Complete question :
Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the diatance kane runs in a training session after w weeks
Answer:
(11 + w ) / 4
Step-by-step explanation:
Given the following :
Initial miles kane plans to cover per session = 3 miles
Increase in miles covered per session = 1/4 mile per week
Hence, distance covered after w weeks :
Using the sum of an arithmetic progression formula:
Tn = a + (n - 1) d
a = first term = Initial / starting distance = 3 miles
n = nth term = number of weeks = w
d = common difference = constant increase in distance per week = 1/4
Hence, after w weeks :
= 3 + (w - 1) × 1/4
= 3 + (w/4 - 1/4)
= 3 + (w - 1) / 4
Taking L. C. M
(12 + w - 1) / 4
(11 + w ) / 4
The expression that shows the distance Kane runs in a training session after w weeks will be; (11 + w ) / 4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that the Initial miles kane plans to cover per session = 3 miles
The Increase in miles covered per session = 1/4 mile per week
Using the sum of an arithmetic progression formula to calculate the distance covered after w weeks
Tn = a + (n - 1) d
a = first term = 3 miles
n = nth term = number of weeks = w
d = common difference = the constant increase in distance per week = 1/4
Hence, after w weeks,
= 3 + (w - 1) × 1/4
= 3 + (w/4 - 1/4)
= 3 + (w - 1) / 4
= (12 + w - 1) / 4
= (11 + w ) / 4
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Complete question :
Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the distance kane runs in a training session after w weeks.
Classify ΔXYZ. Question 3 options: A) Equilateral triangle B) Scalene triangle C) Isosceles triangle D) Right triangle
Answer:
as triangle has different length in each side it is scalene
Step-by-step explanation:
7. What is the sign of c:d, c>0 and d<0?
POSITIVE
O NEGATIVE
ZERO
Answer:
It would be c>0
Step-by-step explanation:
Find AC if AB = 17 and BC = 9
Answer:
ANSWER:-
Step-by-step explanation:
AB+BC=AC
17+9
=26 is the answer.
Solve the system of equations: 3x + 4y = 11 x – 2y = – 3
Answer:
{x,y}={1,2}
Step-by-step explanation:
4y-8-2y=4
2x+7=x-1
-3x+7=x-1
2x-1-1=x-3-(-5+x)
10=x+6+2x
3+3x-(x-2)=3x+4
-4+3x-1=2x+1+2x
-(x+3) = 2x-6
no need for an explanation just please answer then I need help for every single one
Answer:
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Step-by-step explanation:
Simplify. 3x – 8(x + 4)
Answer:
-5x - 32
Step-by-step explanation:
Use distributive rule : a(b + c) = ab + ac
3x - 8(x + 4) =3x + x*(-8) + 4*(-8)
= 3x - 8x - 32 {combine like terms}
= -5x - 32
HELP ME PLEASE I NEEED THIS <33
Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees
Find the domain and range of the following absolute value functions. 1 _____ f(x) = |x+6| I’ll mark u the brainliest to whoever answer first
x = > R
y = > [ 0 , infinity )
Step-by-step explanation:Domain :
f ( x ) = | x + 6 |
Clearly we can put any value for f ( x )
x = > R
Range :
Using input restriction:
For min of x = - 6
y belongs to [ 0 , infinity )
Hence we get answer.
Which linear function has the same y-intercept as the one that is represented by the graph?
Answer:B is the answer
Step-by-step explanation:
Answer:
The answer would be C because the y-intercept is when x is equal to 0
Step-by-step explanation:please mark me brainliest
Solve the equation |x + 6|= |x– 12|. Graph the solutions, if possible.
Answer:
x=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
|x+6|=|x-12|
x+6=±(x-12)
when x+6=x-12
6=-12
which is impossible hence rejected.
x+6=-(x-12)
x+6=-x+12
x+x=12-6
2x=6
x=6/2=3
so x=3
I WILL GIVE BRAINLIEST!!!!! Consider the scenario below. This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream. Use what you know about recursive sequences and iteration to explore the mathematics related to this scenario. 1. Determine the amount of medication that is in Aldi’s bloodstream after Haidar gives him each of the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.
Answer:
225 mg remain in Aldi bloodstream
Step-by-step explanation:
150mg of amoxicillin was given daily for 10 days equals 1,500
of the 1500-40% =600mg
600mg divided by 4 days = 225mg still in blood stream
La Tonya has 16 photos in her purse, and Luís has p photos in his wallet. They have a total of 37 photos
Answer:
21
Step-by-step explanation:
(p)=37-16
-5x + 4 = 2x + 16
How do I solve this
B·11 identity the expression as a numerical expression or algebraic expression
Answer:
Step-by-step explanation:
A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area? A parallelogram has a base of 3 units and an area of 1.8 square units. What is the corresponding height for that base? A parallelogram has an area of 20.4 square units. If the height that corresponds to a base is 4 units, what is the base?
Answer:
for first parallelogram
Area of parallelogram = b*h= 3.5*2= 7square unit
for second parallelogram
Area of parallelogram = b*h = 1.8 square unit
or, 3*h = 1.8
h= o.6unit
For third parallelogram
Area of parallelogram = b*h = 20.4square unit
4*b= 20.4
b=5.1 unit
Step-by-step explanation:
solve for x: 3/2+1/2x=2x
Chuck is making a scale drawing of his house. He is using the scale 1 inch = 5 feet. The dimensions of his actual house are 45 feet by 75 feet. What are the dimensions of Chuck’s house on the drawing?
Answer:
9 inch by 15 inch
Step-by-step explanation:
45/5=9 in
75/5=15 in
Would someone mind giving me the answer?
Evaluate 0 × |-6|. ......
Answer:
0
Step-by-step explanation:
Any value multiplied by zero equals zero , thus
0 × | - 6 | = 0
The 0 × 6 equals 0.
To evaluate the expression 0 × |-6|, to determine the absolute value of -6, which is 6 since the absolute value of a negative number is its positive counterpart. Next, we multiply 0 by 6.
When multiply any number by zero, the result is always zero. This is because zero represents the absence of quantity or value. Therefore, regardless of the value multiply by zero, the product will be zero. multiplying 0 by 6 yields zero as the final result. So, 0 × |-6| equals 0. This is because no matter the value of |-6|, the presence of a zero factor makes the overall product zero.
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The graph of y = f(x) is shown below. What are all of the real solutions of f(x)
= 0?
Answer:
x = -8, 0 and 6
Step-by-step explanation:
Graphed function in the picture,
y = f(x)
Solutions of a function are defined by the points on x-axis where the graph intersects or touches.
In the given graph, curve of the function touches the x-axis at x = -8 and crosses the x-axis at x = 0, 6
Therefore, real solutions of the function 'f' will be x = -8, 0 and 6.
3³ + 5 ² = 2x
work out the value of x
Answer:
X = 26
Step-by-step explanation:
3^3 + 5^2 =2x
27 + 25 = 2x
52 = 2x
Divide by 2
X = 26
n/r = b/a solve for a
n/r = b/a
n*a = b*r
a = b*r/n... Hope this will help...
Jasmine was observing her farm from a hot air ballon when she accidently dropped her telescope. As always on earth the formula to find the distance has fallen , d, after t seconds, is the triangle D= 16t^2. How far has the telescope fallen after 1 second. First person to answer gets brainliest
Answer:
256
Step-by-step explanation:
all you had to do was plug (t=1) in t in the equation
so
16(1)^2=256
Answer:400 ft
Step-by-step explanation:
Which expression is 5y - 9x + 21y equivalent to after being simplified?
20y + 9x, 26y - 9x, -9x - 16y, or 30xy
Answer:
[tex]26y-9x[/tex]
Step-by-step explanation:
[tex]5y-9x+21y[/tex] Add 21y and 5y.
Hope this helps, have a great day:)
6²-26+3
A) quadratic monomial
B) cubic binomial
C) quartic trinomial
D) quadratic trinomial
Convert 42.4 inches to meters.Round your answer to 2 decimal points
Answer:
1.07m
Step-by-step explanation:
the first step is to convert inches to cm
1in =2.54cm
(42.4in/1in x2.54cm)
42.4in = 107.69cm
then convert cm to m
1cm =0.01m
(107.69cm/1cm x 0.01m)
107.69cm =1.0769m
~1.07m
how to write 53/198 as a decimal
Answer:
__
0.2676 or 0.268
Step-by-step explanation:
53 ÷198
what are the common multiples of 8 and 12?
Answer:
common multiples: 24, 48, 72, 96
Answer:
common multiples include 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
or 12, 24, 36, 48, 60, 72, 84, 96.
Step-by-step explanation:
How is 5,067,000 written in standard scientific notation?
Answer:
5.067e6
Step-by-step explanation:
PLEASE HELP
5 years ago, my grandma was 5 times as old as me. 3 years from now, my grandma will be 3 times as old as me. how old am i now?
Answer:
you would be 2 years older so you would be 7
Step-by-step explanation:
5 - 3 = 2
5 + 2 = 7