Given that the cyclist rides distances of 5 miles and 10 miles due to the wind, the equation that can be used to calculate the speed is therefore;
[tex]\frac{10}{v + 4} = \frac{5}{v - 4} [/tex]
How can the correct equation be found?The distance the cyclist rides against the wind = 5 miles
The distance the cyclist rides with the wind = 10 miLes
Let t represent the time it took the cyclist in both directions, we have;
[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]
Where;
v = The cyclist's average rate of speed
Which gives;
10 × (v - 4) = 5 × (v - 4)
10v - 40 = 5v - 20
5v = 20
v = 20 ÷ 5 = 5
The equation that can be used to calculate the cyclist's average rate of speed is therefore;
[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]
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Which one is it? Im stumped.
Answer:
rational
Step-by-step explanation:
Hope this helps!
If not I am sorry
let's keep in mind that that same/same = 1 always, so then we can say
[tex]\cfrac{spaghetti}{spaghetti}~~ = ~~\cfrac{hippopotamus}{hippopotamus}~~ = ~~\cfrac{meatballs}{meatballs}~~ = ~~\cfrac{dog}{dog}~~ = ~~\cfrac{0.\overline{55}}{0.\overline{55}}~~ = ~~\textit{\huge 1}[/tex]
well, "1" is a whole number
"1" is also an integer oddly enough
"1" can be written as a ration like 1/1, so is also rational.
FLVS
Use the map to answer the question that follows.
Uranium
Silver
Oil
Lead & Zinc
Iron
World Mineral Resources
Diamond
Bauxite
Coal
Copper
Gold
How do the mineral resources in North America compare with the rest of the world?
Previous Question
Answer:
They have more resources and yeah they just do
Step-by-step explanation:
I have no clue why im just guessing
what is the value of the expression (-2) to the third power (-2) to the second power
Answer:
-2 to the third power is -8
-2 to the second power is -4
Step-by-step explanation:
-2 to the 3 power = -2× -2×-2
-2 to the second power is -2×-2
When buyers buy less of a good, the manufacturer may reduce the ______ of the good or cut back its ____
Answer:
Price/Cost
Step-by-step explanation:
They may reduce the cost due to the lack of people buying that product, or vice versa.
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 1/2
Step-by-step explanation:
14 inch - 5 1/2 inches = 8 1/2 inches
Aba's dog grew 8 1/2 inches.
Answer:
8.5 Inches, 2.78 pounds approximately
Step-by-step explanation:
14- n = 5.5. In this case you will have to subtract 5.5 from 14. 14 - 5.5 = 8.5. You get 2.5 pounds because, 1.10 x 2 = 2.20. 2.75 - 2.20= .55. $1.10 is 70 cents. 55/70 = 11/14= is around .78. 2+.78 = 2.78
PLEASE HELPPPPPPPPP!!!!! ILL GIVE BRAINLIST
y=3x+2
Given x = 5
y = ?
Answer:
17
Step-by-step explanation:
replace x with 5
3*5+2
next you use pemdas
you multiply before you add
3*5=15
15+2=17
Option a to buy a house has a monthly cost of 618 dollars, up-front cost of 24,000 dollars, and advantages of a home equity and a yard for a pet. option b to rent close to work has a monthly cost of 950 dollars, up-front cost of 1,900, and advantages of convenient location, garage, and pool. option c to rent further out has a monthly cost of 600 dollars, up-front cost of 1,200, and advantages of 2 bedrooms, light-rail, and pool. which housing choice fits within your recommended monthly budget of $650-780? which option requires you to have at least $24,000 saved?
Option c is the best option that can be recommended since it has the least total cost for a year.
What is the up-front cost?An upfront cost is an initial sum of money owed in a purchase or business venture.
Option a:
Monthly cost = $618
Up-front cost = $24000
Total cost for a year= 618*12+24000 = $31416
Option b:
Monthly cost = $950
Up-front cost = $1900
Total cost for a year= 950*12+1900= $13300
Option c:
Monthly cost = $600
Up-front cost = $1200
Total cost for a year= 600*12+1200= $8400
Therefore, option c is the best option that can be recommended since it has the least total cost for a year.
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Answer:
1st question is A and C only, 2nd question is A only
Step-by-step explanation:
Got it right on edge. Have a great day :)
The area and the perimeter of a square are equal. Find the side
length of the square.
please help me
Answer:
side length = 4
Step-by-step explanation:
Let x = the side length
Area is x•x, which is x^2.
Perimeter is x+x+x+x, which is 4x.
x^2 = 4x
x^2 - 4x = 0
Factor.
x(x-4) = 0
x = 0 or x = 4
Discard 0 as an answer as it is not useful.
x = 4.
Area = 4^2 = 16
Perimeter = 4(4)= 16
The side length is 4.
HELPPPP URGNT!!!!!!!
What is the formula of area of circle when diameter is given?
Answer:
[tex]\pi (\frac{diameter}{2} )^{2}[/tex]
Step-by-step explanation:
The formula is pretty similar to the standard equation, π·r², since the diameter is just the radius times two.
Hope that helps! :)
What is the simplified form of the following expression? Assume x>0.
3
2X
/
4/bx
2X
4/24 x²
2X
4/244²
1bx4
412x2
Answer:
I think it's the fourth one.
evaluate the expression when x = -6: x^2 + 7x + 8
Answer:
2
Step-by-step explanation:
Basically you plug in -6 where all the x's are.
(-6)² + 7(-6) + 8, Multiply -6 * -6 (AKA (-6)²)
36 + 7(-6) + 8, Multiply 7 by -6
36 - 42 + 8, Add 36 + 8
44 - 42, Subtract
2
What is c in this ixl
Answer:
11
Step-by-step explanation:
the area of a triangle is bc/2
b = 8.8
c = ?
area = 48.4
48.4 = 8.8c/2
96.8 = 8.8c
c = 11
Please mark as brainliest!
11
Step-by-step explanation:
[tex] \frac{1}{2} \times 8.8 \times c = 48.4[/tex][tex] \frac{8.8 \times c}{2} = 48.4 \\ 8.8 \times c = 48.4 \times 2 \\ 8.8 \times c = 96.8 \\ c = \frac{96.8}{88} \\ c = 11[/tex]mark me brainiest please
Name a value for x that will make the statement true.
x<-4
Answer:
-5
Step-by-step explanation:
-5 is less than -4, and -4 is greater than -5.
Negative numbers become smaller to the left on the number scale.
There are infinite possible answers to this. :)
Answer:
-5
Step-by-step explanation:
-5 is less than -4 and -4 is bigger than -5
Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Note: the first term should be b(1).
b(n)=
The geometric sequence can be represented explicitly or as recursions
The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
How to determine the explicit formula?The sequence is given as:
2, 6, 18, 54, ....
Start by calculating the common ratio (r)
r = b2/b1
This gives
r = 6/2
Evaluate the quotient
r = 3
A geometric sequence is represented as:
b(n) = b1 * r^(n-1)
This gives
b(n) = 2 * 3^(n-1)
Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
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Find the cosine ratio for ∠K
a. 4/5
b. 5/3
c. 3/5
d. 4/3
Answer:
As Per Given Information
we have been asked to determine the consine ratio of ∠K .
[tex] \bf \: cos \: k = \cfrac{Base}{Hypotenuse} [/tex]
with respect to ∠K .
substitute the given value & let's solve it for k .
[tex] \longrightarrow\sf \: cos \: k \: = \cfrac{30}{50} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{ 3\cancel0}{5 \cancel0} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{3}{5} [/tex]
Therefore,
Cosine ratio for ∠k is 3/5Your answer is (c) 3/5
P(x) = x^2-4x+4 tại x =2
If [tex]P(x) = x^2-4x+4[/tex] and x =2
--> [tex]P(2) = 2^2-4(2)+4=4-8+4=0[/tex]
Hope that helps!
A 2-column table with 4 rows. the first column labeled elevation (meters) has entries 500, 1000, 1500, 2000. the second column labeled temperature of air (degrees celsius) has entries 11.8, 8.5, 5.3, 2.0. as elevation increases, temperature decreases. at which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters
The sound will travel fastest at an elevation of 500m,
Elevation Temperature
500m 11.8°C (MAXIMUM)
1000m 8.5°C
1500m 5.3°C
2000m 2.0°C
Why do sounds travel at a faster rate at high temperatures?Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.
So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.
So, Sound will travel fastest at 500m elevation.
Therefore, At an elevation of 500m, the sound will travel fastest.
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Answer:
500 meters
Step-by-step explanation:
The population of the town of fort mill was 10,811 in 2010. what is the population in 2016 if it grew 7.5% per year
Answer:
16,688 people lived in that town in 2016.
Step-by-step explanation:
10,811 + 7.5% = 11,621.8 = 11,622 (2011)
11,622 + 7.5% = 12,493.6 = 12,494 (2012)
12,494 + 7.5% = 13,431.05 = 13,432 (2013)
13,432 + 7.5% = 14,439.4 = 14,440 (2014)
14,440 + 7.5% = 15,523 (2015)
15,523 + 7.5% = 16,687.225 = 16,688 (2016)
prove that :
opposite side of parallelogram are equal
Step-by-step explanation:
Given: A parallelogram ABCD with AC as its diagonal
To prove: <A=C & <B=<D
Proof:
Opposite sides of parallelogram is parallel
So, AB || DC and AD || BC.
Since AB || DC
& AC is the transversal
< BAC = < DCA (Alternate angles...(1) )
Since AD || BC & AC is the transversal
<DAC = < BCA (Alternate angles)...(2)
when adding equation 1 and 2
<A=<C
In similar case,
<B=<D
Eif=3:7
f: g=2:3
Work out
eig
Give your answer in its simplest form
The relationship between e, f and g is an illustration of ratio
The ratio e : g is 2 : 7
How to determine e : g?The given parameters are:
e : f = 3 : 7
f : g = 2 : 3
Multiply e : f by 2.
So, we have:
e : f = 6 : 14
Multiply f : g by 7.
So, we have:
f : g = 14 : 21
Merge both ratios
e : f : f : g = 6 : 14 : 14 : 21
Remove repetition
e : f : g = 6 : 14 : 21
Remove f
e : g = 6 : 21
Divide by 3
e : g = 2 : 7
Hence, the ratio e : g is 2 : 7
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in a mixed school, the ratio of boys to girls was 15:11. if there were 435 boys. What is the number of girls
Answer:
15:11 ,where 15 = 435
So, 11 = 435×11//15 = 29×11 = 319
Hence, No. of girls = 319
Answer:
319 girls
Step-by-step explanation:
Given
Ratio of boys : girls = 15 : 11No. of boys = 435Solving
Let g be the number of girls15/11 = 435/gg = 435 x 11 / 15g = 29 x 11g = 319 girlsStep by step please
Solve the System of Equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answer:
b no. is the correct answer
In 2005, 12.2 out of every 50 employees at a company were women. If there are 48,744 total company employees, estimate the number of women.
Answer:
12000
Step-by-step explanation:
Using this information, you can make a ratio: 12.2/50 = x/48744
By simplifying this ratio you get that 50x = 594676. Dividing both sides by 50 you get about 11900, which you can round up to 12000
Answer:
11,894 women
Step-by-step explanation:
ratio of women to employees = 12.2 : 50
Let x = number of women employees to 48744 employees
12.2 : 50 = x : 48744
⇒ 12.2 / 50 = x / 48744
⇒ 0.244 = x / 48744
⇒ x = 0.244 · 48744
⇒ x = 11893.536
⇒ x = 11894 (nearest whole number)
Therefore, there are approximately 11,894 women in a company with a total of 48,744 employees
Deanna is planning to use 1.5ft by 2ft tiles to finish her kitchen floor. If her floor is 8ft by 10ft, how many tiles will she need?
In 2009, the population of the US was approximately 306,370,370. The number of US live births in 2009 was 4,136,000. The birth rate in 2009, which takes into account changes in the population, fell to _____ births for every 1,000 people. (Fill in the blank. Round answer to one decimal place. Enter your answer in the form xx. X)
Using proportions, it is found that the birth rate fell to 13.5 births for every 1000 people.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, for 306,370,370 people, there were 4,136,000 births. How many births were there for 1,000 people? The rule of three is given by:
306,370,370 people - 4,136,000 births
1,000 people - x births
Applying cross multiplication:
306370370x = 1000 x 4136000
x = 1000 x 4136000/306370370
x = 13.5
The birth rate fell to 13.5 births for every 1000 people.
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A certain bacterium measures 2. 7 × 10–2 mm. A colony contains 5. 3 × 103 of the bacteria. What is the total length of this colony if it forms a straight line?
The length of the colony is the product of 5. 3 × 10^3 and the length of the bacteria
The total length of the colony is 143.1 mm
How to determine the length of the colony?The given parameters are:
Bacteria = 2.7 × 10^–2 mm.
Colony = 5. 3 × 10^3 of the bacteria
So, the length (L) of the colony is:
[tex]L = 5.3 * 10^3 * 2.7 * 10^{-2[/tex]
Rewrite as:
[tex]L = 5.3 * 2.7* 10^3 * 10^{-2[/tex]
Evaluate the products
[tex]L = 14.31* 10[/tex]
Evaluate the product
[tex]L = 143.1[/tex]
Hence, the total length of the colony is 143.1 mm
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Miranda is calculating her expected expenses for her week long trip to Turkey. Her flight costs 928 TL (Turkish Lira), her lodging costs 755 TL, and she has allowed 814 TL for food and spending money. What is Miranda’s total? a. 4,762 TL b. 2,497 TL c. 869 TL d. 641 TL.
The addition is the process of adding two numbers and the result is the combined value of the two numbers. Miranda's total will be equal to 2497 Turkish lira.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
The total cost will involve the cost of Miranda's flight, her lodging costs, and the cost of food and other such spending. Therefore, her total is the sum of all of these expenses,
Miranda's Total
= cost of flight + lodging costs + cost of food and other spending
= 928 ti + 755 ti + 814 ti
= 2497 ti
Hence, Miranda's total will be equal to 2497 Turkish lira.
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7. Jack has a piece of string that is 48 in long. He divided it into 4 equal pieces of 1 foot each. What is the length of each piece of string?
Answer:
12 inches
Step-by-step explanation:
1 foot=12inches
48/12=4
Each of those pieces are 1 foot meaning each string is 12 inches.