kendra has 120 stickers . 10 stickers fill a page. how many pages can she fill?​

Answers

Answer 1

Answer:

12 pages

Step-by-step explanation:

According to the question Kendra have 120 stickers

10 stickers fill a page

So, number of pages that can be filled be 120 stickers = [tex] \frac{120}{10} = 12[/tex]

Therefore, she can fill 12 pages by 120 stickers.

Answer 2

The total number of pages Kendra can fill with a total number of 120 stickers is 12 pages.

Kendra has 120 stickers, and 10 stickers fill a page.

To calculate how many pages she can fill, divide the total number of stickers by the stickers per page:

120 stickers ÷ 10 stickers/page = 12 pages.


Related Questions

solve for x 2/x+1/2=3/4

Answers

X in the equation 2/X+1/2=3/4 equals 8

We can find this by first finding the common denominator of 1/2 and 3/4 which is 2/4.

Then we can ask, 2/4+?=3/4

By asking this question we can find out that 2/4+1/4=3/4

With this new knowledge we can now ask 2/?=1/4. Which will lead us to the answer 8.

Given the function f(x) = 2x − 5 and g(x), which function has a greater slope?


x g(x)
2 0
4 5
6 10

1. f(x) has a greater slope.
2. g(x) has a greater slope.
3. The slopes of f(x) and g(x) are the same.
4. The slope of g(x) is undefined.

Answers

It’s 2 sorry if I’m wrong

Answer:  The correct option is

(B)  g(x) has a greater slope.

Step-by-step explanation:  We are given the following two functions :

[tex]f(x)=2x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

and

x                    2                      4                    6

g(x)                0                      5                     10

Comparing equation (i) of f(x) with the slope-intercept form y = mx+c, we get

[tex]\textup{slope, m}=2.[/tex]

Now, we know that if a linear function contains two points (a, b) and (c, d), then its slope is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Since (2, 0) and (4, 5) are two points on g(x), so its slope will be

[tex]m=\dfrac{5-0}{4-2}=\dfrac{5}{2}=2.5.[/tex]

Therefore, slope of f(x) = 2 and slope of g(x) = 2.5.

Thus, slope of g(x) is greater.

Option (B) is CORRECT.  


The speed of a falling object increases at a constant rate as time increases since the object was dropped. Which graph
could represent the relationship between t time in seconds, and s, speed in meters per second?

Answers

Answer:

Step-by-step explanation:

As the object is falling from a fixed Distance, so Speed increases as time increases.

Both speed and time are Directly proportional to each other if distance remains constant.

S = k T

When , T=0, S=0

T=1 s, S=1 m/s

T=2 s, S= 2 m/s

\frac{dS}{dT}=k=Change in speed(Average Speed), if it is Change in Velocity then it will be equal to =a (Acceleration).

Answer:

A on edge 2021

1. Change the following subtraction problems into addition problems.
a. -2-3
b. 8-(-1)
C. 4-9

Answers

Answer:

a. -2 + (-3)

b. 8 + 1

c. 4 + (-9)

Final answer:

The given subtraction problems can be changed to addition like -2-3 becomes -2+(-3), 8-(-1) becomes 8+1, and 4-9 becomes 4+(-9).

Explanation:

To change a subtraction problem into an addition problem, you can apply the concept that subtracting a number is equivalent to adding its opposite. This principle can be used to transform the given subtraction expressions into addition expressions as follows:

-2 - 3 is equivalent to -2 + (-3)

8 - (-1) is equivalent to 8 + 1 because subtracting a negative is like adding a positive.

4 - 9 is equivalent to 4 + (-9)

When adding numbers, follow these rules depending on the signs:

When two positive numbers are added, the result is positive (3 + 2 = 5).

When two negative numbers are added, the result is negative (-4 + (-2) = -6).

When adding numbers with opposite signs, subtract the smaller number from the larger one, and the result takes the sign of the larger number (-5 + 3 = -2).

Sketch a cube with 3 cm

Answers

Answer:

Step-by-step explanation: is This what you want?

ix is at least four more than a number. Which inequality represents this sentence? Question 20 options: a) 4 ≤ n + 6 b) 6 ≤ n + 4 c) 4 ≥ n + 6 d) 6 ≥ n + 4

Answers

Answer:

d) 6 ≥ n + 4

Step-by-step explanation:

Let n be the unknown number,

4 more than n = 4 + n

In inequality we use '≥' to represent greater than equal to or at least,

Thus,

Six is at least four more than a number.

⇒ 6 ≥ 4 more than n

⇒ 6  ≥ 4 + n

Which is the required inequality that represents the given statement,

OPTION d) is correct.

Answer:

b)   6 ≥ n + 4

Step-by-step explanation:

The area of a closet is 100 square feet. Write the number in exponent form and in word form

Answers

Answer:

[tex]10^{2}[/tex]

one hundred

Step-by-step explanation:

10 × 10 = 100

Final answer:

100 square feet can be written in exponent form as 10^2, which is read as 'ten squared'. The word form of this is 'one hundred'.

Explanation:

The area of the closet is given as 100 square feet. This can be written in exponent form as 102. The '^' symbol denotes an exponent, which means 'raised to the power of'. Here, '10' is the base and '2' is the exponent, indicating that 10 is multiplied by itself once. In word form, this can be referred to as 'ten squared' or 'one hundred'.

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Identify the rule for the following pattern:
99, 90, 81...

Answers

The pattern is subtracting 9

Danielle needs to walk 3 miles. If she wants to reach her destination in 45
minutes (3/4hour), how fast does she need to walk?

Answers

Answer: She needs to walk 5 miles an hour

There's two numbers 2.5 miles and 0.5 hours, you divide that, and you get the number 5, so that means, 5 miles an hour

She needs to walk at a speed of 4 miles/hour to reach the destination in 45 minutes.

What is Speed?

Speed is the ratio of the total distance covered by an object and the required time to cover that by that object. It is also called Velocity.

[tex]Velocity=\frac{Distance}{Time}[/tex]

Velocity is the measurement which shows an object is how fast.

In this given problem,

The total distance Danielle needs to cover by walking is 3 miles.

She needs to reach the destination in 45 minutes

We know that,

60 minutes = 1 hour

1 minute = [tex]\frac{1}{60}[/tex] hour

45 minutes [tex]=\frac{45}{60}=\frac{3}{4}[/tex] hours

So she has to have the velocity/speed of [tex]=\frac{3}{\frac{3}{4}}=3\times\frac{4}{3}=4[/tex] miles/hour

Hence she needs to walk 4 miles/hour.

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Write a system of equations and then solve for each variable.
3. The Arcadium arcade in Lynchburg, Tennessee uses 3 different colored tokens for their game machines. For
$20 you can purchase any of the following mixtures of tokens: 14 gold, 20 silver, and 24 bronze; OR, 20 gold, 15
silver, and 19 bronze; OR, 30 gold, 5 silver, and 13 bronze. What is the monetary value of each token?​

Answers

Answer:

Gold=$0.5

Silver=$0.35

Bronze=$0.25

Step-by-step explanation:

This is the system of equations:

[tex]\$20=14G+20S+24B[/tex] (1)

[tex]\$20=20G+15S+19B[/tex] (2)

[tex]\$20=30G+5S+13B[/tex] (3)

Let's begin by substracting (2) from (1):

[tex]\left \{ {{\$20=14G+20S+24B} \atop {-\$20=-20G-15S-19B}} \right[/tex]

[tex]\$0=-6G+5S+5B[/tex] (4)

Isolating [tex]G[/tex] from (4):

[tex]G=\frac{5S+5B}{6}[/tex] (5)

Substituting (5) in (3):

[tex]\$20=30(\frac{5S+5B}{6})+5S+13B[/tex]

[tex]\$20=30S+38B[/tex]  (6)

Substracting (3) from (2):

[tex]\left \{ {{\$20=20G+15S+19B} \atop {-\$20=-30G-5S-13B} \right[/tex]

[tex]\$0=-10G+10S=6B[/tex]

Isolating [tex]G[/tex]:

[tex]G=\frac{10S+6B}{10}[/tex] (7)

Making (5)=(7):

[tex]\frac{5S+5B}{6}=\frac{10S+6B}{10}[/tex]

Isolating [tex]B[/tex]:

[tex]B=\frac{5}{7}S[/tex] (8)

Substituting (8) in (6):

[tex]\$20=30S+38(\frac{5}{7}S)[/tex]  

Isolating [tex]S[/tex]:

[tex]S=\$0.35[/tex]  (9) This is the monetary value of silver token

Substituting (9) in (6):

[tex]\$20=30(\$0.35)+38B[/tex]

Finding [tex]B[/tex]:

[tex]B=\$0.25[/tex] (10) This is the monetary value of bronze token

Substituting (10) and (9) in (1):

[tex]\$20=14G+20(\$0.35)+24(\$0.25)[/tex]

Finding [tex]G[/tex]:

[tex]G=\$0.5[/tex] (11) This is the monetary value of golden token

Please put these from greatest to least.

Answers

2.485

2.463

2.90

hope this helps

Answer:

2.90, 2.463, 2.485

Step-by-step explanation:

I'm pretty sure when you do this you need to find the number that's closest to one (2.90). The bigger the number the less it's closer to one. If that makes sense.

I'm pretty sure I did this right. If i'm wrong I do apologize.

(I haven't done greatest to least for decimals in awhile. So seriously i'm sorry if this is wrong)

‼️‼️solve by substitution {2p-3r=6
{-2p+3r=-6 all these problems w work shown r due in the morning pls help !!

Answers

Answer:

#7: (p, r) = (0, -2) #8: (z,w) = z, [tex]\frac{8}{3}[/tex] + [tex]\frac{4}{3}[/tex]z), ∈R  #9: (c,d) = (3,3) #10: (u,x) ∈∅ #11: (a,b) = (-1, 2) #12:

Step-by-step explanation:

#7

Solve for 2p

2p - 3r = 6

2p = -6 -3r

substitute the given value of 2p into equation 2p - 3r = 6

-6 - 3r - 3r = 6

solve for r

r= -2

substitute value of r in equation

2p = -6 - 3x (-2)

solve for p

p=0

solution is ordered pair (p,r) = (0, -2)  

#8

Solve for w

w= [tex]\frac{8}{3}[/tex] + [tex]\frac{4}{3}[/tex]z

substitute the given value of w into equation

6 ([tex]\frac{8}{3}[/tex] + [tex]\frac{4}{3}[/tex]z) - 8z = 16

solve for z

z ∈ R

The statement is true for any value of z and w that satisfy both equations from the system. Therefore, the solution is in parametric form.

(z,w) = z, [tex]\frac{8}{3}[/tex] + [tex]\frac{4}{3}[/tex]z)

#9

Solve for c

c + d = 6

c = d

substitute the given value of c into equation c + d = 6

d + d = 6

solve for d

d=3

substitute value of d in equation

c=3

solution is ordered pair (c,d) = (3,3)

#10

Solve for u

u= 3-2x

substitute the given value of c into equation

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

solve for x

x ∈∅

Since the system has no solution for x the answer is  

(u,x) ∈∅

#11

Solve for b

b= 5+3a

substitute the value of b into equation

3a + 5 + 3a+ b = -1

solve for a

a= -1

substitute the value of a into equation

b= 5 + 3x (-1)

solve for b

b=2

solution is ordered pair (a, b) = (-1, 2)

Final answer:

The system of equations leads to a true statement when added together, indicating that the two equations represent the same line and thus have infinitely many solutions. There's no unique solution for the variables but rather a relationship where each value of p corresponds to a specific value of r.

Explanation:

To solve the system of equations by substitution, let's first identify the given equations and the unknown variables. The two given equations are 2p - 3r = 6 and -2p + 3r = -6. We need to solve for the unknown variables p and r. Notice that adding these two equations together will eliminate both p and r, giving us an identity 0 = 0, which indicates the system has infinitely many solutions or the equations represent the same line.

Here's the process to verify this:

First equation: 2p - 3r = 6

Second equation: -2p + 3r = -6

Add the two equations: (2p - 3r) + (-2p + 3r) = 6 - 6

This simplifies to: 0 = 0

Since we have derived a true statement that does not involve the variables p and r, it is clear that these two equations are dependent and represent the same line. Therefore, there isn't a unique solution for p and r, but rather an infinite number of solutions where each value of p corresponds to a specific value of r that will satisfy both equations.

To check if the answer is reasonable, we can take any point that lies on this line and see if it satisfies both original equations, confirming that it is indeed a solution.

Draw a quick picture of 3 hundreds, 5 tens and 7 ones. What number does your quick picture show? Write in the three different ways

Answers

Answer:

The table represents the start of the division of

Step-by-step explanation: instgram mack.thrasher

In the figure attached, the quick picture can be seen. See the second picture for clarification.

Another way to represent that number is in a table format, as:

Hundreds   tens   ones

      3             5         7

Finally, 3 hundreds 5 tens and 7 ones are equal to 300 + 50 + 7 = 357

In the standard (4) coordinate plane, the coordinates of the midpoint of AB are (6,8) and the coordinates of A are
(3,2). What are the coordinates of B ?

A. (0,-4)
B.(3,6)
C.(9/2,5)
D. (9,14)
E.(-3,-6)

Answers

Final answer:

To find the coordinates of point B, use the midpoint formula and solve the equations.

Explanation:

To find the coordinates of point B, we can use the formula for finding the midpoint of a line segment. The midpoint of AB is given as (6,8), and the coordinates of A are (3,2). Let's call the coordinates of B as (x,y).

According to the midpoint formula, the x-coordinate of the midpoint is the average of the x-coordinates of A and B, and the y-coordinate of the midpoint is the average of the y-coordinates of A and B.

So, we can set up the following equations:

(3+x)/2 = 6 and (2+y)/2 = 8

Solving these equations, we find that x = 9 and y = 14.

Therefore, the coordinates of point B are (9,14).

Angles D and F are ______ because they are ______ angles.

Answers

Answer:

corresponding

Step-by-step explanation:

Answer:congruent because they are corresponding angles.

Step-by-step explanation:

What is the range of the function on the graph

Answers

Answer:

Y ≤ 3

Step-by-step explanation:

The Domain is the x values the function holds, while the range is the y values the function holds. This means that, looking at the graph, the range of the function is all y values less than or equal to 3, or Y ≤ 3.

Y is less than it equal to 3

I need help on this question

Answers

Good luck I’m actually looking for answers just like this

Evaluate this exponential expression.
4. (2 + 5)2 - 52 =
A. 46
B. 144
c. 8
D. 171

Answers

Answer:

B

Step-by-step explanation:

Given

4(2 + 5)² - 52

Evaluate the parenthesis

4 × 7² - 52 ← evaluate the exponent

4 × 49 - 52 ← evaluate the multiplication

= 196 - 52 ← evaluate the subtraction

= 144 → B

Answer: D 171

Step-by-step explanation:

Classify the following Triangle

Answers

Answer:

equilateral triangle

Step-by-step explanation:

all sides are equal

Hey!

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

Answers:

Equilateral

Acute

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

Explanation:

The lines on each side show that all the sides are the same length. Acute angles are angles that are less than 90 degrees. Each angle is less than 90 degrees.

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

Hope This Helped! Good Luck!

On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 4, negative 4) and goes up to an open circle at (negative 1, 2). The second line has a closed circle at (negative 1, 3), continues horizontally to (1, 3), and then goes down to a closed circle at (4, 0).
What is the value of h(3)?

–2
–1
1
2

Answers

Answer:

1

Step-by-step explanation:

The last part of the line starts from (1,3) and goes to (4,0)

We have two points, so we figure out the equation of this line with the formula:

y = mx + b, where m is the slope and b is the y intercept

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{0-3}{4-1}=\frac{-3}{3}=-1[/tex]

So we can now write  y = -x + b

Plugging in a point (1,3), we get:

3 = -1 + b

b = 3+1 = 4

The equation is y = -x + 4

To find h(3), we substitute 3 into x and find the value of y:

y = -x + 4

y = -3 + 4

y = 1

Thus, h(3) = 1

What is the coefficient of each monomial?
a. 5pk
b. f
c. –9t
d. –j

Answers

a.) 5
b.) 1
c.) -9
d.) -1

Remember: LEADING coefficient. Meaning the number in the very front. for b, there’s an invisible 1. The leading coefficient of b is 1. Just a little tip

Step-by-step explanation:

Look at the picture

a. 5pk → 5

b. f = 1f → 1

c. -9t → -9

d. -j = -1j → -1

Given f(x)=10-2^x, find f(7)

Answers

f(7) = 10 - 2^7
f(7) = 10 - 128
f(7) = -118

Answer:

Step-by-step explanation:

f(x)=10-2^x,

f(7) = 10 - 2^7     but : 2^7 = 128

so : f(7) = 10 - 128 = - 118

only the circled ones please!!!!! Due today!!!!!! Will give brainliest and 5stars!!!

Answers

Answer:

[tex]\boxed{18. \, -3 \leq x \leq \dfrac{16}{9};\quad 22. \text{ $x \leq -19$ or $x \geq -5$}}[/tex]

Step-by-step explanation:

Q18

[tex]\left |\dfrac{3x - 5}{2} \right | \leq 7[/tex]

Multiply each side by 2

[tex]|3x - 5| \leq 14[/tex]

Apply the absolute rule:

If |x| ≤ a, then -a ≤ x ≤ a

This gives

-14 ≤ 3x - 5 ≤ 14

Separate into two inequalities

[tex]\begin{array}{cc}-14 \leq 3x - 5 & 3x - 5 \leq 14 \\-9 \leq 3x & 3x\leq 19 \\-3 \leq x & x \leq \dfrac{19}{3} \\\end{array}[/tex]

Merge the overlapping intervals

[tex]\boxed{\mathbf{-3 \leq x \leq \dfrac{16}{9}}}[/tex]

Q22

-5|x + 12| ≤ -35

Divide each side by -5

This reverses the sign of the inequality.

|x + 12| ≥ 7

Apply the absolute rule

If |x| ≥ a, then -a ≥ x or x ≥ a

-7 ≥ x + 12 or x + 12 ≥ 7

Separate into two inequalities

[tex]\begin{array}{cc}-7 \geq x + 12 & x + 12 \geq 7 \\-19 \geq x & x\geq -5 \\\end{array}[/tex]

Combine the intervals

[tex]\boxed{\textbf{$x \leq -19$ or $x \geq -5$}}[/tex]

The cost to rent a car for a day is an initial cost of $35 and $0.25 per mile driven write an equation that represents to the cost of the car rental what is the total cost if you drove 250 miles

Answers

Answer:

$35 + $0.25m is the equation

If you drove 250 miles, it would cost $97.50

Step-by-step explanation:

250 * 0.25 = 62.5

62.5 + 35 = 97.5

Solve for p.

11p − 2p + 4 = 13


p =

Answers

Answer:

p = 1

Step-by-step explanation:

11p - 2p + 4 = 13

  9p + 4 = 13

        - 4     -4

     9p = 9

  9p/9 = p

    9/9 = 1

Answer:

p=1

Step-by-step explanation:

11×1=11

2×1=2

11-2=9

9+4=13

Lucy ate eight more than three times as many pretzels as Matt Lucy ate 56 pretzels how many pretzels did Matt eat

Answers

Final answer:

Lucy ate 56 pretzels and Matt ate 16 pretzels.

Explanation:

To find out how many pretzels Matt ate, we need to use the information given in the question. Let's represent the number of pretzels Matt ate as 'x'. According to the question, Lucy ate 56 pretzels, which is 8 more than three times the number of pretzels Matt ate. So we can write the equation: 56 = 3x + 8. We must place x on one side of the equation alone in order to solve for it.  Subtracting 8 from both sides, we get 56 - 8 = 3x, which simplifies to 48 = 3x. Finally, dividing both sides by 3, we find that x = 16.

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4, 12, 36, 108 , ... this means Arithmetical or Not Arithmetical​

Answers

[tex]\text{Hello there!}\\\\\boxed{\text{This would not be an arithmetical sequence}}\\\\\text{This is not an arithmetic sequence because the common number is}\\\text{not adding.}\\\\\text{The sequence in the question would be known as a geometric sequence}\\\\\text{A geometric sequence multiplies by a common ratio, and that's what the}\\\text{sequence is doing}\\\\\text{The sequence is being multiplied by a common ratio of 3}[/tex]

Final answer:

The sequence is not arithmetic; the terms are increasing by multiplying the previous term by 3.

Explanation:

This sequence does not follow an arithmetic pattern. In an arithmetic sequence, each term is found by adding a constant difference to the previous term. However, in this sequence, the terms are increasing by multiplying the previous term by 3. For example:

Term 1: 4

Term 2: 4 x 3 = 12

Term 3: 12 x 3 = 36

Term 4: 36 x 3 = 108

Since the terms are not increasing by a constant difference, this sequence is not arithmetic.

What’s 1:6 equal too in two ways

Answers

Hey!

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

Solution:

We can get two different ways of 1:6 by add +1:+6.

1 + 1 = 6 + 6

2:12

2 + 1 = 12 + 6

3:18

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

Answer:

2:12 and 3:18

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

Hope This Helped! Good Luck!

The difference of a number and 12 is 30

Answers

Answer:

42

Step-by-step explanation:

Difference is substitution, so a number (x) minus 12 equals 30

x-12=30

Add 12 to both sides

x=42

Final answer:

The problem statement is a Mathematics subtraction problem. It can be solved by setting up a simple equation n - 12 = 30, where 'n' is the unknown number. By solving the equation, we find n = 42.

Explanation:

The subject of the problem statement 'The difference of a number and 12 is 30' lies in the Mathematics field. When the problem says the 'difference of a number and 12 is 30', it means we are dealing with a subtraction expression. Here, we can write a simple equation to solve this. If we use 'n' to represent the unknown number, the equation will be: n - 12 = 30. To solve for n, we should add 12 to both sides of the equation to balance it. So, it will be n = 30 + 12, and hence n = 42. So, the number in the problem statement is 42.

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Which shape has larger area: a rectangle that is 7 inches by 3/4 inch, or a square with a side length of 2 1/2 inches. Tell your reasoning.

Answers

Area= length multiplied by width

Area of rectangle:
Area=7 x .75
Area= 5.25

Area of square:
Area= 2.5 x 2.5
Area=6.25

The square has a larger area because when you multiply the length and width of both shapes the square has a larger sum

The square with a side length of  [tex]2\frac{1}{2}[/tex] inches has a larger area of 6.25 square inches, compared to the area of the rectangle which is 5.25 square inches.

To determine which shape has a larger area, let's calculate the area of both the rectangle and the square. The rectangle measures 7 inches by 3/4 inch, so its area is calculated by multiplying these dimensions:

Area of the rectangle = length ×width = 7 inches × [tex]\frac{3}{4}[/tex] inch = [tex]\frac{21}{4}[/tex] square inches or 5.25 square inches.

The square has a side length of [tex]2\frac{1}{2}[/tex] inches, which is equivalent to 2.5 inches. Hence, the area of the square is:

Area of the square = side ×side = 2.5 inches × 2.5 inches = 6.25 square inches.

Comparing the two, we can see that the square with a side length of [tex]2\frac{1}{2}[/tex] inches has a larger area of 6.25 square inches compared to the rectangle's area of 5.25 square inches.

Other Questions
How to find the probability? Please show your work! Thanks! Choose the correct statement.A. What we do in pursuit of our self dash interest is independent of the social interest. B. Social interest and self dash interest can come into conflict. C. You make choices based on what you think is best for society as a whole. D. Choices that are the best for more than one person are said to be in the social interest. If x=1, then 9x-4x=2x+3x Which actions of Seo-Jun develop the theme of honoring tradition while embracing change? What is the theme of Robert Cormiers The Moustache? Evaluate the expression when k=-4|k-2 |3k|,- 1a. 72b. 71c. 66d. -73 When on a LAN switch DHCP snooping is configured the networks that can be accessed by which clients? Candi Barr has a mobile hanging in her window, and it's balanced because the weight on each side is the same.a.) If Candi takes two triangles off of the left side and three triangles off of the right side, will the mobile still be in balance, or will it tip to one side? If so, which side? Explain how you know. what happens to the supply of something if its elastic and the price falls The length and width of a rectangle is (x-2) and (4-y) respectively. Express the area, A, of the rectangle in terms of x and y. Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting. Micromedia is currently planning a two-day seminar on the use of Microsoft Excel in statistical analysis. The projected fee for the seminar is $625 per student. The cost for the conference room, instructor compensation, lab assistants, and promotion is $9900 per 2 days. Micromedia rents computers for its seminars at a cost of $140 per computer per day. Develop a model for the total cost to put on the seminar. Let x represent the number of students who enroll in the seminar. Round your answers to the nearest whole number. For subtractive or negative number use a minus sign even if there is a + sign before the blank. (Example: -300) Which of the following can be written as a fraction of integers? CHECK ALL THAT APPLY. 2.5square root of 14square root of 16-1.255.333333...pi0.6 Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of 1.5 ft/s. When Graham'sarms are 18 ft above the ground, Hunter, who is standing directly underneath Graham, throws Graham a ball as the cablecontinues to lift him higher. Hunter throws the ball from a position 5 ft above the ground with an initial velocity of 24 ft/s. Whichsystem of equations can be used to model this situation?(n-18+1.51In-5+242-167(n-18+1.57In-5+24+167(n-18+1.51[h=5+241(n=18+1.54-167In=5+241- 1672 How do you solve this? Convert 375 minutes to hours? an airpline flies 165 miles from point A in the direction 130degrees and then travels in the direction 245 degrees for 80 miles. approximately how far is the airplane from point A? solve the system of equations y=3x. y=x^2-4 Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A1 be the event that the receiver functions properly throughout the warranty period, A2 be the event that the speakers function properly throughout the warranty period, and A3 be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A1) 5 .95, P(A2) 5 .98, and P(A3) 5 .80.a. What is the probability that all three components function properly throughout the warranty period?b. What is the probability that at least one component needs service during the warranty period?c. What is the probability that all three components need service during the warranty period?d. What is the probability that only the receiver needs service during the warranty period?e. What is the probability that exactly one of the three components needs service during the warranty period?f. What is the probability that all three components function properly throughout the warranty period but that at least one fails within a month after the warranty expires? Which notes would convey the fastest rhythmA: two 8th notesB: 2 16th notesC: 2 whole notesD: 2 quarter notes What fats are called saturated? A). fats that contain no double bonds in fatty acid chains B). fats that have some double bonds in fatty acid chains C). fats that have triple bonds in fatty acid chains D). none of the above