Answer:
The number of different combinations of three students that are possible is 35.
Step-by-step explanation:
Given that three out of seven students in the cafeteria line are chosen to answer a survey question.
The number of different combinations of three students that are possible is given as:
7C3 (read as 7 Combination 3)
xCy (x Combination y) is defines as
x!/(x-y)!y!
Where x! is read as x - factorial or factorial-x, and is defined as
x(x-1)(x-2)(x-3)...2×1.
Now,
7C3 = 7!/(7 - 3)!3!
= 7!/4!3!
= (7×6×5×4×3×2×1)/(4×3×2×1)(3×2×1)
= (7×6×5)/(3×2×1)
= 7×5
= 35
Therefore, the number of different combinations of three students that are possible is 35.
There are 35 different combinations to chose 3 students from the 7 students
How to determine the number of combinations?The given parameters are:
Students, n = 7
Selected , r = 3
The number of different combinations is calculated using:
Combination = nCr
This gives
Combination = 7C3
Using the combination formula, we have:
Combination = 35
Hence, there are 35 different combinations to chose 3 students from the 7 students
Read more about combination at:
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I need help and I need explanation plz
Answer:
20 counters.
Step-by-step explanation:
50/200 or 1/4 of the counters have white paint on them.
That means you can expect 1/4 of the 80 counters pulled out to have white paint on them or 20 counters.
7x + 2 = -19 (b) 3x - 1/3 = 5 (c) 5x - 4 = 21 (d) -7x = 21 (e) 18 - 7x = -3 (f) 3(x + 4) = 21 (g) 3x - 9 = 5x - 3 (h) 4x + 6 - 7x + 9 = 18 (i) - 4/9 x = - 36 (j) -7/8x - 6 = 8 can any please elp me find the variables in the question
Answer:
Step-by-step explanation:
a)7x + 2 = -19 {subtract 2 from both sides}
7x + 2 - 2 = -19 - 2
7x = -21 {Divide both sides by 7}
7x/7 = -21/7
x = -3
b) 3x - 1/3 = 5
3x - 1/3 +1/3 = 5 + 1/3 {Add 1/3 to both sides}
3x =15/3 + 1/3
3x =16/3
3x/3 = 16/3*3 {Divide both sides by 3}
x =16/9
x =1 7/9
c) 5x - 4 = 21
5x -4 + 4 = 21 +4 {Add 4 to both sides}
5x = 25
5x/5 = 25/5 {Divide both sides by 5}
x = 5
d) -7x = 21 {Divide both sides by -7}
-7x/-7 = 21/-7
x = -3
e) 18 - 7x = -3
18 - 7x - 18 = -3 - 18 {Subtract 18 from both sides}
-7x = -21 {Divide both sides by -7}
-7x/-7 = -21/-7
x = 3
f) 3(x+4) = 21 {use distributive property}
3x + 3*4 = 21
3x + 12 = 21
3x + 12 - 12 = 21 - 12 {Subtract 12 from both sides}
3x = 9 {Divide both sides by 3}
3x/3 = 9/3
x = 3
g) 3x - 9 = 5x - 3 {add 9 to both sides}
3x - 9 + 9 = 5x - 3 + 9
3x = 5x + 6
3x - 5x = 5x + 6 - 5x { subtract 5x form both sides}
-2x = 6 {Divide both sides by -2}
-2x/-2 = 6/-2
x = -3
h) 4x + 6 - 7x + 9 = 18 {Add the like terms}
-3x + 15 = 18 {Subtract 15 from both sides}
-3x + 15 -15 = 18 - 15
-3x = 3 {Divide both sides by -3}
-3x/-3 = 3/-3
x = -1
[tex]i) \frac{-4}{9}x = -36[/tex]
Multiply both sides by 9
[tex]9*\frac{-4}{9}x =9*-36[/tex]
-4x = -324 {Divide both sides by -4}
-4x/-4 = -324/-4
x = -81
[tex]j)\frac{-7}{8}x - 6 = 8[/tex] {Add 6 to both sides}
[tex]\frac{-7}{8}x-6+6=8+6\\\\\frac{-7}{8}x=14\\[/tex] {Multiply both sides by 8}
[tex]\frac{-7}{8}x*8=14*8\\\\-7x=14*8\\[/tex] {Divide both sides by -7}
[tex]\frac{-7}{-7}x=\frac{14*8}{-7}[/tex]
x =-2*8
x = -16
Suppose that for some function g,
g(x+4)= 7x + 2. Find g(-3).
Help i don’t understand
Sin (7 pi/6) = ____?? Help
Answer:
-0.5 or -1/2 or A
Step-by-step explanation:
180 degrees is Pi radians. To find out what the measure is in the paranthesees, divide 180 by 6 and get 30. Now multiply it by 7 to get 210. The question is asking for the sin(210). The sin of 210 is -0.5
amanda has a board that is 7 feet long. how many 1/4 foot sections can she cut from this board
Answer:
28
Step-by-step explanation: You need to divide 7 by 1/4. Whenever you divide fractions you keep the first number as it is, change the sign to multiplication and write the reciprocal of the second fraction which is you have to flip the fraction. It is going to be 7 times 4/1. Which is 28/1 which is 28.
Ricky Major
3:05 AM (0 minutes ago)
to me
Fred is planning a fundraiser where he will collect $4.50 for every mile he runs. He will be running on a typical track, that has two straight lengths of 300 feet each, and two curved parts that are in the shape of semicircles with 200 foot diameters
He runs around the track exactly 15 times. To the nearest cent, how much money did he collect?
Answer:
Step-by-step explanation:
The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes
200 × 3.14 = 628 feet
Total distance around the track would be
300 + 300 + 628 = 1228 feet
5280 feet = 1 mile
1228 feet = 1228/5280 = 0.23 mile
If he runs around the track exactly 15 times, it means that the number of miles covered is
0.23 × 15 = 3.45 miles
Since he will collect $4.50 for every mile he runs, the amount of money that he collected is
4.5 × 3.45 = $15.5
asssssapppp please need it now
Solution,
Volume of the prism= l*b*h
=1 1/2*8*2 1/2
= 3/2*8*5/2
= 30 cubic units
Hope it helps
Good luck on your assignment
The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks? A. –270 cents per week B. –90 cents per week C. –87 cents per week D. –30 cents per week
Answer:
D
Step-by-step explanation:
In 3 weeks the stock decreased 60 + 10 + 20 = 90 cents so it decreased about 90 / 3 = 30 cents per week so it is D.
Answer:
The answer is D
Step-by-step explanation:
I took the test.
You are driving to visit a friend in another state who lives 440 miles away. You are driving 55 miles per hour and have already driven 275 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination. A. 55h + 275 = 440 ; h=3 B.55h - 275 = 440 ; h= 13 C.440h -275 = 55 ; h =0.75 D. 55h +275h = 440 ; h=1.3
Answer:
A. 55h + 275 = 440; h=3
Step-by-step explanation:
Since all answer choices have a different H= , finding how many hours you have left to drive will give you the right answer.
You've already driven 275 miles in your 440 mile trio so you can subtract the 275 to find out how much you will still need to drive.
440 - 275 = 165
You already know that you are driving at 55 mph so divide 165 by 55 and the answer is three.
Option A was the only answer choice which listed h=3 so that is the correct answer.
A gym’s membership in 2010 was 8,700. Now, it is 6,400. Which expression equals the percent of change?
Even the measure ofAngle six is 62 what is the measure of angle five
∠5 = 118
Step-by-step explanation:
If you look closely at this image, you can see that ∠6 and ∠5 together will be equal to line c.
A straight line is equal to 180 so if we do...
[tex]180-62[/tex]
= 118.
∠5 will be equal to 118.
If we go even further, because vertical angles are congruent...
∠7 = 62
∠8 = 118
Answer:
[tex] m \angle \: 6 = 118 \degree[/tex]
Step-by-step explanation:
[tex]m \angle \: 5 + m \angle \: 6 = 180 \degree.. (straight \: line \: \angle s) \\ \because \: m \angle \: 5 = 62 \degree \\ \therefore \: 62 \degree+ m \angle \: 6 = 180 \degree \\ \therefore \: m \angle \: 6 = 180 \degree - 62 \degree \\ \huge \red{ \boxed{\therefore \: m \angle \: 6 = 118 \degree}}[/tex]
The proceeds of a $7,500.00, 10 percent simple discounted note for 85 days is
Answer:
7325.34
Step-by-step explanation:
Some large boxes of small oranges contained 344 oranges each.how many oranges were in 4 boxes?
Answer:
1376
Step-by-step explanation: You have to multiply 344 and 4 which is 1376.
Answer:
Step-by-step explanation:
300x4=1200
4x44=176
1200+176=1376
please help quickly !
Answer:
16.5x = 465.3
Step-by-step explanation:
The distance traveled is equal to the gallons time the miles per gallon
465.3 = 16.5 * x where x is the miles per gallon
16.5x = 465.3
The student council at Clarksville High School is making T-shirts to sell for a fundraiser, at a price of $10 apiece. The costs, meanwhile, are $8 per shirt, plus a setup fee of $98. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?
Answer:
Costs are $490
49 shirts are sold
Step-by-step explanation:
98 + 8x = 10x
98 = 2x
49 = x
98 + 8(49) = $490 in costs
49 shirts sold
jordan has some music books. he will buy 9 new music books each year. he will have 52 music books in 5 years.
Rate of change per year= ___
Initial value = _____
Answer:
760 music books per each 5 years
Step-by-step explanation:
sheena is shocking a shelf with bags of flour that weigh 5 1/4 pounds each if sheena stocks the shelf with 13 bags of flour find the combined weight of 13 bags
Answer:
[tex]68\frac{1}{4}[/tex] pounds
Step-by-step explanation:
The combined weight of 13 bags is 13 multiplied by the weight of each bag.
The weight of each bag is [tex]5\frac{1}{4}[/tex] pounds. Therefore, the weight of 13 bags is:
[tex]5\frac{1}{4} * 13\\ \\= \frac{21}{4} * 13\\[/tex]
[tex]= 68\frac{1}{4}[/tex] pounds
Consider the equation y=-x^2-7x+12
Answer:
y = (x + 4)(x + 3)
Step-by-step explanation:
y = x ^2 + 7x + 12
The two numbers must add up to 7 and has a product of 12, and since the equation is all positive, then the two numbers are positive too.
So y = (x + 4)(x + 3) is the answer.
Check:
y = (x + 4)(x + 3)
y = x(x + 3) + 4(x + 3) distributive property
y = x^2 + 3x + 4x + 12
y = x^2 + 7x + 12
Which expression has a value of
8
- ?
15
Answer:
15
Step-by-step explanation:
If f(x) = 2(x)2 + 5v(x+2), complete the following statement (round your answer to the nearest hundredth
Answer:
2
Step-by-step explanation:
1+1
Convert 11.7 cm3 into ml
Answer:
11.7
Step-by-step explanation:
1 Cubic centimeter (cm3) is equal to 1 milliliter (mL). 1 Liter is equal to 1 cubic decimeter and there are 1000 cubic centimeters in a cubic decimeter, that makes 1 cubic centimeter equals to 1 milliliter.
If f(x)= 3x^2-2x+4.and g(x)= 5x^2 +6x -8find(f-g)(x)
Answer:
-2x^2-8x+12
Step-by-step explanation:
f(x)= 3x^2-2x+4
g(x)= 5x^2 +6x -8
(f-g)(x) = 3x^2-2x+4-(5x^2 +6x -8)
Distribute the minus sign
(f-g)(x) = 3x^2-2x+4-5x^2 -6x +8
Combine like terms
-2x^2-8x+12
The school board has approved the addition of a new sports team at your school.
The district ordered 30 team uniforms and received a bill for $2,992.50. The total included a 5% discount.
a. The school needs to place another order for two more uniforms. The company said the discount will not
apply because the discount only applies to orders of $1,000 or more. How much will the two uniforms
cost?
Answer:
210
Step-by-step explanation:
1: Part/whole=%/100
2: 100-5=95
3: 3150/30=$105 uniforms.
Answer: $210
Hope this helps.
1 3/4 x 4 1/6 whats answer
Answer:
7 7/24
Step-by-step explanation:
first put the wholes inside the fraction:
[tex]1 \frac34 = \frac44 + \frac34 = \frac74[/tex]
[tex]4 \frac16 = \frac{24}{6} + \frac16 = \frac{25}{6}[/tex]
Then multiply numerator times numerator, denominator times denominator and take out wholes again:
[tex]\frac74 \times \frac{25}{6} = \frac{7 \times 25}{4 \times 6} = \frac{175}{24} = 7 \frac{7}{24}[/tex]
Ok so I’m in high school and I forgot everything I learned in 6-7th grade so what is 14/2 + 12/6 I got 54/6 but I don’t know what to do to get it into simplest form btw I’m very dumb so please explain it like you would to a 4yr old
Answer:9
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1. (14/2 x 3/3)+(12/6 x 1/1). Complete the multiplication and the equation becomes 42/6+12/6. The two fractions now have like denominators so you can add the numerators. 42+12/6=54/6. Divide 54 by 6 and get 9. hope this helps :)
Select the correct answer.
What is the missing value in the table of equivalent ratios?
1 | 12
2 24
336
448
5 ?
Ο Α.
54
OB
58
Ос.
60
OD
64
O E 68
Answer:I think 60
Step-by-step explanation:
Answer:
60 i am positive
Step-by-step explanation:
Move values into the boxes to create an equation that represents "8 times h 24."
h
8
16
24
32
Answer:
0+8
Step-by-step explanation:
add 8 each time
it is 0 because in times table if you have 8, 16 and 24 then you don't need to add it on or take away from it, so it will be 0.
I hope that helped.
PLEASE SOMEONE HELP ME I NEED SOMEONES HELP ASAP!!!!!!!!PLEASE IM BEGGING YOU SO MUCH PLEASE!!!!!
Suppose a family pays $29.99 for dinner . They leave a 15% tip. Find both the tip and the total price of the meal. Round your answers to the nearest cent.
Show your work below:
Tip = $15.20
Total = $45.20
Tip = $9.40
Total = $24.56
Tip = $1.10
Total = $31.10
Tip = $4.50
Total = $34.50
Answer:
Tip = $4.50
Total = $34.50
Step-by-step explanation:
Multiply 29.99 by .15 to find the tip.
Then add the tip to the original number.
Solve for x
6(x - 1) = 9(x + 2)
O x= -8
O x= -3
0 x = 3
0 x = 8
Answer:
[tex]A.x=-8[/tex]
Step-by-step explanation:
This is super confusing! Can someone plz explain? I'm giving more points!
Answer:
a ) Increased by 100 %, b ) Increased by 50 %, c ) Decreased by 33 and 1/3 %, d ) Decrease by 50 %, e ) Increased by 200 %, f ) 66 and 2 / 3 %
Step-by-step explanation:
See steps below;
[tex]a ) Percent Increase from 1 - 2 ;\\starting value - 1, end value - 2 ;\\2 - 1 = Increase by 1,\\1 / 1 - Solution; Increase by 100 percent[/tex]
[tex]b ) Percent Increase from 2 - 3 ;\\starting value - 2, end value - 3,\\3 - 2 = Increase by 1,\\1 / 2 - Solution; Increase by 50 percent[/tex]
[tex]c ) Percent Decrease from 3 - 2 ;\\starting value - 3, end value - 2,\\3 - 2 = Increase by 1,\\1 / 3 - Solution; Decrease by 33 and 1 / 3 percent[/tex]
[tex]d ) Percent Decrease from 2 - 1 ;\\starting value - 2, end value - 1,\\2 - 1 = Decrease by 1,\\1 / 2 - Solution ; Decrease by 50 percent[/tex]
[tex]e ) Percent Increase from 1 - 3 ;\\starting value - 1 , end value - 3,\\3 - 1 = Increase by 2,\\2 / 1 - Solution ; Increase by 200 percent[/tex]
[tex]f ) Percent Decrease from 3 - 1;\\starting value - 3, end value - 1,\\3 - 1 = Decrease by 2,\\2 / 3 - Solution ; Decrease by 66 and 2 / 3 percent[/tex]
Solution; a ) Increased by 100 %, b ) Increased by 50 %, c ) Decreased by 33 and 1/3 %, d ) Decrease by 50 %, e ) Increased by 200 %, f ) Decrease by 66 and 2 / 3 %
