Write the following list of events as an expression and then simplify.

$80 deposit, $78 deposit, $97 withdrawal, $12 deposit


Please enter the expression (without simplifying) in the left hand box labeled "Initial Expression". Enter the simplified expression in the right hand box, labeled "Simplified Expression".



initial expression:


simplified expression:

Answer:

106 7/8 inches

Step-by-step explanation:

Simplifying the pieces

Answer:

b. {1, 2, 3, 4, 5}

Step-by-step explanation:

Given function:  

c = 25n + 6

(where c is the total purchase cost and n is the number of coins)

Domain:  input values → n-values

If there is a limit of 5 coins per purchase, this means that you can purchase up to and including 5 coins at any one time.  

Therefore, the domain is:  {1, 2, 3, 4, 5}

{1, 2, 3, 4, 5} is a reasonable domain for this function.

So, the correct answer is:

b. {1, 2, 3, 4, 5}.

The cost function for purchasing n coins is given by c = 25n + 6.

However, there is a limit of 5 coins per purchase.

This means that the number of coins (n) should not exceed 5,

as it is not possible to purchase more than 5 coins in a single purchase.

Therefore, a reasonable domain for this function would be the set of numbers from 1 to 5,

since n can take any value between 1 and 5, inclusive.

Hence, {1, 2, 3, 4, 5} is a reasonable domain for this function.

So, the correct answer is:

b. {1, 2, 3, 4, 5}.

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4

Explanation:

3, 4, 2, 8, 5

arrange in ascending order

2, 3, 4, 5, 8

Identify the integer at the middle

median: 4

Arrange in ascending order

Median term=(5+1)/2=6/2=3rd term=4

Median is 4

Answer:

Step-by-step explanation:

(3x - 1)(3x - 4) = 9x^2 - 15x + 4

(x + 2)(9x^2 - 15x + 4) = 9x^3 - 15x^2 + 4x + 18x^2 - 30x + 8

9x^3 + 3x^2 -26x + 8 is the solution

Answer:

Graph is below

Step-by-step explanation:

I am going to use 3 points to make this graph

(0,0)

(-1,3)

(1,3)

Answer:

(0,0), (-1,3), (1,3)

Step-by-step explanation:

The graph is below!

Hope this helps!!!!!!!!!!!!

The value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

The angle XYZ has an angle y which is twice the size of x. Thus,

2x=y

The third angle is 20 degree, which is Z. Thus,

z=20

By the triangle angle sum theorem,

x+y+x=180

x+2x+20=180

3x=180-20

x=160/3

x=53.33

The measure of angle y is,

y=2×53.33

y=106.66

Thus, the value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.

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Answer: 18

Step-by-step explanation:

By the consecutive interior angles theorem, [tex]5x+7x+24=180 \longrightarrow x=13[/tex].

So, this means that using the corresponding angles theorem, [tex]7x+24=6y+7[/tex], and since [tex]x=13[/tex], this means that [tex]7x+24=115[/tex].

So, [tex]6y+7=115 \longrightarrow \boxed{y=18}[/tex]

Answer:

(5+8) (5-8)

Step-by-step explanation:

They are both perfect squares.

Answer:

(5+8x)(5-8x)

Step-by-step explanation:

This is a 'difference of two squares" Difference means subtraction and 25 is a perfect square and 64x^2 is a perfect square.

If you know how to factor quadratic trinomials like

ax^2 + bx + c, you can do the same thing here, using:

64x^2 +0x + 25

BUT, there's a shortcut. It is a pattern that you memorize. Since 25 is 5^2, put 5 first in the parenthesis. And since 64x^2 is 8x squared, put 8x second in the parenthesis like this:

(5 8x)

Make two of them:

(5 8x)(5 8x)

Make one a plus and one a minus.

(5 + 8x)(5 - 8x)

Done!

Well, if the directions say "factor" then you are done. If the directions say "solve" then put each piece equal to zero and solve for x.

Hope this helps!

Answer:

-31 = x

Step-by-step explanation:

Step 1    4x + 24 = 3x - 7

Step 2   x + 24 = -7

Step 3   x = -31

Hope this help!!!

Answer:

Step-by-step explanation:

Let the amount of rent is R

Calculate the value of R in reverse order of spending

Correct choice is B

Answer:

B. $466

Step-by-step explanation:

[tex]\textsf{let}\: x= \textsf{Lydia's salary}[/tex]

[tex]\implies \textsf{rent}=\dfrac{1}{2}x[/tex]

Modelling the given information to find the total salary:

[tex]\implies \left(x-\dfrac{1}{2}x-168\right)-\dfrac{x-\frac{1}{2}x-168}{2}-57=92[/tex]

[tex]\implies \dfrac{1}{2}x-168-\dfrac{\frac{1}{2}x-168}{2}-57=92[/tex]

[tex]\implies \dfrac{1}{2}x-\dfrac{\frac{1}{2}x-168}{2}=317[/tex]

[tex]\implies x-(\frac{1}{2}x-168)=634[/tex]

[tex]\implies x-\frac{1}{2}x+168=634[/tex]

[tex]\implies \dfrac{1}{2}x=466[/tex]

[tex]\implies x=932[/tex]

Therefore, Lydia's total salary was $932

[tex]\implies \textsf{rent}=\dfrac{1}{2}(932)=\$466[/tex]

Congruent triangles are those triangles which have the same size and form.

Congruent triangles are those triangles which have the same size and form. This signifies that the matching sides and angles are the same.

The two triangles ΔUVW≅ΔABC, therefore, the corresponding sides can be written as,

The corresponding angles will be,

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Answer:

44 inches

Step-by-step explanation:

perimeter of triangle = length of side 1 + length of side 2 + length of side 3

length of side 1 = 26

length of side 2 = 55

125 = 26 + 55 + length of side 3 = 81 + length of side 3

subtract 81 from both sides to get the length of side 3

length of side 3 = 44 inches

Using the binomial distribution, it is found that the probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability that he hits fewer than 8 of the bottles is given by:

[tex]P(X < 8) = 1 - P(X \geq 8)[/tex]

In which:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{10,8}.(0.95)^{8}.(0.05)^{2} = 0.0746[/tex]

[tex]P(X = 9) = C_{10,9}.(0.95)^{9}.(0.05)^{1} = 0.3151[/tex]

[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]

Hence:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.0746 + 0.3151 + 0.5987 = 0.988[/tex]

[tex]P(X < 8) = 1 - P(X \geq 8) = 0.012[/tex]

The probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

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Answer:

-1

Step-by-step explanation:

perpendicular = always has a slope of neg 1

Answer:

-1

Step-by-step explanation:

It is -1. I can't explain, I just did it in my head, so sorry!

Answer:

  1. B 15

  2. C Hexagon

Step-by-step explanation:

Euler's formula tells you the relation between numbers of faces, vertices, and edges of a polyhedron is ...

  F +V = E +2

Solving for the number of faces, we have ...

  F = E +2 -V

For the given numbers, the missing number is ...

  F = 26 +2 -13 = 15

  Faces: 15

__

The cross section (shaded figure) is described by the number of edges it has. You can count them. There are three pairs of parallel edges, for a total of 6 edges. That makes the figure a hexagon.

Answer:

[tex]2x^{2} - 16x + 30[/tex]

Step-by-step explanation:

Here we have to find p(q(x))

q(x) =x -3

we will plug value of q(x) in x of p(x)

p(x) =2x2-4x

p(q(x)) = 2(x-3)2-4(x-3)

= 2(x2-6x+9)-4(x-3)

=2x2-12x+18 -4x+12

[tex]2x^{2} + 16x + 30[/tex]

Answer:

The answer is 4.

Step-by-step explanation:

If this shape has a perimeter of 36, and the base has a length of 14, you subtract 36 - 28 because there are two sides that have a length of 14. You get 8 by subtracting 36 - 28, and divide the answer by 2.

Answer: 32.6

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

you multiply them all together

Answer:

see explanation

Step-by-step explanation:

the graph has a maximum turning point at (- 2, 2 )

the maximum value is the value of the y- coordinate of the vertex , then

maximum at 2

the domain is the values that x takes, in this case

domain is all real numbers

the range is the values that y can have, in this case

range is y ≤ 2

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

54

Step-by-step explanation:

54 inches

hope it helps...!!!

Answer: A

Step-by-step explanation: I hate when theres problems like this, considering theres celcius and fahrenheit but the correct answer is A

Answer:

21 jacks/min

or 21 jacks per minute

Step-by-step explanation:

63/3 = 21

write it as ___ unit/rate

please mark brainliest

Answer:

91 I believe. 7x4 is 28, divide by 2, you get 14. there is two triangles that have the same area so multiply by two to get 28 for the top half. then 7x9 is 63, divided by 2 times 2 is 63. add 63 and 28 to get 91

Answer:

20 units

Step-by-step explanation:

Given: Bases of the trapezoid

To find: Length of midsegment

Solution: Formula for length of midsegment of a trapezoid is given as:

Answer:

line of symmetry: x = -3

intercepts...

x - intercept: (-4, 0) and (-2, 0)

y - intercept: (0, 8)

vertex: (-3, -1)

Step-by-step explanation:

The image isn't that clear but what I can get is what listed

line of symmetry is the line straight down the middle as if the graph is reflected to the other side

intercepts...

x - intercept is when y = 0, note there is 2 of these a negative and positive root

y - intercept is when x = 0

vertex is the turning point

for an upward curve its a min

for a downward curve it a max

I attached an example of each on of these

Answer:

3x +2y = 11 .... 1

x +5y = 8....2

x + 5y = 8

multiply by -3 on both sides

-3x - 15y = -24

-3x - 15y = - 24

3x +2y = 11

-13y = -13

y = 1

substitute the value of y in 1 or 2

3x +2y = 11

3x = 11 - 2y

3x = 11 - 2(1)

3x = 9

x = 3

(x;y) ( 3 ; 1)

eq(2)×3

eq(1)-eq(3)

Putting in eq(2)

Pair

Answer:

V = 508.938 [tex]in^{3}[/tex]

Step-by-step explanation:

The equation to find the volume of a cylinder is:

[tex]V = \pi r^{2} h[/tex]

r = radius

h = height

In the question it gives us the height (2 inches) and the diameter (18 inches).

We need to find the radius from the diameter. To do this, divide the diameter by 2:

r = 18/2 = 9

Now, plug everything into the equation and solve:

[tex]V = \pi (9)^{2} (2)[/tex]

Use a calculator to get the answer:

V = 508.938 [tex]in^{3}[/tex]

(Side note: I don't know what place to round to because in the question it says to "round to the nearest place" but doesn't say tenth, hundred, etc. If the question on your homework says tenth then the answer would be 508.9, hundredth = 508.94, thousandth = 508.938)

Hope this helps!! If you have questions please comment them under this!