For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip. If srepresents Lina's
speed during the first part of her trip, which expressions represent the total time of her trip in hours?
( The picture are the answer choices!!!)
Answers
Answer:
Option (5)
Step-by-step explanation:
Lina's speed during the first part of the trip = s miles per hour
If she travels initial 80 miles on this trip with this speed, time taken to cover the distance [tex]t_1=\frac{\text{Distance}}{\text{Speed}}=\frac{80}{s}[/tex] hours
Now speed at which she traveled remaining 50 miles = (s + 10) miles per hour
So the time spent to cover this distance [tex]t_2=\frac{50}{s+10}[/tex] hours
Total time for the complete trip = [tex]t_1+t_2[/tex] = [tex]\frac{80}{s}+\frac{50}{s+10}[/tex]
= [tex]\frac{80(s+10)+50s}{s(s+10)}[/tex]
= [tex]\frac{80s+800+50s}{s(s+10)}[/tex]
= [tex]\frac{130s+800}{s(s+10)}[/tex]
Therefore, Option (5) will be the answer.
Option C is correct. The expressions that represent the total time of her trip in hours is [tex]t_1 + t_2 = \frac{80}{s} +\frac{50}{s+10} \\[/tex]
Let the speed travelled during the first part of the trip be "s"
The formula for calculating the distance is expressed as:
[tex]distance=speed\times time[/tex]
For the first part of the journey:
distance = 80miles
time = t₁
Speed = s
Substitute the given parameters into the formula:
[tex]80 = st_1\\t_1=\frac{80}{s}[/tex]........................................... 1
For the second part of the trip;
Distance travelled = 5 miles
speed = s + 10 (10miles/hour faster than the first part of the trip)
time = t₂
Get the time t₂
[tex]50=(s+10)t_2\\t_2=\frac{50}{s+10}[/tex]
Adding both times taken to get the total time of her trip in hours.
[tex]t_1 + t_2 = \frac{80}{s} +\frac{50}{s+10} \\[/tex]
Hence the expression that represent the total time of her trip in hours is [tex]t_1 + t_2 = \frac{80}{s} +\frac{50}{s+10} \\[/tex]
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Related Questions
Can someone find The volume of the shaded portion of the cylinder??????????????????????? I have attached the picture
Answers
Step-by-step explanation:
Area of circle = πr², π = 22/7 or 355/133. Here it is said to use '3.14'. I will use the same.
Volume = cross-section area * height
Cross-section area of bigger one = π(3m)²
Volume = π(3m)² * height
= 9π * 5 m³ = 45π m³
Cross-section area of smaller one= π(1m)²
Volume = π(1m)² * height
= π * 5 m³ = 5π m³
Since a large part(cylinder of 1 m is not here):
Required volume = total volume - volume of smaller circle(cylinder)
= 45π - 5π m³
= 40π m³ = 40(3.14) m³
= 125.6 m³
Help pls pls pls plssss
Answers
Answer:
3/8
Step-by-step explanation:
2 1/8 - 1 3/4
2 1/8 - 1 6/8
17/8 - 14/8
3/8
what are the set? explain in details.
Answers
set is the collection of well defined object having some common property
please fOllow me
Find the sum of: 4 1/4+5.5
Answers
Answer:
9.75 or 9 3/4
Step-by-step explanation:
4 1/4 can be written as 4.25
4.25+5.5 = 9.75
if you want the fraction you can convert 9.75 to a fraction
9.75= 9 3/4
Now you have your answer 9.75 or 9 3/4
If PQ = 20 and QR = 22, then find the length of PR.
Answers
Answer: 44
Step-by-step explanation: I'm assuming P is on the left most side and R is on the right most side. The two segments of the line adds up to the entire line so it would be PQ(20)+QR(22)=PR(44)
...umm... it's the screenshot dat be all... ... ... ... .. .
Answers
Answer: she would be 19 years old right now.
Step-by-step explanation:
14 years plus another 5 equals 19 years.
whoever answers i will have u brainlist:)
Answers
Answer:
your answer should be ty
Step-by-step explanation:
4. What is the value of |–19|?
Answers
Answer:
Absolute value;
The non-negative value of x(in your case -19) without regard to its sign.
Basically how far in distance x(in your case -19) is away from 0.
|–19| = 19
Answer:
19
Step-by-step explanation:
Given the following question:
When dealing with absolute value we need to understand that all negatives in between "| |" are changed into positives. See absolute value (| |) as if its a car wash, and negatives are dirty cars.
In this case...
[tex]|-19 |[/tex]
[tex]|-19 |=19[/tex]
[tex]=19[/tex]
Hope this helps.
You and two friends are
playing hockey. You make 8
out of 15 shots. Your first
friend makes 7 out of 10 shots
and your second friend makes
6 out of 12 shots. Who is the
better shooter?
Answers
Answer:
the first friend
Step-by-step explanation:
your percentage is 8/15 = 53.3%
your first friend's percentage is 7/10 = 70%
your second friend percentage is 6/12 = 50%
A regular triangle rotated about its center by 360 degrees maps onto itself at
different angles of rotation.
Answers
Answer:
there is a lot of different rotations
Step-by-step explanation:
and multiple of 360 and could go infinitely while 90, 180, 270 degrees will not work.
A basketball team raises money for a local charity by selling hats and T-shirt’s to community memebers if the team charges 10$ for each hat and 15 for each t shirt which equation represents how many hats x and t shirts y need to be sold for the basketball team to raise a total of 3,050
Answers
The equation that represents the basketball team raising money is a linear equation
The equation that represents the total amount raised is 10x + 15y = 3050
How to determine the equationFrom the question, we have the following parameters
x represents the number of hatsy represents the number of t shirtsEach hat (x) is sold for $10Each shirt (y) is sold for 15A linear equation is represented as;
Ax + By = C
So, the equation that represents the total amount raised would be 10x + 15y = 3050
Hence, the equation that represents the total amount raised is 10x + 15y = 3050
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Can some one help me with this step by step with the answer as well?
Answers
Answer:
There isn't enough information to answer the question
Step-by-step explanation:
ANSWER QUICKLY PLZZZZZZ ASAP
READ QUESTIONS CAREFULLY
ONLY ANSWER IF YOU KNOW
Answers
Answer:
107.25 metres.
Step-by-step explanation:
diameter of circle = 150m,
so,
radius = 75 m
perimeter of semi circle
= pi × r
= 3.14 × 75
= 235.5 m
perimeter of rectangle
= 2 × (l+b)
= 2 × (150 + 75)
= 450 m
perimeter of shaded region
= perimeter of rectangle - perimeter of semi circle/2
= 450 - 235.5/2
=107.25 metres
The midpoints of a GH is M(5, 7). One endpoint is H(12, -9). Find the coordinates of endpoint G. Find the distance between the endpoints GH.
Answers
Answer:
Step-by-step explanation:
(x+12/2,y-9/2)=(5,7)
x+12=10,y-9=14
x=-2,y=23
The coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
The midpoint of a GH is M(5, 7). One endpoint is H(12, -9).
The coordinates of endpoint G (x, y)
Using mid-point theorem:
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
(x + 12)/2 = 5
x + 12 = 10
x = 10 - 12
x = -2
(y -9)/2 = 7
y - 9 = 14
y = 14 + 9
y = 23
Thus, the coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).
Learn more about the order double here:
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#SPJ2
-. Find the slope of a line that passes through the points (2, -7) and (1,6)
Answers
Answer: -13
Step-by-step explanation:
slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{6-(-7)}{1-2}[/tex]
= [tex]\frac{6+7}{1-2}[/tex]
= -13
5. If the measure of angle 4 is 135 degrees, what is the measure
of angle 5?
Answers
Answer:
Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?
If the measure of an angle is 135°,
then the measure of its supplement is 45°.
We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°
Translate the graph of f(x) up 2 units..
Answers
Answer:
Step-by-step explanation:
x+6/2 + 5−4x/3 − 8−x/6 =0
Answers
Answer:
x = 0
Step-by-step explanation:
x+\frac{6}{2}+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0
x+3+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0
x+3+5-\frac{4x}{3}-8-\frac{x}{6}=0
x-\frac{4x}{3}-\frac{x}{6}+3+5-8=0
x-\frac{4x}{3}-\frac{x}{6}=0
x\cdot \:6-\frac{4x}{3}\cdot \:6-\frac{x}{6}\cdot \:6=0\cdot \:6
6x-8x-x=0
-3x=0
\frac{-3x}{-3}=\frac{0}{-3}
x=0
50 POINTS!!!
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Answer with explanation = Brainliest
Absurd answers = report
Answers
Answer:
A)
Step-by-step explanation:
A systems of equations that are 2 completely separate lines will have 1 solution.
A systems of equations that are the same line will have infinite amount of solutions.
A systems of equation that have parallel lines will have no solution.
We see that B, C, and D are all 2 completely separate lines with their own slope and y-intercept. Therefore, they will have 1 solution.
A is our answer because we see that they have the same slope but different y-intercepts. This means that they are parallel lines and will never intersect each other, thus providing us with no solution.
The smaller triangle is dilated to create the larger triangle. The center
of dilation is plotted, but not labeled.
Answers
Answer:
Point D is the point of dilation.
Step-by-step explanation:
If the smaller triangle A'B'C' is dilated to form a larger triangle ABC by the dilation about point D,
Ratio of the DA and DA' will be equal to the ratio of DB and DB'.
Length of DA = 3 units
Length of DA' = 1 unit
Coordinates of D → (3, 0)
Coordinates of B → (9, 3)
Coordinates of B' → (5, 1)
Use the formula of distance between the two points to find find the length of DB and DB'
Length of DB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(3-0)^2+(9-3)^2}[/tex]
[tex]=\sqrt{45}[/tex]
[tex]=3\sqrt{5}[/tex]
Length of DB' = [tex]\sqrt{(5-3)^2+(1-0)^2}[/tex]
[tex]=\sqrt{5}[/tex]
Ratio of DB and DB' = [tex]\frac{3\sqrt{5} }{\sqrt{5} } =3:1[/tex]
Ratio of DA and DA' = 3 : 1
Since, [tex]\frac{DA}{DA'}=\frac{DB}{DB'}[/tex]
Therefore, smaller triangle is dilated by a scale factor of 3 to form the bigger triangle about the point D.
Cuanto es 0.5 en fracción
Answers
Answer:
5/10
Step-by-step explanation:
Write an equivalent expression by distributing the "-" sign outside the
parentheses:
-(-9c – 5.9d + 7.9)
Answers
Answer:
[tex]9c+5.9d-7.9[/tex]
Step-by-step explanation:
[tex]-\left(-9c-5.9d+7.9\right)[/tex]
[tex]\mathrm{Distribute\:parentheses}[/tex]
[tex]=-\left(-9c\right)-\left(-5.9d\right)-\left(7.9\right)[/tex]
[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]
[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]
[tex]=9c+5.9d-7.9[/tex]
~Learn with Lenvy~
a cube has that measure 7 centimeters each. what is the volume?
Answers
Answer:
Volume = 343 cm³
Step-by-step explanation:
Given :-
Edge measure = 7 cmTo Find :-
VolumeSolving :-
Volume = (edge measure)³Volume = 7³Volume = 7 x 7 x 7Volume = 343 cm³PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answers
Answer:
C
Step-by-step explanation:
Classify the triangle by its angles and sides.
Answers
Answer:
D) Obtuse Scalene this is the answer
express 200085000 in scientific notation
Answers
Answer:
2.00085 * 10^8
Step-by-step explanation:
Rolled oats : chopped peanuts write the indicated ratio.then find and interpret the value of the ratiothe ratio is blank the amount of rolled oats in yhe recipe is blank times the amount of chopped peanuts rolled oats 2 cups and xhopped peanuts 1/2
Answers
Answer:
The ratio of cups of mixed nuts to cups of granola is /First, we need to get the total number of granola cups. This can be done by adding all the components' cups as follows:
number of granola cups = 6 + 2 + 0.5 + 1 + 1 + 0.5
number of granola cups = 11 cups
Now, we are given that:
number of cups of mixed nuts is 2 cups
To get the ratio between the cups of mixed nuts and total granola cups, we will simply divide the two quantities as follows:
Hope this helps :)
Step-by-step explanation:
Granola is a munchable snack that is prepared using various kinds of nuts, seeds, and sometimes a binding agent such as honey is used in the preparation of granola.
In the question above, we are giving the ingredients and quantities which is used in the preparation of granola
6 cups rolled oats, 2 cups mixed nuts, 1 /2 cup sesame seed, 1 cup dried cranberries, 1 cup dried unsweetened coconut, 1 /2 cup honey.
Step 1
We would be adding up the ingredients to find the total number of cups
6 + 2 + + 1 + 1 + = 11 cups
The total number of cups = 11 cups
Step 2
The cups of mixed nuts given in the question = 2 cups
The total number of cups of granola is given = 11 cups
Therefore, the ratio of cups of mixed nuts to cups of granola is 2 : 11
To learn more about this topic, please visit the link below:
https://brainly.in/question/39337633?tbs_match=1
Simplify -|-5 + 2|.
7
3
-7
-3
Answers
Answer:
-3
Step-by-step explanation:
-|-5+2|
-|-3|
=-3
..................
8 cm
3 cm
A
Figures not drawn to scale.
What is the length of side A in centimeters?
1/6
1/2
2
6
Answers
Answer:
6 cm
Step-by-step explanation:
Scale factor = 4/8 = 1/2
A* 1/2 = 3
A = 2*3
A = 6 cm
round 22.5240 to the nearest thasands please help
Answers
Answer:
It is 22.524
Step-by-step explanation: