Will had 64 baseball cards in his collection. He then got 8 more cards. He keeps the cards in a binder. Each page in the binder can hold 9 cards. Complete and solve the equations below to find how many pages of baseball cards Will has.

Answer:

I think

Y=129x-75

Step-by-step explanation:

Sorry if it's wrong I am not as good at math like I was before

Answer:

8

Step-by-step explanation:

Al trazar las diagonales, ¿en cuántos triángulos queda dividido cada polígono? El pentágono, en 3 triángulos. El heptágono en 5 y el decágono, en 8.

Answer:

In a decagon, by joining one vertex to the remaining vertices you can have 8 triangles. If you are considering all the vertices independently you will have a total of 8*10 = 80 triangles.

You can figure out this way: the sum of the interior angles of a decagon = (2n-4)*right angles or (n-2)*triangles. So a decagon will form 8 triangles.

Step-by-step explanation:

Answer:

y = 4x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

11 - 3 / 2 - 0

8 / 2

= 4

y = 4x + b

3 = 4(0) + b

3 = 0 + b

b = 3

A connected graph can be disconnected by removing vertices if and only if it is not a complete graph.

A connected graph is one where there exists a path between any pair of vertices. Removing any vertex from a complete graph will result in a disconnected graph since there will be at least one pair of vertices that are no longer connected. Therefore, a complete graph cannot be disconnected by removing vertices.

On the other hand, if a graph is not a complete graph, it means that there exist at least two vertices that are not connected by an edge. By removing these vertices, we effectively disconnect the graph since there is no longer a path between them.

Thus, it is possible to remove vertices to disconnect a graph that is not a complete graph.

A complete graph cannot be disconnected by removing vertices, while a non-complete graph can be disconnected by removing appropriate vertices.

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Answer:

1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

0=4 ther is just one solution

Answer:4

Step-by-step explanation:

Option 1 is generally the better choice for Jane because it offers a higher rate of return and compounds the interest, which means that the interest earned on the initial investment is also earning interest over time. This can lead to a significantly larger amount of money being earned in the long run compared to simple interest, which is only applied to the initial investment.

For example, if Jane invests $100 in an account that pays 5% compound interest per year, at the end of the first year she will have earned $5 in interest and will have a total of $105 in the account. If she leaves the money in the account for a second year, she will earn interest on the original $100 as well as the $5 in interest that was earned in the first year, resulting in a total of $110.25 at the end of the second year. This process continues year after year, resulting in a steadily growing amount of money.

On the other hand, if Jane chooses option 2 and invests her money in an account that pays simple interest at a rate of 6%, she will only earn interest on the initial investment of $100. For example, at the end of the first year, she will have earned $6 in interest and will have a total of $106 in the account. While this is still more than the amount she would have at the end of the first year with option 1, the difference between the two options becomes more pronounced over time as the compound interest continues to grow.

Overall, option 1 is the better choice for Jane because it offers a higher rate of return and compounds the interest, resulting in a larger amount of money being earned over time.

what is meant by rate of return?

The rate of return is the amount of money that an investment is expected to generate over a certain period of time. It is often expressed as a percentage of the initial investment. For example, if you invest $100 in an account that pays 5% interest per year, the rate of return on that investment is 5%.

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Answer:

-the lines should be straight

-there is no 9.5 thousand number of visitors given on the y axis

Step-by-step explanation:

The two faults are the x axis has 2, 3 and 4 and the year is 2017, 2018 etc. However we do not know the relationship between 2 and 2017. and the line is not smooth.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that Sam has drawn a time series graph to show the numbers, in thousands, of visitors to a theme park.

Jayne, Sam's friend, tells him it is the worst graph she has ever seen

and she can see quite a few things about the graph that are wrong

or misleading.

The x axis has 2, 3 and 4 and the year is 2017, 2018 etc. However we do not know the relationship between 2 and 2017.

The line is not correct when drawing the graph the line used to connect the point should be smooth but the given graph is not smooth.

Hence, the two faults are the x axis has 2, 3 and 4 and the year is 2017, 2018 etc. However we do not know the relationship between 2 and 2017. and the line is not smooth.

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Answer:

16

Step-by-step explanation:

15?

Step-by-step explanation:

Answer:

Area model is one of a simple step to understand the given situation. So to make it simple, we need to decompose the number.

given number = 4.6 and 3

First we need to get the whole number and start multiplying:

Whole number of 4.6 => 4

whole number of 3 => 3

Now, let’s start multiplying the whole number

=> 4 x 3

=> 12

Then let’s multiply the remaining decimal:

=>.6 x 3

=> 1.8

Then add

=> 12 + 1.8

= 13.8

we know that

The area model for multiplication is a pictorial way of representing

multiplication. In the area model, the length and width of a rectangle

represent factors, and the area of the rectangle represents their product

So

in this problem

the factors are

l e n g t h  4.6  w i d e  3

decompose the number  

4.6

4.6 = ( 4 + 0.6 )  A r e a  o f  r e c t an g l e  = A r e a  r e ct a n g l e  1 +  A r e a  re c t a n g l e 2 = ( 4 + 0.6 ) ∗ 3 = 4∗ 3 + 0.6 ∗ 3 = 12 + 1.8 = 13.8

see the attached figure to better understand the problem

therefore

the answer is

the product of  

4.6

and  

3

is equal to  

13.8

Step-by-step explanation:

Answer:

I think the correct answer is 27 so option c. :)

The number of real solutions of a quadratic equation depends on the sign of the discriminant.We can find discriminant by using discriminant formula.

A real solution in algebra is simply a solution to an equation that is a real number. there can be 0, 1, or 2 solutions to a quadratic equation depending on whether the expression inside the square root sign (b2 - 4ac), is positive, negative, or zero.

When the discriminant value is positive we get two real solutions. When the discriminant value is zero we get one real solution. When the discriminant value is negative we get a pair of complex solutions.

So that we can find real solution of quadratic equation by finding discriminant of given equation.

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Designing an experiment to study the factors that help students excel at school involves many factors that impact the students' academic performance. An experiment would involve manipulating independent variables to test the impact they have on the students' academic performance.

A good experiment would consist of a sample of students and categorizing them into groups. The groups would be the control group, treatment group 1, treatment group 2, and treatment group 3. Here is an example of how to design the experiment:

Control group: In this group, the students will continue with their regular academic routine without any changes.

Treatment group 1: The students in this group will participate in the daily exercise program in addition to their regular academic routine. This treatment group will be exposed to physical activity to determine whether it influences academic performance.

Treatment group 2: This group will be exposed to a nutrition program in addition to their regular academic routine. The nutrition program is intended to provide students with a well-balanced diet, including vitamins and minerals.

Treatment group 3: This group will be exposed to a combination of the nutrition program and the daily exercise program in addition to their regular academic routine. This group is expected to perform better than the other groups since they are getting both the benefits of exercise and healthy nutrition.

The independent variables that would be manipulated include daily exercise, nutrition programs, and a combination of daily exercise and nutrition programs. The study aims to determine which independent variable influences academic performance the most. It is expected that the group exposed to both daily exercise and nutrition programs would perform the best.

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Answer:

y = 25

X = 25/2 is the value of X an dy

Answer:

x=5

y=10

Step-by-step explanation:

4x-2y=0

-x-2y=-25

subtract

5x=0-(-25)

5x=25

x=25/5=5

-5-2y=-25

2y=-5+25

2y=20

y=20/2=10

The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that g(x) = 3 - 8x, hence:

When x = -3; g(-3) = 3 - 8(-3) = 27

When x = -1; g(-1) = 3 - 8(-1) = 11

When x = 0; g(0) = 3 - 8(0) = 3

When x = 1; g(1) = 3 - 8(1) = 5

When x = 3; g(3) = 3 - 8(3) = 21

The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

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Step-by-step explanation:

FX=3+5+4+3+5+4

=24

N=6

mean (x)=?

Now,

x=FX÷N

=24÷6

=4

The studio must hold 60 private lessons for the break-even point.

a. The cost to the studio C(x) to hold x private lessons for a given month can be calculated by adding the fixed costs and the variable costs. The variable cost per lesson is $35, so the linear cost function is:

C(x) = 1500 + 35x

b. The revenue R(x) for holding x private lessons for the month can be calculated by multiplying the price per lesson ($60) by the number of lessons:

R(x) = 60x

c. The profit P(x) for holding x private lessons for the month can be calculated by subtracting the cost from the revenue:

P(x) = R(x) - C(x)

= 60x - (1500 + 35x)

= 25x - 1500

d. To determine the number of private lessons that must be held for the studio to break-even, we set the profit function P(x) equal to zero:

25x - 1500 = 0

25x = 1500

x = 60

Therefore, the studio must hold 60 private lessons for the break-even point.

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Answer:

90°, that is all the other angles so it would be 40° and 50°

Step-by-step explanation:

I hope this helps you :)

Answer:

40 degrees

Step-by-step explanation:

the three angles of a triangle must add to 180 and since it is an isosceles two angles must be equal therefore 180-100=80 to be divided by 2.

Answer:

The distance the hiker must travel is approximately 5.5 miles

Step-by-step explanation:

The distance between the two cell phone towers = 22.5 miles

The distance between the hiker's phone and Tower A = 14.2 miles

The distance between the hiker's phone and Tower B = 10.9 miles

The direction of the highway along which the towers are located = East to west

The direction in which the hiker is travelling to reach the highway quickly = South

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

Let 'a', 'b', and 'c', represent the sides of the triangle formed by the imaginary line between the two towers, the hiker's phone and Tower A, and the hiker's hone and tower B respectively, we have;

a = 22.5 miles

b = 14.2 miles

c = 10.9 miles

Therefore, we have;

22.5² = 14.2² + 10.9² - 2 × 14.2 × 10.9 × cos(A)

cos(A) = (22.5² - (14.2² + 10.9²))/( - 2 × 14.2 × 10.9) ≈ -0.6

∠A = arccos(-0.6) ≈ 126.9°

By sine rule, we have;

a/(sin(A)) = b/(sin(B)) = c/(sin(C))

∴ sin(B) = b × sin(A)/a

∴ sin(B) = 14.2×(sin(126.9°))/22.5

∠B = arcsine(14.2×(sin(126.9°))/22.5) ≈ 30.31°

∠C = 180° - (126.9° - 30.31°) = 22.79° See No Evil

The distance the hiker must travel, d = c × sin(B)

∴ d = 10.9 × sin(30.31°) ≈ 5.5

Therefore, the distance the hiker must travel, d ≈ 5.5 miles.

Answer:

E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Step-by-step explanation:

The price will be quoted in euros per kilogram because the price is quoted in currency per weight

Currency in Europe is Euro

Apple have weight

Volume of apple is measured in kilogram

For instance, if the person is buying 10 kilograms of apples for 20 Euro.

Then the price per kilogram = 20/10

=2 Euro per kilogram

Answer:

Step-by-step explanation:

The team draws with a probability of 1 = (0.5 + 0.2) = 0.3

If the team does not win then it loses or draws.

Loosing = 0.2

Draw := 0.3

P(not win) = 0.2 + 0.3 = 0.5

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

Not lose means wins or draws.

P(not lose) = 0.5 + 0.3 = 0.8

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

Not Draw means wins or loses

P(not draw) = 0.5 + 0.2 = 0.7

Of course all of these could be done more directly.

P(not win)= (1 - win) = 1- 0.5 = 0.5

P(not lose) =  ( 1 - lose) = 1 - 0.2 = 0.8

P(not draw) = (1 - 0.3) = 0.7

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Using the arithmetic operation of division -

a) 3 people can be fed by 1 pizza.

b) Maria would need 11 pizzas for 33 people.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

The number of pizzas ordered = 8

The number of people are = 24.

Number of people that can be fed if 1 pizza was there =

Number of people = Number of people that came/ Number of pizza

Use the arithmetic operation of division -

Number of people = 24/8

Number of people = 3

Therefore, 3 people can be fed.

Now, the number of people = 33

Number of pizzas required for 33 people can be obtained as -

Use the arithmetic operation of division -

Number of pizzas = Number of people/ Number of people fed by 1 pizza

Number of pizzas = 33/3

Number of pizzas = 11

Therefore, Maria will require 11 pizzas.

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Answer:

a) \(a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}\)

b) (i) \(a+2c=\begin{pmatrix}-4\\2\end{pmatrix}\)

   (ii) \(k=2\)

Step-by-step explanation:

It is given that,

\(a=\begin{pmatrix}4\\-10\end{pmatrix},b=\begin{pmatrix}-2\\1\end{pmatrix},c=\begin{pmatrix}-4\\6\end{pmatrix}\)

a)

We need to find the value of a+b+c.

\(a+b+c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-2\\1\end{pmatrix}+\begin{pmatrix}-4\\6\end{pmatrix}\)

\(a+b+c=\begin{pmatrix}4+(-2)+(-4)\\-10+1+6\end{pmatrix}\)

\(a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}\)

b)

(i) We need to find the value of a+2c.

\(a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+2\begin{pmatrix}-4\\6\end{pmatrix}\)

\(a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-8\\12\end{pmatrix}\)

\(a+2c=\begin{pmatrix}4+(-8)\\-10+12\end{pmatrix}\)

\(a+2c=\begin{pmatrix}-4\\2\end{pmatrix}\)

(ii) It is given that a+2c=kb, where k is an integer. We need to find the value of k.

\(a+2c=k\begin{pmatrix}-2\\1\end{pmatrix}\)

\(\begin{pmatrix}-4\\2\end{pmatrix}=\begin{pmatrix}-2k\\k\end{pmatrix}\)

On comparing both sides, we get

\(k=2\)

Answer:

3 ≥ n > 2

Step-by-step explanation:

Step 1: Add 12 to all sections.

Step 2: Divide all sections by -7 and flip the signs.

Answer:

B

Step-by-step explanation:

reorganize to combine like terms

-9.4c+c   or   c-9.4c  (they are the same)  = -8.4c

6-5.9=0.1

-8.4c+0.1

Answer:

c

Step-by-step explanation:

brcause i have did it

Inversely proportional means as one variable increases the other variable decreases.

In this problem, x is doubled which means it's increased, therefore, y is decreased.

7 / 2 = 3.5

The new value of y is 3.5

Answer:

x< -11/2

Step-by-step explanation:

Let's solve your inequality step-by-step.

2(4x+1)<3(2x−3)

Step 1: Simplify both sides of the inequality.

8x+2<6x−9

Step 2: Subtract 6x from both sides.

8x+2−6x<6x−9−6x

2x+2<−9

Step 3: Subtract 2 from both sides.

2x+2−2<−9−2

2x<−11

Step 4: Divide both sides by 2.

2x/2<−11/2

x< −11/2

Answer:

Your answer is going to be answer A; (-3,2).

Answer:

A. (-3,2)

Step-by-step explanation:

C (0,0)

where,

(x,y)

Rise/run = y/x

3 units left = run -3 which is x, it's left so it's negative.

2 units up = rise 2 which is y, it's p so it's positive.

C (0,0) = (x,y) = (-3, +2)

So, C (-3,2) since it's already both at zero all you do is replace however if there is another number other than zero you just combine like terms so,

if C was (9,10) the new coordinates would be C (6,12)