Jack, Marta, Rand, Todd and 6 more students went apple picking. Every two of these 10 students pick a different number of apples. Combined, the ten students pick 45 apples. Suppose Jack and Marta pick a total of 16 apples; Marta and Rand pick a total of 15 apples; Rand and Todd pick a total of 13 apples. How many apples did Todd pick

Answers

Answer 1

So, Todd picked 1 apple.

We can use the information given to set up the following equations:

Let x be the number of apples Jack picked, and y be the number of apples Marta picked.

We know that x + y = 16 (Jack and Marta pick a total of 16 apples)

Let y be the number of apples Marta picked, and z be the number of apples Rand picked.

We know that y + z = 15 (Marta and Rand pick a total of 15 apples)

Let z be the number of apples Rand picked, and w be the number of apples Todd picked.

We know that z + w = 13 (Rand and Todd pick a total of 13 apples)

We know that the total number of apples picked is 45, therefore x + y + z + w = 45

We can use the equation x + y = 16 to express x in terms of y:

x = 16 - y

We can substitute this into the other equations

(16 - y) + y = 16

y + z = 15

z + w = 13

We can sum all the equations:

(16 - y) + y + y + z + z + w = 45

16 + 2y + 2z + w = 45

From the equation y + z = 15, we can substitute y = 15 - z

16 + 2(15 - z) + 2z + w = 45

16 + 30 - 2z + 2z + w = 45

46 + w = 45

w = 1

Therefore Todd picked 1 apple.

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Related Questions

B. find the value of the unknown variables and sides using parallelogram SAFE,given:​

Answers

Answer:

answer below

Step-by-step explanation:

x=4

y=8

AE line equals 16

sf line equals 20

st line equals 10

Aisha has 50 chocolates she fills 3 boxes and has 2 left over How many chocolates does she have left? Write it as an equation

Answers

Aisha has 2 chocolates left. You can represent the problem as an equation as follows:

x = 3b + 2

Where x is the total number of chocolates, b is the number of boxes filled and 2 is the remaining chocolates left.

Since we know that Aisha has 50 chocolates, we can substitute this value for x in the equation:

50 = 3b + 2

Solving for b, we find that b = 16. So, Aisha filled 16 boxes and had 2 chocolates left over. The equation is true, and Aisha has 2 chocolates left.

It's worth noting that this is a simple algebraic equation, we can use the same equation to find the number of chocolates given the number of boxes and remaining chocolates, or to find the number of boxes given the number of chocolates and remaining chocolates or to find the remaining chocolates given the number of boxes and the number of chocolates.

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Find the inverse of each function. Then graph the function and its inverse. f(x)=-1-1/5x

Answers

The inverse of the given function is y = -1/5(x + 1).

The graph the function and its inverse is shown in the image attached below.

What is an inverse function?

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:

y = -1 - 1/5x

x = -1 - 1/5y

Adding 1 to both sides of the function, we have:

x + 1 = -1/5y

Multiplying both sides of the function by -1/5, we have:

y = -1/5(x + 1)

Is √12 • √12 rational or Irrational?

Answers

It’s rational because if you multiply 12 it will give you 144 and you can simply it to 12 it’s it rational
Answer: Choice A)  Rational

======================================================

Reasoning:

Apply the rule that [tex]\sqrt{x}*\sqrt{x} = \left(\sqrt{x})^2 = x[/tex]

The squaring operation and square root operation cancel each other out. This is because they are inverses of one another.

For example, 7^2 = 49, and the square root of this leads back to 7.

Going back to the problem at hand, we can say, [tex]\sqrt{12}*\sqrt{12} = 12[/tex]

Then we can write that '12' at the end as 12/1. This is a ratio or fraction of integers, which makes the number rational.

Any rational number is of the form a/b, where a,b are integers and b is nonzero.

Could someone help me

Answers

[tex]\cfrac{6a^2 + 21a}{3a^2}\implies \cfrac{6a^2 }{3a^2}+\cfrac{21a}{3a^2}\implies 2+\cfrac{7}{a}[/tex]

What is the surface area?

Answers

Answer:

148

Step-by-step explanation:

5. The hourly garage at BWI Airport costs $4 an hour with a maximum cost of $22 a day. The equation (ℎ)= { 4 , 0<ℎ≤1 8 , 1<ℎ≤2 12 , 2<ℎ≤3 16 , 3<ℎ≤4 20 , 4<ℎ≤5 22 , 5<ℎ≤24 represents the cost of parking for ℎ hours. a. How much does it cost to park for 45 minutes? b. How much does it cost to park for 2 hours? c. How long could you have parked if it cost you $16? d. List the domain and range for this situation.

Answers

It will cost $4 for 45 minutes and for 2 hours it will cost $8. If parked for 3 to 4 hours it will cost $16 for garage at BWI Airport.

What is the scope and domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

How are range and domain determined?

Graphs can be used to determine the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis because the term "domain" refers to the set of potential input values. The possible output values that make up the range are shown on y-axis.

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How to do elimination with 3 variables?

Answers

Elimination is a method used to solve systems of linear equations with two or more variables. One possible method to solve a equation with 3 variables using elimination is solving algebraically.

To use elimination to solve a system of equations with three variables, you can follow these steps:

1. Write the system of equations. For example, if you have the equations:

3x + 2y - z = 5

2x - 4y + 2z = 6

5x - 2y + 3z = 10

2. Multiply one of the equations by a scalar (a number) so that one of the variables has opposite coefficients, say y in two of the equations.

3. Next, you can multiply one of the equations by a scalar (a number) so that one of the variables has opposite coefficients, say x in two of the equations.

4. Now substitute this value of z in the first or the second equation to solve for x

5. Now substitute this value of x and z in the second equation or any other equation to solve for y

This is one possible way to use elimination to solve a system of equations with three variables. Depending on the specific problem, there may be different ways to eliminate variables, but the general idea is to use scalar multiplication and addition or subtraction to create a new equation with one variable having the same coefficient but with opposite signs. One can also use Gaussian elimination or matrix inversion method.

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Liz is watching a film at the cinema. The film started at 14 30. The film is 105 minutes long. When the film ends, Liz takes 20 minutes to get to the bus stop. Does Liz get to the bus stop in time to get this bus? You must show all your working

Answers

The answer is yes, she does and she still has 10 minutes free.

What is time ?

Time can be defined as the sequence on which particular event exists and time can measured in minutes , seconds, and hours.

Given,

The film started at 14 30. The film is 105 minutes long.

When the film ends, Liz takes 20 minutes to get to the bus stop.

105min=1h 45min

14h 30min + 1h 45min= 16h 15min

16h 15min + 0h 20min=16h 35min

16h 45min - 16h 35min= 10min

Hence, the answer is yes, she does and she still has 10 minutes free.

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This one is division

Answers

Answer:

yesjsjsjsjsjsjsjsjdjsj

1.) 12/5 2.) 22/7) 3.) 3

if u answer this u are a god at math

Answers

Answer:

its 90

hope this helped

Step-by-step explanation:

Answer:90

Step-by-step explanation:

The perimeter Of rectangle is 106 cm its length is 2X -1 cm and breath is X +9 cm find its length and breadth

Answers

[tex] \longmapsto \: 2(2x - 1 + x + 9) = 103 \\ \\ \longmapsto \: 2(3x + 8) = 106 \\ \\ \longmapsto \: 6x +16 = 106 \\ \\ \longmapsto \: x = \frac{90}{6} \\ \\ \longmapsto \: x = 15 [/tex]

So,

[tex]l = 2 \times 15 - 1 = 29 \\ \\ b = 2 + 15 = 17[/tex]

The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the breadth (or width) of the rectangle.

In this case, we know that the perimeter is 106 cm, so we can set up the equation:

106 = 2(l + (X + 9))

106 = 2l + 2X + 18

We also know that the length of the rectangle is 2X - 1, so we can set this equal to l:

2X - 1 = l

Now we have a system of two equations with two unknowns (l and X). We can substitute the value of l from the second equation into the first equation and solve for X:

106 = 2(2X - 1 + (X + 9))

106 = 2(3X + 8)

106 = 6X + 16

90 = 6X

X = 15

Now that we know the value of X, we can substitute it back into the equation for the length of the rectangle to find the length:

l = 2X - 1 = 2(15) - 1 = 29 cm

And then we can use the value of X again to find the breadth:

w = X + 9 = 15 + 9 = 24 cm

So the length of the rectangle is 29 cm and the breadth is 24 cm.

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Express √75 in basic form​

Answers

Answer:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

Frist find which perfect square goes into 75. In this case its 25 * 3. You then find out what is the square root of 25. Which is 5. you put that number outside the radical and the other number inside the radical. resulting in 5 square roots of 3.

Answer: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

5√3

Decimal Form:

8.66025403…

What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches? round to the nearest tenth

A. 24.8 in.
B. 28.4 in
C. 35.6 in
D. 50 in

Answers

The answer is C. 35.6 Inches

Answer:

answer is c

Step-by-step explanation:

In 2010, the population of a city was 59,000. From 2010 to 2015, the population grew by 7.3%. From 2015 to 2020, it fell by 5.3%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?

Answers

To the nearest percent, the percent by which the population grew from 2010 to 2020 is; 2%

How to find the percentage growth?

Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.

Now, we are told that;

Initial Population in 2010 = 59000

From 2010 to 2015, the population grew by 7.3%. Thus;

Population in 2015 = 1.073 * 59000 = 63307

Now, we are told that from 2015 to 2020, it fell by 5.3%. Thus;

Population in 2020 = 63307 * (100% - 5.3%)

= 59952

Thus, percentage increase from 2010 to 2020 = (59952 - 59000)/59000) * 100% = 1.61% ≈ 2%

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Translate the sentence into an equation.
Five more than the product of a number and 6 equals 4.
Use the variable w for the unknown number.

Answers

Answer:

The to your question is 5w+6=4

Answer:

Below,

Step-by-step explanation:

Produce of w and 5 = 6w

Adding 5 gives  6w + 5 so the equation is:

6w  + 5 = 4.

The cost of hiring a plumber is shown by the equation � = 100� + 75, where n is the number of hours
worked, and C is the total cost to hire the plumber. The plumber wants to earn at least $200 per job,
and will work for a maximum of 6 hours for each job.
(a) What is the minimum and maximum number of hours that the plumber will work?

Answers

Answer:

The minimum number of hours the plumer can work is 1 hour and 15 minutes and the maximum number of hours is 6.

Step-by-step explanation:

Write the equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5).

Answers

Answer:

y= -1/2x-5

Step-by-step explanation:

The reciprocal of 2 is -1/2, and the y-intercept given is -5. Given those, the equation is y= -1/2x - 5

The equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5) = 2y = -x -8

What is an Equation of a line?

The equation of line is an algebraic form of representing the set of points.

Given that a line is perpendicular to line, y = 2x -5 and passes through (2,-5)

Equation of a line = y = mx + c, where m is the slope

y = 2x - 5, slope of this line is 2

Slope of two perpendicular lines are negative reciprocal of each other.

Therefore, slope of other line is -1/2

Equation will be y = -1/2 x + c

This above line passes through (2,-5)

-5 = -1/2*2 + c

c = -4

Hence, the equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5).

y = -x/2 -4

2y = -x -8

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I rly rly rly rly rly rly rly rly rly rly rly need help for sum reason

Answers

Answer:

6*5=30 units

Step-by-step explanation:

Brainliest?

Thirty eight students are going on a field trip. Parents will drive. Each car can hold 4 students along with the driver. How many cars will be needed?

Answers

Answer: you will need 8 cars. 4 can go into 7 evenly so you will have to left over. So 8 cars will be necessary.

Step-by-step explanation: divide 30 by four which equals 7.5 so we can just round up and say we need 8 cars

To determine how many cars are needed to transport 38 students, we need to divide the total number of students by the number of students that can fit in each car.

According to the problem, each car can hold 4 students and a driver. Therefore, the total number of people that can fit in one car is 4+1 = 5.

To transport 38 students, we need to divide 38 by 4 to find the number of cars needed to transport all the students.

38 ÷ 4 = 9 remainder 2

This means that 9 cars can transport 36 students (9 cars x 4 students per car), but we still have 2 students left.

Therefore, we need an additional car to transport the remaining 2 students.

In total, we need 10 cars to transport all 38 students.

heelllppp please!!!!!!!

Answers

Answer:

7.9

Step-by-step explanation:

area of circle equals π× 5 = 15.7

area of half of the circle equals 15.7÷2

=7.85

now round it of and it's 7.9

Angle AOB is a central angle with a measure of 110 degrees.
What is the measure of its arc AB?

Answers

The most accurate value for AB is 37.699111843077516 (approximately)

How to measure arc?

The measure of an arc is directly related to the measure of the central angle that intercepts it. The measure of an arc is equal to the measure of its central angle, multiplied by the radius and divided by the degree of the circle.

Since, radius is not given let's assume it 20.

In this case, the central angle AOB has a measure of 110 degrees, and the radius of the circle is 20. Therefore, the measure of the arc AB is:

AB = (110/360) * 20 * 2 * π

or

AB = (110/360) * 20 * π

where π is the mathematical constant (approximately equal to 3.14).

So, the measure of the arc AB is (110/360) times the circumference of the circle, or (110/360) of the total length of the circumference.

The most accurate value for AB is 37.699111843077516 (approximately)

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Elena made two batches of food to put in a bird feeder. She uses 1/8 cups of cracked corn, 3/4 cups of sunflower seeds, and 1/4 of dried cranberries for each batch. What is the best estimate of the total amount of bird food she made?

Answers

Elena made 2 batches of bird food, each with 1/8 cup cracked corn, 3/4 cups sunflower seeds, and 1/4 cup dried cranberries, for a total of 1.75 cups of bird food.

Elena made two batches of bird food using a combination of cracked corn, sunflower seeds, and dried cranberries. Each batch uses 1/8 cup of cracked corn, 3/4 cup of sunflower seeds, and 1/4 cup of dried cranberries.

To find the total amount of bird food she made, we need to add the ingredients of the two batches together.

Since she made two batches and each batch contains 1/8 cup of cracked corn + 3/4 cup of sunflower seeds + 1/4 of dried cranberries, the total amount of bird food is 2 × (1/8+3/4+1/4) = 2 × (7/8) = 7/4 = 1.75 cups.

This is the best estimate of the total amount of bird food made by Elena. It's important to note that this estimate is based on the assumption that the proportion of ingredients in each batch is the same, and that the ingredients are measured accurately.

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

the answer would end up being: D

Question 2 (Essay Worth 2 points)

(05.06 HC)

Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning.

Answers

In accordance with comparative comparative, the x-intercept of function g(x) = ㏒ (x + 4) is equal to x = - 4.

How to determine the x-intercept of a logarithmic function

According to function theory, a function f(x) has an x-intercept when f(x) exists for x = 0. Besides, logarithms of 1 for any base is equal to zero, that is:

Logarithm of 1 at any base.

㏒ₐ 1 = 0

If ㏒ x = 0, then x = 1. And if ㏒ (x + 4) = 0, then x + 4 = 0, that is, x = - 4.

Then, by direct comparison between the two logarithmic expression, the logarithmic function g(x) = ㏒ (x + 4) has x = - 4 as its x-intercept.

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Can someone please help me?

Answers

Answer: i think 20

Step-by-step explanation:

If f(x)= x² (x≠2), then lim f(x) =4? Can I think of this as ignoring the x≠2 rule?
x→2

Answers

Answer: No, the statement "if f(x)= x² (x≠2), then lim f(x) =4" is not correct. The limit of a function is a value that the function approaches as the input (in this case, x) gets closer and closer to some specific number. In this case, the limit of f(x) as x approaches 2 would be 4, since f(x)=x² for all values of x other than 2. However, if you ignore the x≠2 restriction and consider all values of x, then the limit of f(x) as x approaches 2 would be undefined, since f(x)=4 for x=2.

Step-by-step explanation:

what is the volume of a box with the height of 3/2 inches and a length of 7/2 inches and a width of 5/2 inches

Answers

Answer:

13.125 in³

Step-by-step explanation:

So first convert all the numbers to decimal form. 3/2 converts to 1.5. 7/2 converts to 3.5. 5/2 converts to 2.5.

Now for the actual math. Take 1.5×3.5=5.25. Then take your new number and multiply it by 2.5. 5.25×2.5=13.125.

What is the slope of the line through (4-5) and (-2,1)

Answers

Answer:

slope = -1

Step-by-step explanation:

y2-y1 / x2-x1=

1+5 / -2-4 = 6/-6

M = -1

heyy! i’ll give brainliest please help

Answers

As the name of a person

Answer:

Last one

Step-by-step explanation:

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