María Fernanda buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 6 sugar cookies and 8 oatmeal cookies.

What is the probability that María Fernanda reaches in the bag and randomly selects 2 chocolate chip cookies from the bag?

From the given linear equation graph, we can tell that the equation of the line in slope intercept form is; y = 1.2x + 3

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given graph, we see that;

y - intercept = 3

x - intercept = -2.5

Now, we can find the slope by taking two coordinates;

(-2.5, 0) and (0, 3)

Slope = (3 - 0)/(0 - (-2.5))

Slope = 3/2.5

Slope = 1.2

Thus, the equation of the line is;

y = 1.2x + 3

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

Explanation:

Recall that [tex]i = \sqrt{-1}[/tex]

Square both sides to get [tex]i^2 = -1[/tex]

So,

[tex](i\sqrt{5})^2 = i^2*(\sqrt{5})^2 = -1*5 = -5[/tex]

Ans: The formula that defines the sequence is Tn = 4n - 2

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Given,

No. of photos Marcus took on his cell phone = 18

Ratio of photos took by Marcus and Maribel = 3:4

Let the no. of photos took by Maribel be [tex]x[/tex].

∴ [tex]\frac{18}{x} = \frac{3}{4}[/tex]

⇒[tex]3x = 72[/tex]

⇒ [tex]x = \frac{72}{3} = 24[/tex]

Hence, Maribel took 24 photos.

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A line with slope m then the slope of a line perpendicular to it is ;M = -2/3

A straight line of the form  y = mx + c has its slope as 'm'

It is constant for a line. The more the slope is, the steeper the line is.

Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have negative slope. Horizontal line has 0 slope and vertical line has infinite slope, as it is now at maximum steepness.

To find the slope m of the given line using the slope formula

[tex]m = \dfrac{y-q}{x-p}[/tex]

with (p, q ) = (1, 0) and (x₂, y₂ ) = (x, y)  2 points on the line

m =  (3 -0)/(3-1)

m = 3/2

ALso it is given that a line with slope m then the slope of a line perpendicular to it is ;

M = -2/3

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Answer: y=9 when x=-2

y=5 when x=0

y=-3 when x=4

Step-by-step explanation:

y+2x=5

y=5-2x

y=5-2(-2)

y=5-(-4)

y=5+4

y=9 when x=-2

y=5-2(0)

y=5 when x=0

y=5-2(4)

y=5-8

y=-3 when x=4

The discriminant of the function will be negative.

Option C is true.

What is mean by Discriminant?

The discriminant of the function describe the roots of the function.

Which is defined as for a quadratic equation ax² + bx + c = 0;

D = b² - 4ac

Given that;

The graph of the function is shown in attached figure.

Now,

When the graph has any x - intercepts then the function has a real roots, so the discriminant must be positive.

Here, From the given graph of the function,

We have the function which have no any x - intercept, that is do not cross the x - axis at any point.

Hence, The graph of the function has no real roots.

Thus, We can say that;

The discriminant must be negative.

Therefore, The discriminant of the function is negative.

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As per the given question;

The coordinates of the original triangle ABC with vertices is ;

A(-4, 1), B(-1, 1), and C(-1, 3)

For the first reflection along y-axis, the coordinates of y will remain same and x will reverse to positive.

Y-axis reflection: A(4, 1), B(1, 1), and C(1, 3)

Now, the triangle is again reflected along x-axis.

Thus, for the first reflection along x-axis, the coordinates of x will remain same and y will reverse to positive.

x-axis reflection: A(4, -1), B(1, -1), and C(1, -3)

Rotation: The circular motion of an item around a center is referred to as rotation.

The rotation of triangle ABC 180° about the origin.

Rule for Rotation 180° (Clockwise and Counterclockwise);

(x, y)   ----- > (-x, -y)

A(4, -1)  ------> A(-4, 1)

B(1, -1) ------>  B(-1, 1)

C(1, -3) ------>  C(-1, 3)

Rotation 180° = A(-4, 1), B(-1, 1) and C(-1, 3)

Thus, the result of the coordinates of the new triangle with vertices are found.

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When we have an x-value of 3 the corresponding y-value in the equation is 11.

It should be noted that an equation simply shows the relationship between the expression that's illustrated.

In this case, the function that is represented by the equation function that is represented by the equation y = 3x + 2. and we have an x-value of 3,

Therefore, the value of y will be:

y = 3x + 2.

y = 3(3) + 2

y = 9 + 2

y = 11

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Answer:

B) $46.72

Step-by-step explanation:

Let j = cost of the jeans

j * 1.07 is the cost of the jeans with tax

j * 1.07 = 49.99

Divide each side by 1.07

j * 1.07 /1.07 = 49.99 / 1.07

j =46.72

The jeans can cost no more than 46.72

Answer:

B) $46.72

Step-by-step explanation:
The problem can be expressed as an equation you solve for "y"
y + y * 0.07 = 49.99

We factor out the "y" from the equation and we get
y  * (1 + 0.07) = 49.99

Which is the same as
y * 1.07 = 49.99

We can then divide by 1.07 both sides
y = 49.99 / 1.07

Which yields
y = 46.719

If rounding is allowed the answer is B, otherwise the answer is A. I'll go with the rounded one

Answer:

This is all ready written as a ratio. You could also write it as 11:18, but other than that, your good!

Step-by-step explanation:

Hope it helps! =D

The equation for the line parallel to given line containing C:

y = 8/9x + 64 / 9

What is Parallel line ?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Given that a line's equation is,

y = 8 / 9x - 7

If we contrast this equation with a line's slope-intercept,

this line's slope = 8/9

Since every line parallel to this one will have a same slope,

The parallel line's slope is equal to

The symbol for the line with the slope 'm' and the coordinates (x', y') is

y - y' = m(x - x')

As a result, the equation of the line through (-1, 8) with a slope will be,

y - 8 = 8/9 (x-1)

y =8/9x - 8/9 - 8

y = 8/9x + 64 / 9

Hence, The equation for the line parallel to given line containing C is

y = 8/9x + 64 / 9

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Answer:

L = 4D + 53

After 36 days of work, the road will be 197 miles long.

Step-by-step explanation:

This question requests that an equation is found to represent the relationship between the length of a road and the days that the workers spend working on the road.

We are given that the road is 53 miles long prior to the work done by the construction crew. This means that this will be added in addition to what we will find.

L represents the length of the road after D days. Since the road is lengthened by 4 miles each day, this could be represented by 4 * D, or simply 4D.

Therefore, the equation we find can be written as L = 4D + 53.

Since we need to find how many miles the road will be after 36 days of work, substitute 36 days as D and solve for L:

L = 4(36) + 53

L = 144 + 53

L = 197

Therefore, the road will be 197 miles long after 36 days of construction.

Answer:

1 1/2 cups of chocolate

Step-by-step explanation:

Sophie has

1/2

cup of chocolate which can make

1/3

of a S’more recipe. How many cups of chocolate are needed to make one whole S’more recipe? EXTRA POINTS FOR A CORRECT ANSWER

1 1/2 cups of chocolate because 1/3 takes 3 times to get a whole so 1/2x3=

1 1/2

the monthly payment of $ 668.75 will be paid for the loan for the car.

Total payment for the car = $ 27,635

Money for down payment = $ 5000

Interest for 3 year loan = 6.36 %

Amount on which this interest will be applied = $ 27,635 - $ 5000

Amount = $ 22,635

Interest = 6.36 % of $ 22,635

Interest = 6.36 / 100 × $ 22,635

Interest = 1440 (approx.)

Total amount of loan = $ 22,635 + $ 1440

= $ 24075

Number of months = 3 × 12 = 36 months

So, monthly payment = $ 24075 / 36
= $ 668.75

Therefore, we get that, the monthly payment of $ 668.75 will be paid for the loan for the car.

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First, we will find the weight of each oranges and grape fruit

Let x be the unit weight of orange

Let y be the unit weight of grape fruit

If "10 oranges and 20 grapefruits weigh 35 pounds total"

Then this implies;

10x + 20 y = 35 -----------------(1)

And

If " 16 oranges and 10 grapefruits weigh 23 pounds total"

This implies;

16x + 10y = 23 ---------------------(2)

We can solve the two equations simultaneously.

Using elimination method;

we eliminate y and to do that, the y variables in the two equations must be same, Hence we can achieve that by multiply equation (1) by 10 and then multiply equation (2) by 20

100x + 200y = 350 ----------------------------(3)

320x + 200y = 460 ------------------------------(4)

subtract equation (3) from equation (4)

220x = 110

divide both-side of the equation by 220

x = 0.5

substitute x=0.5 into equation(1) and then solve for y

10(0.5) + 20y = 35

5 + 20y = 35

subtract 20 from both-side of the equation

20y = 35 - 5

20y = 30

divide both-side of the equation by 20

y = 1.5

"13 oranges and 15 grape fruits" = 13 x + 15y

substituting x = 0.5 and y= 1.5 in the above;

13(0.5) + 15(1.5)

=6.5 + 22.5

=29

Hence;

13 oranges and 15 grapefruits will weigh 29 pounds

Answer:

C (50, - 40 )

Step-by-step explanation:

C is the midpoint of AB

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = A (0, - 80 ) and (x₂, y₂ ) = B (100, 0 ) , then

C = ( [tex]\frac{0+100}{2}[/tex] , [tex]\frac{-80+0}{2}[/tex] ) = ( [tex]\frac{100}{2}[/tex] , [tex]\frac{-80}{2}[/tex] ) = (50, - 40 )

Given the shown figure

since

The Central Angle Is Twice The Inscribed Angle

where

a= mACB

2a = mAPB=56

then

a= mACB=28

Correct answer

option b

28

The list which orders the numbers from least to greatest is π, √15, 4.1, 4. 85, √30.

To find the list which orders the numbers from smallest to largest we need to find the values of the respective numbers,

In the first list, we have the numbers √13, 2.1, 5.4, √/17, π. The value of √13 = 3.6 and the next term is 2.1. As 2.1 < 3.6, the list does not arrange numbers in increasing order.

In the second list, we have the numbers π, 3.2, 6.3, √17, √20. The value of π is 3.14 and the next terms are 3.2 and 6.3 which are more than the former. But the value of √17 is 4.1 which is less than the previous number 6.3.

In the third list,√23, 2.6, 1.3, √30, π the numbers are not arranged in increasing order as √23's value is 4.8 more than the second number.

In the fourth list, π,√15, 4.1, 4. 85, √30 the numbers are arranged in increasing order when calculated. The value of π is 3.1, of √15 is 3.8, then there are 4.1 and 4.85, and at last, is √30 whose value is 5.5.

Hence, π <√15 < 4.1 < 4. 85 <√30 is the list in the increasing order.

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Answer:

6 levels

Step-by-step explanation:

60 - 5 (to set up the character)

55 total minutes

8(l) = 55

L = 55/8

L = 6.875

.˙. they can finish 6 levels

Answer:

90

Step-by-step explanation:

4 x 23 = 92
2 x (-1) = -2
1 x 0 = 0

92 + (-2) + 0 = 90

Answer:

The error is in line A. f(x), not x, is equal to 21.

f(x) = 2x - 1 = 21

2x = 20, so x = 10.

Answer:x^2*y/(4/5)

Step-by-step explanation:

That's the equation. Your question is the word form.

Answer: -85/272

Step-by-step explanation:

-17/8 divided by 34/5

then opposite reciprical

-17/8 x 5/34

-85/272 (check if you can simplify)

Answer:

[tex]-98y^2+70y[/tex]

Step-by-step explanation:

Expand the equation [tex]-14y(7y-5)[/tex], we get

[tex](-14y*7)-(-14y*5)[/tex]

Which is equal t0:o

[tex]-98y^2+70y[/tex]

The product of given monomial by binomial is -98y²+70y.

Given that, -14y(7y - 5).

To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.

Using distributive property, multiply given monomial by binomial. That is,

-14y(7y - 5)=-14y×7y - (-14y)(5)

= -98y²+70y

Therefore, the product of given monomial by binomial is -98y²+70y.

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Using a system of equations, the number of people on each tour is given as follows:

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the context of the given problem.

For this problem, the variables are described as follows:

All the tours were fully booked, hence the following equation is used in all cases:

x + y = 19.

Four the first tour, considering the values of the ticket and the total receipts, the following equation is built:

169x + 129y = 2931.

Using a calculator, the solution is:

x = 12, y = 7 -> 12 adults and 7 children.

For the second tour, the equation is:

169x + 129y = 3011.

Hence:

x = 14, y = 5 -> 14 adults and 5 children.

For the third tour, the equation is:

169x + 129y = 2771.

The solution is:

x = 8, y = 11 -> 8 adults, 11 children.

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Answer:(a+1) (ba+b−5)

Step-by-step explanation:

Step-by-step explanation:

the perpendicular line can be represented by bx-ay+k=0 ,So the second step Is Written

since the line passes through point (-4,1) ,the value of x and y is Substitute as written in answer

Answer:

y=-2x-7

Step-by-step explanation:

3x-6y=18 also equals 3x-18=6y

divide both sides by 3 to get x-6=2y or y=x/2-3 as same line then, to find inverse switch x and y, x=(y/2)=3 and solve for y, y-6=2x, -y=2x+6 is the inverse then to make it pass thru (-4,1) change b value, y=-2x-7

Answer:

y = (1/2)x + -3

Step-by-step explanation:

Point 1: (0, -3); Point 2: (6, 0)

            (x₁, y₁)                (x₂, y₂)

       y₂ - y₁           0 - (-3)      0 + 3         3           1

m = ------------- = ------------ = ---------- = -------- = --------

        x₂ - x₁            6 - 0           6            6           2

y - y₁ = m(x - x₁)

y - (-3) = (1/2)(x - 0)

y + 3 = (1/2)x

   - 3              -3

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

y = (1/2)x - 3

I hope this helps!

Answer: y=0.5x-3

Step-by-step explanation:

[tex]\displaystyle\\(0,-3)\ \ \ \ (6,0)\\ \frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} \\\\x_1=0\ \ \ \ x_2=6\ \ \ \ \ y_1=-3\ \ \ \ \ y_2=0\\\\\frac{x-0}{6-0} =\frac{y-(-3)}{0-(-3)}\\\\\frac{x}{6} =\frac{y+3}{0+3} \\\\\frac{x}{6} =\frac{y+3}{3}[/tex]

Multiply both parts of the equation by 3:

[tex]\displaystyle\\\frac{x}{2} =y+3\\\\0.5x=y+3\\\\0.5x-3=y+3-3\\\\0,5x-3=y\\\\Thus,\ y=0.5x-3[/tex]