The average speed is 70 miles per hour and the instantaneous speed is 68
miles per hour.
The average speed is the total distance travelled divided by the elapsed time
while the instantaneous speed is the accurate speed covered by the object
at a given instant of time.
Mathematically,
average speed = total distance travelled by the object / total time taken by
the object
Instantaneous speed = distance of an instant / time of an instant.
Therefore,
The average speed is 70 miles per hour.
The instantaneous speed is 68 miles per hour.
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If > 0, what values of cand d make the equations true?
Answer:
Step-by-step explanation:
In equation A, c = 7
In equation B, d = 5
Today, Shataya has 77 songs on her MP3 player. She added 29 of those songs yesterday. How many songs were originally on her MP3 player?
Sally can paint a room in 5 hours while it takes Steve 8 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
Sally does 1/5 of a room per hour.
Steve does 1/7 of a room per hour.
Together --> 1/5 + 1/7 = 12/35 rooms per hour.
The inverse is hours per room = 35/12
--------------
Parallel work is similar to parallel flow and parallel resistors.
----
PS 5*7/(5+7) = 35/12
Step-by-step explanation:
Answer: about 3 hours and 5 minutes
Step-by-step explanation:
Sally can paint [tex]\frac{1}{5}[/tex] of the room in an hour while Steve is able to paint [tex]\frac{1}{8}[/tex] in an hour.
To find how long it would take to paint the room together you add the two fractions together:
[tex]\frac{1}{5} + \frac{1}{8}[/tex]
To add or subtract fractions we find a common denominator and add the numenators:
[tex]\frac{1}{5} = \frac{8}{40}[/tex] [tex]\frac{1}{8} = \frac{5}{40}[/tex]
[tex]\frac{5}{40} + \frac{8}{40} = \frac{13}{40}[/tex]
The inverse of the fraction is hours per room = [tex]\frac{40}{13}[/tex]
[tex]\frac{40}{13}[/tex] = 3.077 = about 3 hours and 5 minutes.
Select the correct answer from the drop-down menu. Vectors u and v are perpendicular. ||u||=5sqrt2 units, and ||v||=6sqrt2 units. ||u + v|| ≈ units
Recall that ||x||² = x • x for any vector x, so
||u + v||² = (u + v) • (u + v)
||u + v||² = (u • u) + (u • v) + (v • u) + (v • v)
||u + v||² = ||u||² + 0 + 0 + ||v||²
||u + v||² = ||u||² + ||v||²
where u • v = v • u = 0 since u and v are perpendicular.
Then
||u + v||² = (5√2)² + (6√2)²
||u + v||² = 25•2 + 36•2
||u + v||² = 122
||u + v|| = √122
Answer:
11.05
Step-by-step explanation:
Evaluate −xyz
-
x
y
z
if x=−23
x
=
-
2
3
, y=0.6
y
=
0
.
6
, and z=178
z
=
1
7
8
. Write your answer as a fraction in simplest form
The required value of the expression x·y·z is -3/4 which is determined by substituting the values of x, y, and z in the given expression.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The given expression below is:
⇒ x·y·z
We have to determine the evaluation of the given expression
Here the variables x, y, and, z are given in the question
x = −2/3
y = 0.6
z = 1 7/8 = 15 / 8
⇒ x·y·z
Substitute the values of x, y, and z in the given expression,
⇒ (-2/3)·(0.6)·(15 / 8)
⇒ (-2/3)·(6/10)·(15 / 8)
⇒ - (2×6×15) / (3×10×8)
⇒ - 180 / 240
Reduce the fraction to the simplest form
⇒ - 3 / 4
Thus, the required value of the expression x·y·z is -3/4.
Learn more about the fraction here:
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Help mee!! please! thank youu!
Answer:
yes, your friend is correct
Step-by-step explanation:
14 x 4 = 56 and 25 x 4 = 100
56
------ = 0.56 in decimal form
100
Solve y = x + 8 for x.
A. x = y + 8
B. x=y - 8
C. x= -y + 8
D. x= -y - 8
Find all missing angles
I need help please
Answer:
1) 34º
2) 52º
3) 56º
4) 94º
Step-by-step explanation:
let 3 be x
let 1 be y
let 2 be z
let 4 be j
180=86+38+x 56=x
90=56+y 34=y
180=86+j 94=j
180=34+z+94 52=z
Factorize the expression
X³-2x²-5x+6
Answer:
(x-1) (x-3) (x+2)
Step-by-step explanation:
I hope this helps!
Helen is planning to got to the grocery store to buy eggs for her bagel shop. if each carton of eggs contains 12 eggs, how many cartons must she buy to obtain 40 eggs
if u help me ill give u brainliest just fill in the blank
Answer:
I'm not doing this to steal points, but I can't see the painting. So yeah, sorry. Plese insert a image of that painting next time. Sorry.
Step-by-step explanation:
Answer:
agreed can't see the whole problem
Step-by-step explanation:
AKA the painting
Help on Inscribed Angles with work pls I’m struggling so hard
Answer:
Step-by-step explanation:
∠VWX = 92° so arc length VKX is twice that at 184°
subtracting arc angle VK means arc angle KX = 184 - 42 = 142°
This means that arc angle WVK is 360 - 102 - 142 = 116°
So unknown ∠WXK is half of that at 116 / 2 = 58°
A jet travels 4680 miles against the wind in eight hours and 5720 miles in the wind in the same amount of time what is the rate of the jet in still air and what is the rate of the wind
9514 1404 393
Answer:
jet: 650 mphwind: 65 mphStep-by-step explanation:
The speed against the wind is ...
4680 mi/(8 h) = 585 mi/h
The speed with the wind is ...
5720 mi/(8 h) = 715 mi/h
The speed of the airplane in still air is the average of these speeds:
(585 +715)/2 = 650 mi/h . . . speed in still air
The speed of the wind is the difference between the airplane speed and the speed in the wind:
715 -650 = 65 mi/h . . . speed of the wind
_____
Additional comment
If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...
p + a = with
p - a = against
If we average these, we get ...
((p +a) +(p -a))/2 = (with + against)/2
p = (with + against)/2 . . . . . . . the formula we used above
what expression is equivalent to 5x(2-3x)+4(2-3x)+2-3x
Answer:
5x + 10 - 15x²
Step-by-step explanation:
5x(2 - 3x) + 4(2 - 3x) + 2 - 3x
=> 10x - 15x² + 8 - 12x + 2 - 3x
=> -5x + 10 - 15x²
This is our expression that is simplified. Hoped this helped.
Does anyone know this?
Answer:
7sqrt2
Step-by-step explanation:
If angle K is 45 degrees then angle L will be 45 degrees
This means LM and KM will be the same length
Using pythagoras theorem you get KL =7sqrt2
Sarah and Ella were selling boxes of chocolates to raise money for a trip. Sarah sold 5 boxes of chocolates for every 3 boxes Ella sold. Together they sold 160 boxes of chocolates. How many boxes of chocolates did EACH of them sell?
Answer:
Ella sold 100 boxes, and Sarah sold 60 boxes
Step-by-step explanation:
Variables:
Let s be sarah
Let e be ella
Equations:
3e = 5s
s + e = 160 ⇒ s = 160 - e
Work:
3e = 5(160 - e)
3e = 800 - 5e
+5e +5e
8e = 800
e = 100
Ella sold 100 boxes of chocolates.
3(100) = 5s
5s = 300
*divide both sides of the equal sign by 5
s = 60
Sarah sold 60 boxes
PLEASE HELP
Question 6 - Points
Nov 03, 5:49:56 PM
In the diagram below, ZPNO = ZPQR. Solve for z. Round your answer to the
nearest tenth if necessary.
Answer: 2
Submit Answer
Answer:
Step-by-step explanation:
13.3 + 6.7 = 20
[tex]\frac{13.3}{20} = \frac{x}{x + 10} \\\\ 20x = 13.3(x + 10) \\\ 20x = 13.3x + 133 \\\ 20x - 13.3x = 133 \\\ 6.7x = 133 \\\ x = \frac{133}{6.7} \\\\ x ≈ 19.85 \\\ x ≈ 20[/tex]
I hope I've helped you.
The perimeter of a square is 44 inches. Find the length of one side
Answer:
11
Step-by-step explanation:
While I square, all the sides of square are the same side, right on the same length. So therefore, um, one side of the square must be equal to well 44 divided by four because they're all the same length. So therefore, one side of the square is just 44 divided by four, which is 11.
Graph the line with slope 2/5 and y-intercept -5.
Answer:
The answer is the image I put.
Step-by-step explanation:
The equation is y=mx+b
m=slope
b=y-intercept
So, the equation is y=2/5x+-5, which i graphed for u
Hope this helps! Plz give brainliest!
The Graph of the line with slope 2/5 and y-intercept -5 is attached below.
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
We are asked to Graph the line with slope 2/5 and y-intercept -5.
The equation is y=mx+b
m=slope
b = y-intercept
Therefore, the equation is y=2/5x+-5
Hence, The Graph of the line with slope 2/5 and y-intercept -5 is attached below.
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Which sentence should Reese add after sentence 18 to provide additional support for the inference in sentence 19?
A)
It would be a good idea to get rid of these bad proteins.
B)
Another type of protein is important to building strong muscles.
C)
Alzheimer's is a disease that is heavily researched
D
Some of these same proteins appear in the waste products of brain cells
Answer:
D. Some of these same protein appear in the waste products of brain cells
Step-by-step explanation:
Sentence 18 is talking about the proteins, that are common in alzheimers as well. Then sentence 19 talks about getting rid of the waste.
Option D is the correct choice because it talks more about the specific proteins and why they can be bad and provides additional support for sentence 19 talking about how to get rid of the waste that these proteins appear in.
Hope this helps!
Answer:
D
Step-by-step explanation:
just took test and got a 100
Which of the following equations is equivalent to 3/5=12/x-2?
How do the measurements that you recorded verify that EF is the perpendicular bisector of AB?
Find the unknown value.
Answer:
30
Step-by-step explanation:
A simple way to find an unknown value in an equality with fractions is to cross-multiply:
How to cross-multiply:
1. Multiply the first numerator by the second denominator (or vise versa).
2. Multiply the second numerator by the first denominator(or vise versa).
3. Put these values into an equation, making them equal to one another.
4. Find the unknown value by solving the equation.
Now, using your problem, I will take you through the steps of cross-multiplying:
(The unknown value will be written as a variable x.)
(1.) 15 × 10 = 150
(2.) 5 × x = 5x
(3.) 5x = 150
Divide both sides of the equation by 5 to find the exact value of x.
[tex]\frac{5x}{5}[/tex] = [tex]\frac{150}{5}[/tex]
After dividing, the equation will show x = 30, which is the unknown value.
___________
[tex] \: [/tex]
[tex] \frac{15}{ \boxed{}} = \frac{5}{10} [/tex]
[tex] \frac{15}{x} = \frac{5}{10} [/tex]
[tex]x = \frac{15 \times 10}{5} [/tex]
[tex]x = \frac{150}{5} [/tex]
x = 30
PLEASE HELP ME ILL MARK BRAINLIEST !!!!! spam reported
Answer:
Step-by-step explanation:
Year on is 480 dollars and year two is 960 dollars
9514 1404 393
Answer:
(a) $3480
(b) $4036.80
Step-by-step explanation:
(a) The amount due on the loan at the end of 1 year is ...
$3000×(1 +16%) = 1.16×$3000 = $3480
__
(b) The same multiplier applies to the loan value for the second year. The amount due at the end of year 2 is ...
1.16×$3480 = $4036.80
write an equation of the line that passes through the given points (-1,5) and (4,0)
Answer:
y= -x + 4
Step-by-step explanation:
[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:5\right)\mathrm{,\:}\left(4,\:0\right)[/tex]
In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the slope of this line positive or negative? How do you know? •What is the y-intercept of this line? How did you find it? •What is the slope of this line? How did you find it?
Answer:
positive slope
(0,3)
slope = 2
Step-by-step explanation:
Slope of the given line is positive If the line is sloping upward from left to right, so the slope is positive (+).or if the angle made by the line to the x axis is < 90 it's slope is positive.
y-intercept of the line is (0,3)The y intercept is the point where the line crosses the y axis. At this point x = 0.slope of the line is 2slope = (y2 - y1) / (x2 - x1)lines passing through points (1,5) (0,3)
slope = (3 - 5) / (0 - 1)
= -2 / -1 = 2
- The line is positive because it is going upwards from the bottom left to the top right
- The y-intercept is positive 3
- It can be found by seeing where the line intercepts the y-axis when x = 0
- Written as a coordinate point of (0, 3)
- The slope of the line is 2
- It can be found by using "rise over run" which is the change in y divided by the change in x
The measure of angle H in degrees is?
Answer:
m ∠H = 106°
Step-by-step explanation:
Sum of the angles in a triangle = 180
41° + 33° + ∠H = 180°
74° + m ∠H = 180°
m ∠H = 106°
What is the slope of any line that is perpendicular to the line = y - 5 = 3/2 * (x + 1)
Answer:
-2/3
Step-by-step explanation:
What is the solution for 1+1.
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
to arrange the seating at tables. Ms. Ramirez likes to have the
same number of party guests seated at each table.
For each number of guests below, use factors to determine
all the ways Ms. Ramirez can arrange tables and chairs to
have the same number of guests at each table. You do not
have to include the factor 1 and the number itself.
1. 24 guests
Answer:
(tables, chairs) = {(2, 12), (3, 8), (4, 6), (6, 4), (8, 3), (12, 2)}
Step-by-step explanation:
Divisors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Each of these (except 1 and 24) can be a number of tables:
2 tables, 12 chairs each
3 tables, 8 chairs each
4 tables, 6 chairs each
6 tables, 4 chairs each
8 tables, 3 chairs each
12 tables, 2 chairs each