Answer:
26880 ways
Step-by-step explanation:
Given
[tex]Crust = 4[/tex]
[tex]Toppings = 10[/tex]
[tex]Cheese = 8[/tex]
Required
Determine the number of ways 3 toppings and 3 cheese can be selected
The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.
This can be done in [tex]^4C_1[/tex] ways
For the toppings:
3 can be selected from 10 in [tex]^{10}C_3[/tex] ways
For the cheeses:
3 can be selected from 8 in [tex]^{8}C_3[/tex] ways
Total number of selection is:
[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]
Apply combination formula:
[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]
[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]
[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]
[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]
[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]
[tex]Total = 4 * 120* 56[/tex]
[tex]Total = 26880[/tex]
Hence, there are 26880 ways
1.4(X + 3) *
[
4x + 3
X + 12
4x + 12
Answer:
4x + 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Step-by-step explanation:
Step 1: Define
4(x + 3)
Step 2: Expand
Distribute 4: 4(x) + 4(3)Multiply: 4x + 12Answer:
[tex] \huge4(x + 3) = 4x + 12[/tex]
4x+12 is the right answer.Helpppppppppppppppppppppp
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Hope this helps :)
a card is picked at random
from a pack of 52 playing
cards. what is the probobility
of selecting a spade
Answer:
1/4
Step-by-step explanation:
the probability of selecting a spade: 14/52 = 1/4
i need help asap pls and thnx you
Answer:
[tex]z^{3}[/tex] or C
Step-by-step explanation:
i gicveeeeee brainlilstttt
Answer: (-2,6)
Step-by-step explanation:
Hope this helps ;)
pls help !! - Using the graph below, what is the rule for a translation form point A to point D?
Answer:
B
Step-by-step explanation: i took the test on docs/forms
The slope of the line below is -1/7. Write a point-slope equation of the line
using the coordinates of the labeled point.
Answer:
D
Step-by-step explanation:
It’s d
if h(x)=x power of 2 -5x+7 find the value of h(-5)
Answer:
Step-by-step explanation:
wth is college in my recommended anyways here's the answer
your answer is -5
Solve the equation y=10x + 28.75
Answer:
x=y/10-2.875
slope=10
y= (0,28.75)
Standard form; 40x-4y=-115
Step-by-step explanation:
Not sure which answer you're looking for, but hope this helps!
ILL MARK BRAINLIST pls help
You cut out the question-
the length of a living room is 12 fert and its width is 10 1/2 feet. the length of the room is being expanded by x feet. select all the expressions that represent the area of the living room in square feet
Answer:
vbhjnkmlnkbjvhcgfdxgcvhbjnncnng
Step-by-step explanation:
cxvcxbvcbcvbvcbcvbvcvbb
Answer:
thanks
Step-by-step explanation:
PLEASE HELP!!!! ❗❗❗❗❗❗❗
I NEED THE ANSWER TO THIS ASAP!!! PLS HELP!!! question below ;-;
the track team is trying to reduce their time for a relay race. First they reduced their time by 2.1 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.96 minutes, what was their beginning time? Show or explain your reasoning.
Answer:
6.27 minutes
Step-by-step explanation:
3.96+2.1=6.06
1/10=0.1x2.1=0.21+6.06=6.27
HELLPPP PLEASE WILL GIVE BRAINLIEST
Answer:
25
Step-by-step explanation:
90-65=25
5-4x=23
What's the value of x and please show your work.
Answer:
x = 9/2 or 4.5
Step-by-step explanation:
5-4x=23 |-5
5-4x-5=23-5
-4x=18 |*(-1)
4x=18 | /2
2x=9 |/2
x=9/2 or 4.5
Answer:
x = 4.5
Step-by-step explanation:
Subtract 5 from BOTH sides to start with:
5-5 = 0 (5 cancels out on left side) 23-5 = 18
New Equation: -4x = 18
Divide BOTH sides by -4
4 cancels out (x is left) 18/4 = 4.5
New: x = 4.5
Solve for x
4^x/9^x=½
Answer:
x = 0.85476
Step-by-step explanation:
4ˣ/9ˣ=½
9ˣ / 4ˣ = 2
(9/4)ˣ = 2
2.25ˣ = 2 .... aⁿ = x logₐx = n
log₂.₂₅2 = x
x = 0.85476
1. If the original price of an item was 75 cents and the new price is 81 cents, 1 pc
what is the percent change? (MAKE SURE YOU TYPE % AT THE END OF
YOUR ANSWER) *
Your answer
Answer:
8%
Step-by-step explanation:
Original Price = 75 cents New Price = 81 cents, % increase = ?
% increase = 81 - 75/75 × 100%
% increase = 6/75 × 100%
% increase = 8% ( Ans)
Angela works at a job that pays $9.46 per hour. She works for 30 hours per week.
Compute the total amount that Angela makes in one week.
$
Number
plz help me i really beg of you!
Answer:
v = -122.5
Step-by-step explanation:
1: 2.3 + v/7 = -15.2
2: v/7 = -17.5
3: v = -122.5
Step 1: This is the given equation
Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v
Step 3: both sides of the equation were multiplied by 7 to get v = -122.5
Answer:
245 over 2
Step-by-step explanation:
just use a calculator and you should be able to get the question right
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?
Answer:
12
Step-by-step explanation:
5/6 / 1/3 equals what
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Division of Fractions
Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.
Given the fractions:
[tex]\frac{a}{b}[/tex]
[tex]\frac{c}{d}[/tex]
The division:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]
can be done by multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]
We are given the fractions 5/6 and 1/3. Their division is:
[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]
Simplifying:
[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]
Answer: [tex]\mathbf{\frac{5}{2}}[/tex]
Jiyoung spent $82 at Uniqlo on shirts and shorts. She lost the receipt but knows that the shirts are
$11 each, and the shorts were $9 each. If Jiyoung bought 5 shirts, how many shorts did she buy?
its 3 shorts
Step-by-step explanation:
11×5= 55 82-55= 27 27÷9= 3
Answer:
Step-by-step explanation:
Given this information, we can set up an equation
[tex]11x + 9y = 82[/tex], where x is the amount of shirts bought, and y is the amount of shorts bought. Since we know she bough 5 shirts, we can replace x with 5
[tex]11 (5) + 9y = 82[/tex] Now, we have to find for y.
Step 1. Simplify
[tex]55+9y=82[/tex]
Step 2. Subtract 55 from both sides
[tex]55-55+9y=82-55\\9y=27[/tex]
Step 3. Divide both sides by 9
[tex]\frac{9y}{9}=\frac{27}{9}\\y=3[/tex]
If y = 3, this means that Jiyoung bought 3 shorts.
math The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed
Answer:
2730 ways
Step-by-step explanation:
Given that,
There are 15 eligible candidates for these positions.
The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.
It is a concept based on permutations.
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
Put n = 15 and r = 3
[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]
Hence, 2730 ways can the members of the cabinet be appointed
Simplify the expression:
Question 20 options:
A)
B)
2
C)
4
D)
The ratio using a colon is
a ratio?
What numbers a provided
Which can provide the most energy in an ecosystem?
a mushroom ,a coyote, a pine tree ,a grassy meadow
does someone know the correct answer?
Answer:
C
Step-by-step explanation:
please give correct answer <3 :(
Answer:
216g^3
Step-by-step explanation:
6g^3 g^3
6g^3 = 6g * 6g * 6g = 216g^3
Answer:
[tex]216g^{3}[/tex]
Step-by-step explanation:
6^3 x g^3=
6^3=216
216g^3
Help me please thanks
Answer:
y=x+4
Step-by-step explanation:
Slope intercept is y= mx+b
The slope is rise/run or change in y/change in x. Here the slope is 1 since when y goes up1, x goes to the right 1 (1/1=1).
The y intercept is 4 since it hits the y axis at 4.
so it would be y= 1x+4 which is y=x+4
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?
Answer:
37.7
Step-by-step explanation:
C = 2 pi r
C= πd
12× 22/7
= 264/7
= 37.71cm
