A dessert cart in a restaurant has 12 possible dessert options. In how many ways could your family of 4 select their desserts?
Using the combination formula, it is found that your family could choose the desserts in 495 ways.
The order in which the desserts are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 desserts are chosen from a set of 12, hence:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
Your family could choose the desserts in 495 ways.
More can be learned about the combination formula at https://brainly.com/question/25821700
A river 3 m deep and 40 km wide is flowing at the rate of 2 km/h. How much water will fell into the sea in a minute?
Please answer
Answer:
The answer is 4000 m³
Step-by-step explanation:
Given;Depth of river (h) = 3mWidth of river (b) = 40mRate of water flow = 2 km/hour To Find;We have to find out how much water will fall into the sea in a minute.Now,
Rate of water flow = 2 km/hour
= 2000m/60min
= 100 m per min
Now, Volume of water flowed in 1 min,
= (100/3) × 40 × 3 = 4000m³
Thus, 4000 m³ of water will fall into the sea in a minute.
Please help with my math thank you for all that helped!---------------NO LINKS AT ALL
Answer:
1a) 9+9+9+9=36
b) 9×9=81. Hope this helped
2(x-3)+3y when x=5 and y=3
Step-by-step explanation:
2 ( 5 - 3 ) + 3 ( 3 )
2 × 2 + 9 = 4 + 9 = 13
A large bottle of juice contains 500 mililiters of juice. A medium bottle contains 70% as much juice as the large bottle.
How many milliliters of juice are in the medium bottle?
Answer:
350ml
Step-by-step explanation:
70% of 500=
500 divided by 10=50
50x7=350ml
Answer:
juice contained in large bottle = 500 ml
juice contained in medium bottle = 70% of large bottle
= 70 % of 500 ml
= 70/100 × 500
= 350 ml
The work shows the long division of 647 ÷ 3.
Find the values of a and b in the long division problem.
a =
b =
So, 647 3 = 215 +
I'm assuming ratio of a to b is the remainder of the long division.
Need help with this plss
Answer:
LN is a radius
Step-by-step explanation:
a segment drawn from the centre of a circle to a point on the circle is a radius.
Answer:
Radius
Step-by-step explanation:
The radius of a circle is a line segment whose endpoints are the center point of the circle and a point on the circumference of the circle.
Brainliest for the correct answer (If you say anything completely wrong like 98 you're getting reported): What is the area of the figure?
Answer: 578
Step-by-step explanation:
12 x 7 = 84
13 + 8 + 4 + 10 = 25
25 x 14 = 350
4 x 10 = 40
8 x 13 = 104
84 + 350 + 40 + 104 = 578
Please help me with word problems
Answer:
Step-by-step explanation:
.16x + 22.92 = 25.00
.16x = 2.08
x = 13 yards of ribbon
pLs HeLp Mememememe :((((((((((((((((((((( (
Answer:
21/2
Step-by-step explanation:
10.5 is correct, but that's a decimal
21/2=10.5
Answer:
21/2
Step-by-step explanation:
10*2 = 20
then 20 + 1 = 21
to get your answer which is 21/2
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Hello I need help on this math question
Answer:
23
Step-by-step explanation:
Andy, Brenda, Carla, and Diego put their names in a hat and pull out two names.
If A represents Andy, B represents Brenda, C represents Carla, and D represents
Diego, what are all the different pairs of names they can pull out?
Answer:
A and B
A and C
A and D
B and C
B and D
C and D
The company warehouse contains 100 pallets of office paper, 25 pallets of photo paper, and 50 pallets of card stock. Each pallet of office paper is valued at $96, each pallet of photo paper is valued at $180, and each pallet of card stock is valued at $110.
Your partner is calculating the inventory value of these papers but thinks there is an error. Where in the calculations below is the error?
Step Description Result
1 Multiply 100 by $96 $ 9,600
2 Multiply 25 by $180 $ 4,500
3 Add $13,100
4 Multiply 50 by $110 $ 5,500
5 Add $18,600
A. Step 1
B. Step 2
C. Step 3
D. Step 4
E. Step 5
Answer:
c.
Step-by-step explanation:
A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36
Brainliest available
Simplify
Answer:
8x^3y^3
Step-by-step explanation:
Thats the answer but the ones with the symbol are up
To simplify this, we must simply power every component within the parentheses by 3
[tex](2xy)^3=2^3*x^3*y^3 = 8x^3y^3[/tex]
Hope that helps!
Is this a function someone pls tell me
Answer:
that is not a function
Step-by-step explanation:
What is the radius of a circle (rounded to the nearest tenth) that has an area of 48?
Answer:
3.9
Step-by-step explanation:
Use the formula A = πr^2 (area of a circle = Pi times radius squared)
Plug in what we know:
48 = πr^2 (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)
15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)
3.9 = radius
The radius of the circle (rounded to the nearest tenth) is 3.1.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
We can use this formula to solve for the radius of the circle with an area of 48:
A = πr²
48 = πr²
Dividing both sides by π gives:
r² = 48/π
Taking the square root of both sides gives:
r = √(48/π)
r ≈ 3.1
Therefore, r ≈ 3.1.
To learn more about the circle;
https://brainly.com/question/29142813
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For exercises 4–9, find the value of x. round to the nearest tenth.[
Answer:
Step-by-step explanation:
where is exercise 4-9?
or at least give us the equation
3
Lucas and Zoe visit their mother on April 7th. From then on, Lucas visits his mother every
fifth day and Zoe visits every eighth day. On what date will Lucas and Zoe both next visit their
mother at the same time?
Answer:
Lucas and Zoe will both next visit their mother on 7th of May at the same time.Step-by-step explanation:
First, find the first multiple that can be divisible by 5 and 8:
40 is divisible by 5 and 8.
Second, find the days in April and subtract 7 from the days:
April=30 days.
30-7= 23 days.
Finally, subtract 23 from 40 and find it in the next month, which is May:
40-23=17
Therefore, they will both next visit their mother on the 7th of May.
1x4-9-5/9+100-0+0x67x0 brianlest first answer
The Books Galore bookstore made 3 different orders for The Number Book. The ratio
of the amount of books sold and the price of each book is a fixed number. The table
shows their 3 orders.
Book Order Total Cost
212
S665.68
?
S1450.68
375
Part A
What is the number of books ordered for a purchase of $1450.68?
0453
O 456
O 462
465
13 14 15
16
17 18 19 20
Question 5
0.2 pts
A pizza shop that sells pízza by the slice will let you buy the left overs of each pizza. Lily
selects 5 pizzas that are 2/3 of a whole pizza.
How many WHOLE pizzas does Lily end up having? Explain the strategy you used to get
your solution
Edit View Insert Format Tools Table
12ptParagraph
В І САУ руту
:
Answer:3 1/3 pizza in total but 3 whole pizzas
Step-by-step explanation:
if you add 2/3+2/3+2/3+2/3+2/3 you get 3 1/3 but its asking how many whole pizzas their are so 3.
If the steak your purchasing is 6 ounces how much does each once cost
can you help me? please
Answer:
The answer is B. 600
Step-by-step explanation:
Hope that helps!
Answer:
B. $600.00
Step-by-step explanation:
every 10hrs worked you are getting $120.00 so just add $120.00 every 10 hrs
Find the length of a picture frame whose width is 3 inches and whose proportions
are the same as a 9-inch wide by 12-inch long picture frame.
6 inches
Answer:
correct answer is 9 inches
Step-by-step explanation:
Katrina is going to paint the front door of her house. What is the area of the door? Use 3.14 for pi.
Please help me, this is do any day now. Tysm! Brainliest to best answer! Find m <1.
(Attachment of the Figure is Displayed Below)
O 57 degrees
O 63 degrees
O 117 degrees
O 123 degrees
Answer:
1 = 123 degrees
Step-by-step explanation:
A Triangle = 180 degrees
A flat line = 180 degrees
To solve this, we need to figure out the triangle first :)
60 + 63 + t = 180
123 + t = 180
180 - 123 = 57
Now that we know the triangle, we can figure out x :)
180 - 57 = 123
1 = 123
Have an amazing day!!
Please rate and mark brainliest!!
A plane traveling with the wind travels 900 miles in 5 hours. the return trip is against the wind and takes 9 hours. find the rate of the plane in still air and the rate of the wind.
Using the relation between velocity, distance and time, it is found that:
The rate of the plane in still air is of 140 mph.The rate of the wind is of 40 mph.What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
A plane traveling with the wind travels 900 miles in 5 hours, hence:
[tex]v_a + v_w = \frac{900}{5}[/tex]
[tex]v_a + v_w = 180[/tex]
The return trip is against the wind and takes 9 hours, hence:
[tex]v_a - v_w = \frac{900}{9}[/tex]
[tex]v_a - v_w = 100[/tex]
From the first equation, we have that:
[tex]v_w = 180 - v_a{/tex]
Replacing on the second:
[tex]v_a - v_w = 100[/tex]
[tex]v_a - 180 + v_a = 100[/tex]
[tex]2v_a = 280[/tex]
[tex]v_a = 140[/tex]
[tex]v_w = 180 - 140 = 40{/tex]
Hence:
The rate of the plane in still air is of 140 mph.The rate of the wind is of 40 mph.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
8/4 x 3/4. I know it is 1.5 but can someone show step by step? I am having trouble.
[tex]\dfrac 84 \times \dfrac 34\\\\\\=2 \times \dfrac 34\\\\\\=\dfrac 32\\\\\\=1.5[/tex]
Step-by-step explanation:
First divide 8 by 4 and 3 by 4
it will be 2×0.75=1.5
please solve the system of equations below thank you
explain if u can