Riley read 1 book in 2 months. If she reads at a constant rate, how many books did she read in one month? Give your answer as a whole number or a FRACTION in simplest form.On the double number line below, fill in the given values, then use multiplication or division to find the missing value.

Given: Alfred has 12 coins in his piggy bank. Some of the coins are quarters, some are nickels, and have a total of $3.15.

Required: To determine the system of linear equations for the given situation.:

hello

the question given request we write an equivalent expression as the one given which is

an equivalent expression to the one above would be

so, we can say

Advanced tickets(x): $15

Same day tickets(y) : $30

For one more performance there are 55 tickets sold

x+ y= 55 (a)

The total amount paid for them was 1275

15x+30y= 1275 (b)

System of equations:

x+y= 55 (a)

15x+30y = 1275 (b)

Solve for x in (a)

x=55-y

Replace x on (b)

15(55-y)+30y = 1275

82

From the information provided we will have that the predictions will be:

*Line of best fit:

So, the extrapolation from the line of best fit is 4.9 sold.

*Curve of best fit:

So, the extrapolation for the curve of best fit is 32.2 sold.

The formula for the area of a sector of a circle is:

Where

θ is the angle

r is the radius

Given,

θ = 100

r = 7

We substitute into the formula and figure the answer out [remembering to use 3.14159 as π]:

Rounding to the nearest thousandth [3 decimal places], we have:

Let me check your question

T= the period = 6.28

_________________

Answer

L= 32

Answer:

c. you can't be feeling alive with wearing,weakness of body and mind.

Perpendicular line are reciprocals

slope of the original line = -1/9

slope of the perpendicular line = 9

option B

The cost of renting per hour = $2

For 1 hour = $2

For each additional hour, it is $1

For 2 hours = First hour + 1(additional hour)

For 2 hours = $2 + $1(1) = 2+1 = $3

For 3 hours = $2 + $1 (2) = 2+2 = $4

For 4 hours = $2 + $1(3) = 2+3 = $5

The graph which shows this rental cost as 2, 3, 4, 5 is option B

Answer: [tex]r(s(5))=-26[/tex]

Step-by-step explanation:

[tex]s(5)=5^2 +2=27\\\\r(s(5))=r(27)=-27+1=-26[/tex]

Solve the given equation for x as shown below

Problem

Which of the following equations represents a line that passes through the

points (6,-5) and (-6, -7)?

Solution

For this case the equation for a line is given by:

y= mx +b

And we can find the slope m with this formula:

And replacing we got:

Then we can find the intercept with this formula:

-5 = 1/6 (6)+b

And solving for b we got:

b= -5-1 =-6

And our equation would be:

y= 1/6 x -6

And the best option would be:

I.

In the expression 3/3=_/21, it can be observed that 7 is multipled by denominator 3 in order to obtain 21 in in denominator. So same number, 7 is also multiplied with the numerator also.

So, 21 is to be filled at blank space.

Question:

Solution:

Step 1: Find the equation of a line:

Notice that the line passes through the point (x2,y2)= (4,-2) and (x1,y1)=(0,3). Then, the slope of this line would be:

now, notice that the y-intercept of this line is b=3. Then, the equation for this line is:

Step 2:

note that the shaded region is all points on the line and those above it. So, the shaded region can be represented by the following inequality:

and it is shown graphically like this:

So that, we can conclude that the correct answer is:

Explanation

We are asked to fill in the missing blanks

Part 1

The weight of a Candy bar is in grams

So the answer will be

Amanda bought a candy bar. Its mass was about 50 grams

Part 2

A dollar bill should be about 15 centimeters

Therefore, the answer is

A dollar bill is about 15 centimeters long

Part 3

A can of soda should a capacity in mililiters

Therefore, the answer will be

The can of soda held about 350 mililiters

The probability that we do not dealt a card with number 2 to 9 is 5/13

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given,
A pack of card = 52 cards

The Cards having Hearts = 13

The Cards having Spade = 13

The Cards having Diamond = 13

The Cards having Clubs = 13

According to question

The cards numbered from 2 to 9 are 8 cards, specifically 2, 3, 4, 5, 6, 7, 8, and 9.

But there are four suits:  diamonds, hearts, spades, and clubs.

Therefore you multiply 8 by 4 to get 32

The probability of getting dealt one of those cards would be:

32/52, or

8/13

But we have to find the probability of not getting such cards

Thus,

1 - 8/13 = 5/13

Hence,  the probability that you are not dealt a card with number from 2 to 9 will be 5/13

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Given

The graph

Two boundary points

We have the next system of equations

2x+3y=0 ...(1)

6x+9y=0 ...(2)

I order to solve this system by elimination we will multiply the first equation by -3

So we will have

-6x-9x=0

then we add the equation above with the second equation

-6x-9x=0

+6x+9y=0

As we can see we obtain 0=0 which means that we have infinity solutions

ANSWER

Infinity solutions

The two rational number D and point R are found as 2/7 and 4/7 respectively.

For the given question.

The number line is given with the rational number D and R to be plotted.

There are 7 units between the points 4 and 5.

D point is 2 units right of 4.

Thus, D = 2/7

R point is 4 units right of point 4.

Thus, R = 4/7

Thus, the two rational number D and R are found as 2/7 and 4/7 respectively.

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Answer:

Step 1 of 2:
-26x - 5 = x - 56

Step 2 of 2:
17/9   or 1.89

Step-by-step explanation:

1. Putting word statement in algebraic form

Step 1:
Let x be the unknown number ==> x is the unknown variable to be used in the equation and to be solved for

Step 2:
-26 times a number minus 5 ==> -26x - 5

Step 3:
is equal to 56 less than the number  ==> = x - 56

Putting it all together:
-26x - 5 = x - 56

2. Solving the equation
-26x - 5 = x - 56

1. Subtract x from both sides:
-26x - 5 - x = x - x  -56

-26x -x - 5 = -56

-27x - 5 = -56

2. Add 5 to both sides
-27x - 5 + 5 = -56+ 5

-27x = -51

x = -51/-27   (dividing both sides by -27)

x = 51/27    (negative divide by negative results in positive)

Reduce 51/27 by dividing numerator and denominator by 3

x = (51 ÷ 3)/(27 ÷ 3) = 17/9

= 1.88888.... = 1.89 rounded to two decimal places

Answer: No solutions

Step-by-step explanation:

[tex]5|x+1|+7=-38\\\\5|x+1|=-45\\\\|x+1|=-9[/tex]

However, as absolute value is non-negative, there are no solutions.

The most appropriate choice for LCM of two numbers will be given by -

All the friends together can eat lunch on  14th December 2023.

What is LCM?

LCM means Lowest Common Multiple. LCM of two numbers a and b is the least number that is divisible by both a and b.

Friend 1 eats lunch together at Chipotle everyday including weekends

Friend 2 eats lunch together at Chipotle every other day including weekends

Friend 3 eats lunch together at Chipotle every third day including weekends

Friend 4 eats lunch together at Chipotle every fourth day including weekends

Friend 5 eats lunch together at Chipotle every fifth day including weekends

Friend 6 eats lunch together at Chipotle every sixth day including weekends

Friend 7 eats lunch together at Chipotle every seventh day including weekends

Number of days after which all the friends together can eat lunch

= LCM of 1, 2, 3, 4, 5, 6, 7 = 420 days

All the friends together can eat lunch after 420 days

All the friends together can eat lunch on =

(31 - 20) + 30 + 31 + 31  + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 +14 = 14th December 2023

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For this type of problems we use the formula for the volume of a pyramid:

Substituting h=12 yd and knowing that the area of a square is side*side we get that:

Solution

- The solution steps are given below:

Final Answer

The answer is 16

The parental function of the graph is,

The transformed function of the graph is,

The transformation between the parent function and the transformed function will be resolved graphically.

From the graph above, the parent function is represented with red while the transformed image is represented with green colour.

We can conclude that the parent function was shrinked horizontally by 1/2.

Hence, it shrinks the graph horizontally to 1/2 the original width.

The correct option is Option

Given a midline of 4, an amplitude of 3 and a period of 2/3 we are asked to write a sine function.

Explanation

The equation of a sine function is given as

Where A is the amplitude, T is the period and B is the midline of the sine function.

Therefore, we will have;

Answer:

A line can be written as an equation in the slope-intercept form:

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

We know the slope:

The y-intercept is the y value of the graph where it intercepts the y-axis, which happens when x = 0.

We know that the point x = 0 and y = 3 is on the line and, since the value of x is 0. the y value is the y-interceot, so:

Thus, we have the equation:

To calculate the other points, we just need to substitute their x values and get their y values:

x = 1:

So, when x = 1, y = 6

x = 2:

So, when x = 2, y = 9.

x = 3:

So, when x = 3, y = 12;

So, the complete table is:

x | 0 | 1 | 2 | 3

y | 3 | 6 | 9 | 12

Answer

Options A and C are correct.

The triangle is a Scalen triangle and it is also an Acute triangle.

Explanation

To answer this question, we first explain what these type of triangles are

According to side lengths,

- Scalene triangle has none of its three sides having the same length as another. All the three sides have different lengths. To use angle to know this, all the three angles of a Scalene triangle have different values.

- Isoscelles triangle has two of its sides with the same lengths. In terms of angles, an Isoscelles triangle has two of its angles equal to each other.

- Equilateral triangle has all of its sides equal to one another. In terms of angles, all of the angles of an Equilateral triangle are equal to one another. Each of the angle is equal to 60°.

According to the angles,

- Acute triangle has all of the angles in the triangle being less than 90 degrees.

- Right angle triangle has one of the angles in the triangles being equal to 90 degrees.

- Obtuse triangle has one of the angles in the triangle being greater than 90 degrees but obviously less than 180 degrees.

For this triangle,

We can see that all of its sides have different lengths. Hence, the triangle is a Scalene triangle.

Also, each of the angles of the triangle is less than 90 degrees. Hence, the triangle is an Acute triangle.

Hope this Helps!!!

Given the function

The graph of the function is dhoe below