Step-by-step explanation:
It is given that,
Avril cycles 10 km at x km/h and then 14 km at y km/h.
We need to express the time for the journey as a single fraction.
We know that,
Speed = distance/time
or
time = distance/speed
Here, total distance = 10 +14 = 24 km/h
Total speed = x+y
So,
[tex]t=\dfrac{24}{x+y}[/tex]
Hence, this is the required solution.
Kevin earns $14.00 for writing 5 story problems. How much would Kevin earn if he wrote 100 story problems?
Answer:
280
Step-by-step explanation:
5 story problems ->$14
100 story problems -> ?
100÷5=20
20x14=280
Answer:
$280
Step-by-step explanation:
$14.00 divided by 5 would be 2.8
So he would earn $2.8 per problem
Well 2.8 x 100 is $280
So the answer would be $280
Hope this helps
two families that live 270 mi apart plan to meet at a park located between their two homes.both leave at 9:00 am but one family averages 12 mph faster than the other family.
if the families meet at the designated spot 2 and half hours later, determine the average rate of speed for each family
Answer:
Family 1 average rate of speed was 66 miles per hour, while Family 2 average rate of speed was 54 miles per hour.
Step-by-step explanation:
Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:
Family 1: ((270/2) + (12 x 2.5)) / 2.5
Family 1: (135 + 30) / 2.5
Family 1: 165 / 2.5
Family 1: 66 miles per hour
Family 2: (270/2) / 2.5
Family 2: 135 / 2.5
Family 2: 54 miles per hour
In this exercise we have to use the knowledge of speed to calculate the speed each family achieves, thus we find that:
Family 1 the average rate of speed for each family is 66 miles per hour.Family 2 the average rate of speed for each family is 54 miles per hour
Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:
So looking at family 1 we found that:
[tex]F_1:\frac{ ((\frac{270}{2.5})+(12*2.5))}{2.5} \\F_1: \frac{(135 + 30)}{2.5}\\F_1: \frac{165}{2.5}\\F_1: 66 \ miles \ per \ hour[/tex]
So looking at family 2 we found that:
[tex]F_2: \frac{(\frac{270}{2})}{2.5}\\F_2: \frac{135}{2.5}\\F_2: 54 \ miles \ per \ hour[/tex]
See more about speed at brainly.com/question/7359669
Pls help!!! Will mark Brainiest!
Factor each expression using the GCF. Check your work using the Distributive Property.
9. 3x + 12
10. 6x - 30
11. 20x - 16
12.-50x + 80
13. 77 + 22x
14. 21x - 14
Answer:
9.3(x+4)
10.6(x-5)
11.4(5x-4)
12.-10(5x-8)
13.11(7+2x)
14.7(3x-2)
Step-by-step explanation:
Solve p
0.6p+4.5=22.5
I need an answer before 11:59 pm
3 1/3 x 14 = 3 14/2 =
H3
Answer:
10?
Step-by-step explanation:
I'm assuming it wants you to simplify 3 14/2 if so, then the answer would be 3 14/2 = 10
[tex]3\frac{1}{3}\cdot \:14 =\frac{10}{3}\cdot \:14 =\frac{10\cdot \:14}{3} =\frac{140}{3} =46\frac{2}{3}[/tex]
Hope I helped you!Success!What is the LCD of 2/6 and 2/15? pleeease heeeellpppp
Answer:
the LCM is 30
Step-by-step explanation:
6x5=30
15x2=30
Answer:2/6=10/30
2/15=4/30
Step-by-step explanation:
I need help I will give you brainliest
9514 1404 393
Answer:
f⁻¹(x) = log(x)/log(16)
g⁻¹(x) = (2^x -1)/3
Step-by-step explanation:
In each case, you want to solve ...
x = f(y)
__
a. x = 4^(2y)
log(x) = 2y·log(4) . . . . . . . . take logs
y = log(x)/(2·log(4)) . . . . . . .divide by the coefficient of y
f⁻¹(x) = log(x)/log(16) . . . . simplify (4^2 = 16)
__
b. x = g(y)
x = log(3y +1)/log(2) . . . . use the change of base relation
x·log(2) = log(3y +1) . . . . multiply by log(2)
2^x = 3y +1 . . . . . . . . . . . take antilogs
2^x -1 = 3y . . . . . . . . . . . subtract 1
y = (2^x -1)/3 . . . . . . . . . . divide by the coefficient of y
g⁻¹(x) = (2^x -1)/3 . . . . . . . . note that "-1" is not part of the exponent of 2
Please help ASAP I need to solve AD
Answer:
6
Step-by-step explanation:
I would say 6 because that is a square and all sides on a square are equal.
Answer:
6
Step-by-step explanation:
All the sides of a rhombus are the same. Therefore, if you want to find AD its the same as AB which is 6
PLEASE HELP! 46 POINTS (hopefully you can answer it now)
Answer:
I think it might be the third one
Step-by-step explanation:
not totally sure tho
If 3/4 pounds of Fudge coast $6. 75, how much does 1 pound cost. Write as an equation.
What type of jobs offer commissions?
Answer:
Sales Engineers. ...
Wholesale and Manufacturing Sales Representatives. ...
Securities, Commodities, and Financial Services Sales Agents. ...
Advertising Sales Agent. ...
Insurance Sales Agent. ...
Real Estate Brokers and Sales Agents. ...
Travel Agents.
Step-by-step explanation:
What type of jobs offer commissions?
-Sales Engineers
-Wholesale and Manufacturing Sales Representatives
-Securities, Commodities, and Financial Services Sales Agents
-Advertising Sales Agent
-Insurance Sales Agent
-Real Estate Brokers and Sales Agents
-Travel Agents
Kevin can travel 22 1/2 miles in 1/3 hours. What is his average speed in miles per hour
Answer:
67 1/2
Step-by-step explanation:
22 1/2*3
URGENT
I put an answer already but I am not sure if it is right. I need a Confirmation.
Answer:
I think you are correct.
Step-by-step explanation:
Sorry if I am wrong
50 points! Please help fast I need this done ASAP!!! Only answer if you know it. Random answers will be reported!
When a virus is placed on a tobacco leaf, small lesions appear on the leaf. To compare the mean number of lesions produced by two different strains of virus, one strain is applied to half of each of 8 tobacco leaves, and the other strain is applied to the other half of each leaf. The strain that goes on the right half of the leaf is decided by a coin flip. The lesions that appear on each half are then counted. The data are given below:
Leaf Strian 1 Strain 2
1 31 18
2 20 17
3 18 14
4 17 11
5 9 10
6 8 7
7 10 5
8 7 6
What is the number of degrees of freedom associated with the apropriate t-test for testing to see if there is a difference between the mean number of lesions per leaf produced by the two strains?
a. 7.
b. 8.
c. 11.
d. 14.
e, 16.
Answer: a. 7
Step-by-step explanation: Degrees of Freedom is the number of values "allowed" to vary. For example:
In the experiment above, the sample has 8 tobacco leaves. Two strains will be applied to each leaf. The decision of which strain goes to the right or left is random. Each strain have 7 possible leaves it can be applied, because, for the last, the eight leaf, there is no choice.
Therefore, the degrees of freedom for this experiment is 7.
It can also be calculated as
df = n - 1
df = 8 - 1
df = 7
Solve the equation 2(x-3) = 14
y=1+sinx/cosx find dy/dx
What is the value of x?
A. 8.86 °
B. 17 °
C. 21.71 °
D. 33 °
Answer:
B. 17°
Step-by-step explanation:
7x + 28° + 33° = 180°{ being linear pair }
7x = 180° - 33° - 28°
7x = 119°
x = 17°
Hope it will help :)✔
there are 3 blue rings, 4 red rings, and 8 yellow rings write the ratio of red rings to all rings
to be honest i dont know all you said was ratio and some colored rings i dont know what im supposed to to that
Answer:
15:8 or 4:15 or 3:15
Step-by-step explanation:
Simplify by dividing (-3/8) -5/9
Answer:
[tex]\frac{-27}{40}[/tex]
Step-by-step explanation:
[tex](\frac{-3}{8})[/tex]÷[tex]\frac{5}{9}[/tex]
[tex]\frac{-3}{8}[/tex]×[tex]\frac{9}{5}[/tex]
[tex]\frac{-27}{40}[/tex]
What is the measure for angle z?
Answer:
there's no angle z theres only x but the answer for x is 133
Step-by-step explanation:
If x = 8 units, y = 3 units, and h = 9 units, find the area of the trapezoid shown above using decomposition.
A.
72 square units
B.
85.5 square units
C.
99 square units
D.
126 square units
Answer:
72
Step-by-step explanation:
because you do 8x9 and its 72
Answer:
72
Step-by-step explanation:
hope it helps
Brainliest to best answer :D
The difference of two numbers is 63. The sum of two numbers is 111. What are the two numbers?
Answer:
Step-by-step explanation:
Let b>a
b-a=63
b=63+a
a+b=111, substituting 63+a from above in this equation gives you
a+63+a=111
2a+63=111
2a=48
a=24, since b=63+a
b=63+24
b=87 so the two numbers are
24 and 87
Factor the polynomial as much as possible 25x^4-16y^14
Answer:
(4y7+5x2)(−4y7+5x2)
Step-by-step explanation:
Given sec θ = -2/4, find tan θ. Please explain with the Pythagorean theorem.
Answer:
Root 3
Step-by-step explanation:
Consider the following data. Click on the datafile logo to reference the data.
14 21 23 21 16 19 22 25 16 16 24 24 25 19 16 19 18 19 21 12 16
17 18 23 25
20 23 16 20 19
24 26 15 22 24
20 22 24 22 20
Summarize the data by filling in the frequency (to the nearest whole number), the relative frequency (3 decimals), and the percent frequency (1 decimal) values below.
Class Frequency Relative Frequency Percent Frequency 12-14 % 15-17 % 18-20 % 21-23 % 24-26 % (Total) %
Answer:
[tex]\begin{array}{cccc}{Class} & {Frequency} & {Relative Frequency} &{Percent\ Frequency}\ \\ {12-14} & {2} & {0.05} & {5\%}& {15-17} & {8} & {0.200}&{20\%}& {18-20} & {11} & {0.275} & {27.5\%}& {21-23} & {10} & {0.250} &{25\%}& {24-26} & {9} & {0.225}&{22.5\%} & {Total} & {40} & {1} & {100\%}\ \end{array}[/tex]
Step-by-step explanation:
Required
Complete the table.
First, group the data according to the class.
So, we have:
12-14:- 14 12 --- Frequency is 2
15 - 17:- 16 16 16 16 16 17 16 15 --- Frequency is 8
18 - 20:- 19 19 19 18 19 18 20 20 19 20 20 --- Frequency is 11
21 - 23:- 21 23 21 22 21 23 23 22 22 22 --- Frequency is 10
24 - 26:- 25 24 24 25 25 24 26 24 24 --- Frequency is 9
Next, fill the class frequency column
[tex]\begin{array}{cc}{Class} & {Frequency} \ \\ {12-14} & {2} & {15-17} & {8} & {18-20} & {11} & {21-23} & {10} & {24-26} & {9}\ \end{array}[/tex]
Relative frequency is calculated by dividing each frequency by the total frequency (40).
So, we have:
[tex]\begin{array}{ccc}{Class} & {Frequency} & {Relative Frequency}\ \\ {12-14} & {2} & {0.05} & {15-17} & {8} & {0.200}& {18-20} & {11} & {0.275} & {21-23} & {10} & {0.250} & {24-26} & {9} & {0.225}\ \end{array}[/tex]
The percent frequency is calculated by multiplying the relative frequency by 100%.
So, we have:
[tex]\begin{array}{cccc}{Class} & {Frequency} & {Relative Frequency} &{Percent\ Frequency}\ \\ {12-14} & {2} & {0.05} & {5\%}& {15-17} & {8} & {0.200}&{20\%}& {18-20} & {11} & {0.275} & {27.5\%}& {21-23} & {10} & {0.250} &{25\%}& {24-26} & {9} & {0.225}&{22.5\%} & {Total} & {40} & {1} & {100\%}\ \end{array}[/tex]
Jose receives a monthly salary of $2870. His annual salary is raised by 6%. What is his new annual salary?
Answer:
$3042.20
Step-by-step explanation:
2870 increase 6% =
2870 × (1 + 6%) = 2870 × (1 + 0.06) = 3042.2
Answer:
3042.20
Step-by-step explanation:
100%-> 2870
106%->
12 children in art class have to share 8 packages of clay so that everyone gets the same amount. How much clay can each child have?
Answer:8 y sobran 4
Step-by-step explanation:
8entre 4
Answer:
1.5
Step-by-step explanation:
A new house was purchased for $304 000. after 3 years, it's market value had increase by 28%. What is the new market value if the house?
Answer:
389,120
Step-by-step explanation:
please help me please i really need help please
Answer:
this is very hard, I do not understand such math, I don't know
Answer:
A
Step-by-step explanation:
We are adding together, so b and d can't be the answer. Fran has 2 fewer hats than elena , so Fran cannot be h or else she would have more hats.
So, a would have to be the answer.