Using the Fundamental Counting Theorem, it is found that 350 meals are possible.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
Considering the menu described in the problem, we have that:
[tex]n_1 = 5, n_2 = 10, n_3 = 7[/tex].
Hence the number of meals possible is given by:
N = 5 x 10 x 7 = 350.
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What are the x and y-intercept of 4x – 8y = 2?
tell me even and odd number
Step-by-step explanation:
odd 1, 3, 5
even 2, 4, 6
didneosndoeks
Answer:
Odd: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99,101
Step-by-step explanation:
Even: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,96,98,100
3(x-2)+7=16 simplified
9514 1404 393
Answer:
3x +1 = 16
Step-by-step explanation:
"Simplified" usually means parentheses are eliminated and like terms are combined.
3(x -2) +7 = 16 . . . . . given
3x -6 +7 = 16 . . . . . . parentheses eliminated using the distributive property
3x +1 = 16 . . . . . . . . . constants are combined (simplified equation)
__
You can solve this in 2 steps:
3x = 15 . . . . subtract 1
x = 5 . . . . . . divide by 3
|10 + 10m|=90
Help please -
Answer:
m=8,-10
Step-by-step explanation:
Amanda's graduation picnic costs $11 for the decorations, plus an additional $3 for each attendee. At most how many attendees can there be if Amanda budgets a total of $47 for her graduation picnic?
Answer:
16
Step-by-step explanation:
47 divided by 3 is 15.6666666667 i rounded up
Answer:
12
Step-by-step explanation:
11+3x=47
3x=36
x=12
!!20 points!!Choose the answer that best represents the situation described below.
John takes a job after school to earn money to buy a surfboard. He knows
that the more hours he works, the more money he will make.
A. The amount of money John makes is a function of the number of
hours he works.
B. The number of hours John works is a function of the amount of
money he makes
C. John's job is a function of his interest in surfing.
Answer:
B
Step-by-step explanation:
Answer:
A. The amount of money he makes is a function
Write a positive or negative integer that represents the situation.
An airplane climbs to 37,500 feet.
The integer_____
represents the situation.
Answer:
37,500
Step-by-step explanation:
If the airplane is climbing, that means that it is gaining altitude. The integer would be positive, and the 37,500 feet gives us the number. The answer is 37,500 feet.
Jorge wants to buy a shirt for $35. How much will Jorge’s shirt cost in Fresno? Here is the percent in the picture
Simplify the expression.
ky + y + y =
Answer:
ky + 2y
Step-by-step explanation:
ky + y + y
~Combine like terms
ky + 2y
Best of Luck!
Answer:
ky + 2y
Step-by-step explanation:
ky = ky (it stays the same)y + y = 2yPut them together: ky + 2yI hope this helps!
another word for the perimeter of a circle is the
a- center
b- circumference
c- radius
d- diameter
Answer:
B
Step-by-step explanation:
Answer:
Another word for perimeter is the circumference. Please mark as helpful if it is helpful!
i have been stuck on this problem please someone answer this its getting annoying
Answer:
circumference = 150.72cm
area = 1808.64cm²
Step-by-step explanation:
the formula for circumference = 2πr
the formula for area = πr²
24cm is the radius (r)
so therefore
circumference = 2(3.14)(24)
= 150.72cm
area = (3.14)(24)²
= 1808.64cm
im not too great at math- but I think this is correct ^^
two consecutive whole numbers that √13 lie between
3 and 4. 3^2=9 and 4^2=16. 13 is between the two.
A line passes through the point (4,-6) and has a slope of -3/4which is the equation of the line?
Answer:
y=(-3/4)+3
Step-by-step explanation:
Which is greater 20% of 200 or 10%of 100
Answer:
first one is greater
1=40&2=10
Answer:
20% of 200
Step-by-step explanation:
20% of 200 is 40 while 10% of 100 is 10.
Tom works for a constant hourly wage of w dollars. Which answer shows the correct relationship between e Tom total earnings in a week and h the number of hours he worked during the week
Answer:
e = wh
Step-by-step explanation:
When writing
the equation of a line in slope-intercept
form, how can you determine the value of
m in y = mx + b if you know the coordinates
of two points on the line?
Johnny has a math test on Friday, an English test on Tuesday, and a social studies quiz on Wednesday. Over the weekend, he read 20 books. He needed to read 5 books for his English test and 2 books for his social studies quiz. A week later, Johnny received a 92 on his math test, 84 on his English test, and a 90 on his social studies quiz. What percent of books did Johnny read that were for social studies? Round to the nearest whole number (percentage). Do not include % in your answer. For example, if the answer is 19%, enter 19.
Answer: The percent of books did Johnny read that were for social studies=10%
Step-by-step explanation:
Given: Total books he read -= 20
Number of books for social studies = 2
The percent of books did Johnny read that were for social studies
[tex]=\dfrac{\text{Number of social studies books}}{\text{Total books}}\times100\\\\=\dfrac{2}{20}\times100\%\\\\=\dfrac{100}{10}\%=10\%[/tex]
Hence, the percent of books did Johnny read that were for social studies=10%
6(4x-3)-9x? simplify or expand the expression
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Answer:
15x−18
Step-by-step explanation:
Choose the two rectangles with an area of 36 square feet.
10 ft
8 ft
D.
A
8 ft
4 ft
9 ft
9 ft
B.
E.
4 ft
9 ft
6 ft
C.
6 ft
Answer:
a
Step-by-step explanation:
If the Internet consisted of four computers, there would be six possible connections. If it consisted of five computers, there would be ten possible connections. How many connections are possible with twenty computers
Answer:
80 possible connections
Step-by-step explanation:
Let the constant k = change in possible connection/number of computers
change in possible connections = 10 - 6 = 4
change in number of computers = 5-4 = 1
k = 10-6/5-4
k = 4/1
k = 4
Since k = possible connections/number of computers:
4 = possible connections/20
possible connections = 4 * 20
possible connections = 80
Hence the possible number of connections with 20 computers are 80 connections
PLEASE HELP WILL GIVE BRAINLIEST. Which of the following describes the function –x4 + 1?
Answer:
The correct answer is-
b. The degree of the function is even, so the ends of the graph continue in the same direction. Because the leading coefficient is negative, the left side of the graph continues down the coordinate plane and the right side also continues downward.
Step-by-step explanation:
I took the test and got it right.
Steve types at a rate of 45 words per minute. He writes an equation relating the number of words he can type, w, to the number of minutes he spends typing, m. w = 45m Xena doesn’t know the number of words per minute that she can type. But she recorded the time it took her to type different numbers of words in this table.
minutes words
02 100
04 200
08 400
Answer:
50 words per minute
Step-by-step explanation:
If in 2 minutes she can type 100, that means you must divide 100 by 2. 100 divided by 2 equals 50. You can check this by doing the same with 200 words in 4 minutes by dividing 200 by 4 to get 50. Xenas equation would be w=50m
Her average typing rate is 50 words per minute.
Here,
To find out Xena's typing rate (words per minute), we can use the data she recorded in the table.
We can calculate her typing rate by dividing the number of words she typed by the time it took her to type those words.
Let's perform the calculations:
For the first row (2 minutes, 100 words):
Typing rate = Words / Time
= 100 words / 2 minutes
= 50 words per minute
For the second row (4 minutes, 200 words):
Typing rate = Words / Time
= 200 words / 4 minutes
= 50 words per minute
For the third row (8 minutes, 400 words):
Typing rate = Words / Time
= 400 words / 8 minutes
= 50 words per minute
As we can see from the calculations, Xena's typing rate is consistent at 50 words per minute for all the recorded data.
Therefore, her average typing rate is 50 words per minute.
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3.
Which of these place values is found to the left of 0.001?
ones
hundredths
thousandths
tenths
Answer:
If you’re talking about the number next to one, it’s the hundredths place. If you’re talking about the number to the left of the period, it’s the tens place.
Step-by-step explanation:
Pls Help - *Brainliest*
Answer:
A, B, E
Step-by-step explanation:
I hope this helps!!!
What is a equivalent ratios 3:11
Answer:
6:22
9:33
12:44
Step-by-step explanation:
Answer:
15:55
Step-by-step explanation:
3x5 equals 15 and 11x5 is 55
g Find two positive numbers whose sum is 380 and whose product is a maximum. You MUST use optimization methods to solve this.
Answer:
The first number is 190 and the second number is also 190
Step-by-step explanation:
let the first number = x
let the second number = y
The sum of the numbers is given by;
x + y = 380
y = 380 - x
The objective function is given by;
F = xy
F = x(380 -x)
F = 380x - x²
Take the derivative of the function;
F' = 380 - 2x
Find the critical points;
380 - 2x = 0
2x = 380
x = 380 / 2
x = 190
Determine the second number, y;
y = 380 - x
y = 380 - 190
y = 190
use the equation to answer the question -8x+23=6x+18 what valule of x makes the equation true enter the answer in the box
Answer: x= −0.357142857142857
Step-by-step explanation: don’t count me on it
find the angle of y dasdwadasdaw
Answer:
C
Step-by-step explanation:
Since angles x and y lie on a single straight line,
∠x +∠y= 180° (adj. ∠s on a str. line)
Given that ∠x= 42°,
42° +∠y= 180°
∠y= 180° -42° (-42° on both sides)
∠y= 138° (simplify)
Thus, option C is correct.
x − (5 − 3x) ≤ 2x − 1
write the equation for: Ten less than eight times a number (n) is 14.
Answer:
8n-10=14
Step-by-step explanation:
Answer:
10-8n
Step-by-step explanation: