John Picks Up 2 Apples And Removed 1, And He Picked Up 10 Apples And Gave Away a Half Of Apples To Anyone! John Finally Picks Up 3 Apples And 6 Oranges, How Many Did John Have?

Write Down Your Answers Below!

Subjects : Mathematics, Life, John's Fruit Blast!

After answering the query, we may state that area of shaded region = 100.48-64 =  36.48 sq cm.

Each point in the plane that is a certain distance from the centre (another point) forms a circle. Thus, it is a curve composed of points whose are separated from another point in the plane by a certain distance. Additionally, at every angle, it is alternately symmetric about the centre. The closed, two-dimensional plane of a circle has every pair of points equally separated from the "centre." By drawing a line through the circle, one may create a line of circular symmetry. Additionally, at every angle, it is rotationally equal about the Centre.

here, by Pythagoras theorem

diagonal =  \(\sqrt(8^2 + 8^2) = \sqrt(64+64) = \sqrt(128) = 8\sqrt2\)

radius = \(4\sqrt2\)

area of circles = \(\pi r^2 = 3.14 * (4\sqrt2)^2 = 100.48 cm^2\)

area of square = 8*8 = 64 sq cm

area of shaded region = 100.48-64 =  36.48 sq cm.

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ANSWER

$28

EXPLANATION

We have that the entry fee is $10 and for each ride, $6 must be paid.

We want to complete the table by finding the cost of 3 rides.

First, let us represent the cost of going to the fair and taking the ride.

Let the number of rides a person takes by x.

We have that the cost of taking x rides will be the entry fee plus the cost of each ride taken:

Cost = 10 + 6x

So, for taking 3 rides, it will cost:

Cost = 10 + 6(3)

Cost = 10 + 18

Cost = $28

That is the cost of taking 3 rides.

To find the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2, we can use the following formulas:

New x-coordinate = -2 * old x-coordinate

New y-coordinate = -2 * old y-coordinate

Let's apply these formulas to each point in triangle ABC:

Point A: (-3, 4)

New x-coordinate of A = -2 * (-3) = 6

New y-coordinate of A = -2 * 4 = -8

New coordinates of A: (6, -8)

Point B: (1, 1)

New x-coordinate of B = -2 * 1 = -2

New y-coordinate of B = -2 * 1 = -2

New coordinates of B: (-2, -2)

Point C: (5, -2)

New x-coordinate of C = -2 * 5 = -10

New y-coordinate of C = -2 * (-2) = 4

New coordinates of C: (-10, 4)

Therefore, the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2 are:

A: (6, -8)

B: (-2, -2)

C: (-10, 4)

Answer:

3.05

Step-by-step explanation:

15.25 divided by 5=

3.05

Answer:

3.05

Step-by-step explanation:

15.25 divided by 5= 3.05

Answer:

$5.75

Step-by-step explanation:

Tin- t, Copper- c

t= c+2 and 4t+6c= 10*4.55

---------------

so

it is a right triangle lengths 6 8 and 10.

In this issue:

Then:

\(& 6^2+8^2=10^2 \\\)

\(& 36+64=100 \\\)

\(& 100=100\)

Identity, so it is a right triangle.

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The domain of the function in the graph is {yl1≤y≤9}.  Option b is the correct answer.

Graph:

The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables.

A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.

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Answer:

5/12

Step-by-step explanation:

The pitch of the roof is 5/12.

Option H is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

We know that the pitch of a roof is defined as the ratio of the vertical rise to the horizontal distance, and is typically expressed as a fraction.

In this case, we are given that the roof is 13 feet long, with 5 feet of vertical rise and x feet of horizontal distance.

Therefore,

The pitch of the roof.

Pitch = vertical rise / horizontal distance

Pitch = 5 / x

We don't know the value of x, but we can use the fact that the roof is 13 feet long to solve it.

Since the horizontal distance and vertical rise form the legs of a right triangle, we can use the Pythagorean theorem to find the value of x.

x² + 5² = 13²

x² + 25 = 169

x² = 144

x = 12

Now,

Pitch = 5 / x

         = 5 / 12

Therefore,

The pitch of the roof is 5/12.

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Answer:

15/7 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

15/21

Step-by-step explanation:

First do 5 times 3, which is 15 (5+5+5). Then do 7 times 3, which is 21 (7+7+7). Since the denominator is 7 and there is 3 models with 7 parts each, there are 21 total parts. Out of each model, only 5 parts are highlighted/colored out of the 7. Add all the parts that are colored together to get 15. To put it simpler, 15 out of 21 parts are colored. This cannot be further simplified, giving you 15/21

Answer:

82.1 =  80 + 2 + 0.1

Step-by-step explanation:

Step-by-step explanation:

8 tens 2 ones and 1 tenth

Answer:

Step-by-step explanation:

E ⊂ F ⊂ G

Answer:

456

Step-by-step explanation:

The volume of the triangular prism is equal to 456 cubic units.

A triangular prism is a polyhedron constructed of two triangular bottoms and three rectangular flanks. It is a three-dimensional body that has three flank faces.

A prism is a polyhedron in geometry that has n parallelogram faces that connect the n-sided polygon basis, the second base, which is a translated duplicate of the first base, and the n faces.

The volume of the rectangular prism will be calculated by the formula given below:-

V = Bh

B = Area of the base.

h = height of the prism.

From the figure, we can see that the triangular base has a height of 6 and a base of 8 units.

Area of the Base = 6 x 8 = 48 square units.

The volume of the prism will be,

V = 48 x 19

V = 456 cubic units.

Therefore, the volume of the triangular prism is equal to 456 cubic units.

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Answer:

4+8-4=8

Step-by-step explanation:

2^3 simplified is 8

The absolute value of -4 is 4

Therefore you get 4+8-4

4+8=12-4=8

Answer:

\(y=3x-4\)

Step-by-step explanation:

Hi there!

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

\(m=\displaystyle\frac{y_2-y_1}{x_2-x_1}\) where two points that fall on the line are \((x_1,y_1)\) and \((x_2,y_2)\)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

\(m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3\)

Therefore, the slope of the line is 3. Plug this into \(y=mx+b\):

\(y=3x+b\)

2) Determine the y-intercept (b)

\(y=3x+b\)

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into \(y=3x+b\):

\(y=3x+(-4)\\y=3x-4\)

I hope this helps!

First

angle in front of c is 30°, so hypotenuse is equal to 2c

it's right triangle, so let's use Pythagorean theorem\

\((2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=\dfrac{16}{3} \\\\c=\dfrac{4}{\sqrt{3} } =\dfrac{4\sqrt{3} }{3 }\)

Second

b - the base of the triangle, angles at the base are equal ⇒ cathets are equal

it's right triangle, so let's use Pythagorean theorem

\(b^2=7^2+7^2\\b^2=49+49\\b=\sqrt{2\times49} =7\sqrt{2}\)

Using the formula of combination and probability theorem , The answer is b) 75.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The formula for combination is:

\(C(n,r) = \frac {n!}{r!(n-r)!}\)

selecting 1 blue ball from 5 blue balls = C(5,1)

=5

selecting 2 orange balls from 6 balls = C(6,2)

=15

Total ways of selection = 5*15=75

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Answer:

To the nearest 100 miles, Jessica drove about 300 miles since we haven't reached 350 miles.  If we have a number that is greater than 350 miles than we would've rounded it up to 400 but since ours is less than that we round down to the nearest hundred which is 300 miles.

Before we find the perimeter, first we must know length and width.

Let width = x

The question says that the length of a rectangle is twice its width. Therefore the length is 2×x or two times of width which equal to 2x.

The area of rectangle is given as 32 cm^2.

Do you remember the rectangle area formula? If not then it is:

\( \large \boxed{ \tt{A = width \times length}}\)

Since A is area - substitute A = 32 in. As for width, we substitute in x and length in 2x.

\( \large{32 = x \times 2x}\)

Since x multiplies by another x. It becomes x squared.

\( \large{32 = 2{x}^{2} }\)

Next, we divide 2 by both sides since we want to solve for x.

\( \large{ \frac{32}{2} = {x}^{2} }\)

Simplify 32/2 in simplest form.

\( \large{16 = {x}^{2} }\)

Square both sides so we can get rid the x squared, leaving only x.

\( \large{ \sqrt{16} = \sqrt{ {x}^{2} } }\)

Normally, when solving quadratic equation, you must write plus or minus. However, for this circumstance - we are solving a variable for length and width which cannot be negative. Therefore

\( \large{4 = x}\)

After we solve for x. Substitute x = 4 in width = x and length = 2x.

\( \large{ \tt{width = x = 4}} \\ \large{ \tt{length = 2x = 2(4) = 8}}\)

When we multiply these two numbers, we get 32 cm^2.

Next, we find the perimeter. The formula of perimeter for rectangle is:

\( \large \boxed{ \tt{P = (width + length) \times 2}}\)

We know width and length which are 4 and 8 in order. Substitute in the formula.

\( \large{P = (4 + 8) \times 2} \\ \large{P = 12 \times 2} \\ \large \boxed{P = 24}\)

Hence, the perimeter is 24.

Answer

after you list the factors, you have to read the question back .. the question the length of the rectangle is twice the width .. so 4 × 8 is the correct answer .. and you do as usual to calculate the perimeter ..

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer: In summary, all integers can be classified as either positive, negative, or zero.

Step-by-step explanation:

There are three types of integers: positive integers, negative integers, and zero.

Positive integers: Positive integers are numbers greater than zero, such as 1, 2, 3, 4, and so on.

Negative integers: Negative integers are numbers less than zero, such as -1, -2, -3, -4, and so on.

Zero: Zero is an integer that is neither positive nor negative. It is the only integer that is neither positive nor negative, and it is often referred to as the "origin" on a number line.

In summary, all integers can be classified as either positive, negative, or zero.

Answer: The three types of integers are Zero (Neutral Integers), Negative Integers, and Positive Integers.

Step-by-step explanation:

Negative Integers are the ones that has a value less than zero, examples of these are -7, -8, -9.

Positive integers, on the other hand. Are the ones that has a value more than zero, examples of these are 10, 11, 12, 13.

Note: The key difference between Negative Integers and Positive Integers is that a negative integer has a "-" sign, while a positive integer does not.

Zero are the neutral integers which means that it's the integer that's in the middle of the positive and negative integers, it has neither a positive sign or a negative sign.

Another note: Integers do not include fractions or decimals, only whole numbers.

The unit of measure for kinetic energy is ft² lb² / s² because the velocity is multiplied by the mass and then squared. The correct answer would be an option (D).

Kinetic energy is the energy of motion, which can be seen as a body or subatomic particle moving. Kinetic energy exists in every moving object and particle.

Kinetic energy can be found using the formula Ek = 1/2 mv².

The variable Ek represents kinetic energy, the variable m is the mass in pounds (lbs.), and the variable v is the velocity in feet per second (ft/s).

The unit of measure for kinetic energy is ft² lb² / s² because the velocity is multiplied by the mass and then squared.

The units of measure for mass (lb.), velocity (ft/s), and time (s) are combined to form the unit of measure for kinetic energy.

Thus, the unit of measure for kinetic energy is ft² lb² / s².

Hence, the correct answer would be option (D).

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The class intervals appropriate to use in creating a histogram of the data are 0 – 30, 30 – 55, 55 – 80, 80 – 105, and 105 – 130. The correct option is B.

A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

The width of the intervals must be equal. This means that the difference between the lower bound and the upper bound must be equal. Also, the upper bound of the preceding interval must be the same as the lower bound of the next interval.

This means that the intervals must be overlapping. Of all the options, it is 0 – 30, 30 – 55, 55 – 80, 80 – 105, and 105 – 130 that satisfy both conditions.

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Answer:first option

Step-by-step explanation:

Answer:

C. 50.24

Step-by-step explanation:

Area = (pi)(radius)^2

radius = 4

3.14 x 4^2 = 50.24

Answer:

50.24 ft ^2

Step-by-step explanation:

Answer:

No of sample space , n(s) = 12 + 11 + 17 + 5 = 45

No of favorable cases , n(e) = 17

Probability of getting blue marble ,

P(e) = n(e)/n(s)

       = 17 / 45

NOW

Probability of not getting blue marble,

P'(e) = 1 - p(e)

      = 1 - 17 / 45

     = ( 45 - 17)/45

    = 28 / 45

Hope it helped :)

Step-by-step explanation:

Answer:

The cost is £2.38

Step-by-step explanation:

Find the cost of 1 kg of potatoes:

2.5 kg of potatoes = £1.40

1 kg of potatoes = 1.40 ÷ 2.5 = £0.56

Find the cost of 4.25 kg of potatoes:

1 kg = £0.56

4.25 kg = 0.56 x 4.25 = £2.38

Hope this was helpful !

Also God loves U SO MUCH ! God bless.

Answer:

Step-by-step explanation:

Find the cost of 1 kg of potatoes:

2.5 kg of potatoes = £1.40

1 kg of potatoes = 1.40 ÷ 2.5 = £0.56

Find the cost of 4.25 kg of potatoes:

1 kg = £0.56

4.25 kg = 0.56 x 4.25 = £2.38

Answer: The cost is £2.38

The amount invested in AAA - bonds is $5353, amount invested in

A - bonds is $1681 and amount invested in B - bonds is $3369. The solution has been obtained by using matrices.

What are matrices?

The term "matrix of order m by n," sometimes known as "m × n matrix," refers to a rectangular array of m × n numbers (real or complex), organised into m rows and n columns.

Such a range is bounded by [ ] or ( ).

We are given equations as

x + y + z = $10300

0.045x + 0.05y + 0.09z = $620

2y − z = 0

From this, we get the matrix as

\(\left[\begin{array}{ccc}1&1&1\\0.045&0.05&0.09\\0&2&-1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}10300\\620\\0\end{array}\right]\)

This shows that AX = B

X = A⁻¹B

\(\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\) \(= \left[\begin{array}{ccc}2.42&-31.57&-0.42\\-0.47&10.52&0.47\\-0.94&21.05&-0.05\end{array}\right]\)     \(\left[\begin{array}{ccc}10300\\620\\0\end{array}\right]\)

On solving this, we get

\(\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\)    \(=\left[\begin{array}{ccc}5353\\1681\\3369\end{array}\right]\)

Hence, the amount invested in AAA - bonds is $5353, amount invested in A - bonds is $1681 and amount invested in B - bonds is $3369.

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Ms. Solis' 2008 Honda CR-V depreciates at an average rate of approximately 15.7% per year based on the given information.

To determine the depreciation rate of Ms. Solis' car, we can use the equation for exponential decay, y = \(a(1 - r)^t\), where y represents the current value of the car, a is the initial value, r is the depreciation rate, and t is the time in years. We are given that the initial value (a) of the car was $27,500 and the current value (y) in 2022 is $4,480.    

Substituting these values into the equation, we can solve for the depreciation rate (r). Rearranging the equation, we have: r =\(1 - (y/a)^(1/t)\). Plugging in the given values, we find r = \(1 - (4,480/27,500)^(1/14)\), where 14 represents the number of years from 2008 to 2022.  

Evaluating the expression, we find that r ≈ 0.157, or approximately 15.7%. Therefore, Ms. Solis' Honda CR-V depreciates at an average rate of around 15.7% per year. This means that, on average, the value of her car decreases by 15.7% each year since its purchase in 2008.

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