****************EXTRA CREDIT!!**********************

Anya makes 14 baskets throughout a basketball game. Some of the baskets were worth 2 points. while the others were worth 3 points. in total, anya scored 30 point. how many 2-point baskets did she make?
Part A: Define your variables
Part B: Write two equations for this scenario.
Part C: Determine how many 2-point baskets Anya made.

Answers

Answer 1

let x = the number of 2-point baskets Anya made

y = the number of 3-point baskets Anya made

Equations:

x + y = 14

2x + 3y =

Multiply the 1st equation by 3 to get:

3x + 3y = 42

Subtract above equation by 2nd equation to get:

(3x-2x) + (3y - 3y) = 42 -30

x = 12

Anya made 12 2-point baskets.


Related Questions

Which of the following tables may represent a linear function?

Answers

The table that represents a linear equation is the first one, and the line can be:

y = -4x - 1

Which of the following tables can represent a linear function?

A general linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, notice that if we evaluate the line in x + 1, we will get:

y = a*(x + 1) + b

y = a*x + a + b

So, for an increase of one unit on the variable x, we have a constant increase in the y value.

Now, if you look at the first table, you can see that for each increase of 1 unit on the value of x, the value of y decreases by 4.

So that is the table that can represent a linear function.

And the line is:

y = -4x - 1

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Count the number of different functions with the given domain, target and additional properties
(a) f(0,1}{0,1).
(b) f: (0,1}{0,1). The function f is one-to-one
(c) f. (0,1)5(0,1)
(d) f (0,135 (0,1). The function f is one-to-one

Answers

The number of different functions with the given domain, target and additional properties is as follows:

(a) There are infinitely many different functions, as there is no additional property given that could have the domain (0,1) and the target {0,1}.

(b) The only one-to-one function with the domain (0,1) and the target {0,1} is the identity function, f(x) = x. The additional property is that the function is one-to-one.

(c) The function f has a target of and a domain of (0,1) and (0,1). There are an infinite number of possible functions that could have this domain and target because no additional property is provided.

(d) There are infinitely many different one-to-one functions that could have the domain (0,1) and the target (0,1).

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which equation represents the line that psses through (2,3) and (-2,5)

Answers

The equation of line that passes through (2,3) and (-2,5) is y  = (-1/2)x + 4.

What is the equation of line that passes through the given points?

The point-slope form is expressed as;

( y - y₁ ) = m( x - x₁ )

Where m is slope, x₁ and y₁ are the coordinates of the point .

Given the data in the question;

Point 1 (2,3)

x₁ = 2y₁ = 3

Point 2 (-2,5)

x₂ = -2y₂ = 5

First, determine the slope.

Slope m = (y₂ - y₁)/(x₂ - x₁)

Slope m = ( 5 - 3 ) / ( -2  - 2)

Slope m = 2 / -4

Slope m = -1/2

Plug the slope m = -1/2 and point (2,3) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

( y - 3 ) = (-1/2)( x - 2 )

y - 3 = (-1/2)x - (-1/2)2

y - 3 = (-1/2)x + 1

y = (-1/2)x + 1 + 3

y  = (-1/2)x + 4

Therefore, the equation of the line is y = (-1/2)x + 4.

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The equation 3x62x10x4 is true for all real numbers. The equation 6x22x4x1 has no solution. When do you think an equation has all real numbers as its​ solutions?

Answers

When an equation simplifies to 0=0 then it has true for all real numbers or else it does not have solution.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

3x +6 = 2x +10 +x -4

Subtract (3x+6) from both sides:

(3x +6) -(3x +6) = (2x +10 +x -4) -(3x +6)

0 = x(2 +1 -3) +(10 -4 -6)

0 = 0

0 = 0 . . . . has "all real numbers" as a solution set

6x +2 -2x = 4x +1

Subtract (4x+1) from both sides:

(6x +2 -2x) -(4x +1) = (4x +1) -(4x +1)

x(6 -2 -4) +(2 -1) = 0

0x +1 = 0

1 = 0

Does not have "all real numbers" as a solution set. There is no solution

Hence, when an equation simplifies to 0=0 then it has true for all real numbers or else it does not have solution.

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2. Every day you collect 4 pennies and keep them in a jar. So the first day you have 4 pennies, the (I point)
second day you have 8 pennies, the third of you have 12 pennies, etc. How many do you
have on the 15th day?
075
0 19
015
060

Answers

60 because 4*15 is 60

what’s the range of points on the graph pls help

a- {-2,3,5,6}
b-{2,0,3,4
c{-2,1,0,1,2,3,4,5,6}
d-{3,5,6,-2}

Answers

So on solving the provided question, we can say that from the graph the range can be - {-2,3,5,6} and {2,0,3,4}

What is range?

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

from the graph-

the range can be

- {-2,3,5,6} and {2,0,3,4}

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How many real solutions does this system of equations have? x²+y²=36
3x-y+1=0
A.0
B. 2
C. 3
D. 1

Answers

Answer:  A. 0

This system of equations has no real solutions. The equation x² + y² = 36 represents a circle with center (0,0) and radius 6, while the equation 3x - y + 1 = 0 represents a line in a 2-dimensional plane. Since a line and a circle do not intersect at exactly one point in general, this system of equations have no common point, and therefore no real solutions.

Step-by-step explanation:

x+2=8-x what is the answer to this

Answers

Answer:

[tex]x + 2 = 8 - x \\ \\ \dashrightarrow \: x + x = 8 - 2 \\ \\ \dashrightarrow \: 2x = 6 \\ \\ \dashrightarrow \: x = 3[/tex]

hope helpful ;-;

Answer:

x = 3

Step-by-step explanation:

x+2=8-x what is the answer to this?

x + 2 = 8 - x

move the x to the left and the 2 on the right and change the sign  

x + x = 8 - 2

solve on both sides

2x = 6

divide the two parts by 2

x = 3

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

check

3 + 2 = 8 - 3

5 = 5

the answer is good

confusion of the inverse occurs when we incorrectly believe _______.

Answers

The concept given is a Probability, It is a branch of mathematics that deals with the occurrence of a random event. The answer is P(A|B)=P(B|A).

Probability is the branch of mathematics concerning numerical descriptions of how probable an event is to do, or how likely it's that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Inverse probability is the probability of unobserved effects; or, more technically, the probability distribution of an unobserved variable. It's generally considered an obsolete term.

In probability proposition and statistics, an inverse distribution is the distribution of the complementary of an arbitrary variable. Inverse distributions arise in particular in the Bayesian environment of previous distributions and posterior distributions for scale parameters.

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BD=16 and AC is the
perpendicular bisector of BD.
2x-14
B
21-2
37-x
y+3
BC=[?]
Enter

Answers

Answer:

BC = 8

Step-by-step explanation:

If AC is the perpendicular bisector of BD then

BC = CD = BD/2

BD/2 = 8

So BC = 8

Answer:

the answer is

Step-by-step explanation:

At a run​ festival, 5/7 of the runners are women. If there are 1050 ​runners, how many are​ women?

Answers

Answer: 750

Step-by-step explanation:

5/7 = women

2/7 = men (to get 2/7, 7/7 - 5/7 and you get 2/7)

5/7 x 1050

= 5 x 1050/7

= 5250/7

=750

The / means divide

a. Is the relation shown below a function? Explain.
Relation: (4,16) (5,25) (3,9) (6,36) (2,4) (1,1)
b. What are the domain and range of the relation?

Answers

Answer:

A) The relation is a function.  Every input (x) and only one output (y)

B) Domains are the x values: 1,2,3,4,5,6

The Ranges are the y values: 1,4,9,16,25,36

Step-by-step explanation:

To make a homemade all-purpose household cleaner, you can mix the ingredients shown in the table.

All-Purpose Cleaner
1 cup vinegar
12 cup rubbing alcohol
1 gallon water (16 cups)
Samuel has 1 cup of rubbing alcohol and will use the entire amount. He plans to store the cleaning solution in containers that each hold a maximum of 6 cups. How many containers does he need?

Samuel will need
______ containers.

The total solution will include
cup(s)_____of vinegar,
cup(s)_____of rubbing alcohol, and
cup(s)_____ of water, which is a total of
cups of solution. Five containers will hold 5 × 6, or 30 cups of solution. So, he will need _____ total containers to hold all of the solution.

Answers

3 containers, 1 cup, 12 cup, 16 cups

Samuel will need

3 containers.

The total solution will include

cup(s) 1 of vinegar,

cup(s) 12 of rubbing alcohol, and

cup(s) 16 of water, which is a total of

cups of solution. Five containers will hold 5 × 6, or 30 cups of solution. So, he will need 3 total containers to hold all of the solution.

What are ingredients?

Ingredients refer to the materials or apparatuses combined together to have a single product. In other words, ingredients are the chemical makeups of a refined product which combine together to have new and entirely different product.

The ingredients for a homemade all-purpose household cleaner, in this case, are vinegar, rubbing alcohol, and water.

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1. Solve for BC using Law of Cosines. Round to the nearest tenth when necessary.

Answers

Using cosine law in the triangle given, the length of BC is 32 units

What is Law of Cosine

The law of cosines (also known as the cosine formula) is an equation that relates the lengths of the sides of a triangle to the cosine of one of its angles. It states that:

a² = b² + c² - 2(b)(c) Cos(A)

In the given problem, the data;

AB = 29AC = 23BC = ?angle A = 75°

Substituting the values into the formula and solve for BC;

BC² = 29² + 23² - 2(29)(23) Cos 75

BC² = 1024.735393

BC = √1024.735393

BC = 32.01

BC ≈ 32

The length of side BC in the triangle is 32 units

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(8-2)x(3+2)-1}x3 anwer in need

Answers

Answer:

(6)×(5)-1)3

6×5-3

30-3

=27

find all three-digit numbers that meet these criteria: all digits are distinct, one digit is odd, and the sum of the digits is five.

Answers

Answer:

203, 230, 320, 302, 140, 410, 104, 401

Step-by-step explanation:

To meet the criteria, we have to think of all the ways we can use three distinct numbers, with one of the numbers being odd, which adds up to 5:

1 + 4 + 0 = 5

2 + 3 + 0 = 5

Subsequently, use the numbers we found and rearrange them to form three-digit numbers.

What is the value of x

Answers

Answer: 104

Step-by-step explanation:

Angles at a line are equal to 180 degrees so:

180 = 72 + (x + 4)

180 = x + 76

180 -76 = x + 76 -76

104 = x

8. At sunrise in Townville, Roger
records the air temperature for a
school project, every hour. The
graph shows the change in
temperature over time. Write a
linear function in the form y = mx +
b to represent the situation.
Temperatures
Temperature (°F)
20
16
12
8
O
4 8 12 16 20
Time (h)

Answers

On solving the provided question, we can say that the linear function that can be formed y = mx + b, y = temperature, x = time

What is linear function ?  

Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.

here,

the linear function that can be formed

y = mx + b

y = temperature

x = time

a and b = variables

for first data = 20 = 4m+b

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A person with a systolic blood pressure greater than 120 mmHg and less than or equal
to 139 mmHg is said to have prehypertension. Which inequality represents the range of
systolic blood pressure for a person with prehypertension?
a. 120 < x < 139
b. 120 < x≤ 139
C. 120 ≤x < 139
d. 120 ≤x≤ 139

Answers


A is the answer.

Explanation because if -/128

Which fraction is equivalent to fraction with numerator negative 3 and denominator 2

Answers

The equivalent fraction of -3/2 is the fraction -6/4

How to determine the equivalent fraction

From the question, we have the following parameters that can be used in our computation:

numerator negative 3 and denominator 2

Express the fraction properly

So, we have

-3/2

Multiply the numerator and the denominator by a constant (say 2)

So, we have

-6/4

This implies that -6/4 is equivalent to 3/2

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For what value of x is the rational expression below equal to zero?
2-x+x/2+x

Options:
A. 2
B. 0
C. -1
D. -2

Answers

The value of x for which the rational expression equals to zero is -4

What is System of Linear Equation ?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

A linear equation is an algebraic equation in which each term has an exponent of 1, and which, when plotted on a graph, always yields a straight line. It is called a "linear equation" for this reason.

The equation is

2 - x +x/2 + x = 0

⇒ x/2 = -2

⇒ x = -4

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in spherical geometry, stat an inequality involving the sum of the angles, using x, y, and z as the measures of the angles. what is the inequality?
find a formula for the area of a triangle in spherical geometry, using x, y, and z as the measures of the angles and r as the radius of the sphere. what is the area of ️ XYZ?

Answers

The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.

What is the sum of angles in spherical geometry?

The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.

A category of non-Euclidean geometry, spherical geometry is a subset of elliptical geometry. Any type of geometry that is not founded on conventional planes is known as non-Euclidean geometry. Lines in non-Euclidean geometry are not always the usual straight lines found in Euclidean geometry (i.e., plane geometry).

We require opposing sides and angles in order to use the sine rule. We can utilise this knowledge to locate the side that is opposite the other angle if we know two angles and one of the sides opposite. Accuracy points may be lost because of this.

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A business purchased a new printer.• The number of pages, y, printed by the new printer in x minutes is represented by the equation y = 37x.• The numbers of pages printed by the old printer is represented by the graph. *

Answers

Step-by-step explanation:

pls ans my question interested girl come 15++ come fast

If one For loop is nested within another, then the counter variables for the two loops should be different.
True or False

Answers

You can use the same name (identifier). It may be a different object. They both loop will not affect each other.

Inside the inner or second loop, there is no way to refer to the object used in the first loop (unless you make special bread for that, as by providing a pointer to it).

This is Normally bad style, is prone to confusion, and should be avoided.

The objects are different only if the inner one is defined alone, as with the int I you have shown. If the same name is used without shaping a new object, the loops will use the same object and will interfere with each other.

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Which answers describe the shape below? Check all that apply.
0
A. Rectangle
B. Rhombus
C. Parallelogram
D. Trapezoid
E. Quadrilateral
F. Square

Answers

Answer:

Step-by-step explanation:

it do be a quadrilateral parallelogram and rhombus cause it do

Answer:

Step-by-step explanation:

What is the answer to this

Answers

6 because it’s an opposite

I’m pretty sure I’m right dear^^
You just have to drag the points on number 6 vertically

Use the image below to find y

Answers

Answer:

y = 7

Step-by-step explanation:

since the 2 triangles are congruent then corresponding angles are congruent , so

∠ R = ∠ F , that is

13y - 1 = 90 ( add 1 to both sides )

13y = 91 ( divide both sides by 13 )

y = 7

I believe my answer is y=7

A room measures 12 1/2 feet on each side. How many square feet of carpeting will be needed to completely cover the floor?
A) 25
B) 50
C) 144 1/4
D) 156 1/4

I have the right answer, show work please

Answers

Answer:

156 1/4

Step-by-step explanation:

Assume the room is a square.

side = 12 1/2 ft

area = (side)²

area = (12 1/2 ft)²

area = (12 1/2 ft) × (12 1/2 ft)

area = (144 + 6 + 6 + 1/4) ft²

area = 156 1/4 ft²

Which graph represent the function?

Answers

Answer:

c

Step-by-step explanation:

Help please I am really struggling with my geometry

Answers

Answer:

A) [tex]108^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle 1+m\angle 2=180^{\circ} \\ \\ 72^{\circ}+m\angle 2=180^{\circ} \\ \\ m\angle 2=108^{\circ}[/tex]

The answer to the question is A
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