The equation that relates the number of hours you run and the number of hours you walk to the total length of the trail is = 5x + 2y = 10.
We have a trail that is 10 miles long. You run 5 miles per hour and walk 2 miles per hour. Let y be the number of hours you walk and let x be the number of hours you run.
We have to write an equation that relates the number of hours you run and the number of hours you walk to the total length of the trail.
What is Equation Modelling ?Equation Modelling is the process of deriving a mathematical relation involving the variables, constants and operations used between them as mentioned in a mathematical statement.
According to question, we have -
The speed at which you run = 5 miles per hour.
The speed at which you walk = 2 miles per hour.
Total length of trail = 10 miles
Then -
Distance covered by you for running x number of hours = 5x
Distance covered by you for walking y number of hours = 2y
Since the total length of trail is 10 miles. Therefore -
5x + 2y = 10
Hence, the equation that relates the number of hours you run and the number of hours you walk to the total length of the trail is =
5x + 2y = 10
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Suppose that you borrow $13,000 for 5 years at 7% toward the purchase of a car.
The monthly payment is $
The total interest for the loan is $
The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.
To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.
So,
Interest = $13,000 x 0.07 x 5
Interest = $4,550
It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.
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help please and thank you
Answer:
1) 9x
2) 3b
3) 3m
4) 5a
5) 7x
6) 3a + 5b
7) 9x - 4
8) 2b + m
9) 13a + b + 6c
10) 9b + 1
11) 7p
12) 2a + b -10
Step-by-step explanation:
Need help it’s due in 10 minutes please help
Answer:
3x°
Step-by-step explanation:
50°+2x°+3x°=180°
50°+5x°=180°
collect the like terms
5x°=180°-50°
5x°=130°
x°=130°÷5°
x°=26°
2x°=2×26°=52°
3x=3×26°=78°
Prove that "If α is an ordinal and β ∈ α, then β is an ordinal" ?
If α is an ordinal and β ∈ α, then β satisfies all three properties of an ordinal. Therefore, β is also an ordinal.
To prove the statement "If α is an ordinal and β ∈ α, then β is an ordinal," we need to demonstrate that if α is an ordinal and β is an element of α, then β satisfies the three properties of an ordinal:
Well-Ordering: Every element of β is strictly well-ordered by the membership relation ∈. This property holds because α is an ordinal and satisfies the well-ordering property, and β being an element of α inherits this property.
Transitivity: For any two elements γ and δ in β, if γ ∈ δ and δ ∈ β, then γ ∈ β. Since β is an element of α and α is transitive, the transitivity property carries over to β.
Trichotomy: For any two elements γ and δ in β, either γ ∈ δ, δ ∈ γ, or γ = δ. Again, this property is inherited from α, as β is an element of α.
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Please help!
Identify the solution(s) of 2x^3…
Answer:
According to my algebra calculator: -4.35808478
Step-by-step explanation:
I would say -4.
Not 100% sure.
I hope this is right!
Answer:
The answers are x=1 or x=0 or x= -2
what is 4649+3383473
Answer:
3388122
Step-by-step explanation:
Answer:
3388122
Step-by-step explanation:
just add them together or use a calculator
1. Classify each statement as true or false for all real numbers a, b,
and c.
naw
g4jtnbjtrnjbnrtibnrijnbngtrjnb jtkgnbrbgbn
Find the length of the third side. If necessary, round to the nearest tenth.
9. 5 I need the answer ASAP
Answer:
10.3 units------------------------
Let the missing side be x.
Use Pythagorean to find its value:
x² = 9² + 5²x² = 81 + 25x² = 106x = √106x = 10.295 ≈ 10.3 unitswrite 100 times 100 as multiplying 10 to a powers by 10 to a power.
Step-by-step explanation:
100 equals the exponential expression 10^2. So 100 times 100 can be written as an expression: 100 × 100
10^2 × 10^2
The product can be written as 10² x 10².
What is the power of ten?Any whole-valued (integer) power of 10 is the power of 10. To put it another way, when the power is any positive integer, the power of 10 indicates that the number 10 has been multiplied by itself n times. Therefore, the long-form 10 power is the number 1, followed by n zeros, where n is the number greater than or equal to 0.
Given 100 times 100
which is
100 x 100
to convert in power of 10,
Move the decimal point to the left side of its original position and place it after the first digit if the whole number greater than 10 is to be converted into the power of 10 Math. The number of places the original decimal point was moved will be represented by the power of 10, which will be positive as it moves to the left.
so 100 can be written as 10²,
and 100 x 100 is written as
10² x 10²
Therefore 100 times 100 is written as 10² x 10².
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Bashir has a loyalty card good for a 10% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $11? Round to the nearest cent.
The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.
So, Each good he buys at (100 - 10)% = 90% of the value before tax.
He wants to buy some items that cost $11 before the discount and tax.
Therefore the amount he has to pay is,
= (90/100)×11.
= $9.9
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Solve this for 20 points be fast!!
Don’t mind the scribes
Answer:
One cubed shape block volume = 0.125 cubic feet
Step-by-step explanation:
Since the edge length of each block is 1/5 the edge length of the storage container, we do this:
1/5 x 2.5 = 0.5
Now we know that the edge length of each block is 0.5 feet. To find the volume of it, we do this:
0.5^3 = 0.125
The volume of one cubed shape block is 0.125 cubic feet.
What is the complementary angle
of 65 degrees
The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.
Answer:
25°
Step-by-step explanation:
Two angles are complementary if the sum of the angle measures add up to (90) degrees. To find the complementary angle of a given angle, subtract the given angle from (90) degrees, the result will be the complementary angle.
(90) - (65) = (25)
For a cat that weighs 15 pounds, rank the following scale weights from least
accurate to most accurate.
15.10 pounds
13.9 pounds
16.2 pounds
15.01 pounds
Answer:
16.2 pounds (least accurate)
13.9 pounds (2nd least accurate)
15.10 pounds (2nd most accurate)
15.01 pounds (most accurate)
Step-by-step explanation:
I hope this helps :)
Answer:
16.2 pounds
13.9 pounds
15.10 pounds
15.01 pounds
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Answer: The third side has a length of 25 units.
Step-by-step explanation:
In a right triangle, we can use \(a^2+b^2=c^2\) to find the side length of c.
\(15^2+20^2=c^2\)
225 + 400 = 625
\(\sqrt 625\) = 25
Therefore, c = 25.
I hope this helps!
PLS HELP ME WITH THIS Find the ratio of squares to total shapes in the diagram below. 40 POINTS!
it literally says just count them all lol just like this we see there are 9 squares correct? and there are 12 circles so the ratio is 9:12 put 9 in the first box and 12 in the next just ask me if you need more help
You stop at the grocery store on the way home to pick up a few items. Round to the place of the first digit the items valued at $3.72, $.41, $1.28, and $.65.
Answer: 3.7 + 0.41 + 1.3 + 0.7
Step-by-step explanation: for 3.7 you see the number after 7 is 2 and that tells u to round down
0.41 - the digit after the 4 is 1 so u round down
1.3 - the digit after the 2 is 8 so u round up
0.7 - the digit after the 6 is 5 so u round up
What are the roots of this quartaic equation?
-102 + 12r - 9 = 0
Answer:
\(r = \frac{37}{4}\)
I hope this helps!
Answer:
0
Step-by-step explanation:
Type the correct answer in each box.
Day Amount
1
$26
2
$23
3
$31
4
$26
5
534
The table shows the amount Bill spent on 5 days last week.
The mean of the amount he spent is $
The mean absolute deviation is $
Reset
Next
The mean absolute deviation is $106.6.
Given the table shows the amount Bill spent on 5 days last week.
DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.
Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,
the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:
Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406
The sum of all absolute deviations is:
10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.
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In the diagram at right, DE is a midsegment of triangle ABC. If the area of triangle ABC is 96 square units, what is the area of triangle ADE? Explain how you know.
The area of triangle ADE is,
⇒ A = 48 square units
We have to given that,
In the diagram , DE is a midsegment of triangle ABC.
And, The area of triangle ABC is 96 square units
Now, We know that,
Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.
Hence, the area of triangle ADE is half the area of triangle ABC,
That is,
A = 96 / 2
A = 48 square units
Thus, The area of triangle ADE is,
⇒ A = 48 square units
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
The coordinates of vertex D in the parallelogram are (-7, -10).
We have,
To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.
One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.
Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:
Find the vector representing one of the sides of the parallelogram.
We can use the vector AB.
Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)
= (6 - 8, -4 - 2)
= (-2, -6)
Add this vector to point C to find the coordinates of D.
Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)
= (-5 - 2, -4 - 6)
= (-7, -10)
Therefore,
The coordinates of vertex D are (-7, -10).
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The constant of proportionality is always the point ____________, where kis the constant of proportionality.
Answer:
The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.
Step-by-step explanation:
Let's take as example a linear function of the form: y = kx.
Where, k is the constant of proportionality.
Therefore, the proportionality constant is the point: (x, kx)
Generically it is always the point: (x, k * f (x)
Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
need answers ASAP. (x + 3)^2 = 12 ?
ANSWER PLEASE
A football player runs 5/6 of a mile every 3/4 of an hour how much does he run in one hour?
Answer:
5/8
Step-by-step explanation:
Answer:
Step-by-step explanation:4/0
help me pleaseeee!!!
Answer: -5/6
Step-by-step explanation:
Hopefully this helps, my friend, best of luck to you :)
Use factoring by grouping to completely factor the following.
4x^3−3x^2−36x+27=
Answer: 3 answers
Step-by-step explanation:
Barry has $55. He used 2/5 of his money to buy a new pair of running shoes. How much did Barry spend on his new shoes?
(Please hurry this is a test!)
Answer:
22, also nice woomy pfp!!!!
(x-2)(-5x^2+x)=(x)(-5x^2)+(x)(x)+(-2)(-5x^2)+(-2)(x) is an exsample of
this is an example of linear equations is one variable
100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
A. The distributions of the periods is that using the five number summary is that
The 7th Period has higher minimum and lower maximumThe 3rd period is more spread (from the quartiles)The 7th Period has higher medianB. The box and whisker plot of the periods is attached
A. Comparing the distributions of the periodsFrom the question, we have the following parameters that can be used in our computation:
7th Period
66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96
3rd Period
52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97
The distributions of the periods will be compared using the five-number summaries
Using a graphing tool, the five-number summaries are:
7th Period
Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 963rd Period
Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97B. Creating a box and whisker plot of the periodsThe box and whisker plot of the periods is added as an attachment
From the box and whisker plot attached, we can see the five-number summaries of the periods
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Instructions: Write an equation to represent the situation and
then solve.
Oceanside Bike Rental Shop charges 18 dollars plus 6 dollars an
hour for renting a bike. Jason paid 72 dollars to rent a bike. How
many hours did he pay to have the bike checked out?
Jason rented the bike for
hours.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Its C. My Guy
Step-by-step explanation: