 (2 over negative 1)

Solve for x- 3x+ 7=22

Answers

Answer: 
–7.5 = x

Explanation: 
22 = x – 3x + 7 
Subtract 7 from both sides:
22 – 7 = x – 3x + 7 – 7 
15 = x – 3x 
15 = –2x 
Divide by –2 on both sides:
15 ÷ –2 = –2x ÷ –2 
–7.5 = x

to which set of numbers does -5.2 belong? F. rational g. integer or H. irrational

Answers

The correct answer is:  [F]:  "rational" .
________________________________________________
It is not an "integer" because it is a "decimal value".

It is not "irrational" because the decimal value terminates and does not repeat.
_________________________________________________

your answer is rational because it has a decimal value

Simplify. 46√+26√−6√
6√6

5√18

5√6

6√18

Answers

Answer:

46√+26√−6√ It Is 5√-6


Answer:

The answer is: [tex]5\sqrt{6}[/tex]

good luck!

what is equal groups division with an unknown multiplier mean?

Answers

Bxbc cancan ncjxxkznxncjxkxkxkzmx
Final answer:

Equal groups division with an unknown multiplier in mathematics refers to a division problem where you know the total and the number of groups, but not the number of items in each group. You solve it by dividing the total by the number of groups. This concept assists in understanding division and acts as a stepping stone to algebra.

Explanation:

In Mathematics, the term 'equal groups division with an unknown multiplier' refers to a division problem where you are given the total and the number of groups, but not the number of items in each group. This is a concept typically introduced in middle school Math.

For example, if you have 24 apples and want to divide them up into 4 equal groups, but you don't know how many apples will be in each group, that's division with an unknown multiplier. The solution would be to divide 24 (the total) by 4 (the number of groups), which gives you 6. So each group has 6 apples.

This concept helps students to better understand division and is often a precursor to learning about algebra, where the unknown multiplier is replaced with a variable.

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Jorge bought 16 apples for $8.00. Let x represent the number of apples purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.

(it doesn't have a graph because i need to graph it)

Answers

x=16
y=8.00
8/16=0.5  (50 cents per apple)
y=0.5x+0

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem

Jorge bought [tex]16[/tex] apples for [tex]\$8.00[/tex]

This is a direct variation problem

Let

x-----> the number of apples purchased

y-----> the total cost

[tex]y/x=k[/tex]

The value of k is equal to the value of the slope m

Substitute

[tex]8/16=k[/tex]

[tex]k=0.5\frac{\$}{apple} [/tex]

The linear equation is

[tex]y=0.50x[/tex]

using a graphing tool

see the attached figure

The answer in the attached figure

All of the following represent the same expression except _____. -8ab -8(a)(b) 8 - ab -8 · a · b

Answers

8-ab because 8 is not multiplying an like the others

An investment is currently worth 1.2×107 dollars . Twenty years ago, the investment was worth ​ 9.6×105 ​ dollars. How many times greater is the value of the investment today than the value of the investment twenty years ago? a. 0.125
b. 12.5
c. 125
d. 12,500

Answers

B.12.5, 1.2x10^7 is 12,000,000, and 9.6x10^5 is 960,000, 12,000,000 divided by 960,00 equals 12.5

Current worth of the investment = [tex]1.2(10^{7} )[/tex]

Worth of the investment 20 years before = [tex]9.6(10^{5} )[/tex]

To find the number of times greater, we have to divide.

Number of times greater = [tex]\frac{current worth}{worth 20 years before}[/tex]

[tex]=\frac{1.2(10^{7} )}{9.6(10^{5} )}[/tex]

[tex]=\frac{1.2(10^{2} )}{9.6}[/tex]

[tex]=\frac{120}{9.6}[/tex]

= 12.5

Hence, the correct option is (b).

Name two integers that have a product between -10 and -15

Answers

A product means when they are multiplied together.
I.e. The product of 3 and 4 is 12, because 3 * 7 = 4
i.e. The product of -4 and + 8 is 4, because -4 * 8 = -36

An integer means a whole number like 1, 2, 3, 4, 5, or -1, -2, -3, -4.
i.e. 3.2 is NOT AN INTEGER since there is a decimal

Two integers that have a product between -10 and -15
> Can be -6 and +2 which the product is -12 <------- (-6 * +2)
> Can be -7 and +2 which the product is -14 <------- (-7 * -21)
So an answer would be
"-6 and +2" are integers which have a product between -10 and -15

how do i graph   –73x+2

Answers

Use Desmos.com it will graph it for you. And it will show you the steps. I think this will help you.
you originally start at the origin, (0,0), however the +2 moves your y value 2 places up. Start at (0,2), and then count your slope. 73/1 is a steep slope, but if thats correct, you would go up 73 units and over 1. making your next point (1,75). and do it the opposite way to make (-1,-71). there is 3 points for your graph.

Two consecutive whole numbers that 106 square root lies between

Answers

Using a calculator, the square root of 106 is roughly equal to the decimal number 10.2956 so the two whole numbers are 10 and 11

If you are unable to use a calculator or don't have one, then you can list out the set of perfect squares: {1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121}

We can see that 106 lies between 100 and 121
100 = 10^2
121 = 11^2
so that shows the square root of 106 lies between 10 and 11
Final answer:

The square root of 106 is between 10 and 11. So, the two consecutive whole numbers are 10 and 11.

Explanation:

The student is asking about the whole numbers that the square root of 106 lies between. To determine this, we calculate the square roots of numbers near 106. The square root of 100 is 10 and the square root of 121 is 11. Therefore, the square root of 106 lies between 10 and 11. So, the two consecutive whole numbers that the square root of 106 lies between are 10 and 11.

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What is the equation of the graph? y=−43x+3 y=3x+43 y=−3x−43 y=43x+3

Answers

The equation of the given graph will be y=-3/2x+3 so none of the options will be correct.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

The point of intersection of the line and x-axis = (2,0)

The point of intersection of the line and y-axis = (0,3)

The slope of the graph or line

Slope = differcne in ys coordinate/difference in xs coordinate

Slope(m) = (3-0)/(0-2) = -3/2

Now equation of a line is given by

y = mx + c

Now keep point (2,0) and slope-3/2

0 = (-3/2)2 + c

c = 3

So, the equation would be

y = (-3/2)x + 3

Hence, The equation of the given graph will be  y=-3/2x+3

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The equation of the graph is - y = [tex]\frac{-3}{2} x + 3[/tex]

We have a graph of a equation of a straight line.

We have to find the equation of the straight line.

What is the general equation of a straight line ?

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question -

The slope of line = [tex]\frac{3-0}{0-2}[/tex] = [tex]\frac{-3}{2}[/tex]

c = 3

Substituting the values in the general equation of line, we get -

y = [tex]\frac{-3}{2} x + 3[/tex]

Hence, the equation of the graph is - y = [tex]\frac{-3}{2} x + 3[/tex]

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Use the modle to find 2x137

Answers

the answer is 2• 137= 274
2 • 137 is 274. This is your answer

Which comparison symbol makes each inequality statement true?

Enter <, > , or = to make each statement true.

Enter your answers in the boxes.

−6.809 −6.812

|−6.809| |−6.812|

Answers

-6.809>-6.812
|-6.809| <|-6.812|

because the absolute values (vertical lines) represent whatever is in them becomes a positive.
-hope that helps

Answer:

-6.809 > -6.812 and [tex]|-6.809 | < |-6.812 |[/tex]

Step-by-step explanation:

It is clear that 6.809 < 6.812. Hence, -6.812 < -6.809, since the minus sing reverses the order. On the other hand,

[tex]|-6.809 |= 6.809 < 6.812=|-6.812 |[/tex]

the sum of two numbers 18 and their difference is 4. what are the two numbers?

Answers

They are 7 and 11. 11 + 7 = 18, 11 - 7 = 4.

The values of a and b in the expression given are 11 and 7 respectively

Let the numbers be : a and b

The sum of the numbers equals 18 :

a + b = 18 - - - (1)

The difference of the numbers equal 4 :

a - b = 4 - - - (2)

From (1):

a = 18 - b - - - (3)

Substitute the value of a in (3) into (2)

18 - b - b = 4

Collect like terms

18 - 2b = 4

-2b = 4 - 18

-2b = - 14

b = 14 / 2

b = 7

From (3)

a = 18 - 7 = 11

Therefore, the values of a and b are 11 and 7 respectively

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Can someone plz help.

Answers

The answer should be 5×2+3×2÷1/2.

The sales tax rate in jans town is 7.5%. If she Buys 3 lamps for 23.59 each and a sofa for 769.99 how much sales tax does she owe

Answers

$63.06  Sum of purchases ($840.76) x .075 = 63.057

Eder needs 6 cookies and 2 brownies for every 4 plates he makes for a bake sale.

How many cookies and brownies would Eder need for 10 plates?

Answers

He would need 15 cookies and 5 brownies.  This is because 4 is not a multiple of 10, so we are going to reduce it to 2. This means that you need 3 cookies and 1 browny for every 2 plates.  10 divided by 2 is 5, so you multiply each treat by 5 and get 15 cookies and 5 brownies.  Hope this helps!!

What is 0.94 divide by 5?'

Answers

0.94 divided by 5 is equal to .188
0.188...................

What are the variables in this expression? f+2g+h/4-7.1 f and g only
2 g and h only
3 f, g, and mc014-2.jpg only
4 f, g, and h only

Answers

4) Variables are placeholders for any specific value to be put in to find the value. f, g and h are all variables. 

Hope I helped :) 

Answer:

4. [tex]f,g\text{ and }h[/tex] only.

Step-by-step explanation:

We have been given an expression [tex]f+2g+\frac{h}{4}-7[/tex]. We are asked to find the variables in the given expression.

We know that variable is a symbol or letter that represents an unknown value in a mathematical expression.

We can see that in our given expression [tex]f,g\text{ and }h[/tex] are unknown, therefore, these are variables for our given expression.

There are 6 gallons of distilled water in the science supplies. If 10 students each use an equal amount of distilled water and there is 1 gal left in the supplies, how much will each student get?

Answers

.5 gal for each student

Please help!!! What is 10-2(3-2x=0)

Answers

Use the distributive property
10-6-4x=0
4-4x=0

By decreasing each dimension by 2 units, the area of the rectangle decreased from 24 square feet to 6 square feet. Find the percent increase

Answers

The percent increase after decreasing the dimensions of a rectangle is 66.67%

The question asks for the percent increase in area when the dimensions of a rectangle are decreased, which necessitates understanding of area calculations and percentages. Initially, the rectangle had an area of 24 square feet, which reduced to 6 square feet upon decreasing each dimension by 2 units.

To find the percent increase, one should first understand that a decrease in area actually implies a percent decrease, rather than an increase.

Find the area of the original rectangle: 4 units x 6 units = 24 square feet

Find the area of the new rectangle: (4 - 2) units x (6 - 2) units = 8 square feet

Calculate the percent increase: ((24 - 8) / 24) x 100% = 66.67%

A fish is 5 feet below the surface of a lake. If its position can be recorded as −5 feet, what would the position of 0 represent

Answers

The position of 0 would represent the sea level, or elevation of the water.

Right now Seth's age is 4/5 the age of his brother Eric. Twenty-one years ago, Eric was twice as old as Seth. What are their ages now?

Answers

Final answer:

To find Seth and Eric's current ages, we can set up two equations using the given information and solve them simultaneously.

Explanation:

To solve this problem, let's start by assigning variables to the ages of Seth and Eric. Let Seth's age be represented by 'S' and Eric's age be represented by 'E'. We are given that currently Seth's age is 4/5 the age of Eric:

S = (4/5)E

We are also given that twenty-one years ago Eric was twice as old as Seth:

E - 21 = 2(S - 21)

Now we can solve these equations simultaneously to find their current ages. Let's substitute the value of S from the first equation into the second equation:

E - 21 = 2((4/5)E - 21)

Simplifying the equation, we get:

E - 21 = (8/5)E - 42

Moving all the terms with 'E' to one side, we get:

(8/5)E - E = 42 - 21

Simplifying further, we get:

(3/5)E = 21

To solve for E, we can multiply both sides of the equation by 5/3:

E = (5/3) * 21 = 35

Now that we know Eric's age, we can substitute this value back into the first equation to find Seth's age:

S = (4/5) * 35 = 28

Therefore, Eric is currently 35 years old and Seth is currently 28 years old.

Will the standard form of 8.5 × 10–3 be more or less than 1? Explain what effect the negative exponent has.

Answers

Hello There!

If you change that into normal numbers you get:
0.0085.
The negative exponent makes the number smaller.
It will be less than 1.

Hope This Helps You!
Good Luck :) 

- Hannah ❤ 

It would be less than one. Because, 8.5 * 10^-3 equals 0.0085. 
It would be less than 1.

The system of equations is graphed on the coordinate plane.

y=−x−2
y=3x+2

Enter the coordinates of the solution to the system of equations in the boxes.

(__,__)

Answers

Hello there!

Y = -x - 2
Y = 3x + 2

We need to substitute -x -2 for y in y = 3x + 2
-x - 2 = 3x + 2
-x = 3x + 2 + 2
-x = 3x + 4
-x - 3x = 4
-4x = 4
x = 4/-4
x = -1

Then substitute -1 for x in y = -x -2
y = -x -2
y = -(-1)-2
y = 1 - 2
y = -1

The answer is y = -1 and x =-1


So in the box, you should put (-1, -1)

I hope this helps!
 

Look at the picture. Kylie has 832 songs on her portable media player. Lance has 3 times as many songs. how fewer songs can lance add to his player than Kylie can add to hers

Answers

A portable media can hold up to 9,000 songs. Therefore:

Kylie can add = 9000 – 832 = 8168

Lance can add = 9000 – 3 * 832 = 6504

 

So the difference is:

8168 – 6504 = 1664


Therefore lance can add 1664 fewer songs than kylie

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