Answer:
7,2
Step-by-step explanation:
How many different committees can be formed from 10 teachers and 37 students of the committee consist of three teachers and two students? how many ways can the committee of five members be selected?
Answer:
79,920 different ways
Step-by-step explanation:
Combination has to do with selection:
If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.
10C3 = 10!/(10-3)!3!
10C3 = 10!/7!3!
10C3 = 10*9*8*7!/7!3!
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 ways
Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;
37C2 = 37!/(37-2)!2!
37C2 = 37!/35!2!
37C2 = 37*36*35!/35!*2
37C2 = 37*36/2
37C2 = 37 * 18
37C2 = 666 ways
Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666
120 * 666 = 79,920 ways
What is the vertex of the graph of f(x) = |x – 13| + 11?
(–11, 13)
(–13, 11)
(11, 13)
(13, 11)
Answer:
(13, 11)
Step-by-step explanation:
I graphed the line and the vertex is at 13, 11
The vertex of the function f(x) = |x - 13| + 11 is (13,11)
How to determine the vertex?The function is given as:
f(x) = |x - 13| + 11
The above function is an absolute value function
An absolute value function is represented as:
f(x) = a|x – h| + k
Where, the vertex is (h,k)
So, we have:
(h,k) = (13,11)
Hence, the vertex of the function f(x) = |x - 13| + 11 is (13,11)
Read more about vertex at:
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choose all statements that show correct reasoning for finding 15 divided by 2/9
Answer:
The second and the last options.
Step-by-step explanation:
15/ 2/9 =67.5 Solve the original problem
15*2/9 =3.33333333333
15*9/2 =67.5
(15* 1/9) /2=0.833333333333333
15*9* 1/2 =67.5
Answer:
b and d
Step-by-step explanation:
3[ 9 - ( 6 - 3 ) ] - 10
Answer:
The answer is 8
Step-by-step explanation:
Pay attention bro
I need help with this ASAP!
Answer:
0,10
9,7
10,6
3,10
7,8
1,4
10,8
0,3
0,5
7,6
Step-by-step explanation:
raul drove 80 miles.this represent 50% of the entire trip what is the total number of miles on raul trip
Answer:
its 160 miles
what was the average speed of the winner in miles per hour? Explain
Answer:
my mom
OOOO
Step-by-step explanation:
huh 12x*5
I understand the question
Answer:
D. add all the y values to get 696 and then add all the x values and get 11.6 divide 696 by 11.6 and you get 60. You get the y-values by multiplying 60 by the x value, so D is the correct answer
Step-by-step explanation:
6
Your sister works as a tutor in the evenings.
Last school year she charged $25 per hour
for her services. After taking some
certification classes over the summer, she
increased her hourly charge by 40%. How
much does your sister now charge per hour
for her tutoring services?
Answer:
$35
Step-by-step explanation:
Pleaseeee
Covert the equations from standard form to slope intercept form 5x+3y=3 and 3x+5y=-25
Answer:
Y= -5/3x +1. And y= -3/5x -5
Step-by-step explanation:
For both equations subtract x term first. For first equation, you subtract 5x. Second equation subtract 3x. Next divide by coefficients of y. For first equation it is 3, for the second it is 5.
Solve forj.
-1/3=j/4-10/3
Answer:
j=12
Step-by-step explanation:
[tex]-\frac{1}{3}=\frac{j}{4}-\frac{10}{3}[/tex] is what we start with. first, do the inverse of -10/3. therefore, we add 10/3 to both sides.
[tex]\frac{9}{3}=\frac{j}{4}[/tex] is what we end up with. then simplify.
[tex]3=\frac{j}{4}[/tex] is what we have after simplifying. next we do the inverse of dividing by 4, so we multiply by 4.
[tex]12=j[/tex] is the final answer. or j=12. hope this helps!
what is the value of x?
Answer:c
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
[tex]x \degree = 180 \degree - (90 \degree + 42\degree) \\ \\ x \degree = 180 \degree - 132\degree\\ \\ x \degree = 48\degree \\ \\ x = 48[/tex]
[tex]1\frac{1}{9}*4\frac{1}{2}+(3\frac{1}{5}-\frac{1}{3} )[/tex]
Answer:
118/15 or 7.8666666666666666666666666666666666666666666666666666666666666666... decimal
Step-by-step explanation:
Simplify the following:
(1 + 1/9) (4 + 1/2) + 3 + 1/5 - 1/3
Put 1 + 1/9 over the common denominator 9. 1 + 1/9 = 9/9 + 1/9:
9/9 + 1/9 (4 + 1/2) + 3 + 1/5 - 1/3
9/9 + 1/9 = (9 + 1)/9:
(9 + 1)/9 (4 + 1/2) + 3 + 1/5 - 1/3
9 + 1 = 10:
10/9 (4 + 1/2) + 3 + 1/5 - 1/3
Put 4 + 1/2 over the common denominator 2. 4 + 1/2 = (2×4)/2 + 1/2:
10/9 (2×4)/2 + 1/2 + 3 + 1/5 - 1/3
2×4 = 8:
10/9 (8/2 + 1/2) + 3 + 1/5 - 1/3
8/2 + 1/2 = (8 + 1)/2:
10/9 (8 + 1)/2 + 3 + 1/5 - 1/3
8 + 1 = 9:
10/9×9/2 + 3 + 1/5 - 1/3
10/9×9/2 = (10×9)/(9×2):
(10×9)/(9×2) + 3 + 1/5 - 1/3
(10×9)/(9×2) = 9/9×10/2 = 10/2:
10/2 + 3 + 1/5 - 1/3
The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:
5 + 3 + 1/5 - 1/3
Put 5 + 3 + 1/5 - 1/3 over the common denominator 15. 5 + 3 + 1/5 - 1/3 = (15×5)/15 + (15×3)/15 + 3/15 - 5/15:
(15×5)/15 + (15×3)/15 + 3/15 - 5/15
15×5 = 75:
75/15 + (15×3)/15 + 3/15 - 5/15
15×3 = 45:
75/15 + 45/15 + 3/15 - 5/15
75/15 + 45/15 + 3/15 - 5/15 = (75 + 45 + 3 - 5)/15:
(75 + 45 + 3 - 5)/15
| 1 |
| 7 | 5
| 4 | 5
+ | | 3
1 | 2 | 3:
(123 - 5)/15
| | 1 | 13
| 1 | 2 | 3
- | | | 5
| 1 | 1 | 8:
Answer: 118/15
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]1 \frac{1}{9} \times 4 \frac{1}{2} + (3 \frac{1}{5} - \frac{1}{3} ) = \\ [/tex]
[tex] \frac{9 + 1}{9} \times \frac{8 + 1}{2} + ( \frac{15 + 1}{5} - \frac{1}{3} ) = \\ [/tex]
[tex] \frac{10}{9} \times \frac{9}{2} + ( \frac{16 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) = \\ [/tex]
[tex] \frac{9 \times 10}{9 \times 2} + ( \frac{48}{15} - \frac{5}{15} ) = \\ [/tex]
[tex] \frac{10}{2} +( \frac{48 - 5}{15} ) = \\ [/tex]
[tex]5 + ( \frac{43}{15} ) = \\ [/tex]
[tex] \frac{75}{15} + \frac{43}{15} = \frac{118}{15} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What type of angles are these?
Answer:
I believe that the answer is the 5th one (Adjacent angles).
Step-by-step explanation:
Adjacent angles are two angles that share a common side and vertex.
Complementary angles are mostly the same but their degrees add up to 90.
Supplementary angles are similar to complementary angles but add up to 180 degrees.
Vertical angles intersect though each other and are not perpendicular (which perpendicular angles also intersect, but all angles are 90 degrees and they all add up to 360 degrees).
Linear angles are like their name, they are linear. And, they usually intersect like vertical angles. Have a linear relationship between the angles.
The angles shown on the pictures are not any of the answers, except adjacent. They don't add up to 90 degrees, so they are not complementary. They share the same common side and vertex. These facts lead up to one answer which is adjacent. These angles are adjacent.
Hope this explanation helps! :)
what is 1 + 1?
i really dunno and i wanna know plus yall need points
Answer:
Step-by-step explanation:
2 period
Answer:
2
Step-by-step explanation:
thanks for the points
What is negative 3/2 divided by 11/6?
Answer: 0.81818181818
Step-by-step explanation:
Answer:
-9/11
Step-by-step explanation:
You have to find the reciprocal of the number you're dividing by. In your case the number you are dividing by is 11/6. Just flip 11/6 to get the reciprocal, and the multiply it by -3/2. 6/11 is the reciprocal of 11/6.
[tex]-\frac{3}{2} * \frac{6}{11} = -\frac{18}{22}[/tex]
Simplify by dividing by 2.
-9/11 is the answer.
HOPE THIS HELPS!!
What is the point slope form of a line with a slope of 5 and goes through the
point (1,5)? *
Answer:
y-5=5(x-1)
Step-by-step explanation:
Point slope form is: y-y1=m(x-x1)
y1 here is 5 and x1 is 1, because those are the points in the ordered pair given.
y-5=x-1 would be your base answer, but you need to account for the slope as well, which is m. So, y-5=5(x-1)
Hope this helped! :)
Answer: y+1=-5(x-2)
Step-by-step explanation:
Aubrey jarred 24 liters of jam after 4 days. How much jam did Aubrey jar if she spent 5 days making jam? Assume the relationship is directly proportional.
? liters
I NEED HELP PLZ I WILL GIVE MORE POINTS I NEED 20 MORE POINTS TO GET FROM A 64 TO AN 80
Please Guys can you help me
Answer:
125
Step-by-step explanation:
because is it's fith it would have gone up to 125 because there is 4 25 in 100
I need help plzzzzzzzzz
The foundation of the house is 13 m x 7 m if the builder increases each dimension by the same amount the area of the foundation will increase to 135 m² find the new dimensions
Answer:
New dimension:
Length = 15m
Width = 9m
Step-by-step explanation:
Length = 13m
Width = 7m
Area of a rectangle = length × width
New dimensions:
Length = (13 + x)m
Width = (7 + x)m
Where,
x = increase in each dimension
Area of a rectangle = length × width
(13 + x) × (7 + x) = 135
91 + 13x + 7x + x² = 135
91 + 20x + x² = 135
x² + 20x = 135 - 91
x² + 20x = 44
x² + 20x - 44 =0
Using factorization method to solve quadratic equation
x² - 2x + 22x - 44 = 0
x(x -2) + 22(x - 2) = 0
(x - 2) (x + 22) = 0
x = 2 , x = -22
The increase can not be a negative value
Therefore, the increase in the dimensions is 2 inches
New dimensions:
Length = (13 + x)m
= (13+2)m
= 15m
Width = (7 + x)m
= (7+2)m
= 9m
Can y'all help me please???
Hey! I was wondering if you could give me some help with math?
The amount a hardware store pays for buying nylon rope is represented by the equation y 5 0.12x, where y is the price it pays for x feet of rope. The amount the hardware store charges when selling the rope is represented by the graph.
The profit the store makes on the rope can be found by subtracting the amount it charges for the rope from the price it pays for the rope. If the store sells 80 feet of rope, how much profit does it make on that rope?
(Look at the link)
Please answer I really need help.
Answer:
Ayo its ( $6.40 )
Step-by-step explanation:
I did it for my do now once.
The profit would be $6.4 if the store sells 80 feet of rope the answer would be $6.4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The amount a hardware store pays for buying nylon rope is represented by the equation
y = 0.12x, where y is the price it pays for x feet of rope.
Plug x = 80 feet
y = 0.12(80)
y = $9.6
The equation for the graph:
y = 0.20x
Plug x = 80 feet
y = $16
The profit = 16 - 9.6 = $6.4
Thus, the profit would be $6.4 if the store sells 80 feet of rope the answer would be $6.4.
Learn more about the linear equation here:
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Peter is practicing how to apply the distributive property. In which example(s) did Peter NOT correctly apply the distributive property?
12(x-2)=12x-24,
3p-6=1/2(6p-12,
7(b+1)=7b+1
,-(w-2)=w+2, 8m+4=2(4m-2)
i need an answer by 12:25 TODAY
Answer:
-(w-2)=w+2, 8m+4=2(4m-2) Is NOT correct
Step-by-step explanation:
because..... when we multiply -(w-2) we get -w+2. Peter forgot to multiply the negative sign. 8m+4=2(4m-2) is not correct because 2 x 4m is 8m but 2 x 2 is 4 NOT 2 x -2. 2 x -2 is -4.
I hope I helped! ✨
A restaurant sold tacos and burritos. Tacos cost $2.00 and burritos cost $1.00. The restaurant sold 48 items for a total of $86.00. Write a system of equations.
Answer:
blank 1-2x+y1=86
Blank 2- x+y=48
Step-by-step explanation:
Which value is included in the situation set for the inequality graphed on the number line?
Answer:
-5 is the only one. -2 would be if the circle on the line was solid, but it's an open circle so the number it's on isn't included.
I'm On that test ATM and was wondering if you could give me the aswners to numbers 7 8 9
But the awnser to that question is -5
find the slope of the line passing through each pair of points. if the slope is undefined, write undefined. (5,9) and (5,-3)
Answer:
i believe undefined
Step-by-step explanation:
Slope
m= −3−9
5−5
-12/0
Damian has a mask collection of 500 masks. He keeps 64% of the masks on his wall. How many masks does he keep on his wall?
A book with an original price of $20 has a 15% discount. Which expression represents the new price of the book?
A. $20 × 0.15
B. $20 × 0.985
C. $20 × 1.15
D. $20 × 0.85
Answer:
A
Step-by-step explanation:
20.00 * .15
.15 = 15 out of 100 = 15%