Answer:
(a) 30
(b) 10
Step-by-step explanation:
There 3 different flavors of ice-cream available and 5 different toppings are available.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]
(a)
Compute the number of possible sundaes that can be made with one flavor and three different toppings as follows:
[tex]\#\text{Sundaes}=\#\text{Ways to select 1 flavor}\times \#\text{Ways to select 3 toppings}[/tex]
[tex]={3\choose 1}\times {5\choose 3}\\\\=3\times 10\\\\=30[/tex]
(b)
Compute the number of possible sundaes that can be made if there are three scoops of each ice cream and two different toppings as follows:
[tex]\#\text{Sundaes}=\#\text{Ways to select 1 flavor}\times \#\text{Ways to select 3 toppings}[/tex]
[tex]=1\times {5\choose 2}\\\\=1\times 10\\\\=10[/tex]
Which expression below does not represent 343?
7³
7 · 7 · 7
7(49)
9 · 9 · 9
Answer:
9x9x9 because if you multiply themyou get 729
Step-by-step explanation:
Solve for the variable.
5t - 3 = 3t + 9
F
t = 6
0
t = 9
H
t = 3
J
t = 8
5t-3=3t+9
5t-3-3t=3t+9-3t
2t-3=9
2t-3+3=9+3
2t=12
2t/2 =12/2
t=6
Find the unit rate in decimal representation $150 for 22 ft.²
Answer:
$6.82 per foot
Step-by-step explanation:
To find the unit rate, divide.
150 / 22 ≈ 6.82
Best of Luck!
You deposit $2000 in an account earning 7% interest compounded continuously. How much will you have in
the account in 15 years?
Answer:
$3,715.30
Step-by-step explanation:
Total P+I (A): $3,715.30
Principal (P): $2,000
Compound (n): Continuously
Time (t in years): 15 years
By plugging this into an interest rate calculator, the amount settles to be approximently $3,715.30
Hope this helps!
What is the cost of a $40 after a 15% mark-up?
Answer:
Revenue: $46
Profit: $6
A music store sold 10 to the third power CDs and 10 to the second power cd players if each CD cost $12 in each CD player cost 35 what was the stores total earnings
Answer:
$15500
Step-by-step explanation:
10^3 x 12 = 12,000
10^2 x 35 = 3,500
12,000 + 3,500 = 15,500
13, 11, 9, 7 what is the recursive rule
Answer:
it is -2
Step-by-step explanation:
because 13-2=11-2=9-2=7-2=5-2=3-2=1
Noah bought b burritos and paid c dollars. Lin bought twice as many burritos as Noah and paid twice the cost he did.
How do Noah's and Lin's orders compare?
A) They ordered the same number of burritos.
B) Noah ordered more burritos.
C) Lin ordered more burritos.
D) You don't know anything because there are no numbers, just letters.
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which equation is y = –6x2 + 3x + 2 rewritten in vertex form
Answer:
14 + 3x
Step-by-step explanation:
6x2= 12
12 + 3x + 2
=14 + 3x
Answer:
y =-6(x-1/4)^2+19/8
Step-by-step explanation:
I hope this helps I don't have an explanation I just got it right on EDG 2021
God Bless You!!!!!
in which quadrant is the solution to this system of equations? 2x + 5y = 1
3x - 4y = 13
Answer: Quadrant IV
Step-by-step explanation: Pic attached.
I found the x and y using substitution (isolating one variable and plugging it into the other). There was probably an easier way but I couldn't think of it at that moment.
From there, you have the point ( 133/36 , -23/18), or a (+, -).
Find Which quadrant has positive x and negative y.
In this case, this would be Quadrant IV or 4.
Hope this helps! Sorry if too complicated lol.
39. State the equation for the line described below.
40. State the equation of the line that passes through the points (–7, 5) and (–12, 4).
Picture is attached
Answer:
Step-by-step explanation:
39). y = [tex]-\frac{7}{8}[/tex] x + 3
40). m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
(- 7, 5)
( - 12, 4)
m = ( 4 - 5 ) / ( - 12 + 7) = 1/5
y - 5 = (1/5)(x + 7) ⇒ y = [tex]\frac{1}{5}[/tex] x + 6.4
What is the slope of the line that is paralell to the line y=3/4 x +2
Answer:
m (parallel) = 3 /4
Step-by-step explanation:
on the graph Y will start on two
Kim made $5.35 on the first day
she set up her lemonade stand. If
she makes the same amount each
day for 6 days, how much money
will she have? (6-5)
A $42.80
B $37.30
C $32.10
D $28.70
Answer:
$32.10
Step-by-step explanation:
do 5.35 but six times and then add that all up then it will be 32.10
Answer:
C
Step-by-step explanation:
its c because 5.35 times 6 is C
Simplify:w^30/(w^3)^2
Answer:
Step-by-step explanation:
[tex](a^{m})^{n} = a^{m*n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{w^{30}}{(w^{3})^{2}} = \frac{w^{30}}{w^{3*2}}[/tex]
[tex]= \frac{w^{30}}{w^{6}}\\\\=w^{30-6}\\\\= w^{24}[/tex]
Answer:
w^24
You would simplify the expression by first finding the product of (w^3)^2 which is w^6. Next you would divide w^30 and w^6 which would get you your answer which is w^24. Hope this helps!
Describe a situation that could be modeled with the ratio 3: 1.
Answer:
three boys to 1 girl
Step-by-step explanation:
a
Fine the distance between (-8, 4) and (-8, -2)
Answer:
The distance between the two points is six units.
Step-by-step explanation:
We are given two coordinate pairs:
(-8, 4)(-8, -2)With these, we can find the distance between the two using the distance formula. The distance formula is:
[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, \ \text{where d is the distance.}[/tex]
Additionally, we need to label our coordinates. In math, coordinates are labeled as (x₁, y₁) and (x₂, y₂).
Therefore, our coordinate pairs can be labeled in this format.
(-8, 4)
x₁ = -8y₁ = 4(-8, -2)
x₂ = -8y₂ = -2Now, we can substitute these values into the formula and solve for d.
[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d = \sqrt{(-8 - -8)^2 + (-2 - 4)^2}\\\\d = \sqrt{(0)^2+(-6)^2}\\\\d = \sqrt{0 + 36}\\\\d = \sqrt{36}\\\\d = 6[/tex]
Therefore, the distance between the two points is six units.
9. Evan's dog weighs 4 pounds. What is the weight of Evan's dog in ounces?
Evan's dog weighs 64 ounces
Consider an ANOVA procedure to compare five population means. In this case, the total number of pairs to be considered in multiple comparisons is ten. If the probability that the null hypothesis is falsely rejected at least once in all six pairs needs to be 0.05, the probability that the null hypothesis is falsely rejected in each pair should be:________. (Give your answer to 4 decimal places.)
Answer:
The right response is "0.0085". A further explanation is given below.
Step-by-step explanation:
Let,
P (across each pair, this same null hypothesis would be wrongly rejected) be "a".
Therefore,
⇒ [tex]P=1-P(no \ time \ rejected)[/tex]
⇒ [tex]1-(1-a)^6 =0.05[/tex]
⇒ [tex]1-a=0.95^{(\frac{1}{6} )}[/tex]
⇒ [tex]a=1-0.95^{(\frac{1}{6} )}[/tex]
⇒ [tex]0.0085[/tex]
PLEASE HELP! I HAVE TWO QUESTIONS AND WILL GIVE 100PTS AND BRAINLIEST IF CORRECT!
1. A spool of ribbon holds 6.75 meters. A craft club buys 21 spools. What is the total cost if the ribbon sells for $2 per meter?
2. A spool of ribbon holds 6.75 meters. If the club uses 76.54 meters to complete a project, how much ribbon will be left
Answer:
1) $283.50
2) 65.21 meters.
Step-by-step explanation:
Part 1)
We know that a spool of ribbon holds 6.75 meters.
A craft club buys 21 spools.
So, the total length of ribbon bought is:
[tex]T=21(6.75)=141.75\text{ meters}[/tex]
Each meter costs $2. So, the total cost will be:
[tex]141.75(2)=\$ 283.50[/tex]
Part 2)
A spool holds 6.75 meters.
We bought 21 of them, so that total length we have is 141.75 meters.
The club used 76.54 meters.
So, the amount of ribbon that is left is represented by:
[tex]141.75-76.54[/tex]
Subtract:
[tex]=65.21\text{ meters}[/tex]
So, 65.21 meters of ribbon will be left.
Answer:
1. $283.5
2. 11
Step-by-step explanation:
1. 6.75*21 = 141.75
= 141.75 * 2
= 283.5
Given f(x) = - 3x + 1 , solve for a when f(x) = - 5 .
Answer:
x=2
Step-by-step explanation:
-5=-3x+1
-1 -1
-6=-3x
divide both sides by -3
x=2
The value of x when f(x) = - 5, In the function f(x) = - 3x + 1 is 2.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = - 3x + 1.
Now, when f(x) = - 5 the equation would be,
- 5 = - 3x + 1.
- 5 - 1 = - 3x.
- 6 = - 3x.
3x = 6.
x = 2.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ2
A packing machine can pack 2,500 boxes in 5 hours. At what rate does the machine work?
(HELP TAKING A TEST)
Answer:
500 boxes an hour?
Step-by-step explanation:
Answer:
The machine can pack 500 boxes in one hour
You can add +500 in case for more hours
Step-by-step explanation:
2,500 divided by 5 is 500.
Can you someone help me
(6,8) is the answer also this could be the answer too (6,2)
hope this helps
Use substitution to solve the system of equations. How many solutions are there? 1/2x − 1/3y = 5 x = 2/3y + 10
Answer:
2 solutions cuz
2 variable are there
What is between tenths on a number line?
Answer:
One twentieths (if you're asking for numbers smack dab between two tenths numbers) or anything with a denominator above or equal to eleven (if you're just talking about any number between two tenths numbers.
Step-by-step explanation:
Hope this helped!
Tell whether the other pair (8,2) is a solution of the system of linear equations.
x - y = 6
2x - 10y = 4
The ordered pair ______ a solution.
Answers
Is
Is not
The answer is not a solution
By direct evaluation, we will see that the pair (8,2) is not a solution of the system of equations.
Evaluating a system of equations.
A given point is a solution of a system of equations if and only if it is a solution for both equations, then to see if (8, 2) is a solution of the given system, we need to replace the values in both equations and see if it is a solution of each one.
For the first one we have:
x - y = 6
8 - 2 = 6
6 = 6
So (8, 2) is a solution of the first equation.
For the second one we have:
2x - 10y = 4
2*8 - 10*2 = 4
16 - 20 = 4
-4 = 4
Note that this equation is false, then the point (8, 2) is not a solution for the second equation, then the point is not a solution for the system of equations.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/14323743
if cade shoots 359 free throws shoot in 4 hours, how many can he shoot in 6 hours
Determine the two z-scores that divide the area under the standard normal curve into a middle 0.874 area and two outside 0.063 areas.a. -1.45, 1.45
b. -1.39, 1.39
c. -1.53, 1.53
d. -1.46, 1.46
A recipe for whole wheat pizza crust calls for 1 1/2 cups of all purpose flour. Jeremy has 5 7/4 cups of all purpose flour. If he makes the recipe, how much flour will he have left?
Answer:
Jeremy has 5 1/4 cups of all purpose flour after preparing his recipe.
Step-by-step explanation:
Since the recipe for whole wheat pizza crust calls for 1 1/2 cups of all purpose flour, 1.5 cups of that product is required to create the meal in question.
Now, since Jeremy has 5 7/4 of all purpose flour, it can be stated that he has 6.75 cups of it (7/4 = 1.75).
Therefore, to determine the amount of flour that Jeremy will have left over after preparing the recipe, it is necessary to perform the following calculation:
6.75 - 1.5 = X
5.25 = X
So since 0.25 is equal to 1/4, Jeremy has 5 1/4 cups of all purpose flour after preparing his recipe.
whoever answers correctly gets brainliest
im just answering for free points
Step-by-step explanation:
Carl bought an airline ticket. Two weeks ago, the cost of this
flight was $900. What is the percent increase?
HELPP
Answer:
hey can you give us the buying price of the ticket so we can find the increase? thanks :)
Step-by-step explanation: