A jogger ran 13.5 miles in 3 hours.
What is the unit rate?
Answers
Answer:
Unit rate = 4.5 mph.
Step-by-step explanation:
Unit rate: 13.5/3
=> Unit rate: 4.5 mph.
Hoped this helped.
Related Questions
Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
Y=3^x;3^1.2
A. 1;3.7
B. 1;2.9
C. 0;3.9
D. 0;3.5
Answers
Answer: Its A) 1 ; 3.7
Step-by-step explanation:i just took the practice on edge 2020
The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?
Answers
The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively
How to find the percentage of boys in the class?Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class
The given parameters that will help us to get the percentage are
Mean height of the class = 152 cm
Mean height of the boys = 158 cm
The standard deviation of the boys = 5 cm
Mean height of the girls = 148 cm
Standard deviation of the girls = 4 cm
(1) The percentage of boys in the class is
Total mean height = 158 +148 = 306
Percentage = 158/306 * 100 = 51.6%
Then the percentages 51.6/100 * 152 = 78%
(2) The total standard deviation of all the students
Boys + girls = 5+4 = 9 cm
Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively
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Find x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
Answers
From the second equation, we have y = 2 - x.
Substituting this into the first equation, we get:
Sax + b(2 - x) = 0
Expanding this equation, we get:
Sax + 2b - bx = 0
Rearranging the terms, we get:
x(Sa - b) = 2b
Dividing both sides by (Sa - b), we get:
x = 2b/(Sa - b)
Substituting this value of x into the second equation, we get:
2b/(Sa - b) + y = 2
Substituting y = 2 - x, we get:
2b/(Sa - b) + (2 - 2b/(Sa - b)) = 2
Simplifying this equation, we get:
4b/(Sa - b) = 2
Multiplying both sides by (Sa - b)/2, we get:
2b = (Sa - b)
Simplifying this equation, we get:
b = a/2
Substituting this value of b into the equation for x, we get:
x = 2b/(Sa - b) = 2(a/2)/(Sa - a/2) = a/(2S - 1)
Substituting these values of x and y into the given point (x, y) = (a + b), we get:
(a/(2S - 1), 2 - a/(2S - 1)) = (a + a/2, a/2)
Therefore, the solution is:
x = a/(2S - 1) and y = 2 - a/(2S - 1).
a triangle has ___ , ___ and ____ .
Use an appropriate modification of the law of cosines to find the angle in degrees. assign the result to q4.
Answers
A triangle has three sides, three angles, and three vertices (also known as corners).
What is a Triangle?A triangle is a geometric shape that consists of three line segments that connect three non-collinear points.
Each of these line segments is called a side of the triangle. The three points where these sides meet are called the vertices (singular: vertex) of the triangle.
The triangle also has three interior angles formed by its sides. These angles are located inside the triangle, and their sum is always equal to 180 degrees.
In summary, a triangle is defined by its three sides, three angles, and three vertices.
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elena is performing a dive in a diving competition. her height during the dive is approximatelydescribed by the quadratic function below, where x = time in seconds and y = height in metersrelative to the diving board. how long does it take elena to reach the height of the diving boardagain after she starts her dive? (remember that y gives the height above or below the divingboard) Y=5x^2+5x
Answers
Answer:
Y + 7727 + = 999
Step-by-step explanation:
Because elena Is root and she had to jump hope this helps
Answer:
A.
0=-16t²+24t+40
using math
t=-1 or 5/2
can't be negative time
t=5/2
after 2.5 seconds
Step-by-step explanation:
Hope this helps:)
The Blue Ridge Parkway is 469 miles long. The parkway is a road that runs through 29 Virginia and North Carolina counties. Jenny drove 3/5 of the parkway on vacation. How many miles did she drive? Simplify your answer and state it as a mixed number.
Answers
Answer:
281/2/5 miles
Step-by-step explanation:
469/5 = 93.8
93.8x3 = 281.4
= 281/2/5 miles
Please mark as Brainliest, thank you!
The miles did she drive is 281/2/5 miles.
It is required to find the miles did she drive.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
The Blue Ridge Parkway is 469 miles long.
Jenny drove 3/5 of the parkway on vacation.
According to given question we have
The miles did she drive
=469*3/5
= 281/2/5 miles
Therefore, the miles did she drive is 281/2/5 miles.
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Sonja has a bank account balance of $1400. Each week, her balance changes by-$85.25. She wants to keep the balance above
$377
How many weeks will Sonja's balance remain above $377?
Select from the drop-down menu to correctly complete the statement.
Sonja's balance will remain above $377 | Choose
weeks
Answers
Answer:
Fewer than 12
Step-by-step explanation:
I took the K12 6.10 Unit Test: Solving Linear Inequalities.
Answer:
why
Step-by-step explanation:
Find theValue of x
40°
70°
(5x+10)°
Answers
Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.
therefore,\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)
Value of x = 20°
Hey! there . Thanks for your question :)
Answer:
20° is the correct answer.Step-by-step explanation:
In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.
Solution :-
For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :
Step 1: Making equation :
\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)
Solving :
\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)
Step 2: Subtracting 10 on both sides :
\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)
We get ,
\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)
Step 3: Dividing both sides by 5 :
\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)
On cancelling , we get :
\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)
Therefore , value of x is '20°'Verification :-
For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :
40° + 70° = 5(20°) + 10°110° = 100° + 10°110° = 110°L.H.S = R.H.STherefore , our answer is correct .
Hope , it'll help you! :)#\( \underline{ \sf{ \bold{ Keep \: Learning }}}\)The number of books he collects, n, is defined by n = 140 + 21 where d is the number of days he spends collectingRobert is collecting books to donate to the library.books.What does 14 represent in the context of Robert's book collecting?A represents the number of books per day that are collected,® represents the number of books per week that are collected.represents the number of books per month that are collected.o represents the number of books per year that are collected.
Answers
The equation for number of books collected by Robert is given as;
n= 14 d + 21
where d is the number of days he spent collecting .
Answer A. represents the number of books per day that are collected
Which two values are equivalent to 0.6?
1.
6
금
6%
35c
60%
100
Answers
Answer:
i know one is 60%
Step-by-step explanation:
Need to know that the function intervals are increasing or decrease
Answers
..........................................................................................................
-3/7 % -1/2 =??
What is the answer to this equation
Answers
Answer:
-0.21428571428
Can someone tell me how to SOLVE 954 divided by 3 with standard Algorithm not the answer they like problem
Answers
Answer:
318
Step-by-step explanation:
Standard form explanation:
So you would set your equation up, 3 is the divisor which should stay outside, the 954 is the dividend which stays inside. Then we do 9 divided by 3 which is 3, so you need to write 3 on top of the quotient and has to be aligned with the 9 (the hundred's place value). After we done 9/3, under the 9 we need to subtract the 9. That should equal 0. After that the 5 in the ten's place in 954 goes down, you should have 05, we then would need a number that goes into 5 without going over. That number would be 1 because if you did 2 you would go over. So, write 1 in the quotient aligning with the 5. Do 3 x 1 = 3, after that write a 3 underneath the 5. Then do 5-3 = 2. Carry the 4 down, you have 24 as the number. Then you need a number that goes into 24 evenly, which is 8. Same steps as last, then do 24-24= 0, after you get 0. You stop and circle the quotient which is 318 in standard form/algorithm.
A class of 27 students had a mean of 83 on a math quiz. The 12 girls in the class had a mean of 80.5 on the quiz. What was the mean of the boys’ scores?
a. 77
b. 77.5
c. 85
d. 85.5
Answers
Answer:
D
Step-by-step explanation:
It would most likely have to be above 83 to bring the average down, so A and B are out. It would most likely be D, since it would equally be 5 between 80.5 and 85.5 to get an even 83.
if x is directly proportional to y³ and x = 32 when y = 8,
i) find an equation connecting x & y
ii) find the values of x when y = 6
iii) find the value of y when x = 108
Quick pls!!
Answers
Answer:
i) x = ky³
ii) 13.5
iii) 12
Find the average rate of change of f(x) = - 2x ^ 2 - x from x = 1 to x = 6 . Simplify your answer as much as possible .
Answers
The average rate of change of a function in the interval [a,b] is given by:
\(\frac{f(b)-f(a)}{b-a}\)In this case we have that a=1 and b=6; plugging these values in the formula above we have:
\(\begin{gathered} \frac{-2(6)^2-6-(-2(1)^2-1)}{6-1}=\frac{-2(36)-6-(-2(1)-1)}{5} \\ =\frac{-72-6-(-2-1)}{5} \\ =\frac{-78-(-3)}{5} \\ =\frac{-78+3}{5} \\ =\frac{-75}{5} \\ =-15 \end{gathered}\)Therefore, the average rate of change in the interval is -15
BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST
A fire department's longest ladder is 110 feet long, and the safety regulation states
that they can use it for rescues up to 100 feet off the ground. What is the maximum
safe angle of elevation for the rescue ladder?
Also can you guys draw a picture of the right triangle and show work
Answers
See the attached picture for the answer:
Answer:
The maximum angle they can use the ladder is 65.38º
Step-by-step explanation:
Sine law allows sinA/a = sin B/b = sin C/c
Reference the drawing attached
sin 90/110m = sinB/100m
1/110m = sinB/100
multiply both sides by 100
100/110 = sinB
divide each side by 10
10/11 = sinB
find inverse sin of both sides
sin^-1(10/11) = B
65.38º = B
1 1/4c, 0.4L, 950mL. 0.7gal greatest to least
Answers
Answer:
0.7 gal, 11/4 cup, 0.4 liters, 950 mL
(this should be about right, im sorry if its not 100% correct)
-4(y - 2) = 12
y = ?
Answers
Answer:
Hello! answer: -1
Hope that helps!
what is x? 6(x+2)=2(x-3)
(Also I need good explanation please im very bad with my negatives and postives)
Answers
Step-by-step explanation:
the answer is -2
I'll explain in commets
Answer:
-9/2
Step-by-step explanation:
6(x+2)=2(x-3)
6x+12=2x-6
6x-2x+12=-6
4x+12=-6
4x=-6-12
4x=-18
x=-18/4
simplify
x=-9/2
A carpenter installing cabinets uses thin pieces of material called shims to fill gaps. The carpenter uses four shims to fill a gap that is 1.5 centimeters wide. The widths of three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.1 centimeter. What is the width of the fourth shim?
Answers
1.5 = gap
The sum of the four shims must be equal to the width of the gap:
0.75+0.125+0.1+x = 1.5
Where x is the width of the fourth shim.
Solve for x:
x = 1.5-0.75-0.125-0.1
x= 0.525 cm
Mikey johnson shipped out 34 2/7 pounds of electrical supplies . The supplies are placed in individual packets that weigh 2 1/7 pounds each . How many packets did he ship out ?
Answers
Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
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what is the best approximate for the volume of cement used to make one of these spheres?
Answers
Since we have that the volume of a sphere is given by:
\(V=\frac{3}{4}\pi r^3\)And we have that the diameter equals 3.6ft, we then will have a volume of:
\(V=\frac{3}{4}\pi(1.8)^3\Rightarrow V\approx13.74\)Since we have that the volume is approximately 13.74 ft^3, then the best approximation in the problem is A. 13.6 ft^3.
What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius is 10mm and the height is 5mm
Answers
Answer:
942 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where S is the surface area, r is the radius, and h is the height.
Substituting the given values, we get:
S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5
S = 628 + 314
S = 942
Therefore, the surface area of the cylinder is 942 square millimeters.
64° 42 °
xº
48°
Find the value of x
Answers
Discuss measures that can be taken to develop the spirit of hard work
M is the midpoint of line AB. Endpoint A is (4, 2). Midpoint M is (6, 0). Endpoint B = ?
Answers
The B points are ( 8, -2 ) of Endpoint B when M is the midpoint of line AB.
What is midpoint of a segment?
The midway of a line segment in geometry is where it meets the other end. The centroid of the segment and the endpoints, it is equally spaced from both endpoints. It cuts the section in half.M is the midpoint of line AB.
Endpoint A is (4, 2).
Midpoint M is (6, 0)
Let mid points are ( x,y) and A points are ( x₂ , y₂ ) and B points are ( x₁ , y₁)
x = x₁ + x₂/2 , y = y₁ + y₂/2
6 = x₁ + 4/2 , 0 = y₁ + 2/2
12 = x₁ + 4 , 0 = y₁ + 2
x₁ = 12 - 4 , y₁ = -2
x₁ = 8 , y₁ = -2
So, the B points are ( 8, -2 )
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necesito saber el valor que falta en esta fraccion 12/30 = ?/45
Answers
Answer:
28/45????????????????
Step-by-step explanation:
2tan(x/2)- csc x=0 interval [0,2pi)
Answers
Answer:
\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)
Step-by-step explanation:
Given trigonometric equation:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:
\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)
Therefore:
\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)
\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)
\(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)
\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)
\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)
Simplify the numerator:
\(\dfrac{1-2\cos x}{\sin x}=0\)
Multiply both sides of the equation by sin x:
\(1-2 \cos x=0\)
Add 2 cos x to both sides of the equation:
\(1=2\cos x\)
Divide both sides of the equation by 2:
\(\cos x=\dfrac{1}{2}\)
Now solve for x.
From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:
\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)
Therefore, the values of x in the given interval [0, 2π), are:
\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)
what 223 x 12 explain
Answers
Answer: 2676
Step-by-step explanation:
223 x 12 = 2676
This is because 223 12 times equals 2676.
*I will attach my work for the problem so you can see the solving process more clearly :).
Hope this helps :).
In each diagram, line f is parallel to line g, and line t intersects lines f and g
Answers
In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.
Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.
Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.
Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.
Alternate interior angles are congruent, as well as alternate exterior angles.
By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.
It is important to measure angles systematically and compare them to find congruent or equal measures.
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