PLEASE HELP!!! PLEASE!!!
What is my average speed if I travel x mph for t hrs and then y mph for t hrs?
Thanks!
Answers
Answer:
Average speed = [tex]\frac{(x+y)}{2}[/tex] miles per hour
Step-by-step explanation:
Formula to calculate the average speed of an object is,
Average speed = [tex]\frac{\text{Total distance covered}}{\text{Time taken to cover this distance}}[/tex]
If I travel with the speed of x mph for t hours,
Total distance covered = Speed × Time
= [tex]x\times t[/tex]
= [tex]xt[/tex] miles
Similarly, if I travel with the speed y mph for t hours,
Total distance covered = [tex]yt[/tex] miles
Total distance covered by me = [tex](xt+yt)[/tex] miles
Total time taken to cover this distance = [tex]t+t[/tex]
= [tex]2t[/tex] hours
Therefore, expression for the average speed will be,
Average speed = [tex]\frac{xt+yt}{2t}[/tex]
= [tex]\frac{(x+y)t}{2t}[/tex]
= [tex]\frac{x+y}{2}[/tex] miles per hour
Related Questions
Help me with this....After drawing a histogram....How do u find the class in which the median lies in a histogram....
Answers
Answer:
Get all the values of the histogram and put them in order:
For example 2,5,7,1,7,3 becomes 1,2,3,5,7,7 and then you get the middle number, which is in this case (3+5)/2=3.5
Then see which of the readings lie on 3.5.
Step-by-step explanation:
9514 1404 393
Explanation:
The histogram will have a count associated with each class. You may have to read the count from the vertical scale of the graph. If it is a histogram of relative frequencies, each class will have a fraction or percentage instead of a count.
Find the total of all counts. Determine what half that number is. If the total is odd, then round up to the nearest integer. This is the index number of the median value.
Add up the counts in the classes starting at one side of the graph, working toward the other side. (Left-to-right is the usual direction for doing this.) When you find the class that increases the total to a value equal or greater than the index number, this is the class that contains the median.
__
If the histogram is a relative frequency histogram, the class that brings the total to 50% is the one containing the median.
__
There may be cases where the total count is even, and the total of all of the classes up to a point is exactly equal to the index number you're looking for. In that case, the median is between that class and the next. Here's an example:
class 1: count 3
class 2: count 5
class 3: count 4
class 4: count 4
Total count: 3+5+4+4 = 16. Median index = 16/2 = 8
Total of classes 1 and 2 = 3+5 = 8. This means exactly half of the represented values are in class 2 or below, and half are in class 3 or above. If you had access to the actual data values, you would find the median as the average of the 8th and 9th data values (when they are sorted into increasing order). Here, the median might be estimated as the value halfway between the upper bound of class 2 and the lower bound of class 3.
__
2nd example
Consider the same histogram as above, but with a count of 3 in class 4. This brings the total count to 15, and the index of the median is 15/2 = 7.5, rounds to 8. Again, the 8th data value (median) is in class 2. There is no ambiguity in this case.
When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than One-third the total number of guests. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Answers
Answer:
It's d or the 4th graph
Step-by-step explanation:
A graph which represents the overall equation (inequality) represented by this scenario.
What is a graph?A graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).
Let the variable x represent the total number of guests.
Let the variable y represent the amount of meat
Next, we would write an inequality that represents an amount of meat that must be 2 pounds fewer than one-third (1/3) the total number of guests. Since the customer decides they want at least that amount of meat, the inequality symbol that must be used is greater than (>).
y > 1/3(x) + 2
y > x/3 + 2
In conclusion, the y-value for this inequality graph (see attachment) intersects the x-axis at 0 and 6 with the boundary line shaded upward and dashed to indicate that it is not part of the solution, which must be represented with a greater than (>) inequality symbol.
Read more on graph here:
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CAN SB HELP ME !! Use the image and your knowledge of the isosceles triangle to find the value of x
Answers
Answer:
x = 41 degrees
Step-by-step explanation:
Since two of the sides are shown as being congruent, the base angles are the same. We are given the top angle, which is 98 degrees. All the angles of a triangle add up to 180. We can subtract 98 from 180, giving us 82, and divide that by two (since the base angles are congruent), giving us a measure of 41 degrees for each of the bottom angles of the isosceles triangle.
Find the circumference of this circle
using 3 for TT.
C = ?
Answers
[tex]{ \bf{ \underbrace{Given}}}[/tex]:
Diameter of the circle "[tex]d[/tex]" = [tex]36[/tex]
Value of [tex]π[/tex] = [tex]3[/tex]
[tex]{ \bf{ \underbrace{To\:find}}}[/tex]:
The circumference "[tex]C[/tex]" of the circle.
[tex]{ \bf{ \underbrace{Solution }}}[/tex]:
[tex]\sf\pink{The\:circumference \:"C"\:of\:the\:circle\:is\:108.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]
[tex] = 3 \times 36[/tex]
[tex] = 108[/tex]
Therefore, the circumference of the circle is [tex]108[/tex].
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Answer:
[tex]\Longrightarrow: \boxed{\sf{108}}[/tex]
Step-by-step explanation:
Apply the formula for the circle's circumference.
[tex]\text{Circumference circle formula:}[/tex]
[tex]\Longrightarrow: \sf{C=\pi d}[/tex]
[tex]\Longrightarrow:\sf{C=?}\\\\\Longrightarrow:\sf{\pi =3}\\\\\Longrightarrow:\sf{d=36}[/tex]
Multiply.
[tex]\sf{3*36=\boxed{\sf{108}}[/tex]
Therefore, the correct answer is 108.I hope this helps! Let me know if you have any questions.
help can you please help question a b and c
(with the working out)
Answers
Answer:
a) 12 'o' clock, b) 30 minutes c) you can do it your answer may differ
Step-by-step explanation:
a) look closely you will see it is 24 hours format, so it is proved she starts going to town at that that time
b) look you there is a downward movement of graph means it shows she is not travelling she is resting done let after 1500 or 3:00pm and before 1600 or 4:00pm point be 3:30 so till 3:30 to 4:00 rested in town
c) answer may differ
pls thank me and mark brainliest if you can
Nimo traveled 1 kilometer in the time of 100 units. He then took a break for 50 units and traveled half of a kilometer over the time of 100 units and took a break for another 100 units. He then traveled back home in 50 units.
**Does anybody knows how to do it***
instructions: state what additional information is required in order to know that the triangle are congruent for the given reason.
Given: ASA
Answers
With ASA, we need two angles and an included side. An included side is one that is between the two angles.
But, we need to make sure the sides match up. So, triangle KJI is congruent to triangle ZYX.
Therefore, we need to know that side JI is congruent to YX.
Hope this helps!
Pls solve last question pls pls
Answers
Answer:
i don't know how to work this
Answer:
x = [tex]\frac{3}{4}[/tex] , x = 20
Step-by-step explanation:
2([tex]\frac{3x-5}{x+2}[/tex] ) - 5 ([tex]\frac{x+2}{3x-5}[/tex] ) = 3
Multiply through by (x + 2)(3x - 5) to eliminate the fractions
2(3x - 5)² - 5(x + 2)² = 3(x + 2)(3x - 5) ← expand factors on both sides
2(9x² - 30x + 25) - 5(x² + 4x + 4) = 3(3x² + x - 10) ← distribute parenthesis
18x² - 60x + 50 - 5x² - 20x - 20 = 9x² + 3x - 30 ← simplify left side
13x² - 80x + 30 = 9x² + 3x - 30 ( subtract 9x² + 3x - 30 from both sides )
4x² - 83x + 60 = 0 factor by splitting the x- term
4x² - 80x - 3x + 60 = 0
4x(x - 20) - 3(x - 20) = 0
(4x - 3)(x - 20) = 0
Equate each factor to zero and solve for x
4x - 3 = 0 ⇒ 4x = 3 ⇒ x = [tex]\frac{3}{4}[/tex]
x - 20 = 0 ⇒ x = 20
You and your friend are playing a game by tosing two coins land on different sides your friend wins the table shows the possible outcome? Is this a fair game
Answers
These dot plots show the weights (in kilograms) from a sample of leopards
and tigers.
Leopards
000
0000+
000000
00018
00
20
40
60
80
160
180
200
220
100 120 140
Weight (kg)
Tigers
000
2000
000000
2000
ooe
O
20
40
60
80
160
180
200
220
100 120 140
Weight (kg)
What are the differences between the centers and spreads of these
distributions?
Select two choices: one for the centers and one for the spreads.
No
Answers
Answer: A.Spreads: The weights of the tigers are more spread out.
B.Centers:The leopards have a lower median weight than the tigers
Step-by-step explanation:
On analyzing the dot plots, we find that the weight of Leopards are more spread out and the weight of Leopards has a lower median than Tiger.
What is median?Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.
Median of Weight of Leopard = 50 kg
Median of Weight of Tiger = 125 kg
This implies that the Leopards have a lower median weight than Tigers.
What is spread of data?
Spread describes the variation of the data. One of the measures of spread is range.
Range of weight of Leopards= 40 kg
Range of weight of Tigers = 90 kg
This implies that the weight of Tigers are more spread out.
Learn more about median here
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How many 2/3 are in 4 use the tape diagram
Answers
Can someone help with both questions 19 & 20
Answers
Answer:
19.
h=0, the result is 1000×2⁰ = 1000
this is the population of bacteria the excitement started with at the very beginning.
h=-3, the result is 1000×2-³ = 1000/(2³) = 1000/8 = 125
this is a calculation 3 hours backwards from the very start of the experiment, saying that if we started the experiment 3 hours earlier, this would have had to be the starting population of the bacteria so we would arrive at the same amount of population at any given time (value of h).
20.
D 25x⁶
Step-by-step explanation:
for 19 there is not more explanation. it is all ashtray in the answer.
for 20 we see that we are dealing with a square, so ask 4 sides have the same length.
one side is 5x³.
the area of a square is simply side².
so, here (5x³)² = 25x⁶
Could someone please help me with this question? Thanks.
Answers
Answer:
Step-by-step explanation:
MM oute le iloa
7. Give an example of a polynomial with a degree of 3.
Answers
[tex]\large{\textrm{{{\color{navy}{ax³ + bx² + cx + d}}}}}[/tex]
It is a cubic polynomial.This cubic polynomial has 3 zeros.Find a solution to the following system of equations –5x + 2y = 9 3x + 5y = 7
Answers
Answer: (-1, 2)
Step-by-step explanation:
Let's start by solving for x in
[tex]-5x+2y=9\\-5x+2y+-2y=9+-2y\\-5x=9+-2y\\\frac{-5x}{-5} =\frac{9+-2y}{-5} \\x=\frac{2}{5} y+\frac{-9}{5}[/tex]
We can now sub this value of x in 3x+5y=7 and solve
[tex]3x+5y=7\\3(\frac{2}{5} y+\frac{-9}{5})+5y=7\\(3)(\frac{2}{5} y)+(3)(\frac{-9}{5})+5y=7\\\frac{6}{5} y+\frac{-27}{5}+5y=7\\\frac{6}{5} y+\frac{25}{5}y +\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}+\frac{27}{5}=7+\frac{27}{5}\\\frac{31}{5} y=\frac{62}{5} \\\frac{\frac{31}{5} y}{\frac{31}{5}} =\frac{\frac{62}{5} }{\frac{31}{5}} \\y=2[/tex]
Now we can sub in 2 for y in one of the equations
[tex]3x+5(2)=7\\3x+10=7\\3x+10-10=7-10\\3x=-3\\\frac{3x}{3} =\frac{-3}{3} \\x=-1[/tex]
x=-1 and y=2 giving us the point (-1, 2)
The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.
a
length = 18 cm; width = 5 cm
b
length = 5 cm; width = 18 cm
c
length = 13 cm; width = 5 cm
d
length = 13 cm; width = 8 cm
Answers
Answer:
a.
Step-by-step explanation:
What is the equation of the line that passes through the given point and is perpendicular to the given line?
Point: (1,1)
Line: y=15x+45
Answers
Answer:
y= -1/15x + 16/15
Step-by-step explanation:
When two lines are perpendicular to each other that means their slopes are the negative reciprocals of each other.
So that means if a line has has a slope of 6, a line perpendicular to that line will have a slope of -1/6.
(a reciprocal is when the fraction is flipped over)
In this case, the negative reciprocal of 15 would be -1/15. So the slope of the line that is perpendicular would be -1/15.
The equation we would have so far for that line would be: y=-1/15x+b
Now we have to find the 'b' or the y intercept, which we can get by plugging in the point that was given (1,1), which is on that line.
Which gives us 1=-1/15(1)+b.
1=-1/15+b
1+1/15=b
Then you solve for b and get b= 16/15.
The equation of the line that is perpendicular to the given line is y= -1/15x + 16/15.
The equation of the line that passes through the point (1, 1) and is perpendicular to y = 15x + 45 is
y = 15x - 14.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Let the equation of a line is y = mx + c.
The line is perpendicular to y = 15x + 45.
y = 15x + 45 is in the form of y = mx + c
This means,
Slope = 15
m = 15
The line passes through the point (1, 1) = (x, y).
This means,
y = mx + c
1 = 15 x 1 + c
1 = 15 + c
c = 1 - 15
c = -14
The equation of the line is y = 15x - 14.
Thus,
The equation of the line that passes through the point (1, 1) and is perpendicular to y = 15x + 45 is
y = 15x - 14.
Learn more about equation of a line here:
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For each calculation choose the correct answer written in standard form.
a) (7 * 10°) ~ (3 x 10?)
A
B
21 x 100 21 x 10
С
2.1 x 10"
D
2.1 x 10
b) (2 x 10°) = (4 x 102)
A
2 x 10
B
5 x 10
с
0.5 x 10
D
2 x 10
Answers
Answer:
Both the answers will be B
What is the answer to this? Also, please provide an explanation.
Answers
Answer:
3 to the power of 4 equals 81 times 3 equals 243
Step-by-step explanation:
The mean of 6 numbers is 8.
The numbers are in the ratio 1 : 1 : 2 : 2 : 3 : 3.
Find the median.
Answers
Answer: 8
Step-by-step explanation:
Given
Mean of the numbers is 8
If the ratio is 1:1:2:2:3:3
Suppose the numbers are [tex]x, x, 2x, 2x, 3x, 3x[/tex]
Write the mean of the numbers
[tex]\Rightarrow \dfrac{x+x+2x+2x+3x+3x}{6}=8\\\\\Rightarrow \dfrac{12x}{6}=8\\\\\Rightarrow x=4[/tex]
So, the numbers are [tex]4, 4, 8,8 ,12,12[/tex]
As the total numbers are even, median is the sum of the middle values
[tex]\Rightarrow \text{Median=}\dfrac{8+8}{2}\\\\\Rightarrow \text{Median=}8[/tex]
Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them. What is the approximate value for the y-coordinate? y Almost-equals –1.1 y Almost-equals –1.4 y Almost-equals –1.8 y Almost-equals –1.9
Answers
Answer:
The answer is "[tex]y\approx 1.4[/tex]".
Step-by-step explanation:
In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.
Answer:
b
Step-by-step explanation:
Which must be true of a quadratic function whose vertex is the same as its y-intercept?
Answers
Answer:
A
Step-by-step explanation:
because y-intercept is when x=0, so right on the y axis.
Help and explain pls and thankyouuu
Answers
Answer: (1, 8)
Step-by-step explanation:
Substitute y = 3x + 5 into the equation 2x + 3y = 26:
2x + 3(3x + 5) = 26
2x + 9x + 15 = 26
11x = 26 - 15
11x = 11
x = 1
Substitute the value of x into the equation y = 3x + 5:
y = 3(1) + 5 = 3 + 5 = 8
The graph shows a proportional relationship. Which equation matches the
graph?
10
14
12
10
8
6
4
2
10
2
14
4
8
10 12
O A. y = x
O B. y = 2
O C. y = 50
O D. 9=152
Answers
Answer:
C.
Step-by-step explanation:
i guess it's letter c. y=50
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
Answers
Answer:
Range D = {-7, 1, 9, 17}
Step-by-step explanation:
f(x) = 4x + 9
4(-4) + 9 = -7
4(-2) + 9 = 1
4(0) + 9 = 9
4(2) + 9 = 17
The side lengths of a triangle are 12,^149,^5. Is the triangle a right triangle?
PLEASE THE TEST IS DUE IN 10 MINE
Answers
Answer:
no
Step-by-step explanation:
12 squared plus 5 squared=169
Which arc is a minor arc?
A)SQ
B)PSR
C)PS
D)SO
Answers
Answer:
Answer: The arc PS would be a minor arc · Step-by-step explanation: As a minor arc is one that is less that 180 degrees, it would be the only viable ...
. If R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5} is a relation. Then find the domain and range of R1.
Answers
Answer:
Domain is [-5, 5]
Range is [-3, 17]
Step-by-step explanation:
R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5}
The domain is given by the all possible input values of x . Here the function is defined for -5 ≤ x ≤ 5, so the domain is [ - 5, 5].
The range is given by the output values of he function.
When x = - 5
f (- 5) = 2 (-5 ) + 7 = - 3
When x = 5
f (5) = 2 (5) + 7 = 17
So, the range is [ -3 , 17].
18x-108
-----------
6x-54
simplify the expression
A.
B.
C.
D.
Answers
Answer:
3x-2
---------
x-1
Step-by-step explanation:
simplify 18x/6x = 3x/1x
simplify 108/54 = 2/1
A man invests $ 16800 in savings plan that pays simple interest at a rate of 5% per annum. Find the Tim’s taken for his investment to grow to $18900
Answers
Answer:
2.5 years
Step-by-step explanation:
The given amount invested, which is the principal, P = $16,800
The simple interest rate, R = 5% per annum
The intended total value of the investment, A = $18,900
The simple interest on the principal, I = A - P
∴ I = $18,900 - $16,800 = $2,100
The formula for the simple interest, I, is given as follows;
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Therefore, we have;
[tex]T = \dfrac{I \times 100}{P \times R}[/tex]
Plugging in the values, gives;
[tex]T = \dfrac{2,100 \times 100}{16,800 \times 5} =2.5[/tex]
The time it will take the investment to grow to $18,900 is T = 2.5 years
(A) Given that the expression x^3-ax^2+bx+c leaves the same remainder when divided by x+1 or x-2, find a in term of b.
(B) (2x-1)^3+6(3+4x^2) is divided by 2x+1.
Answer those two question please. I need it quickly. No silly answers would not be allowded.
Answers
Hello,
A:
[tex]\begin{array}{c|ccc|c}&x^3&x^2&x&1\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&-a-b+c-1\\\end{array}\\\\\\\begin{array}{c|ccc|c}&x^3&x^2&x&1\\&1&-a&b&c\\x=2&&2&-2a+4&-4a+2b+8\\---&---&---&---&---\\&1&-a+2&-2a+b+4&-4a+2b+c+8\\\end{array}\\\\\\\\-a-b+c-1=-4a+2b+c+8\\\\\boxed{b=a-3}\\[/tex]
B:
[tex](2x-1)^3+6(3+4x^2)\\\\=8x^3-12x^2+6x-1+18+24x^2\\\\=8x^3+12x^2+6x+17\\\\\\\begin{array}{c|ccc|c}&x^3&x^2&x&1\\&8&12&6&17\\x=-\dfrac{1}{2} &&-4&-4&-1\\---&---&---&---&---\\&8&8&2&16\\\end{array}\\\\\\(2x-1)^3+6(3+4x^2)=(2x+1)(4x^2+4x+1)+16[/tex]
