Answer:
i hope my answer help You
Step-by-step explanation:
the answe is d:3/7
Which of the following statements could be translated to the equation n - 5 = -2?
A number less than five equals negative two.
The difference between a number and five is negative two.
If five is subtracted from a number, the result is two.
Five less a number is equal to two.
Answer:
its the first one i believe
Answer:
I believe it's, The difference between a number and five is negative two.
Step-by-step explanation:
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.
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:
HELP PLEASE
What are the steps in solving this system? (write them in WORDS and solve.)
5x - 2y = 4
10x - 2y = 14
Please help :30 points
add up all the numbers, then divide by how many numbers there are.
If y varies directly with x, and y = 72 when x = -8, what is y when x = -6
Answer:
y=72
Step-by-step explanation:
the step by step is in the attachment above
The Science Club went on a two-day field trip. The first day the members paid $40 for transportation plus $19 per ticket to the planetarium. The second day they paid $85 for transportation plus $16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
Answer:
y(total cost)=35n+125
Step-by-step explanation:
First day: 19n+40
Second day: 16x+85
Total: 35n+125
factorise 49m²-84mn+36n² using the identity x²+(a+b)x+ab=(x+a)(x+b)
Answer:
(7m-6n)(7m-6n)Step-by-step explanation:
Given the expression 49m²-84mn+36n², this can also be written as;
49m²-84mn+36n²
= 7²m² - 84mn + 6²n²
= (7m)²-2*7m*6n+ (6n)²
= (7m-6n)²
= (7m-6n)(7m-6n)
Hence the expanded form is (7m-6n)(7m-6n)
Cindy and her friends ride in a bike race. Each of the 6 members of her team rides an equal part of the 24-mile course.
The equation ____________________________ represents this problem
x - 24 = 6
6x = 24
24x = 6
Answer:
6x=24
Step-by-step explanation:
Because if Cindy has 6 friends and they all ride 4 miles it should equal 24.
If a jacket costs $65.49 and it will be marked up 30%, what is the selling price?
PLZ PLZ PLZ PLZ HELP ME WITH THIS QUESTION
I need a little help
Answer:
A) x = 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
in a 45-45-90 triangle, the legs to hypotenuse ratio is 1 : [tex]\sqrt{2}[/tex]
so in this problem the leg is 8 and the hypotenuse is 8[tex]\sqrt{2}[/tex]
Can y’all please help me with this. I feel like it’s a trick question
Answer:
the correct answer is the last one.
Step-by-step explanation:
good luck on ur test :)
Answer:
0.27
-0.07
0.20
Step-by-step explanation:
A
If it is not A it is a trick question, or a mistake
Report the problem if you can.
What is 4/6 x 6 as a mixed number?
Answer:
4
Step-by-step explanation:
4/6 x 6 can be thought of as 4/6 x 6/1.
When multiplying two fractions, multiply the numerator (top number) with the numerator and the denominator (bottom number) with the denominator.
So we have: (4x6) / (6x1)
Which can be simplified to: 24/6, or 4.
Let me know if this helps!
80% of all households have a rice cooker. 35% of all households have a rice cookers and an instant pot. What is the probability that a household has an instant pot given that it has a rice cooker?
Answer:
A rice cooker, also known as a rice steamer, is a popular small appliance that works like a slow cooker by using moist heat to cook food while trapping the flavors in the pot until it’s ready to enjoy. Modern rice pressure cookers significantly reduce rice-making time and often feature a warming setting so you can be flexible with meal times.
Step-by-step explanation:
Which equation is equivalent to the equation shown up above ? Help?
Answer:
option 2
Step-by-step explanation:
:-)
Find the circumference of the circle. Use 3.14
for pi. Round to the nearest hundredth.
c=20 ft
Answer:
62.8
Step-by-step explanation:
the circumference is equal to the radiusx2xpi
it gives us the diameter but not the radius
to find the radius from the diameter we just divide it by 2 so the radius is 10
then we just do 10x2x3.14 which is 62.8
Simplify each expression by using the distributive property and combining like terms.
3 ● (2x - 4) - 4x
Answer:
2x - 12
Step-by-step explanation:
Hello!
So, let's simplify using the distributive property.
Let's look at 3(2x - 4). You want to multiply 3 by every term inside the parentheses.
3*2x = 6x
3*-4= - 12
So now our expression looks like this:
(6x - 12) - 4x
Now we combine like terms. Our only like terms are 6x and -4x.
6x - 4x = 2x. So, our simplified expression is:
2x - 12.
1. In the diagram below, a large flagpole stands outside of an office
building. Mark realizes that when he looks up from the ground.
60 m away from the flagpole, that the top of the flagpole and the
top of the building line up. If the flagpole is 35m tall, and it is
310 m from the building, how tall is the building? Explain your
answer. On your answer sheet.copy the diagrams and label all
parts)
Answer:
Step-by-step explanation:
Let h bet the height of the building.
Mark is 60+310 = 370 m from building.
35/60 = h/370
h = 1295/6 = 215⅚ meters
Please help will mark brainliest
Answer:
SSS
Step-by-step explanation:
Since all three sides of the triangle are congruent, we don't need to prove anything else, so we would use SSS (Side-Side-Side)
someone pls help for brainliest :)
Answer:
It might be the the 1st or the 4th :)
Step-by-step explanation:
I HOPE IT HELPED!!!!
all rational numbers are integers trure or false
Explain the steps to solving a two-step inequality.
Answer:
Step-by-step explanation:
The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister is 4 to 9. Lucas sent 72 text messages. How many text messages did his sister send?
Answer:The number of text messages sent by his sister=162
Step-by-step explanation:
Step 1
The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister =4 to 9= 4:9
Number of text messages sent by Lucas =72
Total ratio is given as 4+ 9= 13
Step 2
such that the total number of messages sent by Lucas and by his sister will be calculated as
Ratio of text messages sent by Lucas/ total ratio x Total messages = Number of text messages sent by Lucas . Let X = Total number of messages
4/13 x X = 72
X=72 x 13 / 4 =234
Therefore, The number of text messages sent by his sister= ratio of text messages sent by his sister/ Total ratio x Total number of messages =
9/13 X 234= 162 messages
what type of relationship is y=3x+5 and y=-2x+1
This is a linear relationship.
Linear relationship is a statistical term used to describe a straight-line relationship between two variables. These two equations are written in the typical slope-intercept form of y = mx + c, this function creates a straight line when plotted.
(8x + 9) + (–6x – 1)
Answer:
5
Step-by-step explanation:
Simplifying
(8x + 9) + -1(6x + -1) = 0
Reorder the terms:
(9 + 8x) + -1(6x + -1) = 0
Remove parenthesis around (9 + 8x)
9 + 8x + -1(6x + -1) = 0
Reorder the terms:
9 + 8x + -1(-1 + 6x) = 0
9 + 8x + (-1 * -1 + 6x * -1) = 0
9 + 8x + (1 + -6x) = 0
Reorder the terms:
9 + 1 + 8x + -6x = 0
Combine like terms: 9 + 1 = 10
10 + 8x + -6x = 0
Combine like terms: 8x + -6x = 2x
10 + 2x = 0
Solving
10 + 2x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 2x = 0 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = 0 + -10
2x = 0 + -10
Combine like terms: 0 + -10 = -10
2x = -10
Divide each side by '2'.
x = -5
Simplifying
x = -5
made by TheRealMarinette
Bis Devis traveled 372.645 miles last
sear on business. What is the value
of 6 in 372.6452
Answer:
dont forget the point of contact dedo I show you how w
HELP ITS SOO HARD also can you please explain how to get the answer to where a dummy can understand cuz well I’m a dummy
Answer:
244.92 square inches
Step-by-step explanation:
You just have to fill in the formula with the information they gave you.
They gave you the diameter for base circle so you divide that number in half to get the radius which is what you need for the formula represent as "r".
r=3
h=10
and you know pi is 3.14
so just plug in the numbers.
SA=2x3.14x3^2+2x3.14x3x10
SA=6.28x9+6.28x30
SA=56.52+188.4
SA=244.92
Given r(x) = StartFraction 11 Over (x minus 4) squared EndFraction , which represents a domain restriction on r(x) and the corresponding inverse function? X > 4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Answer:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Step-by-step explanation:
We are given that
[tex]r(x)=\frac{11}{(x-4)^2}[/tex]
We have to find the domain of restriction on r(x) and corresponding inverse function.
Let
[tex]y=r(x)=\frac{11}{(x-4)^2}[/tex]
[tex](x-4)^2=\frac{11}{y}[/tex]
[tex]x-4=\sqrt{\frac{11}{y}}[/tex]
[tex]x=\sqrt{\frac{11}{y}}+4[/tex]
[tex]r^{-1}(y)=\sqrt{\frac{11}{y}}+4[/tex]
Now, replace x by y and y by x then, we get
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
The function is not defined at x=4
But,
The inverse function defines for all positive real values.
Therefore, domain of r(x)=x>4 and inverse function
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
Option:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
b
Are the lines parallel? y = x + 4 and y = x - 2 *
1. yes, they have the same slope and a different y-intercept
2. no, they are not parallel
Solve for the value of y.
(8y+1)º
(6y+5)
Answer:
y = 6
Step-by-step explanation:
8y+1 + 6y+3 = 90
14y+6=90
14y=84
y = 6