Manny has a collection of Pokémon cards. He keeps them in a binder with special protective pages to put the cards in. Each page can fit 12 cards. Which of the following answers could represent the number of pages that Manny has filled up?

The largest prime factor that always divides the sum of the terms in the sequence is 37.

The sequence is finite and consists of three-digit integers.

The tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term.

From the above property of the sequence, we can see that each digit at the units, tens as well as hundreds place will appear the same number of times in the sequence.

Let "x" be the sum of the digits at unit place in all the terms.

The sum of all the terms is "S".

S = 111*x

S = 3*37*x

We can clearly see that the sum "S" is divisible by 37.

Hence, the largest prime factor that always divides the sum of the terms in the sequence is 37.

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Answer:

distributive I'm pretty sure!

Step-by-step explanation:

i hope this helps have a great day:)

Answer: $63.40

Step-by-step explanation:

She starts out with $317  but she will only get 80%  which means she will lose 20%

100%-80%=20%

take 20% of 317

.2 x 317    convert 20% to decimal by moving decimal twice and multiply

=63.4

She will lose $63.40

Reason:

If she withdraws early, she can only withdraw 80% of what she put in. She takes a 20% penalty.

20% of 317 = 0.20*317 = 63.40 dollars is how much she loses.

Put another way:

She is able to withdraw 0.80*317 = 253.60 dollars if doing so early. She lost 317-253.60 = 63.40 dollars

Answer:

8x-6

12x-9-4x+3

Step-by-step explanation:

12x-4x-9+3

=8x-6

Answer:

\( \sf \: 8x - 6 \)

Step-by-step explanation:

Given expression,

→ 12x - 9 - 4x + 3

Let's simplify the expression,

→ 12x - 9 - 4x + 3

→ (12x - 4x) + (-9 + 3)

→ (8x) + (-6)

→ 8x - 6

Hence, the answer is 8x - 6.

Answer:

Explained below

Step-by-step explanation:

The X-Intercepts of a parabola is when the quadratic is set equal to 0. This makes y equal to 0 which is the definition of a root. anything 0,inf is on the x-axis and is an intercept.

Answer:

27.

Step-by-step explanation:

x/3 −9=0 Step 1: Simplify both sides of the equation. x/3 −9=0 1/3 x+−9=0 1/3 x−9=0 Step 2: Add 9 to both sides. 1/3 x−9+9=0+9 1/3 x=9 Step 3: Multiply both sides by 3. 3*( 1/3 x)=(3)*(9) x=27

Answer:

Step-by-step explanation:

yes becaues 1/4 out of a hundred is 25%

Answer: number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Step-by-step explanation:

To write the number name and expanded form for the number of driver ants that could be in two colonies.

Given: Up to 22,000,000 driver of ants can live in a single colony

Since 1, 000, 000 =1 million

So 22,000,000= 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Hence, number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Answer:

0.2

Step-by-step explanation:

5/25

= 20/100

[Multiplying by 4 to make the denominator 100]

= 0.20

[We count the number of zeroes in denominator and move the decimal to the left to the number of places same as the number of zeroes, in numerator. Here there are two zeroes after 1 (in 100, the denominator), so we moved the decimal to the left by two places (20.0 becomes 0.20)

P.S.- This works only when the denominator is something like 10, 100, 1000, 10000 etc.]

= 0.2 [0.20 is simplified as 0.2]

Or simply divide 5 by 25

A picture of the division is attached.

Steps:

1. Since 25 cannot divided 5, we will write a zero and a decimal in the quotient.

2. After this we will add a zero to 5, so that it becomes 50.

3. 50÷25 is 2, so write 2 in the quotient after the decimal.

4. Your answer is 0.2.

Answer:

yes

Step-by-step explanation:

The cones are not concurrent because one cone is obliquewhich makes the length of these land height is different have the same radius same volumes and same height are the cones concurrent is the corresponding slant height sorry equal .concurrent counts must have concurrent corresponding slant height with all this corresponding being concurrent

Answer:

The money Emily spend is 324 dollars

Step-by-step explanation:

Given:

3 pairs of shorts= 25 dollars

5 tank tops = 23 dollars

1 pair of sandal = 54 dollars

2 bathing suits = 40 dollars

The total money spend on 3 pairs of shorts is 3 x 25=75

The total money spend on 5 tank tops is 5 x 23=115

The total money spend on 1 pairs of sandals =54

The total money spend on bathing suits is 2 x 40= 80

Adding them all= 75+115+54+80

                         = 324 dollars

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The amount Emily spent is $324

We are given that

3 pairs of shorts = $25

5 tank tops = $23

1 pair of sandals = $54

2 swimsuits = $40

Total amount spent on 3 pairs of shorts is 3 x 25 = 75

The total amount spent for 5 increased shirts is 5 x 23 = 115

Total amount spent on 1 pair of sandals = 54

Total amount spent on swimwear is 2 x 40 = 80

Add them all up = 75 + 115 + 54 + 80

= $324

The amount Emily spent is $324

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Answer:

78

Step-by-step explanation:

102+x=180

x=180-102

x=78

Answer:

B. \( x = \sqrt{40} \)

Step-by-step explanation:

Using Pythagorean theorem, find the value of x.

Pythagorean theorem is given as \( c^2 = a^2 + b^2 \)

Where,

c is the longest side of a right angled ∆ = the hypotenuse = x

a and b are legs of the right angled ∆ = 2 and 6

Plug in the values into the equation and solve for x

\( x^2 = 2^2 + 6^2 \)

\( x^2 = 4 + 36 \)

\( x^2 = 40 \)

\( x = \sqrt{40} \)

Answer: 1 1/2

Step-by-step explanation:

3/4+3/4=6/4=1 2/4=1 1/2

Answer:

1 1/2

Step-by-step explanation:

3/4+3/4 = 6/4 = 1 2/4 = 1 1/2

solution

For this case we have the following multiplication:

Then the middle term for this case is:

5x

The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

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The process capability ratio is approximately 0.67 (option A).

To calculate the process capability ratio, we need to use the following formula:

Process Capability Ratio = (Upper Specification Limit - Lower Specification Limit) / (6 * Process Standard Deviation)

Given the following values:

Upper Specification Limit = Diameter + Tolerance = 6.77 cm + 0.01 cm = 6.78 cm

Lower Specification Limit = Diameter - Tolerance = 6.77 cm - 0.01 cm = 6.76 cm

Process Standard Deviation = 0.005 cm

Plugging these values into the formula, we have:

Process Capability Ratio = (6.78 cm - 6.76 cm) / (6 * 0.005 cm)

Process Capability Ratio = 0.02 cm / 0.03 cm

Process Capability Ratio ≈ 0.67

Therefore, the process capability ratio is approximately 0.67. The correct answer is A) 0.67.

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The expression that gives the area of the triangle shown below would be = ½zw. That is option B.

To determine the expression that can be used for the area of a triangle, the formula for area of a triangle should be used and it's given below as follows:

Area of a triangle = ½ × base × height

where;

base = z

height = w

Therefore, the area of a triangle would be = ½zw

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Answer:

30%

Step-by-step explanation:

$500-$350=150

150/500 x 100

=30%

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

We know that the point of intersection of the linear and quadratic functions lies on the xy-plane at coordinates ( ,v w). Since the vertex of the quadratic function is given as (4, 19), we can assume that the quadratic function is of the form

\(y = a(x-4)^2 + 19\)

To find the value of v, we need to find the x-coordinate of the point of intersection. Since the linear function is also given, we can set y = mx + b (where m is the slope of the line and b is the y-intercept) equal to the quadratic function and solve for x. Once we have the value of x, we can substitute it back into either equation to find the value of v.

Regarding the second question, we know that there are 78 students and the dig site has 24 sections. Each section can be studied by a group of 2 or 4 students. Let the number of sections studied by a group of 2 students be x, and the number of sections studied by a group of 4 students be y.

We know that x + y = 24 and 2x + 4y = 78. Solving these two equations simultaneously gives us x = 9 and y = 15, which means that 9 sections will be studied by a group of 2 students.

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Answer:

40%

Step-by-step explanation:

15/100 +25/100 = 40/100 or 40%

\(-(3\cdot(-4))^2=-(-12)^2=-144\)

Step-by-step explanation:

1. prove congruency

\(75 = (8x - 5) \: ( the \: angles \: are \: equal \: proven \: from \: congruency)\\ 75 + 5 = 8x \\ 80 = 8x \\ x = 10\)

Remember that for this to work prove congruency first

Aftre solving, the all option is false except option c. Only option c, ∅×A=∅ is correct because cartesian product with non empty set with empty set alsways gives empty set.

In the givn question we have to find which statement is true.

To solve the question we let;

A={1,2,3}; B={2,3,4}; C={2,3}

(a) The first option is (A – C) ∩ (A – B) = A – (B ∪ C)

Now solving the both side by putting the value

({1,2,3} – {2,3}) ∩ ({1,2,3} – {2,3,4}) = {1,2,3} – ({2,3,4} ∪ {2,3})

{1} ∩ {1,4} = {1,2,3} – {2,3,4}

{1} = {1,4} (False)

(b) If A ∩ B = ∅, then A ⊂ B

As we know that if If A ∩ B = ∅, then A=∅ and B=∅. That means both A and B will be empty set. So the option B is false.

(c) ∅ X A = ∅

As we know that cartesian product with non empty set with empty set alsways gives empty set. SO the option C is correct.

(d) (A – B) ∪ (B – C) = A – C

Now solving the both side by putting the value

({1,2,3} – {2,3,4}) ∪ ({2,3,4} – {2,3}) = {1,2,3} – {2,3}

{1,4} ∪ {4} = {1}

{1,4} = {1} (False)

(e) ∅ ∩ {∅} = ∅ (False)

(f) B X A = A X B (False)

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Answer:

B. 0.08

Step-by-step explanation:

In order to solve this problem, we must account for all possibilities. The sum of all posssiblities must sum up to 1.

1 - High Attendance/No Rain

0.9*0.8 = 0.72

2- High Attendance/ Rain

0.4*0.2 = 0.08

3 - Low Attendance/No Rain

0.1*0.8 = 0.08

4 - High Attendance/No Rain

0.6*0.2 = 0.12

Now we answer the question of rain and high attendance.

0.08/1 = 0.08

The function in this graph is constant in the range of -4 ≤x≤-2 , Option D is the correct answer.

A function is a mathematical statement which identifies relation between independent and dependent variable.

A graph is given

The graph will be considered constant when the y value is constant for any value of x

The value of y is constant in the range of

-4 ≤x≤-2

Therefore Option D is the correct answer.

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the function in this graph is constant. from -4 ≥ x ≤ -2.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given a graph, by observing that graph we can determine that

Since The graph of a constant function can never be a curve. The graph of a constant function is always a horizontal line. An algebraic function is a constant function if there is no variable in its definition.

x < -4 it is a linear function

-4 ≥ x ≤ -2 graph is constant

-2 ≥ x ≤ 3 linear with positive slope

x > 3 graph is linear with a negative slope

Therefore, From -4 ≥ x ≤ -2 the function in this graph is constant.

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Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9