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.
Identify the equation that represents a proportional relationship.
a) y= -3x + 2
b) y = 2x + 4
c) y = kx
d) y = k + 7
Please help lol it’s quick
AR:AB = 1/5 means that AR has length equal to 1/5 of the length of AB.
To find the x coordinate of R, you take 4/5 of the x coordinate of A plus 1/5 of the x coordinate of B:
4/5 * 1 + 1/5 * 4 = 8/5
You do the same for the y coordinate:
4/5 * (-1) + 1/5 * 4 = 0
So the point R has coordinates (8/5, 0).
fill in the blank to find –5 + (-2)
a rectangular hallway has dimension 6 feet by 18 feet. it is to be tiled with squares tiles, each with the dimension 2/3 feet by 2/3 feet. How many tiles will you need?
We need to find the area of the hallway. To find the area of a rectangle, simply multiply the length and width together.
6ft * 18ft = 108^ft
Now, let's find the area of the square tiles. To find the area of a square, simply square one side.
(2/3ft)^2 = 4/9ft^2
To find out how many square tiles are necessary to tile the hallway, lets divide the area of the hallway by the area of one square.
108ft^2 / (4/9ft^2) = 243 tiles
y ∝ 1 √ x If y = 5 when x = 49 find, y when x = 25
Answer:
y = 1/7
Step-by-step explanation:
y ∝ 1/√x ⇒ y = k/√xy = 5, x = 49 ⇒ 5 = k/√49 ⇒ 5 = 7k ⇒ k = 5/7y = 5/(7√x) ⇒ x = 25 ⇒ y = 5/(7√25) = 5/(7·5) = 1/7The value of x is 25 then y is 7.
What is Proportionality?In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
Given:
y ∝ 1 √ x
and, y= 5 when x= 49
So, the relation will be
y ∝ 1/√x
y = k/√x
So, 5 = k/√49
5 = k /7
k = 35
Now, k = y/ √x
35 = y √25
35 = 5y
y = 7
Hence, when x is 25 then y is 7.
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Identify the hypothesis and conclusion of each statement.
13. If the ball is red, then it will bounce higher.
14. If a plane contains two lines, then they are coplanar.
15. If the light does not come on, then the circuit is broken.
16. You must wear your jacket if it is cold outside.
Any conditional is of the form "if hypothesis, then conclusion"
=============================
13.
Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
=============================
14.
Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
=============================
15.
Hypothesis = The light does not come on
Conclusion = The circuit is broken
=============================
16.
Hypothesis = It is cold outside
Conclusion = You must wear your jacket
It might help to rewrite the original sentence as "If it is cold outside, then you must wear your jacket" to have it match up with the "if P, then Q" format (P and Q are the hypothesis and conclusion in that order).
The Hypothesis and Conclusion of each statement are;
13. Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
14. Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
15. Hypothesis = The light does not come on
Conclusion = The circuit is broken
16.Hypothesis = It is cold outside
Conclusion = You must wear your jacket
What is The Hypothesis and Conclusion?
The conclusion is “then,” part of a conditional statement.
The hypothesis is the “if,” part of a conditional statement
Now,
To find the hypothesis and conclusion of each statement we can change any conditional is of the form "if hypothesis, then conclusion"
The first statement is;
13. If the ball is red, then it will bounce higher.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
And, The second statement is;
14. If a plane contains two lines, then they are coplanar.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar.
And, Third statement is;
15. If the light does not come on, then the circuit is broken.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The light does not come on
Conclusion = The circuit is broken.
And, Fourth statement is;
16. You must wear your jacket if it is cold outside.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = It is cold outside
Conclusion = You must wear your jacket
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I need help! And I need a reasoning as well
Answer:
A) 3²·3³
E) 3^4·3^1
Step-by-step explanation:
When multiplying numbers with exponents, keep the base the same and add the exponents.
So A and E would equal 3 to the fifth power.
Answer:
A & D
Step-by-step explanation:
3^5 = 243
The only other equations that also equal 243 are A & D.
You can also break the exponent up.
(Ex: The exponent is 5. You can split it by having 1 & 4 or 2 & 3)
(Ex continued: The number 3 must be the base number though.)
What is the x-intercept of the equation below? 5x - 8y = 10 A. ( 2 , 0 ) B. ( 0 , 2 ) C. ( 0 , -5/4 ) D. ( -5/4 , 0 )
Answer:
A. ( 2 , 0 )
Step-by-step explanation:
[tex]5x - 8y = 1[/tex]
Let y = 0
[tex]5x-8(0) =10[/tex]
Multiply ; 8×0=0
[tex]5x-0=10[/tex]
Collect like terms and simplify
[tex]5x =10+0\\\\5x =10[/tex]
Divide both sides of the equation by 5
[tex]\frac{5x}{5}= \frac{10}{5}[/tex]
Simplify
[tex]x =2\\\\(2,0)[/tex]
Answer:
Yes the answer is A. I just did this.
Step-by-step explanation:
5. What single rigid motion can move the solid figure onto the dashed figure?
Translation
Dilation
Reflection
Rotation
Answer:
Rotation
Step-by-step explanation:
If you were to translate it, it wouldn't match up because it needs to be turned around. translation just involves moving the shape without rotating it. a dilation means that you're changing the size, and you're not supposed to do that for this problem. a reflection means that if you were to fold in between these two shapes, they would match up. They Don't in this case so that won't work. A rotation is the only way to get it so that all of the areas match up.
-11+x-12-8=2x-13-11 plz I need it now !!
Si una pulgada equivale a 2,54cm, ¿Cuantas pulgadas mide una barra de 31,75 cm?
Answer:
12.5 pulgadas
Step-by-step explanation:
31,75 cm * (1 pulgada)/(2,54 cm) = 12.5 pulgadas
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
(7^5)^7 HURYYYYY................
Answer:
Exact Form:
[tex]7^{35}[/tex]
Decimal Form:
3.78818692 x [tex]10^{29}[/tex]
I hope this helped! :) If this is correct please give me brainliest!
Sonya is checking orders at the fabric store where she works. Some of the orders are in decimal and some are in fractions. Which of the following statements is not true?
Answer:
B is not true
Step-by-step explanation:
What is the answer and steps to the problem 11(8r+3)-2(-9+6r)
Which equation represents the data: m = -3, b = 5
O y = -3x + 5
O y = x
Oy= 5x - 3
Zero
Answer:
y=-3x+5
Step-by-step explanation:
In the form of y=mx+b
The midpoint of AB is M(-2,-6). If the coordinates of A are (1, –4), what are
the coordinates of B?
1. Name the sets of numbers to which – 7
belongs.
a. integers, rationals
c. whole numbers, integers, reals
b. integers, rationals, reals
d. integers, reals
HELP ME PLEASE I NEEED THIS <33
Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees
Please help urgent easy question,just no 8
Answer:
Ruby is 11. Tanya is 14.
Step-by-step explanation:
Let Ruby's age eight years ago be x.
Tanya's age eight years ago = 2x.
Ruby's age now = x + 8
Tanya's age now = 2x + 8
Total age = [tex]x+8+2x+8=25[/tex]
[tex]3x+16=25[/tex]
Subtract 16 from both sides:
[tex]3x+16-16=25-16[/tex]
[tex]3x=9[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3} =\frac{9}{3}[/tex]
[tex]x=3[/tex]
Ruby's age now [tex]=x+8=3+8=11[/tex]
Tanya's age now [tex]=2x+8=2(3)+8=6+8=14[/tex]
Answer:
Tanya is 14; Ruby is 11.
Step-by-step explanation:
Let T represent Tanya's current age and let R represent Ruby's current age.
We know that their ages add up to 25. So:
[tex]T+R=25[/tex]
8 years ago, Tanya was twice as old as Ruby. In other words, Tanya's current age minus 8 is the same as Ruby's current age minus 8 times 2. So:
[tex]T-8=2(R-8)[/tex]
We have a system of equations. We can solve by substitution. From the first equation, subtract R from both sides:
[tex]T=25-R[/tex]
Substitute this into the second equation:
[tex](25-R)-8=2(R-8)[/tex]
On the left, subtract. On the right, distribute:
[tex]17-R=2R-16[/tex]
Add 16 to both sides. The right side cancels:
[tex]33-R=2R[/tex]
Add R to both sides. The left cancels:
[tex]33=3R[/tex]
Divide both sides by 3:
[tex]R=11[/tex]
So, Ruby is currently 11 years old.
So, Tanya is currently 25-11 or 14 years old.
Check:
8 years ago, Ruby was 11-8 or 3 years old.
8 years ago, Tanya is 14-8 or 6 years old.
Tanya's age of 6 is 2 times Ruby's age of 3 so our answer is correct.
A 5kg ball is traveling at the same speed as a 10 kg ball. compared with the 5 kg ball, the 10 kg ball has
1) half the momentum
2) twice the momentum
3) five times the momentum
4) the same momentum
Answer:
2) twice the momentum
Step-by-step explanation:
p=mv
momentum had a directly proportional relationship to mass, what this means is that if you somehow increase the mass of the object twice the momentum will also increase twice, if the mass decreases by 5 times the momentum will also decrease by 5 times. Therefore, since the 10 kg object is twice the mass of the 5 kg object, so is its momentum relative to the 5 kg object. (5×2=10) 2p=2m
In segment AC, point B is between A and C. Which of the following is true?
A. Point A + Point B = Point C
B. AB + AC = BC
C. AB + BC = AC
Answer:
b
Step-by-step explanation:
Answer:b
Step-by-step explanation:
Joanie weighs 102 pounds. Her father weighs 2.2 times as much as Joanie. How much does her father weigh?
Answer:
224.4
Step-by-step explanation:
102x2.2=224.4
Could I please have Brainliest.
Help plzzzzzzzzzzzzzzzzzz
Answer:1
Step-by-step explanation:
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]\sqrt{5-x}=4[/tex]
Square both sides:
[tex](\sqrt{5-x})^2=4^2[/tex]
[tex]5-x=16[/tex]
Subtract 5 from both sides:
[tex]5-x-5=16-5[/tex]
[tex]-x=11[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]
[tex]x=-11[/tex]
AB=10,BC=6. What is AC
Answer:
16
Step-by-step explanation:
adding any two sides of a triangle is allways greater than the third side.
23=1/3b-2+4/3b
what is the value of b?
Answer:
b=15
Step-by-step explanation:
which point is the center of a circle
Answer:
isnt it called the focus thats what i think
Step-by-step explanation:
Evaluate 4(a2+2b)-2 when a = 2 and b =-2
Answer: -2
Explanation 》》》》》》》》》》
4×(2×2+2×-2)-2
=4×(4-4) -2
=4×0 -2
= -2
Mary Jane is buying paper plates for her big going away party. The fancy plates come in packs of 8. She is inviting 41 guests. How many packs of plates should Mary Jane buy?
41 guests / 8 plates = 5.125 packs
Since you cant buy .125 of a pack, Mary jane has to purchase 6 packs.
Answer:
6 packsStep-by-step explanation:
41 guests = 5.125 packs
8 plates
5 x 8 = 40 plates
6 x 8 = 48 plates
therefore Mary Jane should buy the 6 packs more than enough for her 41 guests.
Math I’m giving brainlist and 20 points
Answer:
What work are you referring to