Answers
Answer:
3 units
Step-by-step explanation:
Related Questions
PLEASE HELP 100 POINTS!!! PLEASE DON'T ANSWER IF YOU DON'T KNOW!!
Alana and Kelsa are training for a marathon. To prepare for this marathon they have been training and tracking their progress periodically.
In the first week of training Alana ran an average of 20 minutes per mile. Later, in week seven of training she ran an average of 14 minutes per mile.
In the first week of training Kelsa ran an average of 15 minutes per mile. Later, in week five of training she ran an average of 13 minutes per mile.
Assuming that Alana and Kelsa continue to train and improve their times at the same rate your task is to determine which week they will have the same average minutes per mile. We will assume that the relationship is linear as they will be training for a maximum of 43 weeks. To complete this task follow the steps below.
1. Determine the equation of a line in standard form that represents Alana’s training progress. Her progress corresponds to the points (1, 20) and (7,14).
2. Determine the equation of a line in standard form that represents Kelsa’s training progress. Her progress corresponds to the points (1, 15) and (5,13)
3. Solve the system of equations (you must show all your work to receive full credit).
4. In which week will Alana and Kelsa have the same average minutes per mile?
5. If Alana and Kelsa continue to train until week 30, what will their times be?
6. Do you believe a linear model best represents the relationship of the time of the runners and the weeks that passed?(Hint: look at question 5). What do you think this says about problems in the real world? Justify your thoughts in 3-4 sentences.
Answers
Answer: Alana's training experience in (weeks, minutes per mile) is (1, 12) and (5, 6).
Kelsa's training experience is (1, 10), (11, 5).
Find:
A linear equation in standard form that describes Alana's experience
A linear equation in standard form that describes Kelsa's experience
A solution to the pair of linear equations
The week in which the number of minutes per mile is the same
Minutes per mile for Alana and Kelsa at week 25
Comment on the use of a linear model in this context
Solution:
Please note that in parts 1 and 2 a "standard form" linear equation has a positive leading coefficient and the numbers have no common factor.
1. A linear equation can be written from two points (x1, y1) and (x2, y2) as ...
... (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
Using the given points in order, this becomes
... (6-12)(x -1) -(5 -1)(y -12) = 0 . . . . above equation with values filled in
... -6x +6 -4y +48 = 0 . . . . . . . . . . eliminate parentheses
... 3x +2y -27 = 0 . . . . . . . . . . . . . divide by -2 to make x-coefficient positive
... 3x +2y = 27 . . . . . . . . . . . . . . . . Alana's training experience
2. In similar fashion, we can write the equation for Kelsa's experience.
... (5 -10)(x -1) -(11 -1)(y -10) = 0
... -5x +5 -10y +100 = 0 . . . . . . eliminate parentheses
... x +2y -21 = 0 . . . . . . . . . . . . . divide by -5
... x +2y = 21 . . . . . . . . . . . . . . . . Kelsa's training experience
3. We note that both equations have the term 2y, so we can subtract the second equation from the first to eliminate that term:
... (3x +2y) -(x +2y) = (27) -(21)
... 2x = 6 . . . . . . . simplify
... x = 3 . . . . . . . . divide by 2
... 3·3 +2y = 27 . . . substitute x=3 into Alana's equation
... 2y = 18 . . . . . . . . subtract 9
... y = 9 . . . . . . . . . . divide by 2
The solution is (weeks, minutes) = (x, y) = (3, 9).
4. The solution of part 3 tells us both have an average time of 9 minutes per mile in week 3 of training.
5. Substituting x=25 into the equations of parts 1 and 2, we get ...
... 3·25 +2y = 27
... y = (27 -75)/2 = -24 . . . . Alana's time per mile at week 25
... 25 + 2y = 21
... y = (21 -25)/2 = -2 . . . . . Kelsa's time per mile at week 25
6. A linear model makes no sense in this context. At some point a linear equation for minutes per mile will always have a value of 0. We know that marathon runners will never have a time of zero minutes per mile. Under the best of conditions, we expect training to improve time toward some asymptotic limit determined by body mechanics. A linear model is completely inappropriate for describing such training effects. Not every real-world problem is appropriately represented by a linear equation.
Step-by-step explanation:
At the Football game they expect that for every 4 people that attend 3 hot dogs will be sold. What is the equation
Answers
Answer:
If [tex]p[/tex] is people and [tex]h[/tex] is hot dogs, the equation is [tex]3h=4p[/tex].
The relation among people who attend and hot dog sold is 4x = 3y.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
At the Football game they expect that for every 4 people that attend 3 hot dogs will be sold.
let the are total x people and y number of hot dogs will be sold.
So, the relation among people who attend and hot dog sold is
4x = 3y
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Are the graphs of the given equations identical lines parallel lines are lines intersecting on a single point
Answers
How many solutions does the following equation have? 5(x + 3)= 5x + 3
HELP!!
Answers
help with 4 please thank you
Answers
Answer:
=3x^2+4
Step-by-step explanation:
Subtract 8 from 12.
3x^2+4
Simplify the expression ((x^3 * y^-3))^4/ 2x^1 * y^4
Answers
= (X^12 * Y^-12)/2x * y^4
12 1/2 − 9 1/4
This problem comes from subtract mixed numbers
5 3/4 - 2 5/12
7 1/5 - 3 7/10
11 2/3 - 8 1/2
Answers
12 1/2 = 2 * 12 + 1 = 25/2
9 1/4 = 4 * 9 + 1 = 37/4
Multiply 25/2 by 2/2 to have a common denominator:
25/2 * 2/2 = 50/4
50/4 - 37/4 = 13/4 or 4 1/3
In the equation 5b = 45, b = 10
True or False
Answers
Answer:
False b=9
Step-by-step explanation:
In the equation 5b+45, b is equal to 9
The way we get this answer is by dividing each term by 5 and then simplifying
45/5
45/5=9
Hope this helps :)
11k = -143 I need help with this question
Answers
Answer:
k = -13
Step-by-step explanation:
-143/11 = -13
Answer:
11k = -143
k=-143/11=-13 is a required answer
1. What is the measure
of AB?
A
264°
B
Answers
How to:
360-264
360°-264°=96°
Match the numbers with the correct label pls helpppp
Answers
Answer:
first convert all fractions to decimals so you can put least to most on the line
a. -.25
b. − .428571 ( repeating)
c. -.2
now put them in order
a(blue)=b,-3/7
b(pink)=a,-2/8
c(green)=c-.2
10 + 20 = 2(5 + __)
a
11
b
30
c
10
d
7
Answers
Answer:
C=10. They did distributive property. Hope this helped!
Step-by-step explanation:
A bag is filled with green and blue marbles. There are 43 marbles in the bag. If there are 7 more green
marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
Equation (use x as your variable):
The number of blue marbles is:____
The number of green marbles is:____
Answers
Answer:
Blue marbles: 18
Green marbles: 25
Step-by-step explanation:
First off, we have to define our variables.
g = # of green marbles
b = # of blue marbles
We know two equations:
g + b = 43 and g = b + 7
If you're wondering how I got the first equation, it was because the number of green and blue marbles is 43. For the second equation, we know that there are 7 more green marbles than blue marbles.
Now, we have an equation for the number of green marbles. We can plug that equation into the equation g + b = 43.
So, (b + 7) + b = 43.
When we simplify it, we get 2b + 7 = 43.
We subtract 7 from both sides, which gets us 2b = 36.
Now, b = 36/2.
b = 18.
So, we found out the number of blue marbles that we have. We know that g + b = 43. Now, all we have to do is plug in the number of blue marbles into that equation to find out the number of green marbles.
g + 18 = 43.
g = 43 - 18.
g = 25.
Thus, the number of green marbles we have is 25 and the number of blue marbles is 18.
If you chose to use substitution to solve this system what should your equation look
like?
y=5x-5
y= -4x+22
Answers
Step-by-step explanation:
y=5x-5
y= -4x+22
1- use y=5x-5 solve for y (here you don't really have to do anything)
This stays the same, Therefore y = 5x-5
2- you will substitute y=5x-5 for y in y= -4x+22. The problem should now look like this:
5x-5= -4x+22
Solving for xnow, with the equation above you will solve for x-
5x-5= -4x+22 (add 4x to both sides)
9x-5= 22 (add 5 to both sides)
9x=27 (divide by 9)
x=3
Solving for yNow that you Know that x=3 you can substitute x=3 for x in y=5x-5. The problem should look like this:
y= 5(3)-5
Now with the equation above you can solve for y
y= 5(3)-5 (multiply 5 by 3)
y= 15-5 (subtract)
y=10
Now you have your answers X=3 Y=10
i hope this helps!
f(x) = 2^x
what is the domain ?
range ? asymptote ? and transformation
Answers
y=2x
Step-by-step explanation:
I dont know what else there is sry
Please help will give brainliest
Answers
Step-by-step explanation:
[tex] \frac{32.5}{33.8} = 0.9615[/tex]
B is the quotient. your welcome
Teri earned $18.25 an hour at the semiconductor plant. The payroll deductions reduced her paycheck by $182.50. If her first weekly paycheck was at least $547.50 after the deductions, how many hours did she work that week?
Answers
Answer:
40 hours
Step-by-step explanation:
did 18.25*40 then subtracted 182.50 and it equaled 547.50
Are heart rate and age proportional or non proportional for each method
Answers
Answer:
Yes
Step-by-step explanation:
For example
Doctors have two methods of calculating maximum heart rate. With the first method, maximum heart rate, y, in beats per minute is y=220−x, where x is the person’s age.
In a family of 6 children what is the probability there are exactly 4 girls?
Answers
Answer:
sonn 12 laalkznjsnl nalslaonhfj. alallkzhdbb nLaojahdnldl
Wilma saves $12,000 at the end of every six months for 10 years. Assume 10% compounded semiannually and find the present value.
$149,546.52
$137,547.52
$73,734.84
$195,589.79
Answers
Kimberly's family has a dinner bill of $56.95 and wants to leave a 15% tip for their server. How much will this family spend for the meal plus the tip? 50 points!
Answers
Answer:
This family spend for the meal plus the tip : $56.95 + $8.54 = $65.49
The tip = $56.95 x 15% =$8.54
Step-by-step explanation:
Write a direct variation equation if y varies directly with x and y = -12 and x = 2
Answers
Answer:
y = -6x
Step-by-step explanation:
We can check our answer by plugging in x = 2 and y = -12 into the equation
Courtney is flying a kite and 125 ft of the string is let out. The angle of elevation between the kite and the ground is 48°. Find the approximate height of the kite.
Answers
Answer:
rrrrrrreeeeeeeeeee
Step-by-step explanation:
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
A soda costs $1.25 in a vending machine. A 12-pack of the same soda costs $3.49 at a grocery store. How much do you save by buying a dozen cans at the grocery store?
Answers
Answer:
you would save 11.51 dollars
Step-by-step explanation:
12 cans times the vending machine price of 1.25$= $15
15-3.49=11.51
28, 30, 24, 96, 33
Mean
Range =
Median =
IQR =
Mode =
Variance
Midrange=
Standard Deviation=
Answers
Answer:
I know some .
median : 24
Step-by-step explanation:
Mean : you add all of them up then divide by how many numbers there are .
range : the biggest number minus the smallest number .
median : the middle number . the middle number is 24 .
I know what is mode but the answer is not in there
Which would be an equivalent way to write y= 2 - 3x ?
a) y= -3x - 2
b) y= -3x + 2
c) y= 3x - 2
d) y= 3x + 2
Answers
you are buying decorations for a birthday party. the before tax total for 3 rolls of crepe paper and 20 balloons is $11.40. after you start decorating, you need more supplies. you buy 2 more rolls of crepe paper and 10 more balloons for $7.20 before tax. how much did each cost?
please help with an explanation.
Answers
Answer & Step-by-step explanation:
Let's have
C = Creepers
B = Balloons
1) 6C + 20B = 11.9
2) 2C + 15B = 6.05
Eliminate
16C + 20B = 11.9 x3
-2C + 15B = 6.05 x4
18C + 60B = 35.7
-8C + 60B = 24.2
10C/10 = 11.5/10
C = 1.15
_______divisible by both 2 and 5
Answers
Step-by-step explanation:
____2__divisible by both 2 and 5
A bag contains 5 red marbles, 8 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be red?
Answers
Without replacement, the probability that all three marbles drawn will be red is 0.01.
What is the probability?Probabiliy is used to determine the likelihood of an event happening. The probability that the event would occur lies between 0 and 1.
Probability of drawing three red marbles = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles - 1) x (number of red marbles / total number of marbles - 1)
5/17 x 4/16 x 3/15 = 0.01
The probability, to the nearest 10th of a percent, that all three marbles drawn will be red; 1.5%
How to calculate probability?
We are given;
Number of red marbles = 5
Number of blue marbles = 8
Number of Green marbles = 4
Total number of marbles = 5 + 8 + 4
Total number of marbles = 17
Probability of first being red = 5/17
Probability of second being red = 4/16
Probability of third being red = 3/15
Thus;
P(all three marbles drawn are red) = (5/17) * (4/16) * (3/15)
P(all three marbles drawn are red) = 0.0147
Approximating to nearest tenth of a percent = 0.015 = 1.5%
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Right answer gets brainlist
Answers
Answer:
132
Step-by-step explanation:
12 times 11= 132 PLEASE MARK BRAINLIEST
