The principal would like to assemble a committee of 8 students from the 12-member student council. How many different committees can be chosen?

Answer:

Interactive

Step-by-step explanation:

Answer:

164.

Step-by-step explanation:

We can break this shape into a rectangle and a trapezoid.

Area for a rectangle is l x w, or in this case, 8 x 16.

8 x 16 = 128, so the rectangle’s area is 128.

Area for a trapezoid is ((a+b)/2)h.

We do not have all the info we need to solve this equation yet. We need the measurement of two sides of the trapezoid. This is 16 - 12, or 4. The other side of the trapezoid we need to find is 16 - 8, or 8.

Now we can plug in the numbers.

((8 + 10)/2)4

(18/2)4

9 x 4

36

Now we can add up the areas of both shapes to find the answer.

36 + 128 = 164, so the answer is 164.

Answer:164

Step-by-step explanation:

step 1: divide the irregular shape into regular shapes in this case Triangle and two rectangles

step 2: Calculate the individual areas for the shapes the area of the rectangle is (128) because the sides 16 and 8 add up to 128 as area.For the smaller rectangle the area is (32) since 8 times 4 is equal to 32 and lastly for the triangle the area is four since the base of 2 times the height of 4 equals 8 and 8 divided by two is 4 so the are of the triangle is (4)

step 3: Combine all the areas 128+32+4=64 therefore the area for the irregular figure is (164)

Answer:

$0.90

Step-by-step explanation:

$7.20 divided by 8 is 0.9.

Answer:

.90

8 divided by 7.20 is 1.11

1.11 times 7.20 = 8

Step-by-step explanation:

Answer:

(x+5) is not a factor of f(x)

Step-by-step explanation:

Step 1 : we solve the equation x +5 = 0

x + 5 = 0 then x = -5

Step 2: we plug in -5 into f(x)

If we get zero then x+5 is a factor of f(x)

If we get a number other than zero then x+5 is not a factor of f(x)

Calculation:

f(-5) =  (-5)³ − 4(-5)² + 3(-5) + 7 = - 233

Since we got -233 and not 0

Therefore ,(x+5) is not a factor of f(x)

Answer:

(x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7

Step-by-step explanation:

To see if (x + 5) is a factor, you can use either synthetic division or long division.

I'll be using synthetic division to divide f(x) by (x + 5):

-5 | 1 -4 3 7

| -5 45 -240

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

1 -9 48 -233

The remainder is -233, which means that (x + 5) is not a factor of f(x) since there is a remainder.

Therefore, (x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7.

Answer:

can you add more context to the question it makes no sense with current given clues

Answer:

Option A

Step-by-step explanation:

Step 1:  Solve the equation

[tex]2x + 5 \geq 15[/tex]

[tex]2x + 5 - 5 \geq 15 - 5[/tex]

[tex]2x \geq 10[/tex]

[tex]2x / 2 \geq 10/2[/tex]

[tex]x \geq 5[/tex]

Step 2:  What model represents the equation

Seems like option A represents the best because it showcases 2 x's and 5 +1's on the left side which is then greater or equal to the right side with 10 +1's.

Answer:  Option A

First, subtract 5 on both sides

2x≥15-5

2x≥10

Now divide by 2 on both sides

x≥5

hope helpful ~

Answer:

$5.75

Step-by-step explanation:

Find the difference between the weeks as this will give you the difference hence the amount deposited each week

0->1

is 12.00->17.75

diffrence is $5.75

1->2

is 17.75->23.50

diffrence is  $5.75

the amount saved each week is $5.75

Answer: x [tex]\geq[/tex] 13

Step-by-step explanation: quite simple actually, since the user must be AT LEAST 13 years old to set up the account, the equation would be X is greater than or equal to 13.

Hope this helps

Explanation:

We'll have rectangles to represent the four categories mentioned in the table. The height of each rectangle (known as a "bar") represents the number of people in that particular category.

For example, we have 11 people who rated their visit as "poor", so the bar labeled "poor" will be 11 units tall. The same will apply to the other bars.

Pay special attention there are gaps between adjacent bars. This is in contrast to a histogram where there are no gaps. This is simply a style choice.

(f + g)(x) is another way of writing f(x) + g(x).

Given that

(f + g)(x) = 10x + 7

f(x) = 6x + 2

it follows that

g(x) = (f + g)(x) - f(x)

g(x) = (10x + 7) - (6x + 2)

g(x) = 4x + 5

g(x) be n

Now

Interchange x

Option D

Answer:

b= 26 degrees

Step-by-step explanation:

A whole circle is equal to 360 degrees, so subtract 298 from it and get 62.

62 is the gap and also the value of the whole angle b+36.

Subtract 36 from 62 to get b.

62-36 = 26 degrees

Your answer!

Answer:

50²-30²=x²

2500-900=1600

√1600= 40

x=40

Answer:Aob is in the center

Step-by-step explanation:You see x and y are parallel across from each other, and u v are the same. A O B is recorded in the center.

Answer:

3

Step-by-step explanation:

Answer:

190 cm^2

Step-by-step explanation:

Top and Bottom = 2(3*10)=60cm

Sides = 2(5*10)=100

Front and Back =2(3*5)=30

total = 190

Answer:

mew

Step-by-step explanation:

Answer: 6 cm, 11 cm, 12 cm

Step-by-step explanation:

Using the volume of the cube, it is found that the fraction of the prism's volume will bring filled by the sand is of [tex]\frac{3}{5}[/tex].

The volume of a cube of edge length l is given by:

V = l³.

In this problem, there are two cubes, each with edge length of l = 5 cm, hence, the total volume is given by:

V = 2 x l³ = 2 x (5 cm)³ = 250 cm³.

150 cm³ will be filled with sand, hence the fraction is given by:

[tex]\frac{150}{250} = \frac{15}{25} = \frac{3}{5}[/tex]

More can be learned about the volume of a cube at https://brainly.com/question/13030328

Midpoint  is the middle segment of a given line. Since md = cm = 2 hence the point m is the midpoint of cd

A line is a distance between two points. Given the line cd with "m" as the  midpoint, the distance between cm and md will be equal that is:

md = cm

Given the following parameters

md = 6x - 22
cm = 3x - 10

Equate both expressions

6x - 22 = 3x - 10
6x - 3x = -10 + 22
3x = 12

x = 4

subtitute

cm = 3x - 10
cm = 3(4) - 10
cm =

Similarly:

md = 6x -22

md = 6(4) --22
md =

Since md = cm = 2 hence the point m is the midpoint of cd

Learn more on midpoint here: https://brainly.com/question/5566419

Answer:

The answer is b. 4*3 2/5.

Step-by-step explanation:

It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.

The value of c in the equation, 1/5c = 2 1/2 when divided is 12 1/2.

Fractions are numbers that are non integers. They are ususally made up of numerators and denominators. The numerator is the number above and the denominator is the number below.

In order to determine the value of c, divide 2 1/2 by 1/5

2 1/2 ÷ 1/5

Convert the mixed fraction to an improper fraction

5/2 x 5 = 25/2 = 12 1/2

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Answer:

Replace the y, z, and x values with real numbers .

0 - 3 = -3

5 + 4 = 9

3 + 4 = 7

Answer:

Mode: 7

Range: 6

Step-by-step explanation:

Think of the M and O in "mode" as "most often." The mode is the number that appears more than any other.

Range is the difference (subtraction) between the smallest number and largest number in the data. So we have 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, and 9. We take the largest number, 9, and subtract the smallest number, 3, from it.

9-3 = 6

In the future, if you come across "median," that means to put all of the numbers in order from least to greatest and whatever number is in the middle will be the median. Think of the median of a road, which is at the center. The median in this data set would be 7. If you have two different numbers in the center, find the number between those two. For example: if the two median numbers were 7 and 8, the median would be 7.5.

The mean is the sum of all of the numbers, divided by two. So for this data set, you would do 3+5+5+7+7+7+7+7+8+8+9. Then, you would take the total and divide it by 2.

73 / 2 = 36.5

Answer:

82 yd²

area of rectangle:

Length * Width

area of 2nd rectangle

area of triangle

total:

Answer:

sinkhole valley's typically dont collect water where as sink holes are caused by water displacement of soil

Answer:

y=18

x=14.4

Step-by-step explanation:

The sales tax is 6.7% from $498.00 -> The sales tax = 498 x 6.7% = $33.366.

The total cost of the trampoline = 498 + 33.366 = $531.366

Answer:

See below ↓

Step-by-step explanation:

1.

2.

3.

if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.

so:

5x×12x=120

60x²=120

x²=120÷60

x²=2

x=√2

that means each dimension was increased by √2

so dimensions are: 5√2 and 12√2