9514 1404 393
Answer:
120
Step-by-step explanation:
We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...
10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120
120 different 3-topping pizzas can be made if 10 toppings are available.
_____
Additional comment
If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.
You are playing a game where you draw a card from a standard deck, and you will win $13 if you draw a face card,
$3 if you draw an ace and lose $5 if you draw any other card. What is the expected gain from this game?
Round your final answer to the nearest cent.
Answer:
Step-by-step explanation:
win
There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.
There are 4 suits so the number of face cards is 3*4 = 12
There is 1 ace / suit
There are 4 suits so the number of aces is 1 * 4 = 4
The gain from the face cards = 12 * 13 = 156
The gain from the aces = 4 * 3 = 12
Total gain = 168
Losses
Any other card costs you $5
How many cards is that? 52 - 16 = 36
Each one costs 5 dollars
Total loss = 5 * 36 = 180
So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.
Suppose y = sqrt 2x+1, where x and y are functions of t.
(a) If dx/dt = 9, find dy/dt when x = 4.
(b) If dy/dt = 3, find dx/dt when x = 40.
If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives
dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt
(a) If dx/dt = 9 and x = 4, then
dy/dt = 1/√(2•4 + 1) • 9
dy/dt = 1/√(8 + 1) • 9
dy/dt = 1/√9 • 9
dy/dt = 9/3
dy/dt = 3
(b) If dy/dt = 3 and x = 40, then
3 = 1/√(2•40 + 1) • dx/dt
3 = 1/√(80 + 1) • dx/dt
3 = 1/√81 • dx/dt
3 = 1/9 • dx/dt
dx/dt = 27
What is 26 out of 100 expressed as a ratio in simplified form?
26:100
..............................
26 percent in simplest form is the fraction 13/50. Since 'percent' means 'per hundred,' 26 percent would be equivalent to the fraction 26/100.
It took the Selby family hours round -trip to drive from their house to their beach house 154 miles away . Find their average speed . 5 1/2
Step-by-step explanation:
Distance = 154 miles .
Time = 5 ½ hrs .
We know ,
Speed = s / t
v = 154 mi/ 5.5 hrs = 28 mi / hr
Circle the multiplication problem that does not belong with the other three. explain 12×8=,22×4=,42×2=,33×3=
Answer: 12 x 8
Step-by-step explanation: The other three are not the basic multiplication facts from 0 - 12.
Someone please help...I hate IXL smh
Answer:
The slope is 10.
Step-by-step explanation:
It starts at 30, then 40, then 50 and so on so forth.
That being said the answer is 10.
Also, I hate IXL as well, but, I hope I helped.
Let me know if I got it correct.
- Abigail (:
y=x+30 is the equation of the line in slope intercept form.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The points through which the line passes is (0,30) and (20,50).
Slope = 50-30/20-0
=20/20
=1
Now let us find the y intercept.
Let us consider any point (0, 30).
30=1(0)+b
b=30
Hence, y=x+30 is the equation of the line in slope intercept form.
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Can some help please
Answer:
9×10^16
Step-by-step explanation:
Only if the power is the same, you can just add the first numbers
You just need to combine.
The rule (a) = a tells us we can just remove the parenthesis.
2*10^16 + 7*10^16
That would equal to 9 x 10^16 because when adding exponents, you keep them the same.
If f(x) = 4x + 3x2 + 1, then what is the remainder when f(x)
is divided by X -2?
Answer:
remainder = 21
Step-by-step explanation:
If f(x) is divided by (x - h) then the remainder is f(h)
Here f(x) is divided by (x - 2) with h = 2 , then remainder is
f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21
On the unit circle, where 0 less-than pi, when is tangent theta undefined?
Theta = pi and Theta = 2 pi
sine theta = cosine theta
Pi = StartFraction pi Over 2 EndFraction and Pi = StartFraction 3 pi Over 2 EndFraction
sin theta = StartFraction 1 Over cosine theta EndFraction
Answer:
Option 3
Step-by-step explanation:
As tanθ = sinθ/cosθ, tanθ will have a problem when cosθ goes to zero.
cosθ is at 0 when θ = π/2 and at 3π/2
Answer:
c
Step-by-step explanation:
c
Are the two ratios that make up a proportion
always, sometimes, or never equivalent
Answer:
Always
Step-by-step explanation:
In mathematics, when we say that two ratios form a proportion, we mean that the two ratios are equal.
Ex: Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
A proportion is two ratios which have been set equal to each other; a proportion is an equation that can be solved. When I say that a proportion is two ratios that are equal to each other, I mean this in the sense of two fractions being equal to each other. For instance, 105 equals 21 .
The two ratios sometimes that make up a proportion.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We know that;
Two ratios that make up a proportion when both ratios are equal to each other.
And, When two ratios are not equal then it cannot make a proportion.
Hence, The two ratios sometimes that make up a proportion.
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It takes 6 fruit pickers 18 hours to pick a field of fruit. How long would it take 8 fruit pickers to pick the same field.
Time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.
What is time?" Time is defined as the continues process which help us to measure the period/ length of occurring of event. It does not have any dimensions."
According to the question,
Time take by [tex]6[/tex] fruit pickers to pick the fruit from the field [tex]= 18[/tex]hours
As per the given situation we have,
Time taken by[tex]8[/tex] fruit pickers to pick the fruits of the same field
[tex]=\frac{(6)(18)}{8}[/tex]
[tex]=13.5[/tex]hours
Hence, time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.
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а (b) Two ovens are used to bake banana cakes and chocolate cakes. Each oven will ding according to its setting time. A banana cake takes 50 minutes to bake wbile a chocolate cake takes 45 minutes to bake.
(i) If each cake is put into the ovens at the same time, what is the time taken until both ovens ding simultaneously?
(ii) When the both ovens ding, how many banana cakes and chocolate cakes are baked?
Answer:
(b)(i) LCM of 45 and 50 = 450
Hence, it take 450 minutes until both ovens ding simultaneously.
(b)(ii) 450÷50=9 banana cakes baked
450÷45=10 chocolate cakes baked.
[(3 x 8) + 2?] + 6 - 2 Write out the steps Jayden will have to take in the yellow box? what are the steps?
Answer:
[(3*8)+2]+6-2
PEMDAS
There are parentheses so solve what is in them
3*8=24
[24+2]
26+6-2
Do the addition
32-2
30 is your answer
30 steps
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box.
°F
Answer: 33.5
Step-by-step explanation:
the answer is: 58.95
i took the test
Harley has 60 beads. There are 11 beads that are NOT round. The rest are round. How many round beads does Michelle have?
Help please
Answer:
49
Step-by-step explanation:
If there's 60 beads in total and 11 are round and the rest aren't all you have to do is subtract 11 from 60.
Like This: 60-11=49
To check your answer you can add them to see if you get 60. Like this: 11+49=60
I’ll mark you brainliest if you help me answer 1-9 (no bs)
Answer:
1. 0
2. undefined
3. 0
4. 0
5. undefined
6. undefined
7. undefined
8. 0
9. 0
Step-by-step explanation:
A farm lets you pick 3 pints of raspberries for $12.00. How many pints do you get per dollar?
Answer:
it would take 4 dollars to get one pint. if that's what your asking.
Step-by-step explanation:
divide 12 by 3 or multiply 3 by 4 which gives you 12. your answer is 4 if i understand correctly.
How many eggs are 5dozens
Answer:
60
Step-by-step explanation:
1 dozen=12 eggs. 12 ×5=60
Answer:
60
Step-by-step explanation:
dozen=12
5x12=60
HELP FAST, I'LL GIVE BRAINLIEST, 50 POINTS!!!
-2.25+0.4x=-2.8
Solve and show your steps in both fraction form, and decimal form
Answer:
Decimal = -1.375, Fraction = -11/8
Step-by-step explanation:
Decimal:
-2.25 + 0.4x = -2.8
0.4x = -0.55
x = -1.375
Fraction:
-9/4 + 2/5x = -14/5
-45/20 + 8/20x = -56/20
8/20x = -11/20
x = -11/8
Hopefully this helps!
Brainliest please?
As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation. a. causal b. zero c. positive d. negative
When the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases, this implies a negative correlation.
Negative correlation simply means the relationship between two variables where as one variable increases, the other variable will reduce.
Therefore, in a situation where the average daily temperature in New York City decreases and the number of persons who are observed wearing sweaters in the workplace increases, this illustrates a negative correlation.
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Glen invited 25 people to his birthday party.
20 people attended the party and 5 people did not attend.
What percent of the people whom Glen invited did not attend the party?
Answer:
20% of the invited people did not attend
Step-by-step explanation:
5 out of 25 people invited didn't attend Glen's party. That means the following:
[tex]\frac{5}{25}[/tex] people didn't come which simplifies to [tex]\frac{1}{5}[/tex]
Multiply [tex]\frac{1}{5}[/tex] by the giant one [tex]\frac{20}{20}[/tex] so the denominator is 100 which is the denominator used to find percentages.
You end up with [tex]\frac{20}{100}[/tex]
[tex]\frac{20}{100}[/tex] = 20%
20% is the percentage of the people whom Glen invited did not attend the party.
To find the percentage of people who did not attend the party, we will divide the number of people who did not attend (5) by the total number of people invited (25), and then multiply by 100.
Percentage = (Number of people not attended / Total number of people invited) × 100
Percentage = (5 / 25) × 100
Percentage = 20%
So, 20% of the people whom Glen invited did not attend the party.
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3^9 times 3^7 in exponential form
Answer:
3¹⁶
Step-by-step explanation:
While adding numbers with exponents, if the base of the numbers is same, then it will also be the same in the final answer and the exponents add
Hope this helps!
Answer:
You can just add the exponents power
9+7=16
So its 3^16 in exponential form
You can think of it like this.
for 3^9 its
3*3*3*3*3*3*3*3*3
And for 3^7 its
3*3*3*3*3*3*3
Now your multiplying them all together.
Really your jsut adding the value so in the end
3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
So its
3^16
in a supermarket, credit card purchases have an additional charge of 8% of the purchase made. If I bought 2 suitcases that cost s / .165.60 each and paid with a credit card, how much do I have to pay?
9514 1404 393
Answer:
357.70
Step-by-step explanation:
The final cost will be ...
(number of suitcases) × (cost per suitcase) × (1 +8%)
= 2(165.60)(1.08) = 357.70
In the coordinate plane, the points A(-8, -6), B(-9, 11), and C(3. - 7) are reflected over the y-axis to the points A, B, and C', respectively. What are the coordinates of A' B', and C'?
Answer:
A' = (8,-6)
B' = (9,11)
C' = (-3,-7)
Step-by-step explanation:
When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.
One year, professional sports players salaries averaged $1.6 million with a standard deviation of $0.9 million. Suppose a sample of 400 major league players was taken. Find the approximate probability that the average salary of the 400 players exceeded $1.1 million.
Answer:
1
Step-by-step explanation:
One year, the distribution of salaries for professional sports players had mean $1.6 million and standard deviation $0.8 million. Suppose a sample of 400 major league players was taken. Find the approximate probability that the average salary of the 400 players that year exceeded $1.1 million.
z = (x-μ)/σ/√n
where
x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Mean $1.6 million and Standard deviation $0.8 million.
z = (1100000- 1600000)/800000/√400
z = -500000/800000/20
z = -500000/40000
z = -12.5
Probability value from z score table is :
P(x ≤ Z) = P(x = 1100000) = P(z = 12.5)
= 0
P(x>Z) = 1 - P(x < Z)
= 1 - 0
= 1
The approximate probability that the average salary of the 400 players that year exceeded $1.1 million is 1
A roller coaster can take 209 passengers around the track in 11 minutes. How many passengers can the roller coaster take around the track per minute?
Hey I just wanted to know if anyone could help me out with this, I really would love the help.
Thank you :)
Answer:
3x-6 A.
Step-by-step explanation:
I would glady help anyone.
You welcome.
Roger’s office building has a $320,000 value, a 2 rating, and a B building classification. The contents in the building are valued at $105,000. Calculate his total annual premium.
Answer:
2,230
Step-by-step explanation:
help me please i beg you
A collection of 77 quarters and dimes is worth $12.50. How many quarters are in the collection? PLS HELP ILL GIVE YOU BRAINLEST ANSWER
Answer:
32
Step-by-step explanation:
77 quarters and dimes
q + d = 77
subtract q from both sides
d = 77 - q
---------------------------
A collection of quarters and dimes is worth $12.50 (1250 cents)
25q + 10d = 1250
substitute for d
25q + 10(77 - q) = 1250
distribute
25q + 770 - 10q = 1250
Combine like terms
15q + 770 = 1250
subtract 770 from both sides
15q = 480
divide both sides by 15
q = 32