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

What is the image point of (7, 0) after a translation right 2 units and up 1 unit

Answers

Answer:

(9,1)

Step-by-step explanation:

The required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).

As mentioned in the question, the image point of (7, 0) after a translation right 2 units and up 1 unit is to be determined.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
The image point of (7, 0) after a translation right 2 units and up 1 unit is given as,
= (x + x', y + y')
= (7 + 2, 0 + 1)
= (9, 1)

 

Thus, the required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).

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A really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. What is the speed of the armadillo?
A. 2.0 m/s
B. 10 seconds
c. 10 meters
D. 200 m/s

Answers

Answer:

A

Step-by-step explanation:

Speed= Distance/time

20m/10s=2 m/s

Question 6
How do the measures of the anges of polygon ABCD compare with those of the translated images? Based on your observation, what can you
condude about preservation of angle measurements during a translation?

Answers

Answer:

The measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. This means that the angles of the  polygon are preserved as the figure is translated in any direction.

Step-by-step explanation:

Answer:

The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.

Step-by-step explanation:

plato

In the equation t = 0.7n - 1.3, the dependent variable

Answers

Answer:

The dependent variable is n i think because the hwole problem depends on n

Step-by-step explanation:

( PLEASE HELP I WILL GIVE BRAINLIESTT! ) Lin ran 234 miles in 25 of an hour. Noah ran 823 miles in 43 of an hour.
Who ran faster, Noah or Lin? Lin ran faster.

How far would Lin run in 1 hour? Lin would run 55/8 an hour.


How far did Noah run in 1 hour? Noah ran ½ kilometers in



How long would it take Lin to run 1 mile at that rate?



How long would it take Noah to run 1 mile at that rate?

Answers

Answer:

the answer is 3 opinion

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?

Answers

Answer:

315

Step-by-step explanation:

5 x 7 = 35

280 + 35 = 315

There sth answer

Answer:7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

hope this help btw i am 12

Step-by-step explanation:

Solve the system of equation

Answers

Just click these pictures to give you the answer or idea of what you need.
Fort the first equation just click on the photo and for the second it’s x-y=-1

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

y= 2x +2 -----(2)

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0


Solve the following inequality. Give the answer in interval form. -4c>2(5-2c)

Answers

Answer:

I believe it would be no real number

Step-by-step explanation:

If you use PEMDAS and multiply the (5-2c) by 2 you get 10-4c. You'd then have to isolate the c and move it over by adding 4c to each side, which would make the inequality 0>10 or even if you flipped it to be -10>0. Both of which are false.

What is the length of the graphed line segment

Answers

Answer:

acc. to me it should be

[tex] \sqrt{50} [/tex]

Round 18,626,291 to the nearest million.

Answers

isn’t it 19 million?

Which one?
A. B. C. or D?

Answers

the answer to this is b
The answer would be b

Determine whether 3x - xy + 7 = 0 is a linear equation. If it is, write the equation in standard form.
O A linear y = -3x - 7
OB. linear y=-3x + 7
OC linear 3x - xy = -7
OD not linear

Answers

Answer:

C

Step-by-step explanation:

HELP ASAPPPP Aleisha works for a company with over 1,000 employees, of whom 81% have pierced ears. Every year, each employee draws another employee's name and gives them a gift. Let T be the number of names Aleisha draws until she draws an employee's name who does not have pierced ears.

What type of variable is T?
a.Neither
b.Geometric random variable (Do until successful)
c.Binomial random variable (FIXED # of trials before experiment)

Answers

Answer: Geometric

Step-by-step explanation:

Because you do trails until it is successful

For f(x)=4x+11, what is the value of f(15)?

Answers

71 is the answer

4 x 15 +11= 71

Paul can spend no more than $24 on his pizza order. Each pizza costs $10 and there is a $4 delivery fee. How many pizzas can he order?

Answers

Answer:

He can order 2 pizzas =20+ 4 for the delivery so 24=24 he will have no money left but he can get 2 pizzas

Step-by-step explanation:

Answer:

you can get 2 pizzas

Step-by-step explanation:

It does not say a delivery fee for each pizza. It just states that there is a fee for the delivery.

10+10=20

20+the delivery fee=24

i need help with the first question asap. please explain how you did the problem and why or why not they are porportional

Answers

Answer:

No, The graph does not represent two proportional quantities, because the line does not passes through the origin point (0, 0)

Step-by-step explanation:

The equation of the proportional quantity is y = k x, where k is the constant of proportionalityThis equation represented graphically by a line passes through the origin point (0, 0) because if we substitute x by 0 in the equation y = kx, y must be equal to zero

To solve the question graphically, we will use the ordered pairs on the table

→  x  →  y  ⇒  ordered pair

→  1  →  3  ⇒  (1, 3)

→  7  →  1  ⇒  (7, 1)

→  4  →  2 ⇒  (4, 2)

Plot the points

→ Look at the attached graph down

x-axis represents the number of hoursy-axis represents the number of people

∵ The line does not cut the y-axis at the origin point (0, 0)

→ That means the equation of the line can not be in the form y = k x

∴ The line does not represent a proportional equation

∴ The number of people and the number of hours are not proportion

solve question please​

Answers

Answer:

12, 160, 380

Step-by-step explanation:

Answer:

all of them are perfect square numbers since they can all be divided by four.

Find the slope
-5/4
4/5
-4/5

Answers

Answer:

The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B

Step-by-step explanation:

You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let us use this rule to answer the question

From the attached graph:

∵ The given line passes through points (-1, -2) and (4, 2)

→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)

x1 = -1 and x2 = 4

y1 = -2 and y2 = 2

→ Substitute their values in the rule of the slope above

∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]

The slope of the line is [tex]\frac{4}{5}[/tex]

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You
mix the Tanzanian blend with the Queen City blend, but always in the same proportion. Yesterday, you
mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend. Today, there is 20 pounds
of the Tanzanian coffee left in stock. How many pounds of the Queen City coffee should you mix with it to
get your secret blend?

Answers

Quantity of Tanzanian blend used in my secret coffee blend = 40 pounds

Quantity of Queen city blend used in my secret coffee blend = 8 pounds

The ratio of Tanzanian blend to Queen city blend in my coffee blend = 40 : 8

Quantity of Tanzanian blend with me = 20 pounds

Quantity of Queen city bend needed to make my secret coffee blend =

Let the quantity of Queen city blend I will need be x .

[tex] \frac{40}{8} = \frac{20}{x} [/tex]

[tex]8 \times 20 = 40 \times x[/tex]

[tex]160 = 40x[/tex]

[tex]x = \frac{160}{40} [/tex]

[tex]x = 4[/tex]

Therefore , I need to mix 4 pounds of queen city blend with my 20 pounds of Tanzanian blend to get my secret coffee blend .

4 pounds of  the Queen City coffee should you mix with it to get your secret blend.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Yesterday If we mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend.

In the same proportion, today there is 20 pounds of the Tanzanian coffee left in stock.

We need to calculate how many pounds of the Queen City coffee should you mix with it to get your secret blend.

Let x be the pounds of the Queen City coffee should you mix with it

Let us form a equation

40/8=20/x

Apply cross multiplication

40x=160

Divide both sides by 40

x=4

Hence 4 pounds of  the Queen City coffee should you mix with it to

get your secret blend.

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how do i determine the dimensions of a rectangle

Answers

Area is Length x Width

Perimeter is 2L +2W

Question 7 of 9
4 = (4 = 9) = (4 = 4) = 9
O A. True
B. False

Answers

Answer:

B. false

Step-by-step explanation:

The left side  4  does not equal to the right side  9 , which means that the given statement is false.

Find the annual rate.
1. =$24, P=$400, t=2 years
2. I=$54, P=$900, t=1 year

Answers

Answer: for number one it is t=2

And for number 2 the answer is t=1

Step-by-step explanation:

If a teacher distributes papers to each person in a class, please explain what they are doing
Pls I need this 35 point question

Answers

Dividing out the papers by the number of students in the class

You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which inequality below would represent how many pears you can still pick, p?

p − 14 ≤ 50

p + 14 ≥ 50

p − 14 ≥ 50

p + 14 ≤ 50

Answers

Answer:

p + 14 ≤ 50

Step-by-step explanation:

what you pick, p , plus the 14 you have, must be less than the 50 allowed.

Answer:

p + 14 ≤ 50

Step-by-step explanation:

Since you have already picked 14, you can pick p more. The sum of what you have already picked and what you will pick has to be 50 or less.

Please help ASAP please don’t lie

Answers

Answer:

B

Step-by-step explanation:

I believe the number of sides, and the number of lines of symmetry are the same.

Because, A "regular polygon" has all the same 5 sides all around, which would mean there's the same amount of lines of symmetry.

Which diagram shows a pair of angle measures that prove lines a and b are parallel ?

Answers

Answer:

B would be the answer because line c goes through a and b. line c would the 180 line. if you subtract 180 with the numbers on lines a and b, they would equal the same.

Option B is right.

What are corresponding angles?

Corresponding angles are those angles formed in the same relative position on different intersections when a pair of lines are crossed by a third line.

Here, if we see the 60° angle, then the opposite angle must be = (180° - 60°) = 120°.

This equal to the given corresponding angle , which is also 120°.

We know, if the corresponding angles of a pair of lines are equal, then the pair of lines must be parallel.

Hence, Option B is correct.

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PLEASE HELP

On graduating from college, you recieve $3,000 in gifts from family and friends. You want to invest it for later use as $15,000 down payment on a house. You have found an opportunity that locks in a 10% annual interest rate. How many years will it take to turn your graduation gifts into a down payment?

Answers

Answer:

6,346

Step-by-step explanation:

add add multiply and add

Arrange the numbers in increasing order.



b.

14.204

14.200

14.240

14.210

Answers

Answer:14.200,14.204,14.210,14.240

Step-by-step explanation:

7+7 please help me i need help quick right away

Answers

Answer:

very funny and 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

7 plus 7? how old are you?

Rounded 2.317 to the nearest thousand

Answers

Answer:

2.32

Step by Step Explanation:

5 and above, Give it a shove

1 rounds to 2 because of the 7

2.317 = 2.32

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