Answers
The correct answer is 960 yards
Explanation:
The first step to answer this question is to calculate the distance Alan traveled. Additionally, to calculate this use the time (90 seconds) and the speed (32 ft/s) by considering distance equals speed multiplied by time.
D (Distance) = s (speed) x t (time)
D = 32 ft/s x 90 s
D= 2880 ft
This means the total distance was 2880 feet; however, the answers are provided in yards and the feet need to be changed to yards. Follow this process:
1 foot = 0.3333 yards
2880 ft x 0.3333 yards = 959.99 yards which can be rounded as 960 yards.
Related Questions
Select the correct answer.
Which complex number is equivalent to this expression?
1/3(6 + 3i) – 2/3(6 - 12i)
OA. 6- 7i
B. 6 + 9i
C. -2 + 9i
D.
-2 - 7i
Answers
Explanation:
1/3(6+3i) - 2/3(6 - 12i)
= 2 + i - 4 + 8i
= -2 + 9i
Answer:
-2 + 9i
Step-by-step explanation:
Write the equation, show all your work, and circle your answer. ** The
square and the equilateral triangle at the bottom have the same
perimeter. Find the length of the sides of the triangle.
X + 5
3x
Please help it’s due Jan 8, 2021
Answers
Answer:
The length of the triangle is 3x given
The no of sides is 3x 3x 3x so 3x+3x+3x= 180
9x=180 x= 20
3x =3*20=60
3x=3*20=60
3x=3*20=60
madison's family drove to her grandmothers' house. they drove 58.6 miles in the first hour, 67.2 miles in the second hour, and 60.5 miles in the third hour they followed the same routine to return home. about how much far did madison's family travel?
Answers
Answer:
add the 3 distances
Step-by-step explanation:
58.6 +67.2 + 60.5 = ( use a calculator ) = 186.3
When x=5, which is x3?
Answers
Answer:
125
Step-by-step explanation:
5 cubed is literally 5 x 5 x 5
So 5 x 5 = 25
multiply 25 with 5 and you get 125 as the answer.
The Answer Is 8
Your Welcome!♠
Amanda has four plastic shapes, a circle, a square, a triangle, and a pentagon, In how many ways can she lineup the four shapes if the circle cannot be next to the square
Do NOT have an explanation that isn't just writing all the combinations of shapes.
Answers
====================================================
Explanation:
Let's say we have the following code names for each shape
C = circleS = squareT = triangleP = pentagonWe have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions
Some permutations have C and S together, while others do not.
Example of them together: CSTP
Example of them separated: CTSP
--------------------------
Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.
Let's call this new shape "polygon" and define it as
L = polygon
The codename L is just a placeholder for CS or SC.
So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}
No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.
--------------------------
There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.
So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.
Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $14 per linear foot to install and the farmer is not willing to spend more than $7000, find the dimensions for the plot that would enclose the most area. (Enter the dimensions as a comma separated list.)
Answers
Answer:
Width = 166.7 ft
Length = 250 ft.
Step-by-step explanation:
From the diagram at the ATTACHMENT
Let us denote the the length of the rectangular area as "x" and
the width of the rectangular area as "y"
Since, cost of the fence on the western side is shared with a neighbor, we can say it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.
From the question, we know that the cost is not to exceed $7000, therefore we can expressed it as
7y + 14x + 14y = 7000
14x + 21y = 7000
Divide through by 14, we have
(x + 1.5) = 500 ------------- eqn (*)
But the area of the fenced
= A = (x×y) -------------- eqn (**)
Substitute (*) into (**) we have
A = (500 - 1.5y)*y
= 500y - 1.5y²
In other to maximize the Area, we can find the differential of A
A'(y) = 500 - 3y
At A'(y) = 0.
500-3y= 0
3y=500
y= 166.67 ft
From eqn(*)
(x+ 1.5) = 500
x = 500 - 1.5y
500-1.5(166.67)
= 250ft
Therefore, the dimensions for the plot that would enclose the most area are
Width of 166.67 ft and Length = 250 ft.
What is the domain and range of the following ordered pairs: {(-6, -7), (-1, 1), (0,
9), (3,-2)}? *
Wh
Domain: {-6, -1,0, 3} Range: (-6, -1, 0, 3}
Domain: {-7,1,9, -2} Range: {-7,1,9,-2}
Domain: {-7,1, 9, -2} Range: (-6,-1, 0,3}
Domain: {-6,-1, 0,3} Range: {-7, 1, 9, -2}
Answers
Answer:
The answer is the last option (d.)
Step-by-step explanation:
The domain is the X values and the range is the Y values.
Answer:
Answer: Domain {-6,-1,0,3} Range: {-7,1,9,-2}
Step-by-step explanation:
I took the test and it was correct.
9 lb 4 oz - 2 lb 12 oz with regrouping
Answers
Answer:
6 LB 12 OZ
Step-by-step explanation:
16 OZ in a LB
9 LB - 2 LB = 7 LB
4 OZ - 12 OZ difference of 8 OZ
4 - 4 = 0 then 16 OZ in a LB
4 remaining - 16 = 12 dropping the 7 LB to 6 LB
Answer:
6lb 8oz
Step-by-step explanation:
9lb 4oz
+16
8lb 20 oz
-2 lb 12oz =
Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25. He bought 3 times as many hotdogs as drinks. Graphically solve a system of equations in order to determine the number of hotdogs, x,x, and the number of drinks, y,y, that Kevin bought.
Answers
Answer:
6 hot dogs, 2 drinks
Step-by-step explanation:
let y = number of hot dogs
let x = number of drinks
system:
y = 3x
4.5y + 2.25x = 31.50 (standard form: y = -1/2x + 7)
if you graph the system, lines intersect at (2, 6)
Answer:
y=1/3 x
y=-2x+14
(6,2)
6 hotdogs and 2 drinks
Step-by-step explanation:
:)
Solve the following equations | 3x + 3/7 | = 2 1/3
Answers
Answer:
X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]
Step-by-step explanation:
help me pleaseeeeee!!!!!
Answers
Answer:
61
Step-by-step explanation:
3x + 28
5x + 52
+ 2x - 10
10x + 70 = 180º
x = 11
3(11) + 28 = 61º
Use the equation machine to help you solve the
addition equation.
O k=8
Ok=9
O k=17
O k=2
For 100 points
Answers
Answer: k=8
Step-by-step explanation:
Answer:
k=8
Step-by-step explanation:
Aaron made a $400 purchase using his credit card. The credit card has a simple interest rate of 12% each year. How much will Aaron owe in total at the end of the year?
Answers
Answer: 448 dollars
=============================================
Work Shown:
P = 400 is the balance
r = 0.12 is the decimal form of the interest rate
t = 1 is the number of years
Use those values to get the simple interest to be
i = P*r*t
i = 400*0.12*1
i = 48
The amount of interest charged is $48
Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.
Assume that you have a choice between a manufacturing job and a sales job. The annual earnings from the manufacturing job will have a normal distribution with a mean of $40 000 and a standard deviation of $9 000. The annual earnings from the sales job will have a normal distribution with a mean of $35 000 and a standard deviation of $9 000. What is the probability that you would earn more than $45 000 per year if you select one or the other
Answers
Answer:
0.42124
Step-by-step explanation:
Manufacturing job :
Mean (m) = 40,000
Standard deviation (s) = 9000
Sales job :
Mean (m) = 35000
Standard deviation (s) = 9000
Probability of earning more than 45000 if one or the other job is selected;
Obtaining the standardized scores and probability for each :
Z = (x - m) / s
P(x > 45000)
Z = (45000 - 40000) / 9000 = 0.5555
= 0.56
P(Z > 0.56) = 0.28774(Z probability calculator)
For sales :
P(x > 45000)
Z = (45000 - 35000) / 9000 = 1.1111111
= 1.11
P(Z > 1.11) = 0.1335 (Z probability calculator)
0.28774 + 0.1335 = 0.42124
Where did the 45% come from. It states 55% in question
Answers
Answer:
is this a question......
if a bus with an average speed of 45 km per hour takes 10 hrs to travel from a place to other in how many hour the bus can travel from one place to other if speed is increased by 5 km per hour
Answers
Answer:
9 Hours
Step-by-step explanation:
If it is increased by 5 km that would make it 50. But, let's go back to the 45 to find out how many km we are traveling. If we are doing 45 km per hour then you just multiply the 10 by 45 and get 450 km. Now that we have that, if the new speed is 50 km per hour, all we need to do is 450 divided by 50, which will get you 9.
What is the space between two rays with the same endpoint?
angle
ray
O endpoint
O length
Answers
Answer:
Angle
Step-by-step explanation:
Ray is also known as the line. Endpoint is where the ray stops. Length is how long the ray is. Angle is the space inbetween the two lines!
Find the area of the triangle.
PLEASE HELP ASPA
Answers
1/2*8*5*sin(140)=12.9cm
* means multiply
Answer:
(B). 12.9 cm²
Step-by-step explanation:
a = 8 cm , b = 5 cm , c ≈ 12.259 cm
P = 25.259 , s = P/2 ≈ 12.63
[tex]A_{ABC}[/tex] ≈ 12.856 ≈ 12.9 cm²
The range of (fog)(x) is
Answers
Answer:
The range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].
Step-by-step explanation:
Let [tex]f\circ g \,(x) = 2^{x+1}[/tex], [tex]\forall\, x \in \mathbb{R}[/tex]. The graphic represents a power function, whose lower bound is the horizontal asymptote [tex]y=0[/tex]. From the graphic we find the range of the composite function corresponds to the values of the function associated with the vertical axis (y-axis).
Hence, the range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].
Answer:
✔ y > 0.
Step-by-step explanation:
edg 2021
Complete this item.
Identify _1 and 22. Select all that apply of the following terms: acute, right, obtuse, adjacent, vertical,
complementary, supplementary.
Answers
Answer:
Angle 1 is obtuse, and adjacent. Angle 2 is obtuse, and is also adjacent.
Step-by-step explanation:
Both seem to be obtuse since they're not right triangles, and they're both adjacent because they have two angles that share the same vertex. Hope this helped :)
What is the value of 3x^2+4x+12 when x=-2
Answers
Answer:
16
Step-by-step explanation:
3 x -2^2 + 4 x -2 + 12
first do exponents -2 x -2 = 4
3 x 4 + 4 x -2 + 12
Next do multiplication or division from left to right
12 - 8 + 12
now do subtraction or addition from left to right
4 + 12
16
Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs $ 99 buy 2 wreaths and 1 tree . How much does each wreath cost? How much does each tree cost?
Answers
Answer:
[tex]W = 16[/tex]
[tex]T = 67[/tex]
Step-by-step explanation:
Represent trees with T and wreaths with W
Given
[tex]T = 3 + 4 * W[/tex]
[tex]2 * W + T = 99[/tex]
Solving (a): Cost of W
Substitute 3 + 4 * W for T in the second equation
[tex]2*W + 3 + 4 * W = 99[/tex]
[tex]2W + 3 + 4 W = 99[/tex]
Collect Like Terms
[tex]2W + 4 W = 99 - 3[/tex]
[tex]6W = 96[/tex]
Divide through by 6
[tex]W =\frac{96}{6}[/tex]
[tex]W = 16[/tex]
Hence, each wreath costs $16
Solving (b): Cost of T
[tex]T = 3 + 4 * W[/tex]
Substitute 16 for W
[tex]T = 3 + 4 * 16[/tex]
[tex]T = 3 + 64[/tex]
[tex]T = 67[/tex]
Hence, each tree costs $67
I GIVE BRANLILSET
Maddie prepared 24 kilograms of dough after working 6 hours. How many hours did Maddie work if she prepared 40 kilograms of dough? Assume the relationship is directly proportional.
Answers
Answer:
10 hours
Step-by-step explanation:
24kg dough/6 hours = 4kg dough/hour
4kg dough / 1 hour
*10 *10 (multiply both sides by 10)
---------------------------
40kg dough/10hrs
What is the expression of 5 times the difference between 19 and 13
Answers
Answer:
5 x 6
Step-by-step explanation:
Evaluate the expression 15x + 4 for x = -1 1/2
Answers
Answer:
18.5
Step-by-step explanation:
First we plug in the number
-1 1/2 is the same as -1.5
Plugging this in we will have:
15(-1.5) + 4 =
-22.5 + 4 =
-18.5
Write an equation in slope intercept form for the line that passes through the points (6,-3)and (0,2)
Answers
Answer:
y = [tex]\frac{5}{-6}[/tex]x + 2
Step-by-step explanation:
Given coordinates: (6,-3) (0,2)
y = mx + b
y = mx + 2
[tex]\frac{2+3}{0-6}[/tex] = [tex]\frac{5}{-6}[/tex]
y = [tex]\frac{5}{-6}[/tex]x + 2
Which inequality represents this sentence?
Six plus two is less than nine plus three.
9+3 9+3
Answers
Answer: it doesn’t make sense why you have random numbers underneath that inequality sentence. But if anything it would look like 6+2 < 9+3
Step-by-step explanation:
This < equals less than, or more than depending on what number it’s facing. Think of it as an alligator that eating the specific number (or larger number bc its hungry) so whatever the open side is facing is a more than but the number the closed side is facing is less than.
PLS HELP ME
It takes Li 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. How many miles can he drive in 5 hours?
Answers
Answer:
310
Step-by-step explanation:
65 x 5
I need help with algebra 2
Answers
Answer:
Lucky you I am taking Algebra 2 right now. Whats ur question??
Step-by-step explanation:
What is 1.2 + 6.07 =?
Answers
Answer:
7.9
Step-by-step explanation: