7. A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. a. Calculate the number of cubes with edge length cm that fit in this prism. b. What is the volume of the prism in cm3? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .

Answer:

the number of possibilities that can be drace himself up for the day is 216

Step-by-step explanation:

Given that

jun has 12 t-shirts,6 pairs of pants and 3 pairs of shoes

We need to find out the possibilities that can be drace himself up for the day

So here

[tex]= 12C_1 \times 6C_1 \times 3C_1\\\\= \frac{12!}{1!(12 - 1)!} \times \frac{6!}{1!(6 - 1)!} \times \frac{3!}{1!(3 - 1)!}\\\\= \frac{12!}{1!(11)!} \times \frac{6!}{1!(5)!} \times \frac{3!}{1!(2)!}\\\\= 12 \times 6 \times 3\\\\= 216[/tex]

Hence, the number of possibilities that can be drace himself up for the day is 216

The same would be considered and relevant too

Answer:

n = 14/3 or 4 2/3

Step-by-step explanation:

n = a number

5n/(7+n) = 2

cross-multiply to get:

5n = 2(7+n)

5n = 14 + 2n

3n = 14

n = 14/3 or 4 2/3

Answer:

if it was 29inches it would be 78.7

Step-by-step explanation:

The given altitude and the base length of the triangle can be used for

finding the lengths of the other two sides.

The perimeter of the triangle is approximately 73.0 inches

Reasons:

The altitude is the perpendicular bisector of the base of the triangle

Length of the altitude = 26 inches

Length of the base of the triangle, b = 18 inches

Required:

The perimeter of the triangle

Solution:

The base length of the two congruent triangles formed are [tex]\dfrac{18 \, cm}{2}[/tex] = 9 cm

each.

Therefore;

The length of the hypotenuse side, L, is given by Pythagoras's theorem as

follows;

L² = 9² + 26² = 757

The hypotenuse side, L = The length of the equal sides of the isosceles triangle

Therefore, the perimeter of the triangle, P = b + 2·L

Which gives;

To the nearest tenth, the perimeter of the triangle, P = 18 + 2·√(757) ≈ 73.0

The perimeter of the triangle, P ≈ 73.0 inches

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Answer: b

Step-by-step explanation:

Because he establish and strong government in 322 bce and  He was followed by his son Bindusara in 298 BCE so this is the answer nd i already did this question and got it right

Answer:

En 64 filas habrá 51 asientos

en 60 filas habrá 48 asientos

Step-by-step explanation:

Spanish

Primero se averigua la relación entre las filas y los asientos.

40: 32

Dividiendo por 8

5: 4

Usando esta relación podemos encontrar el número de asientos en el número dado de filas.

Si el número de filas es 64 entonces

Asientos de filas

64 x

5 4

Uso de la regla de productos cruzados

x = 64 * 4/5 = 51,2

En 64 filas habrá 51 asientos

Si el número de filas es 60 entonces

Asientos de filas

60 x

5 4

Uso de la regla de productos cruzados

x = 60 * 4/5 = 48

en 60 filas habrá 48 asientos

English

First the ratio of the rows to the seats is found out

40 : 32

Dividing by 8

5: 4

Using this ratio we can find the number of seats in the given number of rows.

If the number of rows is 64 then

Rows           seats

64                 x

5                   4

Using cross product rule

x= 64*4/5= 51.2

In 64 rows there will be 51 seats

If the number of rows is 60 then

Rows           seats

60                 x

5                   4

Using cross product rule

x= 60*4/5= 48

in 60 rows there will be 48 seats

Answer:

time = 2 1/2 years

Step-by-step explanation:

Interest = Principal x Rate x Time

450 = 6000 x .03 x t

450 = 180t

450/180 = t

5/2 = t

time = 2 1/2 years

Answer:

i believe that its only a multiple of 2

Answer:

2

Step-by-step explanation:

Answer:

(3,-2)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex

Answer:

The Answers are D and E

Step-by-step explanation:

all have 1 pair of parallel sides

like the 2 Ls in the word Parallel

Answer:

D and E

Step-by-step explanation:

A. Wrong: is a quadrilateral but has TWO pairs if parallel sides.

B. Wrong: is also a quadrilateral but also has TWO pairs if parallel sides.

C. Wrong: has only ONE pair of parallel sides, but is not a quadrilateral.

D. Right: is a quadrilateral with only ONE pair of parallel sides.

E. Right: is a quadrilateral with only ONE pair of parallel sides.

Answer:

Friday: 153 people  Saturday: 238  Sunday: 99

Step-by-step explanation:

Subtract 153 from 391 to find the people on Saturday (238). Subtract 238 from 337 to find the people on Sunday (99).

Answer:

The answer is the 2nd one.

Step-by-step explanation:

It is the only one that makes sense.

Hope this helps you.

Answer:

y + z = x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(x +(-11)) means that you move point D to the left by 11.

(y + 8) means that you move the point D up by 8

this will give you a point B

Answer: 20% of 11 is 2.2

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

To solve this set up a proportion. This proportion should be in part/whole form. This means to divide the part (aka 11) by the whole (aka the variable), additionally, 20% can be made into a fraction by dividing it by 100. So the proportion is [tex]\frac{20}{100} =\frac{11}{x}[/tex]. Then, cross multiply. Once this is done the new equation is [tex]20x=1100[/tex]. Next, divide both sides by 20. This gives you [tex]x=55[/tex], therefore 11 is 20% of 55.

..................................................................

Answer:

Sample 1 : 4 is the answer of your question

hope it is helpful to you

Answer:

[tex] {x}^{2} = {(13 - 6)}^{2} + {9}^{2} = {7 }^{2} + {9}^{2} \\ = 130 \\ x = \sqrt{130} = 11.4[/tex]

PLEASE READ THIS EXPLANATION: It is an EXTREMELY foundational concept in algebra that must be understood. Ask questions in the comments if you do not understand anything because I love helping others learn! Do not be shy. :)

Alright, so let's just understand the problem. The interval [3,6] means that the smallest x-value is x=3 and the largest x-value is x=6, and they both INCLUDE x=3 and x=6 (It would exclude x=3 and x=6 if it was like interval (3,6) with parentheses). Since f(x) is an exponential function, the change per x is not consistent and its growth actually grows as it continues in the direction of infinity, so that is why the average rate of change is interesting and very much relies on what range there is. The average rate of change from x=3 to x=6 will be far smaller than the average rate of change farther down the road at x = 99999 and x = 100003.

So, how do we find the average rate of change? All you have to do is find the slope between two points. Simple as that.

So, how do we apply that here? Imagine a graph with two points, one point at x = 3 and one point at x = 6 and we do not know the y-value of either of these points. So, that's our first step!

We need to first find how much it grows at x=3 and x=6 separately to find the the y-value of these points. f(x) = 2^x for x = 3 means y = 8, and f(x) = 2^x for x = 6 means y = 64. We now have two points:

(3, 8) and (6, 64)

Now, all we have to do is find the slope between these lines. All we have to do is use the normal formula for finding slope:

(y₂ - y₁) / (x₂ - x₁) OR (y₁ - y₂) / (x₁ - x₂)

Most people use the first one, but they give you the exact same answer, so don't ever think it's impossible to use the second one. Let's just use the first formula anyway.

(3, 8) = (x₁, y₁)

(6, 64) = (x₂, y₂)

Now, let's use the formula (remember you can use either one because it won't affect your answer):

(y₂ - y₁) / (x₂ - x₁) = (64 - 8) / (6 - 3) = 56 / 3 = 18 and 2/3

So, the average rate of change is 18 and 2/3 or 18.666666667.

The chances of availability from lest to most likely is Blueberry cheesecake, Chocolate chip and Caramel Critters.

Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.

The chances of availability:

To learn more about probability, please check: https://brainly.com/question/13234031

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Answer: 110

Step-by-step explanation:

The sum of the total measures of the angles in any quadrilateral is 360. so:

128 + 40 + 82 = 250

360 - 250 = 110

Answer: 170 people paid GH¢20 and 180 people paid GH¢30

Step-by-step explanation:

Let the number of people that paid GH¢20 be represented by x.

Let the number of people that paid GH¢30 be represented by y.

Based on the above information given, we can form an equation which will be:

x + y = 350 ....... i

20x + 30y = 8800 ....... ii

Multiply equation i by 20

20x + 20y = 7000 ...... iii

20x + 30y = 8800 ...... iv

Subtract iii from iv

10y = 1800

y = 1800/10

y = 180

Since x + y = 350

x = 350 - y.

x = 350 - 180

x = 170

Therefore, 170 people paid GH¢20 and 180 people paid GH¢30

Answer:

1. 5 – x = 8 , x = -3

2. -1 = x – 2 , x = 1

3. -3x = 9 , x = -3

4. -10 = -5x , x= 2

Step-by-step explanation:

Answer:

1. x= -3 ,2. x=1 , 3.x= -3 ,4.x=2

Answer:

x ≤ 40

Step-by-step explanation:

x >= -5x8

x =< 40

Here's the solution,

volume :

=》

[tex] \dfrac{1}{2} \times 12 \times 5 \times 3[/tex]

=》

[tex]90 \: \: m {}^{3} [/tex]

surface area :

=》

[tex](13 \times 3) + (5 \times 3) + (12 \times 3) + (2 \times \dfrac{1}{2} \times 12 \times 5)[/tex]

=》

[tex]39 + 15 + 36 + 60[/tex]

=》

[tex]150 \: \: {m}^{2} [/tex]

Answer:

n m n .m .nmn nm Step-by-step explanation: