While traveling to his grandmother's house for Christmas, George fell asleep halfway through the journey. When he awoke, he still had to travel half the distance that he had traveled while sleeping. For what part of the entire journey did he sleep?

Answers

Answer 1

he slept for 1/2 of the trip and then slept have the distance that was left so that would be 1/2 divided by 2 equals 1/4 so 1/2 plus 1/4 equals 3/4 so george has 1/4 of his journey left.

Answer 2

George was asleep for 33.3% of the journey.

When George went to sleep, he was halfway through to his grandmother's house which means that he was left with 1/2 of the journey.

When he woke up, he was still left with half of the distance he had slept. If we made this an expression and assume the percentage of the journey he slept was x, it would be:

1/2 of the journey = 1/2x + x

1/2 = 1.5x

x = 1/2 ÷ 1.5

x = 33.3%

George therefore fell asleep for 33% of the journey.

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Related Questions

Use mental math to solve the equation n − 4 = 12.

Answers

Answer:

The answer is n=16.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

n = 16

Step-by-step explanation:

Add for to both sides: n - 4 + 4 = 12 + 4

Then simplify it and your answer is: n = 16

1. The graphs below represent functions defined by polynomials. For which function are the zeros of the
polynomials 2 and - 3?

Answers

Answer:

the second graph (c)

Step-by-step explanation:

The curve is passing through (0, 2) and (0, -3). Then the correct option is B.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The zeroes of the polynomial function are 2 and -3.

The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.

The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).

Thus, the correct option is B.

More about the polynomial link is given below.

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The area of a. square field is 100m square. what is the perimeter of the field?​

Answers

answer:the Perimeter is 40m

The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side of the rectangle.

Answers

9514 1404 393

Answer:

  57.1°

Step-by-step explanation:

The sides of the rectangle are adjacent and opposite the angle, so the measure is ...

  α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°

The angle between the diagonal and the short side is about 57.1°.

please sove this
I will mark you as brainleist like and give five stars​

Answers

It would be a negative Integer

Answer:

Negative

Step-by-step explanation:

A negative times a negative equals positive

A positive times a negative equals a negative

A positive times a positive equals a positive

What is the angle of rotation of the image?
A. 60°
B. 90
C. 120
D. 180

Answers

Answer:

C.

Step-by-step explanation:

360/3 = 120

Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

Answers

Bro I’m rly sorry but I don’t know the answer to this

Answer:

64.80

Step-by-step explanation:

what is the mean of 4,5,8,3,4

Answers

Answer:

4.8

Step-by-step explanation:

4+5+8+3+4=24

24/5=4.8

1 1/2 divided by 3 3/4​

Answers

The Answer is:

2/5

Simple math.

Find the average rate of change of y=log3⁡ x over the interval 1≤x≤3. Write your answer as a fraction in the simplest form.

Answers

Answer:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

The average rate of change is [tex]\frac{6}{25}[/tex]

What is rate of change over an interval?

'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'

According to the given problem,

Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]

y = log3x

⇒ a= 1

   b= 3

Therefore,

⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]

⇒ [tex]\frac{log9 - log3}{2}[/tex]

⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]

⇒ [tex]\frac{1}{2}[/tex] * log 3

⇒ [tex]\frac{6}{25}[/tex]

Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]

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A square-shaped painting has an area of 120 square inches. What is the length of each of its sides?

Answers

Answer:

30

Step-by-step explanation:

120÷4=30 (4 because a square has 4 sides)

and you can check it by doing 4×30=120

hope this helped

if answer is correct brainliest

Answers

24 because 6*4 = 24 squared. :)

If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please

Answers

Answer:

D) 18a

Step-by-step explanation:

y - x

= 4x - x (plug y = 4x)

= 3x

= 3(2z) (plug x = 2z)

= 6z

= 6(3a) (plug z = 3a)

= 18a

A car was purchased for $34,000. The car depreciates by 27% of each year

a) What is the value of the car when it is 12 years old?

b) How long will it take for the car to be worth less than $100?

Answers

Answer: a) $778.67  b) 19 years

Step-by-step explanation:

The formula you would use is

[tex]a_{n}=P(1-r)^{n}[/tex]

where a is the amount

n is the length of time

P is the principle

and r is the rate in decimal form

a)

[tex]a^{12} =34,000(1-.27)^{12} \\a_{12}=34,000(.73)^{12}\\a_{12} =778.67[/tex]

b)

put your initial equation into a graphing calculator and  use the table function to find that after 18 years it is worth 117 and in 19 years 86-

David attended a summer camp last July. He recorded the ages of the camp counselors
here.
Ages: 18, 19, 19, 19, 21, 23, 23, 24, 24, 25, 26
David wants to create a box plot to display the ages he recorded. Which box plot is the best
representation of the information?


( Please help, I need an answer ASAP ;-; )

Answers

Answer:

no offence but this David guy sounds like a nerd i mean who would go to camp just to make a graph

Step-by-step explanation:

Jon was at a football match.
The match ended at 16:55
Jon got back to his car in the car park 15 minutes after the match ended.
He drove out of the car park 10 minutes later.
It then took him 45 minutes to drive home.
Did Jon get home before 18 00?
You must show how you get your answer.

Answers

Answer:

no he will make it home at 18:15

Step-by-step explanation:

[tex]4:55+15=5:10\\5:10+10=5:20\\5:20+45=6:15[/tex]

What is the length of EF? (PLEASE HELP)




π

Answers

Answer: 8 pie

Step-by-step explanation:

8====>

The length of the given arc is determined as 2π.

option B is the correct answer.

What is the length of the arc EF?

The length of the arc EF is calculated by applying the formula for the length of an arc as shown below;

EF = θr

where;

θ is the angle subtended by the arcr is the radius of the sector

From the given diagram, the radius of the arc = 4, and the angle subtended by the arc = π/2

The length of the arc is calculated as follows;

EF = ( π/2 ) x 4

EF = 2π

Thus, the length of the given arc is determined by applying the formula for length of an arc.

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A sandwich shop offers wheat or
white buns, turkey or ham, and
mayo or mustard. Sketch a free
diagram to represent the various
options for a sandwich.

a. 8
b. 6
c. 12
d. 4

Answers

The correct answer is letter B

Determine the value of variable in the following
equation:
2x + 40 = 30

Answers

Answer: x = -5

Steps:
2x + 40 = 30
2x = 30 - 40
2x = -10
x = -10 / 2
x = -5
I believe the answer is x=-5

find the length of x


help please i need it asap

Answers

Step-by-step explanation:

[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]

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A bag contains 6 red marbles, 5 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Answers

Answer:

Step-by-step explanation:

i think you meant whats the probabilty of it being red

if thats what you meant, then it would be:

total number of marbles : 18

number of red marbles: 6

probability of the green marbles: 6/18

so the answer is 1/3

help me please with this answer I'm stuck ​

Answers

linear is the correct answer

a car travels at a constant speed of 20m/s.work out the time it takes for the car to travel 10 km. give your answer in minutes and seconds​

Answers

d = distance
s = speed
t = time

In a sequence of numbers, a4=3, a5=5, a6=7, a7=9, and a8=11.

Which recursive rule can be used to find the nth term of the sequence, an?

a1=3; an=an−1+2
a1=−3; an=2an−1
a1=3; an=2an−1
a1=−3; an=an−1+2

Answers

Answer:

a1=−3; an=an−1+2

Step-by-step explanation:

I just took the quiz and this was what was correct

1 divided by what equals 2.2?

Answers

Answer:

The answer is 2.2

Step-by-step explanation:

To find the missing number, you need to use the opposite operation to find the value of n:

Original equation: 1 / n = 2.2

New equation: 1 * 2.2 = 2.2

look at pic 10 pts will mark brainilest

Answers

Answer:

6

Step-by-step explanation:

E ( [tex]x_{A} ;y_{A}[/tex] ) = (-2, -3)

G ( [tex]x_{B} ;y_{B}[/tex] ) = (4, -3)

Objective : Find the distance between two given points EG

Formula : Distance between two points

[tex]d = \sqrt{( x_{B} -x_{A} )^{2} + ( y_{B} -y_{A} )^{2}}[/tex]

Solution : [tex]d = \sqrt{( 4 -(-2) )^{2} + (-3-(-3))^{2}} = \sqrt{( 4 -(-2) )^{2} + (-3-(-3))^{2}} =\sqrt{36+0} =6[/tex]

PLZ HELPPP will mark the brainliest!!!

Answers

12.6 because it has to be the same as ED
^12.6 is the answer

A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *

Answers

Step-by-step explanation:

88 X 0,15 =....

... X 1.05 = answer

Estimate the perimeter and the area of the shaded figure


Show how u got it please.

Answers

Answer:

8(1 +√2)

Step-by-step explanation:

The perimeter is the sum of the sides of the figure

Taking 1 square box as 1 unit

Get the slant side using the pythagoras theorem;

l² = 2² + 2²

l² = 4 + 4

l² = 8

l =√8

Perimeter = 4(√8) + 4 + 4

Perimeter = 8 + 4√8

Perimeter = 8 + 4*2√2

Perimeter = 8 + 8√2

Perimeter = 8(1 +√2)

hence the perimeter of the shape is 8(1 +√2)

Hurry ASAP) Graph the system of equations. f ( x) = x^2 - 5x + 7 and g(x)=2x + 1. Which statements are true about the solutions to the system of equations? Select each correct answer. ( I accidentally clicked on option A but I don't know the answer at all). Will Mark Brainliest. ​

Answers

Answer:

N/A

Step-by-step explanation:

Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions

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