Answer:
the first one
10+n = 3n
Step-by-step explanation:
n is the number
and 3n means 3*n
Answer: the answer the first one 10+n=3n
Step-by-step explanation:
n is the number
and 3n means 3*n
Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 1hr 50 min. Amanda comes in second with a time of 2hr 42 min. Bryce finishes last with a time of 3hr 16 min. Find the distance (in mi) for each part of the race.
The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.
Each racer travels the same distance and the sum of the distances travelled ([tex]x[/tex]), in miles. By definition of average speed ([tex]v[/tex]), in miles per hour, we get the following system of equations:
Amanda
[tex]t_{A} = \frac{x_{R}}{v_{A, R}}+\frac{x_{S}}{v_{A,S}}+\frac{x_{C}}{v_{A,C}}[/tex] (1)
Where:
[tex]x_{R}[/tex] - Running distance, in miles.[tex]x_{S}[/tex] - Swimming distance, in miles.[tex]x_{C}[/tex] - Cycling distance, in miles. [tex]v_{A,R}[/tex] - Speed of Amanda in the running distance, in miles per hour.[tex]v_{A,S}[/tex] - Speed of Amanda in the swimming distance, in miles per hour.[tex]v_{A,C}[/tex] - Speed of Amanda in the cycling distance, in miles per hour.[tex]t_{A}[/tex] - Total time of Amanda, in hours.Bryce
[tex]t_{B} = \frac{x_{R}}{v_{B, R}}+\frac{x_{S}}{v_{B,S}}+\frac{x_{C}}{v_{B,C}}[/tex] (2)
Where:
[tex]v_{B,R}[/tex] - Speed of Bryce in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Bryce in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Bryce in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Bryce, in hours.Corey
[tex]t_{C} = \frac{x_{R}}{v_{C, R}}+\frac{x_{S}}{v_{C,S}}+\frac{x_{C}}{v_{C,C}}[/tex] (3)
Where:
[tex]v_{B,R}[/tex] - Speed of Corey in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Corey in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Corey in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Corey, in hours.If we know that [tex]t_{A} = 2.7\,h[/tex], [tex]v_{A,R} = 10\,\frac{mi}{h}[/tex], [tex]v_{A,S} = 4\,\frac{mi}{h}[/tex], [tex]v_{A, C} = 20\,\frac{mi}{h}[/tex], [tex]t_{B} = 3.27\,h[/tex], [tex]v_{B,R} = 7.5\,\frac{mi}{h}[/tex], [tex]v_{B,S} = 6\,\frac{mi}{h}[/tex], [tex]v_{B,C} = 15\,\frac{mi}{h}[/tex], [tex]t_{C} = 1.833\,h[/tex], [tex]v_{C,R} = 15\,\frac{mi}{h}[/tex], [tex]v_{C,S} = 3\,\frac{mi}{h}[/tex] and [tex]v_{C,C} = 40\,\frac{mi}{h}[/tex], then the solution of the linear system of equations is:
[tex]\frac{x_{R}}{10} + \frac{x_{S}}{4} + \frac{x_{C}}{20} = 2.7[/tex] (4)
[tex]\frac{x_{B}}{7.5}+\frac{x_{S}}{6} +\frac{x_{C}}{15} = 3.27[/tex] (5)
[tex]\frac{x_{R}}{15}+\frac{x_{S}}{3} +\frac{x_{C}}{40} = 1.833[/tex] (6)
[tex]x_{R} = 4.23\,mi[/tex], [tex]x_{S} = 1.98\,mi[/tex], [tex]x_{C} = 35.64\,mi[/tex]
The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.
We kindly invite to check this question on systems of linear equations: https://brainly.com/question/20379472
The area of a circle is 88.42cm2. Find the length of the radius rounded to 2 DP.
Answer:
r=5.31
Step-by-step explanation:
A=π r²
88.42cm²=3.14r².................π =3.14
88.42cm²÷3.14=r²
r²=28.16cm²
r=5.31
Find the measures of the interior angles.
what is angle C
Thank you to anyone who can help!!
Answer:
Pentagon (the 5 sided shape) = 1
Cross-looking shape = 6
Star = 8
Square/Rectangle = 5
Hope this helps!
A unit cube could be 6 units long by 6 units wide by 6 units tall. True or false?
Answer:
True
Step-by-step explanation:
Similar triangle Scale factor 3:4 and x=16
Step-by-step explanation:
a factor is something you multiply with.
so,
16 × 3/4 = 12
so, the corresponding side to x in the similar triangle is 12 units long.
Determine the zeros for x2 + 7x − 20 = 6x.
Answer:
= 4
or
= −5
Step-by-step explanation:
Answer:
[tex]x=-5[/tex] and [tex]x=4[/tex]
Step-by-step explanation:
[tex]x^2+7x-20=6x[/tex]
[tex]x^2+7x-20-6x=6x-6x[/tex]
[tex]x^2+x-20=0[/tex]
[tex](x+5)(x-4)=0[/tex]
[tex]x=-5[/tex] and [tex]x=4[/tex]
2. Rich and Betsy Cuik started a small business. They manufacture a
microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains
spring water and ground coffee beans in a tea-bag-like pouch. Each
cup costs the company $1.00 to manufacture. The fixed costs for this
product line are $1,500. Rich and Betsy have determined the demand
function to be q = -1,000p + 8,500, where p is the price for each cup.
a. Write the expense equation in terms of the demand, q.
b. Express the expense equation found in part a in terms of the
price,p.
c. Determine a viewing window on a graphing calculator for the
expense function. Justify your answer.
d. Draw and label the graph of the expense function.
e. Write the revenue function in terms of the price.
f. Graph the revenue function in a suitable viewing window. What
price will yield the maximum revenue? What is the revenue at
that price? Round both answers to the nearest cent.
g. Graph the revenue and expense functions on the same coordinate
plane. Identify the points of intersection using a graphing calcula-
tor. Round your answers to the nearest cent. Identify the price at
the breakeven points.
I
Answer:
Step-by-step explanation:
A) 1.00q+1,500
E=1.00q+1,500
The costs are $1.00 per cup and $1,500.
Let E represents the total cost.
Let q be the demand (number of cups).
Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500
help, I have a math question
[tex]log_{4} (x+3)(x-3) = 2[/tex]
solve for x
Answer:
x = √11
Step-by-step explanation:
(x + 3)(x - 3) = 2
=> x² - 3x + 3x - 9 = 2
=> x² - 9 = 2
=> x² = 11
=> x = √11
Hoped this helped.
volume of a cube with 7,5 cm
Answer:
421.88
Step-by-step explanation:
7.5^3=421.88
Write an equation for the line gragh
Answer:
see below
Step-by-step explanation:
y=mx+b: slope and intercept
ax+by/c: standard
(x-x1)*m=y-y1: point slope
1 inch = 2feet . what would be the real life measurement of an object that measures 3 inches on a scale drawing
Given,
1 inch = 2 feet
3 inches = ? feet
3 inches = (2 × 3) feet
3 inches = 6 feet
=》3 inches in the scale drawing is 2 feet in real life.
_______
Hope it helps ⚜
What is the value for y?
Enter your answer in the box.
y=
Answer:
28
Step-by-step explanation:
Answer:
y = 28Step-by-step explanation:
the sum of the internal angles of a triangle is 180 °, from the equal sides it is understood that it is isosceles, therefore it has 2 sides and two equal angles (angle A and angle B) so both A and B are 34 °, x - 5 = 34 °
we find the value of 4y
180 - 34 - 34 = 112
now we find the value of y
4y = 112°
y = 112 : 4
y = 28
Can you answer the question and explain it to me simply im just in 5th grade and i dont get it
Answer:
13/20
Step-by-step explanation:
12/20-4/20+5/20=
8/20+5/20=
13/20
Answer:
[tex] \frac{13}{20} [/tex]
Step-by-step explanation:
Before we can do anything with the fractions, we need to find a common denominator.
To do that, we will first divide 10 by 2 to get a denominator of 5, and whatever we do to the bottom we must do to the top as well. So we will also divide 6 by 2 to get 3.
So 6/10 has now been simplified to 3/5.
Next we can subtract 1/5 from 3/5 since they both share a common denominator of 5, now we have 2/5.
Now in order to find the common denominator of 2/5 and 1/4, we will simply cross multiply the two fractions together like so: (2 × 4 = 8 and 5 × 1 = 5), to get 8/20 and 5/20. So now we can add 8 and 5 normally, since they both share a common denominator now. That's how you get 13/20.
Hope it helps :)
I tried to keep it simple for you.
what is the improper fraction 2 7/8what is the improper fraction 8 2/3
Answer:
1. 23/8
2.26/3
Step-by-step explanation:
what is the slope of the line // take my points !!!!
Answer:
Im not sure
Step-by-step explanation:
Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
7+(4x8)-9
i need help this is weird
Answer:
30
Step-by-step explanation:
7+(4*8)-9
Multiply first inside the parentheses
7+(32)-9
Then add and subtract from left to right
39 - 9
30
Answer:
If x is a variable then the answer is 4x⁸ - 2
If x is a multiplication representation then the answer is 30
Step-by-step explanation:
If x is a variable:
1) Eliminate redundant parentheses
[tex]7+(4x^{8} )-9\\7+4x^{8} -9[/tex]
2) Subtract the numbers
[tex]7+4x^{8} -9\\-2+4x^{8}[/tex]
3) Rearrange Terms
[tex]-2+4x^{8} \\4x^{8} -2[/tex]
4. Answer a through c
Answer:
Hello is this math i can help you with your answer
I’m downloading a 50 gigabyte game at a rate of 5.5 megabytes per second. How many hours would it take to finish installing.
Answer:
It will take 20.2 Hours to finish By the way? What game are you playing???Answer:
2.6 hours to download; installation time is unknown
Step-by-step explanation:
We assume there are 1024 MB in 1 GB, so the time required is ...
time = quantity/rate
time = 50(1024 MB)/(5.5 MB/s) ≈ 9309.1 s
There are 3600 seconds in 1 hour, so this is ...
9309.1 s/(3600 s/h) ≈2.5858... h ≈ 2.6 hours . . . to download
__
This is the time expected for the download. We have no information about the installation time, so we cannot tell you how long it would take to finish installing.
A butcher makes meatloaf by mixing hamburger which sells for a $1.89/lb and sausage which sells for $2.99/lb how many pounds of each should be used if he makes 30 lb of mix and sell it for $2.33/lb
Answer:
12 and 18
Step-by-step explanation:
STAN LOONA FOR A BETTER LIFE OR ELSE U WILL BE SINGLE FOR THE REST OF UR LIFE
We as we see this question is quite simple
first we find the vocabulary which is in simple text slang and convert it formally to english...
Next we find that this question makes no sense so g'day
You are taking a taxi from the airport to your hotel. The taxi charges a base fee of $5.25 and then $1.25 per mile. Your fare was $75. How many miles did you travel?
Answer:
54.75 is the answer I got
Step-by-step explanation:
first I calculated 75÷1.25 then subtracted the fare which is 5.25
The sum of the interior angles in a polygon is 15,480°. Calculate the number of sides in the regular polygon.
Find the distance between
Answer:
minus 15 by 4
Step-by-step explanation:
minus 9 by 4 minus 3 by 2 lcm then add
14.61 divided by 25 and i just need to now this as soon as you can
Answer:
0.5844
Step-by-step explanation:
Answer:
0.5844 just use a calculator
what is the value of x + y?
Answer:
55°
Step-by-step explanation:
180°-70°=110° (sum of angles on a straight line gives 180°
The size of each of the four remaining angles=110°/4 = 27.5°
<X + <Y = 27.5° + 27.5°=55°
Find the measure of angles A and B in the diagrams below.
Answer:
A = 147°
B = 33°
What are the terms in the following expression? Choose all that apply.
c + 4a + 2b + 7
Answer:
C, 4a, 2b and 7
Step-by-step explanation:
11.
A circle with a radius of 6 cm is enlarged to be a circle with a radius of 15 cm. What scale
factor was used to dilate the small circle into becoming the larger circle?
a) 0.4
b) 4.5
C) 2.5
d) 9.0