Answer:
1560780 selections
Step-by-step explanation:
Given
Cars = 29
Selection = 7
Required
Possible number of selections
The interpretation of the question is that, in how many ways can 7 cars be selected from 29.
This is done using combination formula as follows:.
[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]
Where
[tex]n = 29[/tex]
[tex]r = 7[/tex]
So, the formula becomes:
[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]
[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]
[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]
[tex]^{29}C_7 = 1560780[/tex]
Hence, the number of ways is 1560780
Greg has 245 cows on his farm. In the mornings, he gives them a total of 5,752 pounds of hay. If each cow eats the same amount, how much hay does each cow eat? A. 26 pounds B. 245 pounds 5,752 C. 117 23— pounds 245 D. 5,507 pounds
Answer:
I would say A because the real answer is 23.477
Step-by-step explanation:
What is the answer to m / π = 7.3
Answer:
m=7.3π=22.93
Step-by-step explanation:
m=7.3π=22.93
(rounded to 2 decimal places)
Explanation:
Multiply both sides by π
mπ×π=7.3×π
m=7.3×π
m=7.3×3.14159....
m=22.9336....
For π, you can use your calculator value as I have done here, or you can use 3.14or3.142or227
You will get slightly different answers each time.
j
— + 7 = -12
-2
what is the answer
Answer:
j=38
Step-by-step explanation:
j
— + 7 = -12
-2
move the (7) to the other side by subtracting,
-12-7= 19
j
— = -19
-2
continue by moving (-2) to the other side as well, do so by multiplying,
-19*-2= 38
therefore, j=38
Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?
Answer
answers is 267 bits oof yard
Step-by-step explanation:
Answer:
146 divided into 18 would be 8.11111111111.. and so on.
Step-by-step explanation:
Hope that helps :)
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
A
Step-by-step explanation:
Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!
what is the answer for
3x÷2=6
Answer:
x = 4
Step-by-step explanation:
3x÷2=6
Multiply both sides by 2.
3x = 12
Divide by 3.
x = 4
Answer:
x=4
Step-by-step explanation:
To solve [tex]\frac{3x}{2}[/tex]=6 you need to isolate the variable. To do this you need to do the opposite operation of all of the constants.
First, multiply both sides by 2,
[tex]\frac{3x}{2}[/tex]*2=6*2
3x=12
Then divide both sides by 3,
3x/3=12/3
x=4
can u pls help me with this question
Answer:
c
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
390% of 120 my brain is turning to mush right now... i have a mental capacity of a 2nd grader
Answer:
Your answer is 468
Step-by-step explanation:
390% of 120 = 468
F(x)=4x+5whsts the value of. F(-3). Is
Answer:
F(-3) = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
F(x) = 4x + 5
F(-3) is x = -3
Step 2: Evaluate
Substitute: F(-3) = 4(-3) + 5Multiply: F(-3) = -12 + 5Add: F(-3) = -7An $800 couch is marked up 20%. (increase) What is the new price of the couch?
Answer:
The new price of the couch is $960
Step-by-step explanation:
(07.03)
How many solutions does the equation 5x + 10 = 5x - 8 have? (4 points)
a
Zero
Ob
One
ос
Two
Od
Infinitely many
Answer:
0 I think
Step-by-step explanation:
0 solutions because 5x will cancer each other making de solutions undefined
7. The vertices of a triangle are P(-7, -1). Q(-7, -8), and R(3. -3). Name the vertices of the
image reflected across the line y=x.
OPX4,7). Q18. 7), R3.-3)
OP/4.-7). Q18. -7). R33)
OP(-7). QI-S.-7), R(-3.3)
OPT+7). Q1-8. 7). R(-3, -3)
The vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).
Therefore, the correct answer is:
P'( -1, -7), Q'( -8, -7), R'( -3, 3)
Here,
To find the image of the triangle vertices reflected across the line y = x, we need to swap the x-coordinates with the y-coordinates.
Original vertices of the triangle:
P(-7, -1)
Q(-7, -8)
R(3, -3)
Now, swap the x and y coordinates to get the reflected image:
Reflected image vertices:
P'( -1, -7)
Q'( -8, -7)
R'( -3, 3)
So, the vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).
Therefore, the correct answer is:
P'( -1, -7), Q'( -8, -7), R'( -3, 3).
To learn more on reflection click:
brainly.com/question/15487308
#SPJ7
Describe the graph of y = negative x squared and compare it with the graph of y = x squared.
Answer:
The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.
Answer:
The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.
Step-by-step explanation:
This was the possible answer that was given :)
Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.
A. 8 – 3x = 2x + 4; x = 2.4
B. 8 – 3x = 2(x + 4); x= 0
C. 3x – 8 = 2x + 4; x= 12
D. 3x – 8 = 2(x + 4); x = 16
Answer:
It is either b or d but I think it is b
Step-by-step explanation:
The store bought the bike at a wholesale price. The bike store marked up the wholesale cost of the bike by 60%. What was the wholesale cost of the bike if the store sold the bike to Andre for $160?
Answer: The wholesale cost of the bike = $100
Step-by-step explanation:
Let x = wholesale cost of the bike
As per given,
Selling price = cost price + (Mark up percent) x ( cost price) (i)
Selling price of bike = $160
Mark up percent = 60% =0.60
Substitute values in (i) , we get
[tex]160= x+0.6x\\\\\Rightarrow\ 160=1.6x\\\\\Rightarrow\ x=\dfrac{160}{1.6}\\\\\Rightarrow\ x= 100[/tex]
Hence, the wholesale cost of the bike = $100
Graph this line using the slope and y-intercept:
y = x + 2
Click to select points on the graph.
Answer:
points-
(0,2)
(5,3)
(10,4)
I hope this is good enough:
Answer:
Step-by-step explanation:
points-
(0,2)
(5,3)
(10,4)
4.(03.01)
Is the following relation a function? (1 point)
A: Yes
B: No
Answer:
A
Step-by-step explanation:
X can only have 1 input buy Y can have many
A 2 yard piece of ribbon costs $10.80. What is the price per inch?
Answer:
0.15
Step-by-step explanation:
2 yards = 72
10.80 / 72 = 0.15
1 yard is 36 inches. 2 yards is 72 inches. The question wants you to divide $10.80 into the inches that represent the yards. $10.80 / 72 = $0.15
PLEASE HELP FAST AND CORRECT! 50 points!
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6×X+95=4/5×X
Subtract X from both sides of the equation
Multiply/Combine like terms
95=19/30×X
Multiply by 30/19 and simply
30/19*95=X
Solve for X to get 150
1/6×150=25
4/5×150=120
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6*x+95=4/5*x
Move stuff around
95=1/6+4/5*x
Multiply/Combine like terms
95=19/30*x
Multiply by 30/19 and then simplify
30/19*95=x
Solve for x
1/6*150=25
4/5*150=120
Which number line shows the solution to the inequality 5x + 3> - 17
Answer:
C would be the correct number line
Step-by-step explanation:
5x ≥ - 17 - 3
5x ≥ -20
5x/5 ≥ -20/5
x ≥ 4
Shiloh is splitting a quart of mac n cheese with seven friends. If all 8 of them share the quart equally, how many cups will each person get?
Can someone please help me
Answer:
0.125 quarts
Step-by-step explanation: One quart divided by 8
Can i be brainliest
Find the m ULE in the triangle below.
L
109
RU
E49
Find the m ULE. Plzzzzz help hurry
A linear function contains the following points. (0,-4) (4,4) What are the slope and y-intercept of this function?
Answer:
slope = 2
y-intercept= -4
Step-by-step explanation:
slope = y2- y1/ x2-x1
slope = 4-(-4) / 4-0
slope = 2
using (4,4) for (x,y)
y= mx+b
4= 2(4)+b
b= -4
Translate to algebra:
Tom has t dollars. He buys 5 packets of gum worth d dollars each. How much money does he have left?
Answer: t - 5d
Step-by-step explanation: Since you are buying 5 and they cost d dollars you would multiply 5 by d. Then since you have t dollars as a total you subtract 5d from t so you get t -5d.
/3
9. At the bowling alley, Angela rented shoes for $3 and it cost her $2.50 to bowl each game.
a) State an equation that represents the cost of bowling in the form C = mx + b, where C is the total
cost and x is the number of games bowled.
b) How much did it cost her to bowl four games?
Answer:
$13
Step-by-step explanation:
For the equation, m will be 2.50 and b will be 3. This is because 2.50 will change as she plays more games. The 3 will stay the same no matter how many games she plays.
C = 2.5x + 3
To find the cost to bowl four games, plug 4 into x and solve for C.
C = 2.5x + 3
C = 2.5(4) + 3
C = 10 + 3
C = 13
Byron is 2 years younger than Cindy. Eight
years ago, the sum of their ages was 14.
How old is Byron now?
Step-by-step explanation:
let age of Byron be b yr old and Cindy be c yr old.
c = b + 2 --(1)
b - 8 + c - 8 = 14
b + c = 30 --(2)
sub (1) into (2):
2b = 28
b = 14
therefore Byron is 14 yr old now.
Topic: simultaneous eqns
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Answer:
10
Step-by-step explanation:
Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.
Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10
P.S: This just based on my understanding of the problem.
The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $460 a week?
Answer:
0.74751
Step-by-step explanation:
Using the z score formula
z = (x-μ)/σ, where
x is the raw score = $460
μ is the population mean = $490
σ is the population standard deviation = $45
z = 460 - 490/45
z = -0.66667
Probability value from Z-Table:
P(x < 460) = 0.25249
P(x > 460) = 1 - P(x<460)
P(x > 460) = 1 - 0.25249
P(x > 460) = 0.74751
The probability that a randomly selected teacher earns more than $460 a week is 0.74751
HELPPPP WITH THIS QUESTION PLEASEEE!!!
Answer:
I believe it is A.
Let me know if this helps!
pls do 12-17!! im struggling. will give brainliest + 62 points
Answers (all in complete sentence):
12. A linear function because it goes at a constant rate of change.
13. A linear function because it goes at a constant rate of change.
14. A nonlinear function because it doesn’t go at a constant rate of change.
15. a. The missing y-value is 4.20 that makes the table represent a linear function.
b. y=1.4x is a linear funcation that represents the cost y of x pounds of seeds.
16. The table represents a nonlinear function because the change in the wavelength, x divided by the change in the frequency, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.
17. The table represents a nonlinear function because the change in the height, x divided by the change in the steps, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.
Hope this helps and answers your questions :)
mrs Moore worked 42 hours and 35 minutes last week. How many hours and minutes did she average in each of the five days?
Answer:
6.08333333 hours
Step-by-step explanation:
((42 hours) + (35 minutes)) / 7 = 6.08333333 hours
hope this helps LOL :)
Answer:
511 min or 8 hrs and 52 min
Step-by-step explanation:
first you need a common subject so convert 42 hours into min, which is 2,520 then add the 35 which gives you 2,555 total.
then divide by 5 which gives you the adverage of 511 min
convert answer into hours which is about 8 hours and 52 min rounding up