The average distance traveled by Steven in 1 month is 1,005 miles.
What is the average?In plain English, an average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. Scoring an average of 85 on the test means may signify a value in the middle of two extremes or the simple average.So, average miles traveled in 1 month:
Distance Steven drove is 12060 miles.Distance traveled in 12 months.So, the average distance traveled in 1 month is:
12060/12 1005 milesTherefore, the average distance traveled by Steven in 1 month is 1,005 miles.
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Answer:
The average distance traveled by Steven in 1 month is 1,005 miles.
Step-by-step explanation:
how to solve 5 divided by 2545
Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form y=mx+c
Answer:
y=-1/2x+7/2
Step-by-step explanation:
Gradient is negative reciprocal so -1/2x
3=-1/2x + 7/2
y=-1/2x+7/2
Answer:
perpendicular lines have the same gradient
y=2x+3
The gradient of the two lines is 2
Gradient=change in y/change in x
=y2-y1/x2-x1
Let (x,y) also lie on the line
2= y-3/x-1
2(x-1) =y-3
2x-2=y-3
2x-y=-3+2
2x-y= -1
2x+1 =y
y=2x+1
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE A GREAT DAY
Divide 2/5 divided by 4 in simplest terms
Answer:
1/10
Step-by-step explanation:
please help me with this sum
Answer:
391 × 5 = 1955
621 × 3 = 1863
481 × 7 = 3367
531 × 6 = 3186
981 × 2 = 1962
761 × 9 = 6849
581 × 8 = 4648
431 × 3 = 1293
271 × 4 = 1084
821 × 4 = 3284
Find the volume of the rectangular prism. Please help will mark brainlist
A. 194 m3
B. 388 m3
C. 140 m3
D. 280 m3
Answer:
[tex] {280m}^{3} [/tex]
Answer:
D. 280 m³
Step-by-step explanation:
The formula for the volume of a cuboid is length × width × height
v = 20 m × 7 m × 2 m = 280 m³
The hypotenuse of a right triangle is 15 cm. One of the triangles legs is two times the length of the other leg
Step-by-step explanation:
to solve you will use the formula c2=a2+b2 where c2 is always the hypotenuse and a2 and b2 are the rest of the sides. So c2 will be (15)2 and a2 will be (2x)2 while b2 will be represented by x2.Calculate (15)2=(2x)2+x2 You will get 225=4x2+x24x2+x2 will give you 5x2Then you will divide 225 by 5x2 and find the square root of it.√45 is an irritational number since it has no perfect square so you will use the long division method.Your answer will be 6.708PLEASE HELP
answer both of the questions in the photo please
Answer:
-6
11
Step-by-step explanation:
-6n-5=31
-6n=36
n=-6
-28=-3n+5
3n=5+28
3n=33
n=11
Brooke and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a
picnic table to share them. Brooke evenly distributes the donuts onto 13 napkins, one for
each person in the group. Each napkin has 4 donuts.
Which equation can you use to find the number of donuts d in the bag?
d + 13 = 4
d
= 4
13
13d = 4
d - 13 = 4
Answer:
d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided
Step-by-step explanation: 13/d
Help!!!!!!!!!!!!!!!!
Answer:
geevehrhrirbirbrbrnrnrbrbrbrbrbblo Uruguay 7dm9 7dm9 uvo idilio icono iconorbtbrbbrbrbrbrjrjjrj4jrkkenenenrnrnnktkr
Step-by-step explanation:
higos arraigo titubear otorgó eurodiputados
add 3 3/5 + 6 3/10 tyyyyy
[tex] = 9 \frac{9}{10} \\ \\ in \: \: alternate \: \: forms \\ \\ \frac{99}{10} \: \: \: and \: \: 9.9 \\ \\ hope \: it \: \: helps[/tex]
see the attachment!4.3 1/2* 2 1/2
Simplify
Answer:
35
Step-by-step explanation:
4.3 1/2 * 2 1/2 = 35/1 =35
If this is wrong i'm sorry
In a normal distribution the mean is 30.What will be the value of median of this distribution?
Answer:
30
Step-by-step explanation:
because in normal distribution
mean=median=mode
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)
Given :
A = {x: 2x² + 3x - 2 = 0 } B = {x : x² + 3x - 4 = 0 }To find :
(A U B ) × (A Π B )Solution :-
The first set is ,
A ={x : 2x² + 3x - 2 = 0}Solving the Quadratic equation ,
2x² + 3x - 2 = 0 2x² + 4x - x - 2 = 0 2x( x + 2) -1( x + 2 ) = 0(2x -1) ( x + 2) = 0 x = 0.5 , -2Hence ,
A ={0.5, -2}The second set is ,
B ={ x :x² + 3x - 4 = 0 }Solving the Quadratic equation ,
x² + 3x - 4 = 0 x² + 4x - x - 4 = 0 x( x + 4)-1 ( x +4) = 0 (x + 4) ( x -1) = 0 x = 1 , -4Hence ,
B ={1,4}Now ,
A U B = { 0.5 , 1 , 4 , -2} A Π B = {∅ }Since AΠ B is a null set , hence ,
A × B = {∅}Please help, the question is in the photo
Answer:
38.3 miles per gallon
Step-by-step explanation:
if you divide the miles driven by the gallons used you get 38.3
689.4 / 18 = 38.3
1263.9 / 33 = 38.3
1570.3 / 41 = 38.3
What is 4 times 4 and 5555 times 8999989
Answer:
4 *4 = 16
16 * 5555 = 88880
88880 * 8999989 = 799919022320
Brainliest :D
Step-by-step explanation:
Answer:
49994938911
Step-by-step explanation:
(4times4)(5555times8999989)
a business has recently made some upgrades to their shop that cost them $1,200. Normally, this business has a running cost of $50 per hour, and they have an income of $80 per hour. How many hours will it take for this business to recover the costs from the upgrades, and how much income will they have brought in by then
Answer:
9.23 hours to recover the money spent.
Step-by-step explanation:
50+80=130
130x 9=1170
130x9.23=1200
Evaluate the expression when b=3 and c=6.
Answer:
8
Step-by-step explanation:
dear! mam /sir!
solution;
given: b=3 and c=6.
=(6^2-4*3)/3
=(36-12)/3
=24/3
=8
hope it hlps..thank u!!
maria buys 2 dozen pens at $7.20 a dozen. she then sells the pens at 80c each. calculate her profit
solve pls brainliest
Answer:
1) 2
2) 1
3) 8
Step-by-step explanation:
brainliest plz
A parabola can be drawn given a focus of (8,4) and a directrix of x = 6. Write the
equation of the parabola in any form.
9514 1404 393
Answer:
x = 1/4(y -4)² +7
Step-by-step explanation:
A parabola can have the equation ...
x = 1/(4p)(y -k)² +h
where the vertex is (h, k), and the vertex-to-focus distance is p.
The vertex is halfway between the focus and directrix, so has coordinates ...
((8, 4) +(6, 4))/2 = (7, 4)
The distance from the vertex to the focus is 8-7 = 1, so the equation can be written ...
x = 1/4(y -4)² +7
what is the quotient of 2x+5/4 ÷ 2x+5/6
a. 1/4
b. 1/2
c. 2/3
d. 3/2
1. find the measure of each angle
Step-by-step explanation:
adding both equations together makes the straight line that is QRS. straight lines are 180
you should picture a windshield wiper going side to side and you're trying to see how much farther it has to move until it straightens out at the bottom
(3x-5) + (10x-7) = 180
Which of the following are perfect squares? 2, 4, 6, 16, 20,25, x², x³, x¹⁵, x²⁰, x²⁵
Answer:
4, 16, 25, [tex]x^{2}[/tex], [tex]x^{20}\\[/tex].
Step-by-step explanation:
Answer:
16, 4, 25, x², x ²⁰
. . . . . . . .
hhhhhhhhhhhheeeeeeeelllllllllllpppppppppppp me
please help me for my practice problems
4x-9=-3 2/3 can someone evaluate x for me
Answer:
x=1 1/3
Step-by-step explanation:
A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If the height of the bounce follows geometric progression, find the general term that represent the situation in term of k. [2 marks] Hence, if the ball dropped from a height of 235ft, determine i. the highest height achieved by the ball after six bounces ii. the total distance travelled by the ball when it strikes the ground for 12th time [2 marks] [3 marks b) The number of cell double after each process of cell division every 2 hours. If there are 120 bacteria initially, how many bacteria will be there after one and half day? [4 marks]
The movement of the ping pong ball follows a exponential progression.
The expression for the k-th bounce is: [tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]The height after the 6th bounce is 41.82 ftThe total distance after the 12th bounce is 1584.84ft.There will be 31457280 bacteria after a day and a half.1. Ping pong ball
The given parameters are:
[tex]\mathbf{a = 235}[/tex] --- the initial height
[tex]\mathbf{r = 75\%}[/tex] --- the common ratio
(a) The expression after bouncing k times
To do this, we make use of
[tex]\mathbf{T_n = a \times r^n}[/tex]
So, we have:
[tex]\mathbf{T_n = 235 \times (0.75)^n}[/tex]
In this case; k = n.
So, the equation becomes
[tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]
Hence, the expression for the k-th bounce is: [tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]
(b) The height after bouncing 6 times
This means that k = 6.
So, we have:
[tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]
[tex]\mathbf{T_6 = 235 \times (0.75)^6}[/tex]
[tex]\mathbf{T_6 = 41.82}[/tex]
Hence, the height after the 6th bounce is 41.82 ft
(c) The total distance after the 12th bounce
First, we calculate the total height after the 12th bounce using:
[tex]\mathbf{S_k = \frac{a(1 - r^k)}{1 - r}}[/tex]
So, we have:
[tex]\mathbf{S_k = \frac{235 \times (1 - 0.75^{12})}{1 - 0.75}}[/tex]
[tex]\mathbf{S_k = \frac{235 \times (0.968)}{0.25}}[/tex]
[tex]\mathbf{S_k = 909.92}[/tex]
So, the total distance is:
[tex]\mathbf{Distance = 2 \times S_k - a}[/tex]
[tex]\mathbf{Distance = 2 \times 909.92 - 235}[/tex]
[tex]\mathbf{Distance = 1584.84}[/tex]
Hence, the total distance after the 12th bounce is 1584.84ft.
(2) Cell division
The given parameters are:
[tex]\mathbf{r = 2/2hr}[/tex] --- rate
[tex]\mathbf{a = 120}[/tex] --- initial number of cells
[tex]\mathbf{t = 18}[/tex] --- number of 2 hours is a day and a half
So, the number of bacteria is:
[tex]\mathbf{T_t = ar^t}[/tex]
This gives
[tex]\mathbf{T_t = 120 \times 2^{18}}[/tex]
[tex]\mathbf{T_t = 31457280}[/tex]
Hence, there will be 31457280 bacteria after a day and a half.
Read more about exponential functions at:
https://brainly.com/question/11487261
What i want to know is.. why is that possible?
And, why we could add the two inequalities together down side there ??
Answer: Explanation below.
Step-by-step explanation: A good question, since working with inequalities and using the same operations as with "=" equations is a bit uncomfortable. I don't have a mathematical proof for this operation, but approach it with a "Why not?" attitude. If 9>6 and 130 > 30, why wouldn't 139>36? There is nothing in the add operation that should upset the basic inequality. I suggest https://www.storyofmathematics.com/inequalities-math for more information.
Need this by tomorrow please and thank you!
Answer:
I think it's x=5
Step-by-step explanation:
3x+15=2x+20
-2x. -2x
x+15=20
-15. -15
x=5
sorry if is not the answer
fill in the blank (Geometry B)
Step-by-step explanation:
ratio
to
sind = d/e
sinf = f/e
