A person can bike 48 miles in 2 hours. At this rate how long will it take this person to travel 66 miles? Show work please!!!

Answer:

60 minutes

Step-by-step explanation:

We solve this question using Lowest Common Factor method

Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

The number if minutes until they both drip again is 60 minutes

Answer:

Summary:

Step-by-step explanation:

Given

We know opposite sides of a parallelogram are equal.

Therefore,

now subtitute AD = x-28 and BC = 3x in AD = BC

AD = BC

x-28 = 3x

switch sides

3x = x-28

subracting x from both sides

3x-x = x-28+x

2x = -28

divide both sides by 2

2x/2 = -28/2

x = -14

Therefore,

The value of x = -14

Now subtitute AB = 12 and CD = 2/3y in AB = CD

AB = CD

12 = 2/3y

switching sides

2/3y = 12

y = 3/2 × 12

y = 18

Therefore,

The value of y = 18

We also know that the opposite angles of a parallelogram are equal.

Therefore,

5w = 70°

divide both sides by 5

5w/5 = 70°/5

w = 14

Therefore,

The value of w = 14

We know that the sum of the measures of the adjacent angles of a parallelogram is 180°.

Here,

m∠B = 70°.

m∠A = (3w+2z)°

As m∠B is adjacent to m∠A.

so

m∠A + m∠B = 180°

so substituting m∠B = 70° and m∠A = (3w+2z)° in the equation

70° + (3w+2z)° =  180°

now substituting w = 14 in the equation

70° +  (3(14) + 2z)° = 180°

70° + (42+2z)° =  180°

70° + 42 + 2z = 180°

112 + 2z = 180°

2z = 180° - 112

2z = 68

divide both sides by 2

2z/z = 68/2

z = 34

Therefore,

The value of z = 14

Summary:

Step-by-step explanation:

what is the unit of measurement for the 1/4, 1/4, and 1/2?

Answer:

Step-by-step explanation:

Y=1/2y

Answer:

The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given

substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

5 = -7(-1) + b

5 = 7+b

b = 5-7

b = -2

Thus, the y-intercept is: b = -2

now substituting b = -2 and m = -7 in the slope-intercept form of the line equation

y = mx+b

y = -7x+(-2)

y = -7x-2

Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

Answer:

Total cost of the house = $725,880

Step-by-step explanation:

This can be calculated as follows:

Down payment = $345,000 * 20% = $69,000

Amount borrowed = $345,000 * (100% - 20%) = $276,000

The total amount of loan repaid can be calculated using the following formula:

A = p(1  + rt) .................... (1)

Where;

A = Total amount of loan repaid = ?

p = Principal or amount borrowed = $276,000

r = annual interest rate = 4.6% = 0.046

t = number of years = 30

Substitute the values into equation (1), we have:

A = $276,000 * (1  + (0.046 * 30)) = $656,880

The total cost of the house can now be calculated as follows:

Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880

Answer:

Home inventory lol

Step-by-step explanation:

Answer:

7-6g

Then you do the 1 step equation.

Divide both sides by 6.

1.16=g

I'm not sure if it's right.

Answer:

area of the original square = 36 in²

Step-by-step explanation:

given data

one side is increased = 9 inches

other side is decreased = 2 inches

area of the resulting rectangle = 60 in²

solution

we consider here x as the length of any one side

and

longer side of the resulting rectangle = x + 9

and

the shorter side x - 2

so that area of this rectangle is (s+9) × (s-2) = 60 in²

standard form of equation is  x² + 7x - 18 = 60   .....................1

it will be

x² + 7x - 78 = 0

(s+13) (s-6) = 0

so that here x  = -13

and  x = 6

here we Discard x = -13 because the side length cannot be negative.

so x = 6

and area of the original square = 36 in²

Answer:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Step-by-step explanation:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Answer:

7th grade, I think

I looked it up but I am not 100% sure

Answer:

The correct answer is 11/2.

Answer:2 hours and 30 minutes

Step-by-step explanation:

they drive 60 miles in a hour.

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

6. A

7. C

8. C

9. B

-FWEW

1+1 = 84, explanation is quite simple. i should get brainliiest

Answer:

[tex]27,648,000[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].

He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.

Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].

Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.

Answer:

Would it not be 1 1/2 cups of water?

Step-by-step explanation:

3/4 of 2 feet is 1 and a half. If Mark wanted to fill it at 4/4 full, that'd be 2 feet. 3/4 is 1 and a half.

Answer:

The smallest number is 1

Step-by-step explanation:

1+2=3

2-1=1

1•3=3

Answer:

Set up the composite function and evaluate.

g(−5x+5)=25x−20

Step-by-step explanation:

Step-by-step answer:

0.5(x+0.8)=1.4

0.5x+0.4=1.4

0.5x+0.4-0.4=1.4-0.4

0.5x=1

0.5x/0.5=1/0.5

x=2

Plzzzzz give me Brainliest!!!!!  

Answer:

Is the 4

Step-by-step explanation:

Answer:

76%

Step-by-step explanation:

Do turn decimals into percentages you just gotta multiply by 100.

0.76×100=76

Answer:

24

Step-by-step explanation:

Answer:

[tex]x=42[/tex]

Step-by-step explanation:

Use this to remember the trigonometry ratios:

SOH-CAH-TOA

Because:

Sine=Opposite/Hypotenuse → SOH

Cosine=Adjacent/Hypotenuse → CAH

Tangent=Opposite/Adjacent → TOA

Use the inverse of the tangent ratio since you need to find the angle measure.

:D Tehe

Answer:

x approximately equals 42.0

Step-by-step explanation:

give other person brainliesttt

Answer:

A. $101/month

Step-by-step explanation:

From January to February, it changes by 195

From February to March, it changes by -72

From March to April, it changes by 180.

Now, you just find the average of these three numbers.

195 - 72 + 180 = 303

303 / 3 = 101

This means that the answer is A. $101/month

Answer:

x+(x+1)=471

Step-by-step explanation:

Answer: ABC

Step-by-step explanation:

I took it

Answer:

A) segments AB is parallel to segment A’B’.

B) A and A’ have the different coordinates.

C) <C and <C’ have the same measures.

Step-by-step explanation: