Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days. Write the expressions for the distance Gavin needs to bike each day. Then relate these expressions to create an equation that represents Gavin's situation.

Answers

Answer 1

Step-by-step explanation:

let the first-day ride be x

Then the second-day ride will be =1.5 x

The third-day ride will be=1.5(1.5x)      

The Fourth-day ride will be=1.5*1.5(1.5x)  

hence for the four days the distance covered is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

divide both sides by 8.125 we have

x=65/8.125

x=8mile

the first-day ride be x=8miles

the second-day ride will be =1.5 x =1.5*8= 12miles

The third-day ride will be=1.5(1.5x) = 18miles

The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles


Related Questions




Andre bought a new bag of cat food. The next day, he opened it to his cat. The graph shows how many ounces was left in the bag on the days after it was bought. How many ounces of food were in the bag 24 days after Andre bought it?

Answers

Answer:

There were 16 ounces of Cat Food after 24 days.

Step-by-step explanation:

From the graph attached,

For an ordered pair (x, y) lying on the graph,

x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.

Now the value x = 24 on x-axis shows the number of days since the bag was bought.

For x = 24, ounces of cat food in the bag ( y ) = 16 ounce

Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.

16 ounces of cat food was in the bag, on 24th day

Given : The y axis represents dependent variable ie the 'ounces of cat food' , and x axis represents independent variable ie 'days since bag was bought'

To find : Value of y ie ounces of food - on a particular value of x ie days since bag bought , we draw a straight vertical line from value of x to the curve & correspond it to y axis.

From x = 24, if we draw a straight vertical line to the graph - it touches the point ( x,y ) = (24, 16). Extending it further to y axis, we get value of y ie 'ounces of food' = 16

To learn more, refer https://brainly.com/question/18385183?referrer=searchResults

What is 1/12 of 96? PLEASE HELP I AM TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

jkl

Step-by-step explanation:

jkl

An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.

Answers

Answer:

The instantaneous velocity of the eagle at the given time is  7.5 m/s.

Step-by-step explanation:

Given;

height of the cliff, h = 125 m

the height at which the eagle is flying, h(t) = 125 + 1.25t²

The velocity of the eagle is given by;

v = dh/dt

v = 2.5t

The instantaneous velocity of the eagle at t = 3 seconds is given by;

v = 2.5(3)

v = 7.5 m/s

Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is  7.5 m/s.

Please answer correctly for brainliest

Answers

Answer:

x ≥ 15

Step-by-step explanation:

5x + 3 ≥ 48

Group like terms

5x ≥ 48 – 3

5x ≥ 45

divide both sides by 5

5x/5 ≥ 45/5

x ≥ 15

Mai biked 634 miles today, and Noah biked 472 miles.
How many times the length of Noah's bike ride was
Mai's bike ride?

Answers

Answer:

1.34 times the length of Noah's bike ride

Step-by-step explanation:

634/472

1.34322033898

1.34

1.34 times the length of Noah's bike ride

Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to 24,500 in 4 years. The population of town B grew from 31,200 to 34,770 in 6 years. The population of town C grew from 18,000 to 22,000 in 5 years. The population of town D grew from 32,000 to 34,100 in 3 years. Which town had the greatest average change in population over the corresponding time period?(1 point)

Answers

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = [tex] \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625 [/tex]

Average change of population with time for town B = [tex] \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595 [/tex]

Average change of population with time for town C = [tex] \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800 [/tex]

Average change of population with time for town D = [tex] \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700 [/tex]

Town C had the greatest average change in population over time (800/yr).

Answer:

its c

Step-by-step explanation:

What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?

Answers

Answer:

The answer is

[tex] \huge y = 4x - 22[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (3, -10) and the slope 4

We have

[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]

We have the final answer as

[tex]y = 4x - 22[/tex]

Hope this helps you

Answer:

y+10=4(x-3) in point-slope form

Step-by-step explanation:

In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.

(03.02 LC)
ABCD is a rectangle. What is the value of x?
A
56 m
B
65 m
xm
D
C

Answers

Bbbbbbbbbbbbbbbbbbbbbbb

What’s is the answer to this problem

Answers

Answer:

B.2≤x≤5

Step-by-step explanation:

Answer:

Option B is the correct answer

Step-by-step explanation:

[tex] 2 \leqslant x \leqslant 5[/tex] is the domain of the given problem.

Can you please help me? I will give brainliest, I appreciate it :) Thanks!

Answers

Answer:

I going to say this should be easy because there must be a f(x) in a function so I think the answer is A.

Step-by-step explanation:

I think that functions must have f(x) in the equation.

h e l p

Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.

What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?

Answers

Answer:

4:9 is the ratio

Step-by-step explanation:

4 in Texas and 9 in Michigan

AABC is isosceles.
AB = 3x - 4 and BC = 5x - 10.
AB = [?]

Answers

If AB = BC then set up the equation 3x - 4 = 5x - 10

Subtract 3x.

-4 = 2x - 10

Add 10.

6 = 2x

Divide by 2.

3 = x

AB is 3x - 4 so

3(3) - 4

9 - 4

5.

AB = 5

If AB is not equal to BC then this is not solvable.

But if they are I am sure AB = 5.

Hope this helps

7x - 4y = -19
14x - 7y = -28

Answers

is it solve for y ?

PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS

Answers

Answer:

well the numbers are 58 60 62 64 and 66

Step-by-step explanation:

it's because when u add these 5 numbers u get 310 hope this helps

Answer: 62

Step-by-step explanation:

Select three ratios that are equivalent to

16

:

12

16:1216, colon, 12.

Choose 3 answers:

Choose 3 answers:


(Choice A)

A

8

:

6

8:68, colon, 6


(Choice B)

B

32

:

24

32:2432, colon, 24


(Choice C)

C

4

:

3

4:34, colon, 3


(Choice D)

D

12

:

8

12:812, colon, 8


(Choice E)

E

24

:

16

24:16

Answers

Answer:

A,B,C

Step-by-step explanation:

When you divide 16 by 12 you  get 1.3 repeating. When you divide A , B , C by their numbers you get 1.3 repeating also. But D and E equal 1.5 so that's how you know those to answers are incorrect:)

glad to help!

The equivalent ratio are 8:6, 32:24 and 4:3

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Ratio = 16 : 12

Simplifying the ratio

= 16/12

= 4/3

So, first 8:6

= 4: 3

and, second 32:24

= 4:3

and, third = 4:3

and, fourth 12 : 8

= 3:2

Hence, the equivalent ratio are 8:6, 32:24 and 4:3

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ5

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?

Answers

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

[tex]8=\underline{2}\times 2\times 2[/tex]

[tex]22=\underline{2}\times 11[/tex]

Common is 2.

Therefore the LCM will be:

[tex]2\times 2\times2\times 11 = \bold{88}[/tex]

So, the answer is 88 s.

Order the numbers from least to greatest.
6.8
[tex] \sqrt{13} [/tex]
[tex] \frac{26}{3} [/tex]
[tex] \sqrt{ \frac{54}{3} } [/tex]

Answers

Least to Greatest: radical 13, radical 54/3, 6.8, 26/3.

yall play copter royale ?

Answers

Naww I don’t play that game

Answer:

i do i am right noww lol

Step-by-step explanation:

The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)t, where t is the elapsed time in hours. What is the inverse function? P–1(t) = 19,300 log5 (t) P–1(t) = log5 (19,300t) P–1(t) = log5 (StartFraction t Over 19,300 EndFraction) P–1(t) = 19,300 (One-fifth) Superscript t

Answers

Answer:

The inverse of the function is

P^-1(t) = Log5 t - Log5 19,300

or P^-1(t) = Log5 (t/19,300)

Step-by-step explanation:

Here, we want to find the inverse of the function.

Make t the subject of the formula, then solve the equation for P(t)

P(t) = 19,300(5)^t

Replace P(t) with t and t with P(t)

So we have

t = 19,300(5)^P(t)

Now make P(t) subject of formula

divide both sides by 19,300

t/19,300 = 5^p(t)

By logarithmic law:

Log5 (t/19,300) = P(t)

Hence P(t) = Log5 t - Log5 19,300

Now replace P(t) with P^-1(t)

So the inverse is;

P^-1(t) = Log5 t - Log5 19,300

Answer:

C)

Step-by-step explanation:

got it right on edge :)

Someone text me on sc queenalyssa_05 :)

Answers

Answer:

No

Step-by-step explanation:

Answer:

Why... Um... ok

Step-by-step explanation:

solve for x .

y+2x=5

Answers

the answer is x = y/2 - 5/2

Answer:

x=-2x+5

Step-by-step explanation:

1 1/6 ÷ 2 1/3 Multiplying and dividing mixed numbers​

Answers

Answer:

7/6x3/7===21/42=== 1/2

Step-by-step explanation:

4y+13x-5+6y-x simplified

Answers

Answer:

[tex]12x+10y-5[/tex]

Step-by-step explanation:

[tex]4y+13x-5+6y-x[/tex]

Combine the like terms

[tex]12x+10y-5[/tex]

Multiply.

−3 2/3⋅(−2 1/4) ?

A −8 1/4
B −6 1/6
C 6 1/6
D 8 1/4

Answers

Answer:

49

Step-by-step explanation:

so let explain

you first have to make the fractions into whole numbers the way you do that is by

1) multiply the 3 times -3

2) then add 2

3) = -7

The next one you do the same

4 times -2

plus 1 =-7

so then this what the equation would look like

-7(-7)

so you multiply the 7 and get

49

C, just double checked !!


Find two integers whose sum is -9 and product is -10

Answers

-10 and 1

-10+1=9

-10•1=-10

(10 Points) Question In Picture:

Answers

Answer:

10. you're welcome, good Luckk!

Your answer is C, 25!!

y > 3x + 1
2x + 3y 2 6

Answers

Hope this helps I don’t know what your question actually means

Brad is hoping to package exactly 48 baseballs together. He sees the side of a box in his storeroom that is 2 x 3. What is he hoping the other dimension is? please help me out! I need the eqation and answer and a drawing of it too! Please help me out!

Answers

The given dimensions of the base of the box are 2 x 3 units.

Let h be the height of the box.

So, the volume of the box = 2 x 3 x h ...(i)

The shape of baseball is spherical and one baseball fits in a cubical box having the minimum dimensions equal to the diameter of the spherical ball.

Assuming the diameter of the baseball is d units.

So, the volume occupied by one baseball= volume of the cubical box having the side [tex]d[/tex] units.

[tex]=d^3[/tex] cubic units

So, the volume required to pack 48 baseballs

[tex]= 48 d^3 \cdots(ii)[/tex]

Assuming that all the baseballs fit in the box, i.e peripheral balls in every horizontal and vertical layer touched the box as shown in the figure.

So, the length, 3 units and the width, 2 units, must be the integral multiple of the diameter, [tex]d[/tex] units, of the baseball. i.e

The length, [tex]3 = ad\cdots(iii)[/tex]

The width, [tex]2=bd\cdots(iv)[/tex]

The height, [tex]h=cd\cdots(iv)[/tex]

where [tex]a,b[/tex] and [tex]c[/tex]  belong to the natural number.

This required volume must be equals to the volume of the box.

From equations (i) and (ii),

[tex]2\times 3\times h=48d^3[/tex]

 [from (iii) and (iv)]

[tex]\Rightarrow abhd^2=48d^3[/tex]

[tex]\Rightarrow h=\frac{48d^3}{6abd^2}[/tex]

[tex]\Rightarrow h=\frac{48}{ab}d[/tex]

On comparing with the equation (iv)

[tex]c=\frac{48}{ab}\cdots(v)[/tex]

Now, if the diameter of the baseball is unity,i.e, d=1 unit

( integer) and (integer) [from (iii) and (iv)]

(also an integer)  [from (v)]

Now, the height of the box,

[tex]h=8 \times 1= 8[/tex] unit.

Hence, the other dimension of the box, is 8 units corrosponding to the unity diameter of the baseball.

Note the height of the box depends on the diameter of the baseball, so it will have infinite possible value for different value of the diameter.

For example, the value of height for d=1 unit has been shown.

and another example may be if units, then (integer) and (integer)

(also an integer)  [from (v)]

Now, the height of the box,

[tex]h=2 \times 0.5= 1[/tex] unit. [from (iv)]

Here, the height of the box is 2 units corrosponding to 0.5 unit diameter of the baseball.

The possivle values of d can be taken for which [tex]a,b[/tex] and [tex]c[/tex] must be integers.

A share of stocks gained 12 points, then lost 114 points, and then gained 218 points. Find the overall change in its value.

Answers

Answer:

The overall change is 116points gained

Step-by-step explanation:

Points gained = 12points

Points lost  = 114points

Points gained  = 218points

Unknown:

Overall change in its value  = ?

Solution:

 The overall change  = Total points gained  - Total points lost

                                    = (218 + 12) - 114

                                     = 116points

The overall change is 116points gained

Answer:

its 116

Step-by-step explanation:

12 - 114

-102 + 218 = 116

Type the missing number in this sequence: 50, 42, 34, 18, 10, 2 what comes after 34?​

Answers

Answer:

The answer is 26 is after 34.

The pattern is x - 8 = y.

Step-by-step explanation:

Good luck! <3

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