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
Which solution set is graphed on the number line?
4 -3 -2 -1
0 1
2
3
4
0x21
Ox>1
Ox<1
O XS1
In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of triangle ABD at vertex A. BC=4.2 in. and CD=9.6 in..
What is the length of AC¯¯¯¯¯?
Answer:
AC = 6.35 in.
Step-by-step explanation:
BC times CD
4.2(9.6) = 40.32
The square root of 40.32 = 6.3498031465550174172038778087342
Round your answer to the nearest hundredth
AC = 6.35 in.
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
Step-by-step explanation:
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.
Their rates is calculated as:
For Lin
Lin read the first 54 pages from a 270-page book in the first 3 days.
54 pages = 3 days
270 pages = x
Cross Multiply
54x = 270 × 3
x = 270 × 3/54
x = 15 days
For Diego
Diego read the first 100 pages from a 320-page book in the first 4 days.
100 pages = 4 days
320 pages = x days
Cross Multiply
100x = 320 × 4
x = 320 × 4/100
x = 12.8 days
For Elena
Elena read the first 160 pages from a 480-page book in the first 5 days.
160 pages = 5 days
480 pages = x days
Cross Multiply
160x = 480 × 5
x = 480 × 5/160
x = 15 days
If they continue to read every day at these rates, who will finish first, second, and third?
Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
!PLEASE HELP!
Eight times the square of a negative
integer plus 24 times the negative
integer equals 80. Find the unknown
negative integer.
Answer:
-2
Step-by-step explanation:
8(-a)^2+24*-a=80
or,8a^2-24a=80
or,8a^2-24a-80=0
or,8(a^2-3a-10)=0
or,a^2-3a-10=0
or,a^2-(5-2)a-10=0
or,a^2-5a+2a-10=0
or,a(a-5)+2(a-5)=0
or,(a-5)(a+2)=0
either,
a-5=0
•°•a=5
or,
a+2=0
•°•a=-2(negative integer)
The value of the unknown integer is -2.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given data eight times the square of a negative integer plus 24 times the negative integer equals 80 in the form of the mathematical expression will be written as:-
8(-a)²+24-a=80
8a²-24a=80
8a²-24a-80=0
8(a²-3a-10)=0
a²-3a-10=0
a²-(5-2)a-10=0
a²-5a+2a-10=0
a(a-5)+2(a-5)=0
(a-5)(a+2)=0
a-5=0
a=5 or, a+2=0 a=-2
Therefore, the value of the unknown integer is -2.
To know more about an expression follow
brainly.com/question/723406
#SPJ5
Please help easy ten points.
Answer:
Yes
Step-by-step explanation:
i believe they are all yes.
The sum of two numbers is 153. The larger number is twice the smaller number. Find both numbers.
Answer:
The 2 numbers are
102 and 51
Step-by-step explanation:
A + B = 153
A=2B
So 2B+B=153
3B=153
B=153/3=51
A=51*2=102
Please hurry and thanks in advance
Answer:
64 bags
Step-by-step explanation:
number of bags sold by Takis Scorpion BBQ = x
Number of bags sold by Takis Valcano Quesco = 3x - 6
the total number of bags = x + ( 3x - 6 )
x + 3x - 6 = 250
therefore, 4x - 6 = 250
4x = 250 + 6
4x = 256
dividing through by 4
x = 64
what is the answer to the question?
Answer:
17
Step-by-step explanation:
We have two congruent triangles here. Thus, b must be 17.
Answer:
17
Step-by-step explanation:
sides r congruent
A recipe requires 5/6 cup of raisins for one batch of muffins. How many batches can be made with three 1/3 cup of raisins
Answer:
4 batches
Step-by-step explanation:
plz help me with mathhthhtht
Answer:
ok
Step-by-step explanation:
Answer:
1. 17
2. 4
3. 3
4. 9
Step-by-step explanation:
Write an equation, please help
Answer:
y = -6/5x + 2
Answer:
5\6x-2
Step-by-step explanation:
Y=(10-6x)\5
Y= 2-6\5x
Slope of line 1 = -6\5
Slope of line 2*(slope of line 1 )= -1
Slope of line 2 *-6\5=-1
Slopes of line 2 = 5\6
(X-x0)m = y-y0
(X-6)*5\6=y-3
5\6x -5 = y-3
Y= 5\6x -2
A restaurant customer left $ as a tip. The tax was and the tip was % of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Complete question :
A restaurant customer left $0.90 as a tip. The tax was 8% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
The tax percentage
9.9
Step-by-step explanation:
Guven that :
Amount of tip left = 0.90
Tip left = 10% of after tax cost
Tax % = 8%
If tip left = 10% of after tax cost; then ;
If after tax cost = x
10% of x = 0.90
0.1x = 0.9
Hence the percentage tax isn't needed :
To obtain the total bill:
Let total bill = y
y = after tax cost and tip
Hence,
y = x + tip
y = x + 0.9
From : 0.1x = 0.9 ; x = 0.9/0.1 = 9
Hence,
Total bill:
y = 9 + 0.9
y = 9.9
Lorena calculated the slope of the linear function that is represented by the table of values as shown.
What did she do wrong?
Answer:
Added wrong -2--4=6
Step-by-step explanation:
because when a nagtive and nagative add up it ends up postive
Answer:
the answer is C i took the test
Step-by-step explanation:
She made a mistake when she subtracted x 1 from x 2
What is 360 divided by 12 explain your answer
Answer:
360 divided by 12 is 30 because 12 times 30 is 360
Step-by-step explanation:
Answer:
the answer most likely might be =30
Step-by-step explanation:
360÷12=30
I NEED HELP WITH 2 and 3 HELPPPPPPP
find the slope from the graph. (3,-1) (0,-3)
What is the price of the item after the discount?
Answer:
$1.44
Step-by-step explanation:
10. In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes
were sliding toward each other and crashed. The crash caused both boxes to change speed. Based
on the information in the diagram, which statement is correct? In your answer, explain what the
forces were like and why the boxes changed speed (5pts)
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2.
Answer:
The Box 1 and Box 2 are the same mass.
Explanation:
It caused both to change speed because they have both the same mass.
Jasmine earns $13 per hour tutoring students after school. If Jasmine tutored for 5 hours this month, how much money did she earn this month?
Answer:65
Step-by-step explanation:
13x5=65
Find the percent of markup for $13.50 marked up to $25. Round to the nearest percent.
A.
46%
B.
85%
C.
11.5%
D.
72.5%
Answer:
B
Step-by-step explanation:
Answer:
Just took the test the answer is 85%
please help i need this done by today
Answer:
B
Step-by-step explanation:
How many packages of gum can you buy with $18 if one package cost $2?
Which equation best represents this word problem?
Group of answer choices
18 x 2 = p
p - 18 = 2
p + 2 = 18
2p = 18
Answer:
2p = 18
Step-by-step explanation:
please help me with this question
Answer:
corresponding
Step-by-step explanation:
2 is not in the interior
The only numbers in the interior is 4, 11, 6, and 13
So crossing those two options we are left with corresponding
Can someone help me with this one
please answer the second question what does it mean and is it realistic
Answer:
The more staff there is, the lower the wait time. Yes, this is realistic.
Step-by-step explanation:
REALLY URGENT!!!!! ANSWER FAST!!!!
Answer:
if am sure it's A
Step-by-step explanation:
through: (2, 5), slope = 1/2 *50 POINTS!*
Answer:
y−5=−2(x−2)
Step-by-step explanation:
Point slope form of a line is the standard
An architect designs two similar triangular patios. The first patio has angle measures of (x − 10)°, (y + 25)°, and 60°. The second patio has angle measures of (x – 5)°, 55°, and 65°. Find the values of x and y.
Answer:x=65 y=40
Step-by-step explanation:
1) solve for x in the second triangle by adding each degree together and setting it equal to 180 (every triangle equals 180°)
2) x should equal 65
3) do the same for the first triangle except plug in 65 (since we know it equals x) and solve for y.
What is the y-intercept of 2y=-3x+18
Answer:
18
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
Please help
2) A surprisingly spherical decepticon is rolled up a constant
slope with an initial velocity of 9.3 m/s. What is the
acceleration of the decepticon if its displacement is 1.9 m
up the slope after 2.7 s?
Answer:
go to my account and answer the latest question and say lol u dont
have to answer it tho just put lol for 25 free points.