~combination
[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]
[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]
[tex] \large \sf = \frac{362880}{720.6} [/tex]
[tex] \large \sf = \frac{362880}{4320} [/tex]
[tex] \large \sf = \boxed{84}\: ✓[/tex]
~ nice to help you ^^
Amir invests £2000 into an savings account.
Amir gets 4.75% per year compound interest.
Work out how much Amir will have in the account after 9 years.
Answer:
£30000
Step-by-step explanation:
I used a couculator
A stone is thrown vertically upwards.its height , y ,meter from the ground after x seconds is given by the formulae x=17y-2y².find the time,in seconds,when the stone is at the height of 8 meter from the ground.
Time can't be negative so we need to get absolute value of x .
00
A student ran a distance of 33 miles each day for 5 days. Then the student ran a distance of 4 miles each day
for the next 5 days.
What was the total distance in miles the student ran during these 10 days?
10days = ... miles
= 5days × 2
= 33 × 2
= 66miles
Rachel has 16 chocolate bars . Tracy takes 4 and asks for the remaining quarter. what would she end up with?
Answer:
Rachel ends up with 9 chocolate bars.
Step-by-step explanation:
16 - 4 = 12
quater is 1/4, so
12 / 4 = 3
12 - 3 = 9
Answer:
9 chocolate bars
Step-by-step explanation:
Rachel had 16 chocolate bars and Tracy takes (minus) 4.Now she has 12.
Tracy asks for the remaining (12) quarter. A quarter is 1/4, and a quarter of 12 is 3.
That leaves Rachel with 9, because 12 - 3 is 9.
A bike that weighs 22 pounds and 3 ounces weighs a total of ____ounces.
Answer:
355 ounces
Step-by-step explanation:
Okay! We're going to have to use some conversion factors for this problem, since we're working with two different units (pounds and ounces). We know that there are 16 ounces in a pound - that's our first conversion factor. We can use it to write up a little equation to help us:
[tex]\frac{22lbs}{1} *\frac{16oz}{1lb} + 3 = x[/tex]
"x" is the total amount of ounces. Does everything in that equation make sense? The first multiplication part tells us how many ounces are in 22 pounds, and the second part (+ 3) adds the 3 ounces that were there from the beginning. Now, it's time to calculate.
[tex]\frac{22bs}{1} *\frac{16oz}{1lb} + 3 = x\\[/tex]
[tex]\frac{352oz}{1} + 3 = x[/tex]
[tex]352+3 = x[/tex]
[tex]x=355[/tex]
So, there are 355 ounces in a bike that weighs 22 pounds and 3 ounces. Hopefully that's helpful! :)
which one is correct and if you chose a,b,c,d explain why
a
b
c
d
Answer:
A. √150
Step-by-step explanation:
12² = 144
13² = 169
The only value of any of the options falling between 12 and 13 is √150
NO LINKS
2. How many solutions does this system have?
2x+y=3
6x = 9 - 3y
O one
Onone
O infinite
Otwo
Answer:
D - Two.
Step-by-step explanation:I took the test and this was the correct answer.
Solve for b
Is it square root 39?
Or
Square root 89?
Answer:39
Step-by-step explanation:
Answer:
[tex]\sqrt{39}[/tex]
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]b^2+5^2=8^2[/tex]
We can rearrange this equation to find b:
[tex]b^2=8^2-5^2\\\\b^2=64-25=39\\\\\sqrt{b^2}=\sqrt{39}\\\\b=\sqrt{39}[/tex]
Find the least common multiple of: 2v^2y^7 and 11v^4y^8x^3
Answer:
2v6y719x3
Step-by-step explanation:
(1): "x3" was replaced by "x^3". 2 more similar replacement(s).
STEP 1
Equation at the end of step 1
(((2v2 • y711) • v4) • y8) • x3
STEP 2
Final result :
2v6y719x3
[tex]\sqrt{5}+\sqrt{5}=?[/tex]
[tex]\sqrt 5 + \sqrt 5 \\\\=\sqrt 5(1+1) \\\\= 2 \sqrt 5[/tex]
2x-y=5
2x-5y=-31
elimation method
Answer:
y=9, x=7
Step-by-step explanation:
2x-y=5 --> equation 1
2x-5y=-31 --> equation 2
change signs of equation 1
-2x+y=-5
solving method
-2x+y=-5 (cut -2x and 2x because -2x+2x =0)
2x-5y=-31 (likewise +y-5y and -5-31)
-4y= -36 (since -4 is multiplying on right side it will divide)
y= -36/-4 (cut negative with negative and simplify equation)
y= 9
put value of y in equation 1
2x-y=5
2x-9=5
2x= 14
x=14/2
x=7
How do you show that x=6 is an true equation ?
x = 6 can be represented on the number line and hence it is real
Step-by-step explanation:
by simply plugging in 6 for x thus
x=6 becomes 6=6 which is true
24 pens in 2 boxes How many pens in 1 box?__________
find unit rate
Heyyy , can you help me please and thank you
Answer:
18
Step-by-step explanation:
Total=70.
Last week she posted= 2/5 of 70= She posted 28 last week
So, 42 left
then, she posted 4/7 of remaining (42)
4/7 of 42 is 24
42-24= 18
She still needs to post 18 flyers
HOPE THIS HELPS!
Answer:
OK, so she started with 70 fliers.
Last week, she posted 2/5 of them. 2/5 of 70 is equal to 28, so she has 28 fliers less than she started with. 70-28=42.
This week, she posted 4/7 of the remaining fliers (42). 4/7 of 42 is equal to 24. So, she has 24 less than 42, so 42-24=18.
She still needs to post 18 fliers.
Hope this helps!!!
What is (f•g)(x)?
f(x) = 4x + 6
g(x) = -5x
(f.g)(x) = (4x + 6)(-5x) = -20x^2 -30x
ok done. Thank to me :>
A line passes through the point (0, -3/2) and has a slope of 1/2. what is the eqaution of the line?
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
We apply our knowledge of slope intercept form:
y = 1/2 x + b
therefore, we plug in the values for x and y getting
-3/2 = 0 + b
so b = -3/2, plug it back into the equation getting
y = 1/2x - 3/2
solve pls brainliest
Answer:
192
Step-by-step explanation:
Volume of a rectangular prism = length times width times height.
For the following prism, length = 4, width = 6 and height = 8
So volume would equal 4 * 6 * 8 = 192ft²
how many 3/5s are in 9/10
Answer:they are only 2
Step-by-step explanation:
3/5 + 3/5 = 6/10 so you need a 6/5 + 3/5 and it will equal 9/10
Answer:
1
Step-by-step explanation:
3/5's = 6/10 and 6/10 plus 6/10 would be 12/10 so only 1 3/5's can fit.
Which number sentence is true?
A. -4.25 > -2 4/5
B. 6/11 > 6.11
C. 7/8 > -0.78
D. 14/8 > 8.1
Answer: C. Is true 7/8>-0.78
what is equivalent to |14-20|
Answer:
7/10
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (0, 6) and (3, -3)
Answer:
y=-3x+6
Step-by-step explanation:
Using slope formula
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex](0, 6) x1, y1(3, -3) x2, y2[tex]\frac{-3-6 }{3-0}=\frac{-9}{3}=-3[/tex]You earn
$10 per hour working as a manager at a grocery store.
You are required to work at the grocery store at least
8 hours per week. You also teach music lessons for
$15 per hour. You need to earn at least $120 per week,
$
do not want to work more than 20 hours
but you
per week.
a. Write and graph a system of linear inequalities
that represents the situation.
b. Identify and interpret a solution of the system.
c. Use the graph to determine whether you can work
8 hours at the grocery store and teach 1 hour of
music lessons.
We want to get a system of inequalities that models the given situation.
The solutions are:
a) The system is:
x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0And the graph can be seen at the end.
b) A solution can be x = 12 and y = 2
c) x = 8 and y = 1 is not a solution.
First, we need to define two variables:
x = number of hours working as a manager.y = number of hours teaching lessons.a) First, we know that you must at least 8 hours per week in the grocery store, then:
x ≥ 8
We know that you need to earn at least $120 per week, then we have the inequality:
x*$10 + y*$15 ≥ $120
And you don't want to work more than 20 hours per week, this gives:
x + y ≤ 20.
We also add the trivial restriction:
y ≥ 0
Then the system is:
x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0The graph can be seen at the end.
b) The solution region is the interception of the four shaded regions (is the dark blue part).
A solution in that region can be:
x = 12
y = 2
c) The point x = 8, y = 1 is graphed, you can see that it is outside the solution region, thus, this is not a solution.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/2065712
Please help and please no links..thanks ¯\_(ツ)_/¯
Answer:
[tex]\frac{c}{4} +5 = 7[/tex]
Step-by-step explanation:
The wording, "the quotient of a number and 4," can be displayed as c/4. C would be our variable for the number because the question asks specifically for it. 5 more would demonstrate that we're adding 5 more to our equation. Which would result in c/4 + 5. However, since it equals 7, just add that portion to create the following equation:
[tex]\frac{c}{4} +5 = 7[/tex]
Answer:
c / 4 + 5 = 7
Hope this helps!
Step-by-step explanation:
5 + ( more ) than the quotient ( division ) of a number and ( + ) 4 is ( = ) 7
5 + c / 4 = 7
c / 4 + 5 = 7
0(-7) helppppppppppppppppppppp
Answer:
0
Step-by-step explanation:
anything multuplied by 0 is 0
Please help me please help mee
Convert .45 to a fraction help for brainlist! with explaintion
Answer: 9/20
Step-by-step explanation:
Answer:
9/20
Explanation:
0.45
Since there are two numbers after the decimal point, the denominator will be 100 (two zeroes). So, 45/100.
Simplify the fraction. Divide both the numerator and the denominator by 5.
9/20
Hope this helps! :)
Suppose you want a guitar. It costs $756. About how much would you have to save every month for 6 months to be able to buy the guitar? i assume $126?
Answer:
$126 is correct
Step-by-step explanation:
Answer:
$126/month
Step-by-step explanation:
Divide the total cost ($756) by 6 (months). We get $126/month. Six months' payment (6 times $126) will produce a total savings of $756.
A box of baseballs costs $66. 12. Which equation represents the cost, c, of n boxes?
Answer:
C
Step-by-step explanation:
cost=price of one box (number of boxes)
:))
HELP ASAP!!! What is the measurement of where it says 41? I’m not sure if it’s in Feet or meters
Answer:
inches
Step-by-step explanation:
pretty sure that says 41 inches because at 36 it says 3 feet and 12 inches = 1 feet, so 36 inches equal 3 feet. The measurement would be inches.
The lines represented by the equations 2y - 3x = 14 and y - 3/2x= 7 are
Answer:
00000
Step-by-step explanation: