Answer:
ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.
That is, S = D/t
Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have
S1 = D1/t
We can then say he ran a distance
D1 = t × S1
= 3600S1
Similarly, let's say Karleigh ran a distance
D2 = t × S2
= 3600S2
Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.
Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10
D1 = 3600 × 5
= 18000
D2 = 3600 × 10
= 36000
This makes D2 bigger than D1. this is an example i found on the internet.
Step-by-
hope this helps, good luck
The ratio of the change in distance to the corresponding change in time
gives the speed of a runner.
The statement that explains who ran a greater distance is; Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.Reasons:
The tables are;
Andrew
[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right][/tex]
Karleigh
[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right][/tex]
The duration each on the treadmills is 1 hour = 60 minutes
[tex]\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}[/tex]
Therefore;
[tex]\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}[/tex]
[tex]\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}[/tex]
[tex]\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}[/tex]
[tex]\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}[/tex]
Therefore;
Karleigh ran a greater distance The correct option is; Karleigh ran a greater distance. The slope of the line in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.Learn more about formula for speed here
https://brainly.com/question/24455685
what are the 3 most important things you learned about evaluating functions
Functions explain circumstances in which particular quantity and quality would be different. The important things about evaluating functions are below.
The evaluation collected data or information help to design curricula, assess the efficiency of innovative approaches, and highlight the regions of the requirement for change.Evaluation data is becoming increasingly valuable for guiding and advice.This same evaluation would be important just to measure the effectiveness of an existing program.
Learn more about evaluating functions here:
https://brainly.com/question/1291990
What si the meaning of 3:4
Answer:
its either a ratio or a 2017 film
Step-by-step explanation:
for every 3 pieces of candy you eat, you lose 4 teeth
After you multiply a number by 9 and subtract the product from 300, the difference will be 183. Find the number.
HEY CAN ANYONE ANSWER DIS PLS!
HELP DO ALL IF U CAN SORRY MY CAP ARE ON
0.07 = 0.07
0.07 > 0.06 (or any number greater than 0.07)
0.07 < 0.08 (or any number less than 0.07)
Answer:
1) 0.07 can only equal 0.07
2) > means greater than, so the answer would be anything greater than 0.07.
3) < means less than, so the answer would be anything less than 0.07.
I hope this helped you out...have an amazing day!! C:
Solve for z. Assume the equation has a solution for z, -p.(d+z) = -2z+59
Answer:
[tex]z = \boxed{ \frac{59 + pd}{2 - p} }[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Expanding/FactoringStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle -p(d + z) = -2z + 59[/tex]
Step 2: Solve for z
[Distributive Property] Distribute -p:∴ we have solved the given equation for z.
___
Learn more about Algebra I: https://brainly.com/question/16452009
___
Topic: Algebra I
Six times a number is forty two.
Write the equation?
Answer:
6*n=42
Step-by-step explanation:
n=7 if you need that info
4. Write any number to make the statement is
true?
Answer:
124<369
Step-by-step explanation:
Consider the linear equation.
32 4y = 18
Which two ordered pairs are on the graph of the linear equation?
Megan's DVD club membership, which is $8, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?
(−$8) ÷ 12
(−$8) ⋅ 12
(−$8) − 12
(−$8) + 12
Answer:
Its B :D
Step-by-step explanation:
What is the answer to 5 (y-10) = -5
Answer:
5(y-10)=-5
5y-50=-5
5y=45
y=9
Step-by-step explanation:
distribute
add 50 to the other side and undo it from its original side
get the variable by itself by dividing 5 on both sides
then you have your answer
I hope this helps!
Answer:
9
Step-by-step explanation:
5(y-10)=5
divide both sides by 5
50-5=45
45 divided by 5 is 9
Evaluate the expression when x=3 , y=−4 , and z=−6.
z−2x/y
Answer:
9/2
distribute the value of x,y, and z, on the given questions, and then you do multiplication, next addition, lastly lowest term.
need help with this
Answer:
[tex]-5x^2-26[/tex]
Step-by-step explanation:
[tex](f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26[/tex]
Can someone please help me with this?
Answer:
Acute angle
Step-by-step explanation:
This would be an Acute since it's less the 90 degrees
It wouldn't be complementary since both angles don't add up to ninety
A car dealer reported a 7.5% drop in sales from 895 cars. How many cars were sold?
Answer:
its is 38.6
Step-by-step explanation:
IK and LN are parallel lines. Which angles are vertical angles?
Answer:
OM and JH
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertical angles are opposite angles when two lines intersects
∠OMN & ∠LMJ are opposite angles
∠OML and ∠NMJ are opposite angles
∠MJK and ∠IJH are opposite angles
∠MJI and KJH are opposite angles
The distance from Phoenix to Tucson is 120 miles. The distance from Phoenix to Flagstaff is about 21.7% longer. To the nearest mile, what is the distance from Phoenix to flagstaff?
Answer:
146.04
Step-by-step explanation:
120×21.7%= 26.04
21.7% of 120 miles
120+26.04= 146.04
PLEASE PLEASE PLEASE HELPPP MEEE !!! Identify all of the roots of the function.
f(x) = x3 – 5x2 – 2x + 24
Answer:
4, 3, -2 are the 3 roots of the function
Answer:
-2, 3 & 4
Step-by-step explanation:
The integer roots of the polynomial function f(x)=x^3-5x^2-2x+24f(x)=x
3
−5x
2
−2x+24 can be only among the divisors of free term.
The divisors of free term are:
\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24.±1,±2,±3, ±4,±6,±8,±12,±24.
Check them:
1. f(1)=1^3-5\cdot 1^2-2\cdot 1+24=18\neq 0f(1)=1
3
−5⋅1
2
−2⋅1+24=18
=0 , 1 is not a root.
2. f(-1)=(-1)^3-5\cdot (-1)^2-2\cdot (-1)+24=20\neq 0f(−1)=(−1)
3
−5⋅(−1)
2
−2⋅(−1)+24=20
=0 , -1 is not a root.
3. f(2)=2^3-5\cdot 2^2-2\cdot 2+24=8\neq 0f(2)=2
3
−5⋅2
2
−2⋅2+24=8
=0 , 2 is not a root.
4. f(-2)=(-2)^3-5\cdot (-2)^2-2\cdot (-2)+24=0f(−2)=(−2)
3
−5⋅(−2)
2
−2⋅(−2)+24=0 , -2 is a root.
5. f(3)=3^3-5\cdot 3^2-2\cdot 3+24=0f(3)=3
3
−5⋅3
2
−2⋅3+24=0 , 3 is a root.
6. f(-3)=(-3)^3-5\cdot (-3)^2-2\cdot (-3)+24=-42\neq 0f(−3)=(−3)
3
−5⋅(−3)
2
−2⋅(−3)+24=−42
=0 , -3 is not a root.
7. f(4)=4^3-5\cdot 4^2-2\cdot 4+24=0f(4)=4
3
−5⋅4
2
−2⋅4+24=0 , 4 is a root.
The cubic function has at most 3 roots, then
Answer: roots of the function are -2, 3 and 4.
Can someone help me??
Answer:
the answer is 100% d I'm sure
Answer:
$1.17
Step-by-step explanation:
change = 20 - (3.99(3) + 2.99(1) + 3.09(1) + 0.78)
= 20 - (11.97 + 2.99 + 3.09 + 0.78)
= 20 - 18.83
= 1.17
Rachel has a bag that contains a total of 224 red and yellow candies. The ratio of red candies, R , to yellow candies, Y , is 3 to 4.
How many red candies are in Rachel's bag?
Answer:
96 red
Step-by-step explanation:
96 red, 128 yellow; 3/4=.75; r+y=224; .75y+y=224; 1.75y=224; 224/1.75=128, 224-128=96
Simplify (2a+5)6a^2
Can someone help please
Answer:
12a^3+30a^2
Step-by-step explanation:
6a^2(2a+5)
12a^3+30a^2
What are the roots of the polynomial equation x cubed minus 7 x = 6 x minus 12? Use a graphing calculator and a system of equations.
↓Answer:
Step-by-step explanation:
It will be 504
Answer:
THE ANSWER IS B
Step-by-step explanation:
The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household. Super Sitters charges a flat rate of $20 an hour per child.
For hours ______ of service, both babysitting services would cost the same.
Answer:
i think its 7500
Step-by-step explanation:
Evaluate the expression a=3, b=2, and c=12
Answer:
jejejwjjwjejeejekeekekeknenenenne
Answer:
Step-by-step explanation:
Sorry but please give detailed question
Write the equation of the line described that passes through (-6,8), perpendicular to y = 5x - 15
PLS ANSWER THIS PLSSSSSSSS.
Answer:
[tex]y=-\frac{1}{5}x+9\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]y-y_{1} =m(x-x_{1} )\\y-8=-\frac{1}{5} (x+6)\\y-8=-\frac{1}{5}x-\frac{6}{5}\\y=-\frac{1}{5}x+9\frac{1}{5}[/tex]
Explaining How to S
ve an ea
What should you do to solve the equation?
45 = x + 38
O Subtract 38 from both sides.
O Add 38 to both sides.
O Subtract 45 from both sides.
O Add 45 to both sides.
Answer:
Subtract 38 from both sides.
Step-by-step explanation:
THAT DA ANSWER
Someone help I really need it.
Answer:
c
Step-by-step explanation:
C
12 = x
12 times 12 = 144
Solve the equation: 3(x−3) + 2x= −49
A.) x= - 8
B.) x = - 2
C.) x = - 40
D.) x= - 50/3
explain how xy and xy are diffrent
Answer:
x is the horizontal line on the middle of a graph and the y is the vertical line on the middle of a graph
Step-by-step explanation:
Answer:
xy and xy is the same, equal and congruent.
Step-by-step explanation:
By the way you write it, it looks the same.
Help pls help NOW! 35 points.