The number of miles each person runs after an hour is;
Michael Anthony = 9 miles
Jocelyn = 8 miles
The person that runs the fastest is;
Michael Anthony with a speed of 0.15 miles per minute.
Michael-Anthony runs 3 miles in 20 minutes
Now formula for speed is;
Speed = distance/time
Thus;
Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute
Thus, in 1 hour = 60 minutes,
Distance covered = 3/20 × 60
Distance covered = 9 miles
Jocelyn runs 4 miles in 30 minutes
Speed of Jocelyn = 4/30 = 0.133 miles per minute
Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles
Read more about distance, time and speed relationship at; https://brainly.com/question/3267354
Solve. −6.6x=−4 What is the solution to the equation? Enter your answer as a simplified fraction in the box. x =
Answer:
20/33
Step-by-step explanation:
i took the test
Answer:
x = 20/33
Step-by-step explanation:
−6.6x = −4
Divide both sides by -6.6
x = -4/(-6.6)
x = 40/66
x = 20/33
Answer: x = 20/33
how much time is required to change 22Ns momentum by a force of 20N.
Answer: time is 1.1 sec
Step-by-step explanation:
Answer:
1.1s
Step-by-step explanation:
t=m/F
t=time, m=momentum, F=Force
t=22/20= 1.1s
pls help me with this question ...
Here is ur perfect answer
Answer:
x = 207
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
([tex]\sqrt{x}[/tex] )² + 7² = 16²
x + 49 = 256 ( subtract 49 from both sides )
x = 207
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Chloe's birthday.
Answer:
3 chocolates each night
Step-by-step explanation:
C-3
t-1
Find the values of x and y.
Answer:
x= 38
y= 71
Step-by-step explanation:
The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.
The two sides marked with a "dash" are said to be equal.
STEP I:If we label off the triangle as ABC with AD being the extended length (containing 108°).
We'll get,
AB = AC
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP II:*Property*
"If two sides of a triangle are equal their corresponding base angles are equal too."
=> ∠BAC = ∠BCA . . . . (¡)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP III:From the figure, ∠BCA is equal to y.
*Property*
"Two angles on a straight line sum up to 180°"
∠BAC can be found out by subtracting 109° from the straight angle (180°).
=> ∠BAC = 180 - 109
=> ∠BAC = 71°
Substituting these values in eqn. (¡):
71 = y
Hence, the value of y is 71°
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP IV:*Property*
"The exterior angle(angle on the extended side) of a triangle is equal to the sum of it's interior opposite angles."
Here,
Interior angles = x and y (= 71)Exterior Angle = 109°=> 109 = x + 71
=> 109 - 71 = x
=> x = 38°
Hence, the value of x is 38°.
need helpi dont really get it to need help
Answer:
C
Step-by-step explanation:
There are 12 months in 1 year , then
3 lots of 4 months in 1 year and
3 × 3 = 9 lots of 4 months in 3 years
cost of lessons = $174 × 9 = $1566 → C
If you make an initial deposit of $1000 in an account that yields 5% interest
annually. Find your balance at the end of a year.
Show your work !
SI
$1 000 × 4 % × 10 = $400
CI
($1 000 × 1.04 ^10) - $1 000 = $1 480.24 - $1 000 = $480.24
Interest on interest only applies to Compound Interest.
Excluding year 1, which yields $40 [the same as SI] the interest on interest yields $480.24 - $40 = $440.24
- BRAINLIEST answerer
The solution is $ 1050
The interest on a deposit of $ 1000 at 5% for an year will be $50 and the amount after one year is $ 1050.00
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as S
Now , the initial amount or principal be P = $ 1000
The rate of interest R = 5 %
The time period T = 1 year
So , the simple interest is given by the equation
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest S = ( 1000 x 5 x 1 ) / 100
On simplifying the equation , we get
Simple Interest S = 5000/100
Simple Interest S = $ 50
And , the amount after one year = Principal + Simple Interest
The amount after one year A = $ 1000 + $ 50
The amount after one year A = $ 1050.00
Hence , the amount is $ 1050.00
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help it’s due monday number 12
Answer:
a. 5
Step-by-step explanation:
Given that Sophia bought 3 bags of candy, and each bag has 15 pieces:
[tex]3*15 = 45[/tex]
Sophia has 45 total pieces of candy.
If Sophia would like to fill 9 party bags with the candy she has bought, she must divide the 45 total pieces of candy into the 9 party bags:
[tex]45[/tex] ÷ [tex]9=5[/tex]
Therefore, each party bag will have 5 pieces of candy in it.
Answer:
A. 5
Step-by-step explanation:
A, since you can follow these steps:
First, find how many total pieces of candy must be distributed. This is always what needs to be answered in this sort of question.
In this case, it is 3 bags of candy ⋅ 15 pieces of candy in each.
The result - from 3(15) - is 45 total pieces of candy.
Now, we see that we're distributing that value among 9 people (this is another correct way of wording it).
So the result is 45/9, which then results in 5 pieces of candy for 9 guests.
I hope this helped a bunch! Tell me if you need any further assistance...
( :
Carey and Patrick both borrowed money from Melinda. Carey owes Melinda $25.00. Patrick owes Melinda 3/4 the amount that Carey owes. How much does Patrick owe Melinda?
Answer:
$18.75
Step-by-step explanation:
multiply 25 * 3/4 ( 0.75) and you get 18.75
PLEASE ANSWER 20 POINTS
Answer:
the pic wont load for me
Step-by-step explanation:
You deposit $5000 into a savings
account. If you cam a simple
interest rate of 3%, how much
interest will you earn after 5 years
you're so cool! I hope you have an awesome day!
Answer:
The functions each have a positive Slope
a.)True, False
Step-by-step explanation:
Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4
Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2
These are both positive but 4 does not equal 2
a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0
When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.
Hope this helps and makes you have an Awesome Day!
HELP PLS! Suppose the year of car accidents per day in Wilmington NC has been recorded for the past year. The table below is a probability distribution table representing the data collected.
1) what is the probability that on a randomly selected day there were no accidents?
2) find the probability there will be at least 2 accidents
3) on any given day how many accidents should the Wilmington police expect to have.
According to the discrete distribution given:
1) There is a 0.18 = 18% probability that on a randomly selected day there were no accidents.
2) There is a 0.7 = 70% probability that there will be at least 2 accidents.
3) On any given day, the Wilmington police should expect to have 2.03 accidents.
The distribution is:
[tex]P(X = 0) = x[/tex]
[tex]P(X = 1) = 0.12[/tex]
[tex]P(X = 2) = 0.32[/tex]
[tex]P(X = 3) = 0.25[/tex]
[tex]P(X = 4) = 0.13[/tex]
Item 1:
The sum of the probabilities has to be 100% = 1, hence:
[tex]x + 0.12 + 0.32 + 0.25 + 0.13 = 1[/tex]
[tex]x + 0.82 = 1[/tex]
[tex]x = 0.18[/tex]
0.18 = 18% probability that on a randomly selected day there were no accidents.
Item 2:
This probability is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.32 + 0.25 + 0.13 = 0.7[/tex]
0.7 = 70% probability that there will be at least 2 accidents.
Item 3:
The expected value is the sum of each outcome multiplied by it's respective probability, hence:
[tex]E(X) = 0.18(0) + 0.12(1) + 0.32(2) + 0.25(3) + 0.13(4) = 2.03[/tex]
On any given day, the Wilmington police should expect to have 2.03 accidents.
A similar problem is given at https://brainly.com/question/25653146
Find the side length of the triangle 4x+8=3x+12
Answer:
I think it might be 4.
Step-by-step explanation:
:)
I found something that says 6x or something if that helps?
I hope you get it right!!!
What is the ratio of apples to bananas?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
3 :4
Answer:
a
Step-by-step explanation:
it has the same a prime bundle
How to do multiplication large numbers.
Answer:
The main reason to know the multiplication table is so you can more easily multiply larger numbers. For example, suppose you want to multiply 53 x 7. Start by stacking these numbers on top of another, aligning the ones place. Draw a line underneath, and then multiply 3 by 7. Because 3 x 7 = 21, write down the ones digit (1) and carry the tens digit (2) to the tens column:
Next, multiply 5 by 7. This time, 5 x 7 = 35. But you also need to add the 2 that you carried over, which makes the result 37. Because 5 and 7 are the last numbers to multiply, you don’t have to carry, so write down the 37 — you find that 53 x 7 = 371:
When multiplying larger numbers, the idea is similar. For example, suppose you want to multiply 53 by 47. Be sure to align the stacked numbers by the ones place. (The first few steps — multiplying by the 7 in 47 — are the same, so pick up the next step.) Now you’re ready to multiply by the 4 in 47. But remember that this 4 is in the tens column, so it really means 40. So to begin, put a 0 directly under the 1 in 371:
This 0 acts as a placeholder so that this row is aligned properly.
When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying by the hundreds digit
simplify |-4/5-1/10| + |-3/4+5/2|
Answer:
2 13/20
Step-by-step explanation:
53/20
Simplify
2 13/20
True or False: If I am a boy and you are a person, what color is the leaf in the winter time on a pole?
What? hold up my brain hurts! you made me confused!!
Answer:
There are no leaves in the winter except on evergreens and those are green.
Step-by-step explanation:
find the sum of the first 8 terms of the geometric sequence 2,4,8,16,..
(with solution)
PA HELP PO THANKYOUU
Answer:
I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.
2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510
DIRECTIONS:give the formula for each surface area.
pls answer thank you!!
[tex]\boxed{\sf Area_{(Square)}=(side)^2}[/tex]
[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]
[tex]\boxed{\sf Area_{(Rhombus)}=\dfrac{1}{2}\times Diagonals}[/tex]
[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}[/tex]
Four equations are graphed on the coordinate grid: which set of equations has (-2,5) as its solution?
A wooden beam is (3y2 + 7y+1) meters long. If a piece of length (y2 - 10) meters is cut off, express the length of the
remaining piece of beam as a polynomial in y.
Answer:
2y^2 +7y +11
Step-by-step explanation:
The remaining length is the difference between the original and the length cut off:
remaining = whole length - piece length
remaining = (3y^2 +7y +1) -(y^2 -10)
= 3y^2 +7y +1 -y^2 +10 = (3 -1)y^2 +7y +(1 +10)
remaining = 2y^2 +7y +11
find x if 2^x=8^3x-8
Step-by-step explanation:
First we have to same the bases.
As we know 8=2^3.
Replace 8 with 2^3.
Like this .
2^3x=2^3(2x+1).
Now 3x=3(2x+1) distribute 3 by the Barker.
3x=6x+3.
6x+3=3x.
6x-3x=-3.
3x=-3.
X=-1.
the first term of an arithmetic sequence is a b and the second term is a c. What is the explicit formula to find the nth term of the sequence?
Step-by-step explanation:
every new term is created by adding a constant (I call here x) to the previous term.
a1 = b
a2 = c = a1 + x = b + x
a3 = a2 + x = a1 + 2x = b + 2x
so, we see
an = a1 + (n-1)x = b + (n-1)x
from a1 and a2 we know
c = b + x
x = c - b
so, ultimately we have
an = b + (n-1)(c-b)
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term of an arithmetic sequence is b and the second term is c.
a₁ = b
a₂ = c
Then the common difference is given as,
d = a₂ - a₁
d = c - b
Then the explicit formula to find the nth term of the sequence will be given as,
aₙ = b + (n - 1) × (c - b)
aₙ = b + cn - c - nb + b
aₙ = cn - nb + 2b - c
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
More about the arithmetic sequence link is given below.
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A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 decimal places)
Answer:
41.67
Step-by-step explanation:
Using the tangent on the stick with shadow:
tan(θ) = [tex]\frac{1}{0.6}[/tex]
Using the tangent on the building:
tan(θ) = [tex]\frac{h}{25}[/tex]
⇒ h = 25 · tan(θ)
= 25 · [tex]\frac{1}{0.6}[/tex]
⇒ h = 41.66... ≈ 41.67
Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S
Answer:
Opposite: Line SQ
Adjacent: Line SR
Hypotenuse: Line RQ
Step-by-step explanation:
i need help again...
Answer:
2 again and the next one is 3
Step-by-step explanation:
Explain how you know when you can factor to solve quadratics as opposed to using the square root method
Answer:
If there's a common factor, divide both sides of the equation by that number to simplify the situation. If b = 0 (no bx term), go to the square root method. (if c is positive, there are no solutions). If c = 0, then one of your solutions is x = 0
Step-by-step explanation:
hope this helps!!!!
A circle has a diameter of 62 meters. What is the circumference of the circle
Answer:
the circumstance is 194.78
YAll plssssss help me with 5 plsssssssss
Answer:
8 and 2
Step-by-step explanation:
If you add them together you get 10. (8 + 2 = 10)
If you multiply them you get 16. (8 x 2 = 16)
Have a great day! (I'd love brainiest if you could give it to me!)