Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)
Answer:
55
Step-by-step explanation:
Hank is building a dog run for his dog. He wants the ratio of the length to the width of the dog run to be 5 : 2. If he builds the dog run so the length is 10.5 feet, which equation can be used to solve for the width, w? What is the value of w?
Answer:
you should multiply 2 by 2.1 with that you would get the width of the dog run.
The width would be 4.2
Step-by-step explanation:
Answer:
W = 4.2 ft
Step-by-step explanation:
By what number must we multiply 5 to get the actual length 10.5 feet?
5x = 10.5 ft, or x = 2.1 ft, where x is the length
The following is true: 5 : 2 = L : W, or
5 L
----- = -----
2 W
Since we have L (10.5 ft) and need W, we solve the above equation for W:
5W = 2L, so that W = (2/5)L
Since L = 10.5 ft, W must be W = (2/5)(10 1/2 ft)
2 21
Then W = --------- * -------- ft = 21/5 ft = 4.2 ft W = 4.2 ft
5 2
Lin runs 5 laps around a track in 8 minutes. How many minutes per lap is that? Answer as a decimal.
Answer:
.625
Step-by-step explanation:
Answer:
1.6
8min divided by 5 equals 1.6 so 1.6min for each lap
what is equivalent to 6x-3y=12
Answer: x= 1/2y+2
Step-by-step explanation:
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST AND GIVE MONEY . Help with number 1 only
Answer:
We start with 550 pieces of candy.
We know that for each kid that comes, the total number of candy will be reduced in 5 units.
Then if there are x children that came to take candy, the total number of candy left will be:
f(x) = 550 - 5*x
That is the function that represents this situation.
Now we want to find the zero of this function, this will be the value of x such that f(x) = 0.
So we only need to solve the equation:
f(x) = 0 = 550 - 5*x
5*x = 550
x = 550/5 = 110
The x-intercept will be (110, 0)
In this particular case, the information on the zero represents the number number of kids that must come and take candy in order to have no more pieces left in the bowl.
Rohan buys 1 dozen pens for 180 and Saurav buys 7 pens for 390. Who bought costlier pens
Answer:
saurav
Step-by-step explanation:
1 dozen of pen is = 12.
12 = 180
7 = 390
what is the answer to r - 4.5 < 11
Your friend's parents each have a job. Her mother's average weekly salary is $740 with a standard deviation of $43. Her father's average weekly salary is $535, with a standard deviation of $25. Find the average weekly salary of her parents combined, and the standard deviation of their combined salaries. You can assume that the amount of money her mother makes has no effect on her father's salary, and vice versa.
Answer:
M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.
What is the standard deviation?The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.
Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.
Let X denotes the weekly salary of her mother.
X ~ Normal(740,432)
Let Y denotes the weekly salary of her father.
Y ~ Normal(535,252)
and X and Y are independent.
the average weekly salary of your parents combined = E(X+Y)
= E(X) + E(Y) = 740 + 535 = 1275
the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474
the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739
Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.
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Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax?
Answer: the final price is $37.26
Step-by-step explanation:
Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:
A + A*(X%/100%)
And for a decrease, the equation is_
A - A*(X%/100%)
Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be
$49.75 - (30%/100%)*$49.75 = $34.83
Now we have an increase of the 7% because of the IVA, then the final price is:
$34.83 + (7%/100%)*$34.83 = $37.26
Place each pair of angles in the correct column.
Answer:
congruent: 1 & 8,
congruent & corresponding: , 4&8
supplementary: 2&5, 3&5, 3&4
i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped
DATE
PERIOD
Unit 3, Lesson 7: Cool-down
M
7.5: Cheetah Speed
(2 4
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah
running at a constant speed. Explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30
The required values are in the completed table which has been attached below.
What is the distance?Distance is defined as the product of speed and time.
Since the Cheetah's speed is constant, the speed must be consistent throughout the table.
To calculate the unknown time and distance, use the following formula:
Speed = Distance/Time = c
When distance = 120m, time = 4 secs
Speed = 120/4 = c
Speed = 30m/s = c
We are to get the distance when the time is 25 secs
Speed = Distance/Time
30 = d₂/25
d₂ = 30 × 25
d₂ = 750 m
To get the time in the third column
Time = Distance/Speed
t₃ = 270/30
t₃ = 9seconds
Therefore, the required values are in the completed table which has been attached below.
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Find the quotient.
415 ÷ −3.4=
Answer:
415 ÷ 3.4 = 122.058
Step-by-step explanation:
22.758 to the nearest foot
Given functions f (x) and g (x), the x-coordinate of the point of intersection of two functions is a solution of the equation f (x) = g (x).
A. The statement is true because when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a false statement results.
B. The statement is false because when you substitute the x-coordinate of the point of intersection in the equation f (x)=g(x), a true statement results.
C. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a true statement results
D.The statement is false because when you substitute the x-coordinate of the point of intersection in the equation f (x) = g (x), a false statement results.
The answe is C.
Explenation:
I did the question and
Answer:
C. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a true statement results
Can anyone solve this.
Answer:
x-1+5x+1=180, 6x=180, x=30
Step-by-step explanation:
3(-4x + 8) =
PLEASE help! i don’t know these questions
Answer:
3(-4x+8)= now distribute it -12 x+24 so the answer will be that
PLEASE HELP RN! 50 POINTS IF YOU ANSWER THIS IS DUE TODAY
Answer:
I graphed this...
Step-by-step explanation:
It is not linear because it is not a strait line and it doesnt go through the middle!
Hope this helps! :)
What is the answer to the last question
Answer:
b
Step-by-step explanation:
Answer:
the answer for the last one is A = 6
What is |-8|
0-16
O 8
O 8
O 16
If the slope is -2 and the y-intercept is -5, then the linear equation is y = -2x - 5.
True
False
Answer:
True
Step-by-step explanation:
y = mx + b,
where m = slope and b = y-intercept.
You have m = -2 and b = -5, so you get
y = -2x - 5
Answer: True
The price of the shirt is $18.50 but you have a coupon that lowers the price by 20%. What is the price of the shirt after using the coupon?
Answer:
After using the coupon the price of the shirt would be $14.80
Step-by-step explanation:
To take the 20% off you subtract 20 from 100 because its 20% off. which is 80 then multiply the price by 0.80
Which two points on the number line represent numbers that can be combined to make zero? A B C D -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 B and D A and B C and D A and A C
Answer: B and D
Step-by-step explanation:
B=-2
D=2
The negative and positive signs cancel out, leaving you with zero.
Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).
Select the create a description for the expression
Answer:
i think its a
Step-by-step explanation:
the x+3 is the sum and ofc the number is the number
PLZ ANSWER IF U KNOW THE ANSWER
Answer:
Scott
Step-by-step explanation:
you got it right, -20 absolute value is 20
Harry's amount of money is 75% of Kayla's amount of money
Answer:
Add vaslues
Step-by-step explanation:
How much money does kayla have?
The pond at a local park is home to a number of birds. ⅕ of the birds are white. ⅔ of the white birds are ducks. ¾ of the ducks are hungry. What fraction of the birds are hungry, white ducks?
Answer:
Step-by-step explanation:
the park has 1/5 white birds
out of this number, 2/3 are ducks
ducks=(1/5)/(2/3)=3/10
hungry ducks=(3/10)/(3/4)=6/15
help plssssssssssssssss
Answer:
the answer is c
Step-by-step explanation:
write five numbers that are greater than 75,330,000 but less than 75,410,000
Answer:
75,310,000
75,340,000
75,360,000
75,370,000
75,380,000
75,390,000
75,400,000
7-x/3x+12 is a rational expression. The domain of this expression is all real numbers except____?
Could someone help me on this question? Will mark brainliest.
Answer:
x = 9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6x+17+74+35=180
(6x)+(17+74+35)=180(Combine Like Terms)
6x+126=180
6x+126=180
Step 2: Subtract 126 from both sides.
6x+126−126=180−126
6x=54
Step 3: Divide both sides by 6.
6x /6 = 54 /6
x = 9