Please help with my algebra

Determine whether the situation involves a permutation or combination. Then, find the number of
possibilities.
In how many ways could you choose 3 side dishes from a menu that offers 5 vegetable side dishes
and 3 starches if you want at least one vegetable and one starch?

Answer:

12 baskets

Step-by-step explanation:

We solve this question using the Greatest Common Factor method.

We are told that:

There are

24 bottles of shampoo

36 tubes of hand lotion

60 bars of soap.

The same number of each item should be in each basket.

The greatest number of baskets is calculated as follows:

Step 1

We find the factors of 24, 36, 60

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Step 2

We Identify the number that is greatest and common amongst 24, 36 and 60

This is 12.

Then the greatest common factor is 12

Therefore, the greatest number of baskets is 12 baskets

Answer: 18.4 inches

Step-by-step explanation:

Find common ratio:-

Just Multiply 3 with previous term to get next one

Answer:

$6.90

Step-by-step explanation:

The tip should be $6.90 because you take the 10% tip and turn that into a decimal (0.10) and just multiply that by the bill.

Already answered here: https://brainly.com/question/26946183

Answer:

Step-by-step explanation:

This question bothers on combination. combination has to do with selection.

If 4 faculty members are chosen from total of  8 faculty members, this can be done in 8C4 number of ways.

8C4 = 8!/(8-4)!4!

8C4 = 8!/4!4!

8C4 = 8*7*6*5*4!/4!*4*3*2

8c4 = 8*7*6*5/24

8C4 = 7*5*2

8C4  =70 ways

Similarly,  5 students are to be selected from a pool of 13 students, this can be done in 13C5 number of ways.

13C5 = 13!/(13-5)!5!

13C5 = 13!/8!5!

13C5 = 13*12*11*10*9*8!/8!*5*4*3*2

13C5 = 13*12*11*10*9/120

13C5 = 1,287 ways

The total number of ways the committee can be formed is 8C4 * 13C5 = 70*1287

The total number of ways the committee can be formed is 90,090 ways

Step-by-step explanation:

there is a mistake in your question for sure.

because none of the lines match the function.

f(x) = 31

is a constant function represented by a straight horizontal line going through y = 31.

there is no such line in the graph.

Answer:

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

Step-by-step explanation:

Let

x = number of nickels

y = number of dimes

z = number of quarters

Total worth of the coins = $41.45

Total number of coins = 361

x + y + z = 361 (1)

dime = $0.1,

nickel = $0.05

quarter = $0.25

0.05x + 0.1y + 0.25z = 41.45 (2)

twice as many dimes as quarters.

y = 2z

Substitute y = 2z into (1) and (2)

x + 2z + z = 361

0.05x + 0.1(2z) + 0.25z = 41.45

x + 3z = 361

0.05x + 0.2z + 0.25z = 41.45

x + 3z = 361 (3)

0.05x + 0.45z = 41.45 (4)

Multiply (4) by 20

x + 3z = 361 (3)

x + 9z = 829 (5)

Subtract (3) from (5)

9z - 3z = 829 - 361

6z = 468

Divide both sides by 6

z = 468 / 6

= 78

z= 78

Recall,

y = 2z

= 2(78)

= 156

y = 156

Substitute the value of y and z into

x + y + z = 361

x + 156 + 78 = 361

x + 234 = 361

x = 361 - 234

= 127

x= 127

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

Answer:

Commission in March = $648

Commission in 2011 = $33696

Step-by-step explanation:

Given

[tex]Stocks = \$5400[/tex]

[tex]Commission = 12\%[/tex]

Required

- Determine the amount of commission

- Determine the amount of commission in 2011

This is calculated as

[tex]Amount = Commission * Stocks[/tex]

[tex]Amount = 12\% * 5400[/tex]

[tex]Amount = 0.12 * 5400[/tex]

[tex]Amount = \$648[/tex]

Since the number of weeks in a year is 52.

[tex]Yearly\ Commission = 52 * \$648[/tex]

[tex]Yearly\ Commission = \$33696[/tex]

Step-by-step explanation:

that's for roman I.......

Answer:

124 is your answer to the question

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(2x + 5)(x + 3)(x − 1)=0

Use null factor law to solve for x

Answer:

2

Step-by-step explanation:

because 2x4=8

so 2/8=4

Answer:

32

Step-by-step explanation:

firstly do the inverse which is 4 times 8 which is 32

then to check if ur answer is correct do 32 ÷8 which is 4

Answer:

1. First, we need to find the area of the rectangle, then subtract the non-shaded region from the total of the rectangle's area.

Area of rectangle formula;

A = LW

Where 'L' represents the length, and 'W' represents the width.

Plug in your values:

A = LW

A = 8(13)

A = 104, now that we've found the area of this total rectangle, we need to find the area of the triangle and subtract that from the area of the rectangle.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, and 'H' represents the height and 1/2 is just 1/2.

But, if we look at this triangle we can see that we don't have the base.

So what we have to do is subtract the given side lengths beside it (which you add up) from the total width.

Given length beside unknown base: 4 and 4

So, (4 + 4) = 8, and the total width is 13.

So: 13 - 8 = 5, 5 is our base.

Now we plug these into our formula:

A = BH x 1/2

A = 5(6) x 1/2

A = 30 x 1/2

A = 30/2, which equals to 15.

Now we subtract the non shaded region(triangle) from the shaded region(total area of rectangle).

104 - 15 = 89 meters.

2. In this figure, we find the area of the whole triangle, not considering the small empty vertical-positioned rectangle to the bottom left corner.

Let's find the total base and total height.

As we can see, in the bottom triangle the height is 4, the other triangle has a height of 5. Combine these to get (4 + 5) = 9 is our total height of the whole triangle.

Now we find the base, 5 is the base of the bottom triangle and the other triangle has a base of 2, combine these to get: (5 + 2) = 7 is the total base of the whole triangle.

Now plug these into our formula of area of triangle;

A = BH x 1/2

A= 7(9) x 1/2

A = 63/2

A = 31.5, is the area of the whole triangle.

Now let's find the area of the empty rectangle to our bottom left corner.

Our length is 4, our width is 2.

A = LW

A = 4(2)

A = 8

Now subtract the empty rectangle's area from the total area of the triangle:-

31.5 - 8 = 23.5 inches.

3. We can see that in this figure, there is an empty semi circle(that has no area) apart of a square.

So to find the area of the unfinished square, we find the area of the semi circle and subtract it from the total area of the square.

Formula for area of a circle:

A = π[tex]r^{2}[/tex]

Where 'π' represents pi aka (22/7 or 3.14), and 'r' represents the radius which is being squared.

But if we were to find the area of a semi circle, we would have to divide the whole formula of a regular circle by 2.

So, A = π[tex]r^{2}[/tex]/2

Now, we plug in the values showing in the diagram into our equation.

Though, since we are given a diameter of 6, we need to find the radius which is 1/2(half) of the diameter.

SO,

1/2 x 6 = 3.

Now that we have our radius, we can finally plug this into our equation:-

A = π[tex]r^{2}[/tex]/2

A = 3.14(3^2)/2

A = 3.14(9)/2

A = 28.26/2

A = 14.13, is our area of the semi circle.

Now we have to find the total area of the square, which we easily just multiply the two lengths.

6(length) x 6(width)

= 36, is the area of the total square.

Now we subtract the area of the semi circle from the area of the total square:

36 - 14.13 = 21.87 feet.

4. To find the area of this, we must split the figure into two shapes, a rectangle and a semi circle.

Using the formulas we applied to our past problems;

(Rectangle)

A = LW

A = 20(8)

A = 160, is the area of the rectangle

Now the semi circle (ignore the 12.56, because it's just the circumference):

We have to find the radius, (1/2 x diameter), so: (1/2 x 8) = 4 is our radius.

A = π[tex]r^{2}[/tex]/2

A = 3.14(4^2)/2

A = 3.14(16)/2

A = 50.24/2

A = 25.12, is the area of the semi circle.

Now we add the two areas,

160 + 25.12 = 185.12 feet.

5. We split this figure into two shapes, a rectangle and a triangle.

Using the formulas we applied earlier to our past problems.

(Rectangle)

A = LW

A = 14(12)

A = 168, is the area of the rectangle.

(Triangle)

A = BH x 1/2

A = 8(12) x 1/2

A = 96 x 1/2

A = 96/2

A = 48, is the area of the triangle.

Now we add these areas;

168 + 48 = 216 centimetres.

Answer: 80 m, 150 m, 170 m

Step-by-step explanation:

Answer:

yes and b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

it goes from 3 to 5

Note:-

Calculated approximate values as we can't use ruler in screen !

#1

Sides are

#2

#3

Width:-

Answer:

4 3/8+6 5/8=x and x÷1/4=number of gallons

Answer:

4 3/8+6 5/8=x and x÷1/4=number of gallons

Step-by-step explanation:

The quadrilateral with vertices (0, 0), (0, 4), (8, 4) and (8,0) makes the rectangle.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

The given points are,

(0, 0), (0, 4), (8, 4) and (8,0).

To determine the section for the quadrilateral,

Find distance between points.

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance

= √(x₂ - x₁)² + (y₂ - y₁)²

The distance between (0, 0) and (0, 4)

= √(0-0)² + (4-0)² = √(0)² + (4)² = √(4)² = 4

The distance between (0, 4) and (8, 4)

= √(8-0)² + (4-4)² = √(8)² + (0)² = √(8)² = 8

The distance between (8, 4) and (8, 0)

= √(8 - 8)² + (0 - (4))² = √(0)² + (4)² = √(4)² = 4

The distance between (8, 0) and (0, 0)

= √(0 - 8)² + (0- 0)² = √(-8)² + (0)² = √(8)² = 8

Since, the opposite sides are equal,

Therefore, the quadrilateral is rectangle.

To know more about Rectangle on:

https://brainly.com/question/15019502

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Answer:

-(x+120)

Step-by-step explanation:

solution -V=πr2h=π·32·2≈56.54867

answer-V≈56.55

Answer:

11 & 13 or - 13 & - 11

Step-by-step explanation:

Let the integers are a - 1 and a + 1.

Sum of squares = 290

=> (a - 1)² + (a + 1)² = 290

=> a² + 1² - 2a + a² + 1² + 2a = 290

=> 2a² + 2 = 290

=> 2(a² + 1) = 290

=> a² + 1 = 290/2 = 145

=> a² = 145 - 1 = 144

=> a = ± √144 = ± 12

If a = + 12, numbers are

12 - 1 = 11 & 12 + 1 = 13

If a = - 12, numbers are

- 12- 1 = - 13 & - 12 + 1 = - 11

The fence would cover the perimeter of the triangle.

The perimeter is the sum of the 3 sides:

120 + 80 + 50 = 250 meters.

There will be a 3 meter space for the gate, so subtract 3:

250 - 3 = 247 meters of fence is needed.

Now multiply the amount of fences needed by the price per meter:

247 x 20 = Rs 4,490

Answer:

$63.00

Step-by-step explanation

Since you have sales tax, you would do a 10% sales tax for 15 dollar

10/100 = x/15

Therefore you will calculate x and 100 divided by 15 which would be 6.6 repeated

You would round to the nearest tenth and get 6.6 then you would add 56.4 as in the tip+ month airtime usage and get 63 dollars

brainly please...maybe

Answer with step-by-step explanation:

x = $63.00

Since you have sales tax, you would do a 10% sales tax for 15 dollar

Equation = 10/100 = x/15

Therefore you will calculate x and 100 divided by 15 which would be 6.6 repeated

You would round to the nearest tenth and get 6.6 then you would add 56.4 as in the tip+ month airtime usage and get 63 dollars.

Hope this helped! (brainliest please)

Answer:

x= -7

Step-by-step explanation:

subtract 139 from both sides

x-139-139=x

132-139= -7

Answer:

1. 8liters

2.5

Step -by - step explaination:

8litres= 100

16litres=200

24litres=300

32litres=400

and so on

Answer:0.583

7/12 as a decimal is equivalent to 0.583.

Step-by-step explanation:

Answer:

0.583

Step-by-step explanation:

in this case we must divide the numerator by the denominator ie.(7÷12)