Ben hires some buses to take 768 people to a football match. Each bus can take 56 people.
Ben hires the least number of buses needed to take all 768 people. Then 19 of the people decide not to go to the football match. Does Ben still need all the buses he has hired? You must show how you get your answer.
Answers
Answer:
yes, he still needs all the buses he hired
Step-by-step explanation:
768 people/56 people per bus = 13.71, so 14 buses
768 - 19 = 749 people going
749people/56 people per bus = 13.37, so still need 14 buses
Related Questions
Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.
Answers
Answer:
C
Step-by-step explanation:
15, 16, 21 determine wether the triangle is acute
Answers
Answer:
no they don't because you could not use those numbers
ce este un numar rational?
Answers
Answer:
ratio
Step-by-step explanation:
Consider the number line.
+
+
-1
0
1
What is the value of x on the number line?
А
-1.5
B
-0.5
с
0.5
D
1.5
a
-1.5
Answers
slove this plzzz plzzz
Answers
Answer:
an equilateral triangle have equal angles and equal sides.
so, side x and side bc are 12.
Answer:
It's going to be 12, so is the other size.
Step-by-step explanation:
You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D
X + (x+1) + (x+2) = -21
Answers
Answer:
x= - 8
Step-by-step explanation: Are you solving for X if so here is the answer
Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
Answers
C(x)=4x; R(x) = 6X-.001x²
Marginal cost?
Answers
Answer:
the answer is to commit uninstall
Step-by-step explanation:
gg wp
-4x - 4(6x-14) +8(6x-10) - (20x -18)
Answers
Answer:
I believe it is -6
Step-by-step explanation:
please help me solve this problem!!
Answers
Answer:
here's the link to the answer
Step-by-step explanation:
WWW.math.com/int.etg
*NEED HELP QUICKLY*
my son is doing a math assignment and he needs this done within the hour. i tried to help with it but math isn’t my strong suit.
Answers
Answer: undefined
Step-by-step explanation:
I think im not sure tho
the parallelogram height is 1 and 1/2 times the base length and the base length is 6
Answers
Which expresses shows another way to write 36+16?
Answers
4(9 + 4), because :
4 * 9 + 4 * 4 = 36 + 16
Factor completely
12n^3 + 15n^2 + 4n + 5
Answers
I'm lost on this please help
Answers
Answer:
Y=1/4x+33/4
Step-by-step explanation:
Y=1/4x+b
9=1/4(3)+b
9=3/4+b
8.25=33/4=b
Y=1/4x+33/4
Andrew bought 3 boxes of granlla bars. There are 13 granola bars in each box. choose the expression that shows how many granola bars Andrew brought.
13+b
13b
b÷13
13÷b
Answers
Answer:
13b
Step-by-step explanation:
Answer:
The correct Answer is B: 13B
Step-by-step explanation:
Have A Nice Day.
Which equation is another way to show
5/4?
A. 1/5x1/4=
B. 4x1/5=
C. 4 divided by 5=
D. 5 divided by 4=
E. 5+1/4=
Answers
Answer:
D
Step-by-step explanation:
5 divided by 4 is just 5/4 written out
What is the area of the top AND bottom faces?
Answers
Answer:
Top : 24cm²
Bottom : 24cm²
Step-by-step explanation:
Surface area : Base × Height
Top :
3 × 8 = 24
Bottom :
3 × 8 = 24
Pleaseeeee helppppppp
Answers
Answer:
TIK TOK
Step-by-step explanation:
ON THE CLOCK
the area of a triangle is 1/2bh
so (1/2)(3)(8)=12
Two claimants place calls simultaneously to an insurer's claims call center. The times X and Y, in minutes, that elapse before the respective claimants get to speak with call center representatives are independently and identically distributed. The moment generating function of each random variable is
M(t)= (1/11.5t)^2 , t < 2/3
Required:
Calculate the standard deviation of X + Y.
Answers
The moment generating function of each random variable is;
M(t) = (1/(1 - 1.5t))^(2), t < 2/3
Answer:
SD[X + Y] = 3
Step-by-step explanation:
For ease of differentiation, let's rewrite the M(t) function as;
M(t) = (1 - (3/2)t)^(-2)
Let's find the first derivative of the function;
M'(t) = 3(1 - (3/2)t)^(-3)
To get E[X], we will put 0 for t to get;
E[X] = 3(1 - (3/2)0)^(-3)
E[X] = 3
Now,let's find the second derivative of M(t)
M"(t) = (27/2)(1 - (3/2)t)^(-4)
At,t = 0, we will get E[X²]
Thus;
E[X²] = 27/2
Now, Var[X] = E[X²] - (E[X])²
Var[X] = (27/2) - 3²
Var[X] = 9/2
We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;
Var[X + Y] = 9/2 + 9/2
Var[X + Y] = 9
Now,we know that square root of variance is standard deviation. Thus;
SD[X + Y] = √9
SD[X + Y] = 3
The linear function f(x) = 0 5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function 9(x) represents the average test score in your science
class, where x is the number of the test taken.
x 0x)
1 81
283
3 85
Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after the completing test 2.
Part C: Which class had a higher average after completing test 4? Show work to support your answer
Answers
Answer:
more information
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
53 and 17
Step-by-step explanation:
If you add 53 and 17, you get 70.
If you subtract 17 from 53, you get 36. Hope this helps!
CAN SOMEONE HELP ME PLZZZ
Answers
Answer:2440
Step-by-step explanation:
Please help with my math problems
Answers
Answer:
4. D
6. A
Step-by-step explanation:
What is the answer to this
Answers
Cos(theta)=12/13
Theta=cos^-1(12/13)
Theta=22.62 degrees
Hope it helps
For this cylinder the radius = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?Use 3.14 what is this answer
Answers
Answer:
896.784
Step-by-step explanation:
Comment if you want the explanation
|x+3 , if x = 2. Plz help I will pick brainlist
Answers
Answer:
1(2)+3=5
Step-by-step explanation:
Help me please I give brainliest and be serious
Answers
Answer:
15, y = 1/2x + 3.75
Step-by-step explanation:
Am not 100% sure but for #15
cuz I graphed it & it looks alike
What is the answer
How do you solve it
Answers
Answer:
-50y+(-80)
Step-by-step explanation:
Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?
Answers
Answer:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
Step-by-step explanation:
Complex numbers:
The following relation is important for complex numbers:
[tex]i^2 = -1[/tex]
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Has zeros −19 and −i
If -i is a zero, its conjugate i is also a zero. So
[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]
Output of 40 when x=1
This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So
[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]
[tex]40 = a(20)(2)[/tex]
[tex]40a = 40[/tex]
[tex]a = 1[/tex]
The polynomial is:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]