Answer:
a) 840 different ways
b) 35 different choices of books
Step-by-step explanation:
We know that our literature class will read a total of 4 novels this year.
All novels chosen by class vote from a list of 7 possible books offered by the teacher.
Wherever we have an experiment [tex]''N''[/tex] which is formed by sub - experiments that can occurred in [tex]m_{1},m_{2},...,m_{n}[/tex] ways, the total number of ways in which the whole experiment [tex]''N''[/tex] can be developed is :
[tex]m_{1}[/tex] x [tex]m_{2}[/tex] x ... x [tex]m_{n}[/tex]
Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :
[tex](7).(6).(5).(4)=840[/tex] (I)
Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.
Continuing with the idea, we deduce the equation (I).
For item b) :
Wherever we have [tex]''n''[/tex] different objects and we want to find the ways that we can choose [tex]''r''[/tex] objects from that group, we need to use the combinatorial number.
We define the combinatorial number as :
[tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]
Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :
[tex]7C4=\frac{7!}{4!(7-4)!}=35[/tex]
a) 840 different ways
b) 35 different choices of books
4. Celia is making biscuits. Her recipe calls for 1/3 cup of flour, but
she only has a 1/2 cup measure. About how full should she fill the
measuring cup?
Answer:
I think it is 5/6
Step-by-step explanation:
She should do 5/6 of the way because 1/3x1/2=5/6
Answer:
16.5% full
Step-by-step explanation:
1/2 in decimal is 0.5
1/3 in decimal is 0.33
0.5x0.33=0.165
0.165 as a percentage is 16.5%
Is 7.165 a rational number?
Answer:
yes it is rational
Unit 2 lesson 5 practice problem 3 in math workbook
You get 15 points if you answer this.
Answer:
what do you need help with???
The points (-1, r) and (2, 1) lie on a line with slope 2. Find the missing coordinate r
Please help!!!
Answer:
r = -5
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
(-1, r)
(2, 1)
r - 1/-1 - 2 = r - 1/-3
Slope = 2
-3 x 2 = -6
-6 -(-1) = -5
-5 - 1 = -6
-6/-3 = 2
So:
r = -5
Hope this helps!
9514 1404 393
Answer:
r = -5
Step-by-step explanation:
The x-coordinate of the partially-defined point is 3 units less than the x-coordinate of the given point. The slope of 2 tells you the y-coordinate of the partial point (r) will be 2·3 = 6 units less than the y-coordinate of the given point. That is ...
r = 1 - 2·3
r = -5
__
You are given the slope of the line and a point on it, so you can write the point-slope equation of the line:
y -y1 = m(x -x1) . . . . . . . line with slope m through point (x1, y1).
For the given point and slope, this is ...
y -1 = 2(x -2)
For an x-value of -1, the corresponding y-value will be ...
r = 2(-1-2) +1 = -6 +1
r = -5
Tarek will spend at most $31 on gifts. So far, he has spent $16. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.
Answer:
c<$15
Step-by-step explanation:
$31-$16>c
$15>c
c<$15
(04.01 LC)
The coordinates of point A on a grid are (-2,-4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are
- 4). (5 points)
Answer:
(2, -4) would be point b.
Step-by-step explanation:
This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis
Answer:
it would be (2,-4)
Step-by-step explanation:
correct me if I'm wrong
Stay Safe
Stay Strong
Stay Awesome
Question 6 (1 point)
Erica is collecting cans for a school fundraiser. She collects 5 the first day, 10 the
second day, and 15 the third day. If the pattern continues, how many cans will she
collect on the tenth day?
50 cans
15 cans
100 cans
065 cans
Quiz 1
Rewrite the fraction as a decimal.
13
10
Report a pro
Answer:
1.3
Step-by-step explanation:
Just divide the top by the bottom.
Answer:
1.3
Step-by-step explanation:
If we divide 13 by 10, our answer is 1.3. This makes sense since the proper fraction would be 1 & 3/10 (one and three-tenths.) Three-tenths is equal to 30% or 0.3.
Orville was out bicycling with his brother Wilbur. Orville stopped to fix a flat tire. Wilbur continued at 10 mph. After 30 minutes, Orville had fixed the flat, and he rode off at 12 mph in pursuit of Wilbur. In how many hours did Orville catch up to Wilbur?
Answer:
Orville caught up with Wilbur in 2.5 hours
Step-by-step explanation:
Here, we want to calculate the number of hours it took for Orville to catch up to Wilbur
Mathematically,
distance = speed * time
The distance traveled before Orville restarted his own journey is ;
distance = 10 mph * 0.5 = 5 miles
(30 minutes is 30/60= 0.5 hours)
So this means that Wilbur was now 5 miles ahead of Orville
Now, let the number of hours it took to
catch up Wilbur be h
In h hours,
Wilbur would have traveled 5 miles + 10h
In this same time, Orville would have traveled
12 * h = 12h
So the distance traveled by the two will be equal at this h hour
5 + 10h = 12h
12h-10h = 5
2h = 5
h = 5/2
h = 2.5 hours
How many zeros does the function have?
f(x) = x^3 – 5x^2 – 8x + 48
Answer:
x^(3)+5x^(2)-8x-48=0
PLEASE HURRY!! Will give brainly
Find the slope and y intercept for y = 3x - 2.
WILL GET 15 POINTS AND MARKED BRAINLINESt
1. Create your own expression that contains at least one operation and one variable.
example: 5x
2. Describe a situation that your expression can model.
example: x represents the price of a pound of grapes, in dollars. Cheryl buys 5 pounds of grapes. The cost of Cheryl's grapes can be modeled by 5x
Answer:
4x+5
Step-by-step explanation:
4x represents making 4 dollars per hour and 5 represent the amount of money you began with
Answer:
1) 2x
2) x represent how many candy a person have
2 is the amount of person
The total candy canbe modeled by 2x
Step-by-step explanation:
Choose Yes or No to tell if the number 103 will make each equation true. 6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equations :
6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Will the number 103 will make each true?
601 / 6.01= 100 (No, not true)
305 / 0.305 = 1000 (No, not true)
540 / 0.54 = 100 (No, not true)
970 / 0.097 = 10000 (No, not true)
Hence, multiplying each of the equation above by 103 will not make any of the equations true.
Use square roots to solve the equation x^2 = −25 over the complex numbers. Enter your answers in numerical order.
Answer:
Step-by-step explanation:
x^2= -25
x=5i and -5i
Answer:
The answer is 5
Step-by-step explanation:
x^2= -25
x=√-25
x=5
Pls help, I only have ten min
How many 1-yard-square tiles would it take to cover this rectangle? Dimensions are in yards.
Answer:
it would take 520^2 tiles
Step-by-step explanation:
LxW
26×20
520 yrds^2
A recipe says to use 2 cups of chocolate chips to make 36 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of chocolate chips used, x?
Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.
What is the sum of the factors?
–19
–13
13
16
Answer with no step-by-step explanation:
13
hint there are 12 inches in a foot. your family recently had a family pressure taken your aunt asked you to take a picture of the portrait using your phone and send it to her if the original size of the portrait is 3 ft by 3 ft and the scale factor is 118 what would the size of the portrait be on ylour phone
Answer:
1,416
Step-by-step explanation:
multiply 12 by 116
how do i do this ? what does the y = 1 have to do with the reflection
because you have to flip the thing
Simplify 2 x2 - y for x = 3 and y = -2.
A. 10
B. 14
C. 20
D. 16
Answer:
B. 14
Step-by-step explanation:
okay we are going to place 3 where the x variable is and -2 where the y variable is in the equation 2 x2 - y
2 (3*2) - (-2)
the equation now looks like this:
2(6) - (-2)
Since the subtraction sign is in front of the negative number the negative number will turn positive making the equation look like this:
2(6) + 2
we are now going to do the order of operations by multiplying 6 by 2 before adding 2:
6 * 2 = 12 + 2 = 14
So the equation 2 x2 - y = 14
can u help me solve 8-3(7-4y) i know the answer i just need to kown how i got the answer
For a segment of a radio show a disc jockey can play 8 records. If there are 10 records to select from, in how many ways can the program for thid segment be arragned
Answer:
45 ways
Step-by-step explanation:
Combination method is appropriate for this question since it deals with arrangement.
i.e [tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{(n - r)!r!}[/tex]
Since 8 records are to be selected from 10 available records. Then, the number of ways for the arrangement of the records can be determined as;
Let n = 10 and r = 8
[tex]^{10}C_{8} }[/tex] = [tex]\frac{10!}{(10 - 8)!8!}[/tex]
= [tex]\frac{10!}{2!8!}[/tex]
= [tex]\frac{10*9*8*7*6*5*4*3*2!}{2!8*7*6*5*4*3*2!}[/tex]
= [tex]\frac{10*9}{2}[/tex]
= 45
Therefore, the number of ways by which the records can be arranged is 45.
2(h + 3.5) = -11 whats h?
Answer: H=-9
Step-by-step explanation:
(2)(h)+(2)(3.5)=−11
=2h+7=−11
=2h+7−7=−11−7
=2h=−18
h=-18/2
h=-9
Answer:
-9 is the answer hope it helps :)
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had
Complete question :
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had not met yet and were 170 mi apart. Find the speed of the trains.
Answer:
Train A = 80 miles per hour
Train B = 90 miles per hour
Step-by-step explanation:
Given that :
Distance between A and B = 1020
Let the speed of A = x
Speed of B = x + 10
Since they both left simultaneously;
Distance traveled after 5 hours will be :
Distance = speed * time
A = x * 5 = 5x
B = (x + 10) * 5 = 5x + 50
After the distance traveled by each of A and B, they are still 170 miles apart
Hence, distance covered after 5 hours ;
Total miles - miles left
1020 - 170 = 850 miles
Hence,
5x + 5x + 50 = 850
10x = 850 - 50
10x = 800
x = 80
Train A = 80 miles per hour
Train B = 80 + 10 = 90 miles per hour
What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)
Answer:
17
Step-by-step explanation:
24x+24=27x-27
51=3x
x=17
A line passes through (0, 2) and has a slope of 13 .
What is the equation of the line in slope-intercept form?
y=13x+2
y=13x−2
y=−13x+2
I don't know.
Answer:
y=1/3x+2
Step-by-step explanation:
Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
Given :
A line passes through (0, 2) and has a slope of 1/3
The equation of a line in slope intercept form is y=mx+b
where m is the slope and b is the y intercept
From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]
The line passes through (0,2) that is our y intercept b
b= 2
Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b
[tex]y= \frac{1}{3} x+2[/tex]
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
Learn more : brainly.com/question/25704074
Give the Domain and Range for each of the following.
f(x) = {(-2,0); (3,8); (-5, 10); (0,3)}
Answer:
The Domain are -2,3,-5,0
The Range are 0,8,10,3
In APQR, ZQ = ZP, RP = 13 and PQ = 19. Find the length of QR.
Answer:
13
Step-by-step explanation:
∠Q ≅ ∠ P ⇒ RP = RQ = 13
how to simplify this ......