8. Cory drove 7 miles South on Kings Drive. He then turned East and went another 24 miles down Hwy 66. At this point he turned on a diagonal and took Main Street back home. How far did Cory drive? show work
Answer:
Cory drove 56 miles.
Step-by-step explanation:
In order to solve the present problem, the Pythagorean theorem must be used, as the displacements towards the south and east operate as legs and the diagonal return as hypotenuse, forming a right triangle:
7 ^ 2 + 24 ^ 2 = X ^ 2
49 + 576 = X ^ 2
2√625 = X
25 = X
Thus, since he traveled 7 miles south, 24 miles east, and then 25 miles diagonally toward his house, in total he traveled 56 miles (7 + 24 + 25).
If f(x)=3x^2-x+3, then what is the remainder f(x) is divided by x+7?
Answer:
Remainder is 157
Step-by-step explanation:
-7 | 3 -1 3
____-21_154
3 -22 | 157
Answer is 3x-22 R157
All cabins on the Giant Ferris Wheel are numbered in order starting from the number 1. Jack came and sat in cabin 48. Jim skipped the next 15 cabins and sat in cabin 2. How many cabins are there
Answer:
61 cabins
Step-by-step explanation:
Since Jim skipped 15 cabins and ended up sitting in cabin 2 that means he finished the number of cabins available and passed it by 2 cabins. Meaning that if we subtract 2 cabins from the 15 he skipped that would mean that from where Jack is sitting there are only 13 more cabins available. Now we simply add the 13 cabins to the number of cabins that Jack is sitting in to calculate the total number of cabins.
48 + 13 = 61
Step-by-step explanation:
62 cabins. Jack is skipping the next 15 cabins, so, in reality, you are adding 14 to 48.
DJ Mykel is making a playlist for a radio show; he is trying to decide what 14 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and he wants to play no more than 3 hip-hop songs, how many different playlists are possible
Answer:
5878600 different playlists.
Step-by-step explanation:
Since we require 14 songs for the playlist and there are 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and DJ Mykel wants to play no more than 3 hip-hop songs, the number of ways in which he can combine the 7 hip-hop songs to play no more than 3 is ⁷C₃ = 7!/4!3!.
Now, since we have 3 songs already selected, we are left with 14 - 3 = 11 songs to select.
Since we have selected the 3 hip-hop songs, we are left with 5 jazz, 7 pop, and 8 blues songs which sum to a total of 20 songs.
So, we have 20 songs to select in 11 ways which is ²⁰C₁₁ = 20!/(20 - 11)!11! = 20!/9!11!
So, the number of different playlists that can be formed is thus
⁷C₃ × ²⁰C₁₁ = 7!/4!3!.× 20!/9!11!
= 35 × 167960
= 5878600 different playlists.
you will have amazing luck if you help me out trust
Answer:
x=29
Step-by-step explanation:
5x+30=175 because they are congruent
5x=145
x=29
Plzzzz help you are in a sailboat race. the course is triangular,racing A-B-C- finish. by what angle do the sailboats need to change so that they can make it to the finish line.
It depends they are at the time your asking the question
Answer:
I'm going with the first one
Step-by-step explanation:
How do you turn 8x-4y=20 into slope intercept form?
Please show me the steps
Answer:
[tex]y = 2x - 5[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
We need to leave y-term as the subject of equation.
[tex] - 4y = 20 - 8x[/tex]
Move 8x to subtract.
[tex]y = \frac{20 - 8x}{ - 4} [/tex]
Pull the negative out of 4.
[tex]y = - \frac{20 + 8x}{4} [/tex]
Simplify
[tex]y = - \frac{20}{4} + \frac{8x}{4} \\ y = - 5 + 2x[/tex]
Swap x-term and constant.
[tex]y = 2x - 5[/tex]
For questions 13 - 14, determine which mappings are functions. please help, will give brainliest
Answer:
24
Step-by-step explanation:
over a 5-year period.
Investment over
5 years
Value of investment (£)
1140
1120
1100
1080
1060
61040
1020
1000
0
0 1 2 3 4 5
Year
Answer:
Year 0 900$
Year 1 1000$
year 2 1080$
Year 3 61040$- (interest comes in)
Year 4 110000$
Year 5 152000$
Step-by-step explanation:
Make sure you put that interest comes in or you will be marked wrong.
You're welcome :D GoodLuck have a good day
Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.
Work out the total fine paid by Amelia. Give your answer in £
Answer:
Total fine paid by Amelia = £1.44
Step-by-step explanation:
Given that:
Number of days = 27 November to 12 December
Number of days = 16 days
Per day fine = 9p
Total fine = Per day fine * Number of days
Total fine = 9 * 16
Total fine = 144p
1£ = 100p
144p = [tex]\frac{144}{100}[/tex]
144p = £1.44
Hence,
Total fine paid by Amelia = £1.44
WHAT IS THE SQUARE ROOT OF 100???!??!?!?!??! WILL MARK BRAINLIEST
Answer:
10
Step-by-step explanation:
This is one of the easiest equations to perform on a calculator and to memorize, as I had to do in 7th grade. Just remember that when you multiply anything by 10, including itself, you just add a 0 to the result. So, 10 * 10 = 100. 10 * 11 = 110. 10 * 12 = 120. And so on...
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
How many groups of 3/4 are in each of the following questions?
11/4
Enter answer as a fraction.
Answer:
12 1/3
Step-by-step exp
First, you need to add up 11/4 and
6 1/2
11/ 4 + 6 1/2 = 11/4 + 13/2 = 37 / 4
To find how many 3/4 we have in 37/4, we simply dividw 37/4 by 3/4
37/4 ÷ 3/4
= 37/4 × 4/3 (4 will cancel out 4)
= 37/3
=12 1/3
please help me this is hard
x-3=–5
answer:
subracting 3 from both sides (by rule ll)
= 3-(-5)=-2
now ,x=-2 (ans)
Natalia cut a pie into eighths. She ate 3/4 of the whole pie. What fraction of the pie
did she eat?
Look at pic and pls halp
HELP!!!
Write the slope and a point from each of the given equations
1) y + 5 =-7/4(x-4)
Answer: x=
7
Step-by-step explanation:
Find the midpoint of points A(-8, 2) and B(-5, 10)
Answer:
-40×20
= -40/20
= -2
Step-by-step explanation:
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
The slope from point O to point A is fraction 1 over 5 times the slope of the line from point A to point B.
The slope from point O to point A is five times the slope of the line from point A to point B.
It is fraction 1 over 5 throughout the line.
It is 5 throughout the line.
Answer: The correct answer is B, the slope is -1/2.
Step-by-step explanation: I hope you have a blessed day. ;)
An increase divided by the run equals the slope: The rise and run of a line can be used to figure out its slope out of its graph, its value is [tex]\frac{1}{2}[/tex].
The slope of the line:
Given points:
Point A ⇒ (4,2)
Point B ⇒ (6,3)
calculate the slope value:
slope formula:
[tex]=\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{2-3}{4-6}\\\\=\frac{-1}{-2}\\\\=\frac{1}{2}[/tex]
Since all three aspects are all on the same line, their slopes will be the same. so, the slope value [tex]\frac{1}{2}[/tex].
Find out more about the slope here:
brainly.com/question/949226
Please just try and help it’s due in 18 mins. I’ll mark brainliest. :)
Is (1, -7) a solution of y=x-8?
Νο
Yes
hi die cry why guy shy fiy
Answer:
Yes
Step-by-step explanation:
You just plug in the values. [tex]-7 = 1-8[/tex]. You plug in 1 for x, and -7 for y
what is the area of the circle
Answer:
7850
Step-by-step explanation:
Answer:
7850 cm squared
Step-by-step explanation:
The formula for area of a circle is 3.14(r^2)
The radius is 50 cm.
3.14(50^2)
7850
can u pls help me with this question asap
Answer:
The answer is C
Step-by-step explanation:
If two fifths of the class is 42 just do 42 + 42 + 21 = 105 to find how many seniors there is.
what is least common multiple of 16 and 76
Answer:
304
Step-by-step explanation:
Answer:
lcm(76,16) = 304
Step-by-step explanation:
The multiples of 76 are … , 228, 304, 380, ….
The multiples of 16 are …, 288, 304, 320, …
The common multiples of 76 and 16 are n x 304, intersecting the two sets above, n\neq 0 \thinspace\in\thinspace\mathbb{Z}n
=0∈Z.
Can someone tell me how to do a transversal angle measurement with steps and angles
Answer:
Sorry I am not sure but when I figure it out..... I prolly won't
Step-by-step explanation:
Answer:
When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
Step-by-step explanation:
A line passes through the point (0,2) and has a slope of -1/4. What is the equation of the line
Answer:
Step-by-step explanation:
use point-slope formula [y-y1 = m(x-x1) ] with the given info
P=(x1,y1) = (0,2) and slope m = -1/4
y-2=-1/4(x-0)
y-2= -1/4x
now try to move things till you get the slope-intercept form [y=mx+b]
y= -1/4x+2
good all done :)
What is the area of this trapezoid enter your answer in the box
9514 1404 393
Answer:
336 cm^2
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...
A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2
Find the measure of angle Din the quadrilateral below.
A 85°
B 95°
C 120°
D?
Answer:
60 I
Step-by-step explanation:
At a grocery store, Guadalupe bought a bag of apples that weighed 27.4 ounc
• Apples cost $1.60 per pound.
• There are 16 ounces in a pound.
How much did Guadalupe's apples cost?
Answer:
$2.74
Step-by-step explanation:
27.4 / 16 = 1.7125
1.7125 * 1.6 = 2.74
Answer:
$2.74
Step-by-step explanation:
help easy alll you have to do is drag arrows wich i will be doing to the finish line have any questions comment!!!
Answer:
tyreagdfasgavgcrec
Step-by-step explanation:
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6 lots of 3 is 6 more than 5 lots of 3