George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box.

Answers

Answer 1

Answer:

Step-by-step explanation:

68 1/4

Answer 2

The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.

What is a mixed fraction?

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Assume the distance covered before their first stop for gas be 'x'

Total distance travelled is 381  miles

We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is

x + 3x + 58 3/4  = 381

4x + 58 3/4  = 381

x=68 1/4 in mixed fraction

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Related Questions

Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.​​

Answers

Answer:

if you want simple answer then check second picture

Step-by-step explanation:

,

which ratio is equivalent to 4:10? Choose ALL the equivalent ratios

Answers

Answer:

2:5  

12:30

Step-by-step explanation:

A colony of bacteria is growing at a rate of 50% per hour.


If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours?

1139 bacteria

Answers

Answer:

1139

Step-by-step explanation:

The exponential growth rate formula is as follows:

F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have

A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get

F = 100(1+0.5)^6 = 1139

the two-way table shows information about the subjects studied

Answers

Answer:

  a) 62

  b) 31/45

Step-by-step explanation:

a) The table tells you there are 42 males, and 20 more females that study biology.

  42 +20 = 62 . . . are male or study biology or both

__

b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...

  62/90 = 31/45 = P(male or biology)

ophia can text 95 words in 10 minutes. At this rate, how many minutes would it take her to text 114 words? Fill out the table of equivalent ratios until you have found the value of x. Words Minutes 9595 1010 114114 xx You must answer all questions above in order to submit. attempt 1 out of 2 Christopher Vargas Tables of Equivalent Ratios (Guided) Dec 10, 9:21:57 AM Watch help video Sophia can text 95 words in 10 minutes. At this rate, how many minutes would it take her to text 114 words? Fill out the table of equivalent ratios until you have found the value of x.

Answers

Answer:

12 minuts

Step-by-step explanation

If you divide 95 by ten you get 9.5, and 9.5 to 95 and you get 104.5 and it is 11 minuts. add it again and you are at 114 words and it is 12 minuts.

(6) Arrange the decimals in increasing order..
(a) 0.8, 0.25, 0.21
(b) 0.85, 3/4' 0.857​

Answers

A) 0.21, 0.25, 0.8

B) 3/4, 0.85, 0.857

hope this is helpful!

A piecewise function is represented by the graph below.

On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?

x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1

Answers

A piecewise function is used that combines several functions at different intervals.

The domain of the function represented by f(x) = x + 1 is x > 1

The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)

The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1

So, the domain of f(x) = x + 1 is x > 1

Read more about piecewise functions at:

https://brainly.com/question/17966003

Answer:

D

Step-by-step explanation:

Correct on Edge

Use the information in the diagram to determine the height of the tree. The diagram is not to scale.

Answers

Answer:

75FT  B

Step-by-step explanation:

if the building is 150 feet, then the tree is about 50% the height of the building it is 75 feet tall or answer B

504300 in standard form

Answers

504,300


explanation:



What happend when matter condenses??
Plzz Answer???

Answers

Answer:

in condensation, gas turns into a liquid

Answer:

Condensation is when a gas becomes a liquid. ... In condensation, matter changes from a gas to a liquid. All matter is made of tiny moving particles called molecules. Evaporation and condensation happen when these molecules gain or lose energy.

Freddie swam 5/7 laps on Monday, Tuesday, and Wednesday. 1/4 laps on Thursday and Friday. How many laps did he swim in total?

Answers

Answer: 27/28 or 0.9642857

   

Step-by-step explanation:

5/7 + 1/4 = 5 · 4/7 · 4 + 1 · 7/4 · 7 = 20/28 + 7/28 = 20 + 7/28 = 27/28

1 4/8 in a improper fraction?

Answers

Answer:[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Step 1: Multiply the whole number part (1) by the denominator (8).

1 × 8 = 8

Step 2: Add the product from Step 1 (8) to the numerator (4).

8 + 4 = 12

Step 3: Write that result (12) above the denominator. So,

[tex]\frac4{8}{1}[/tex]

Step 4: The fraction [tex]\frac{12}{8}[/tex]

Can be reduced by dividing both numerator and denominator by the GCD(12,8) = 4. Thus,

[tex]\frac1{4}{8} =\frac{3}{2}[/tex]

A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?

Answers

Answer:

$ 275

Step-by-step explanation:

20/100 = 55/x (20% is 55 of what number) (%/100 = is/of)

(100 * 55) / 20 = 275

Answer:

68.75

Step-by-step explanation:

please help me with this

Answers

Answer:

MN=9.1 cm

LM= 9.9 cm

Step-by-step explanation:

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3. 50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80? h c ≤ 80 3h 3. 5c ≤ 100 h c ≤ 80 3h 3. 5c ≥ 100 h c ≤ 100 3h 3. 5c ≤ 80 h c ≤ 100 3h 3. 5c ≥ 80.

Answers

Answer: See below

Step-by-step explanation:

Let h represent hamburgers and c represent cheeseburgers

h + c ≤ 100 - The amount of burgers sold

3h + 3.5c ≥ 80 - Amount that each burger sells for

can someone help me out plz

Answers

Answers:

A = 3

B = -7

C = 3

D = -7

======================================================

Explanation:

You could use the AC method to factor, but I think the method described below is a more efficient way of factoring.

Set the given expression equal to zero and solve for x using the quadratic formula. So the goal is to find the roots for [tex]9x^2-42x+49=0[/tex]

We'll plug in a = 9, b = -42, and c = 49.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-42)\pm\sqrt{(-42)^2-4(9)(49)}}{2(9)}\\\\x = \frac{42\pm\sqrt{0}}{18}\\\\x = \frac{42+0}{18}\\\\x = \frac{42}{18}\\\\x = \frac{7}{3}\\\\[/tex]

Because the root is x = 7/3, it leads to the factor 3x-7 = 0

Note that we go from x = 7/3 to 3x = 7 after multiplying both sides by 3. Then we subtract 7 from both sides.

It turns out that we have two copies of the identical factor (3x-7) because x = 7/3 is a double root.

So in reality we have the factorization (3x-7)(3x-7) which we can shorten into (3x-7)^2 if we wanted.

Use the box method or FOIL method to expand (3x-7)(3x-7) and you should get 9x^2-21x-21x+49 which simplifies to 9x^2-42x+49. This confirms we have the correct factorization.

Therefore, A and C are both 3, while B and D are both -7.

Davens pays $50 each week for guitar lessons. How much will he pay after 3/4 of a year

Answers

You’ve got to work out 3/4 of the year first, that’s 75%, after you need to work out how many weeks are in those days so you divide it by 7 then divide that answer by $50 and hopefully you get your answer. hope this helps
he will pay $1950.
there are 52 weeks in a year and 52x.75=39
since it is $50 per lesson you do 39x50=1950, so this is how much he pays after 3/4 of a year.

can someone help me with this question plsss

Answers

Answer:

So you divide both sides 8.5

B=8   8.5x8=68

Simplfy 8.5x8 to 68

68=68

Step-by-step explanation:

Hope this helps

hey guys can you help me with this question? 20 points :)

Answers

Answer:

About 7 units

Step-by-step explanation:

About 7 units would be correct. 1 + 6 is 7

however 6 isn’t an option so the next closet thing is 7

HOPE THIS HELPED :3

Answer pretty sure that’s 7

Step-by-step explanation:

A 100-kg rock is on a 20-m cliff. If the rock is pushed off the cliff, how much kinetic energy does the rock have before hitting the ground?

Answers

Answer:

Step-by-step explanation:

19620 J.

Draw the straight line y=2x-3​

Answers

Answer:

graph is in linked files

Step-by-step explanation:

please i need help finishing this last question or i might get in trouble.


Solve.

w−(−23)=1.06

Enter your answer as a fraction in simplest form in the box.

w =

Answers

59/150

How?

w= 59/150

59/150 and -2/3 have to have the same denominators.

So, what I did was, -2/3×50= -100/150.

(Process of a new equation)

59/150-(-100/150)

[The two - signs cross each other out, making it a + ]

59/150+100/150 <- New Equation

__________________________________

59/150+100/150= 159/150

159/150= 1 9/150

9÷150=0.06

1+0.06= 1.06

(PROOF ABOVE)

Answer

add 1.06 = 1 3/50  = 1 3/50 + (-2/3) =  59/150

Step-by-step explanation:

Please Help Question in picture

Answers

Answer:

i want  to help... but there is no picture :/

Step-by-step explanation:

picture is gone D:

.

Evaluate the expression if a = 4, b = 9, and c = 1.

3b÷c1−a


–27


–9


9


27

Answers

Answer:

I used the discriminant which is √-4ac

Then I filled the numbers in, and found that 9 gets plug in for b and this becomes 9 squared, and that becomes 81. 4 is multiplied to 4 and 1 and becomes 16. Then 81 and 16 are subtracted and we get 65. We then find the square root, and will find that the answer is C.

Step-by-step explanation:

Answer:

3b÷c1−a

=3×9÷1×1-4

=27÷1-4

=27-4

=23

Jimmy needs to rent a banquet hall for a charity dinner. Facility A charges customers a one-time fee of $500 plus $15 for every meal. Facility B charges customers a one-time fee of $1000 plus $5 for every meal.

Which inequality can be used to find m, the minimum number of meals that can be served so that the total charge at Facility A is less than the total charge at Facility B?


#1. 500+15m<1000+5m

#2. 500+15m>1000+5m

#3. 500m+15<1000m+5

#4. 500m+15>1000m+5

Answers

I would believe it to be option 2 Because (m) will be meals but for it to be less would be 500+15m>1000+5m

NEED HELP ON THIS EQUATION!!!​

Answers

Answer:

1.2x + 3

Step-by-step explanation:

It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.

SOMEONE HELP ME ON THIS!!

Answers

Answer:

a) 8 ,18 year old students took part in the survey

b) 10

Logan spent $42 to buy 4 basketballs. What was the price per basketball

Answers

Answer:

$10.5

Step-by-step explanation:

$42 for 4 basketballs

price of 1 basketball = 42/4

42/4 = 10.5

-Chetan K

Answer:

10.5 dollars

Step-by-step explanation:

42÷4=10.5

a group of 3 people are sharing chocolates each person wants 8 chocolates and each box has 4 chocolates

Answers

Answer: not sure

Step-by-step explanation: uhhh this ain't clear. how many boxes are there?

Answer:3x8/4
I Hope This Helps

Consider the rectangle shown.
3x + 5
2x-1
If the perimeter of the rectangle is 52, what is the value of x?

Answers

Step-by-step explanation:

Perimeter of rectangle = 2(a+b) or 2a +2b

a=perimeter of the first side of the rectangle

b=perimeter of the second side of the rectangle

Perimeter = 2(3x+5 + 2x-1)=52

Open the bracket by multiplying the number outside by the number inside

=6x+10+4x-2=52

C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes

6x+4x=52-10+2

10x=44

D.B.S by 10, to make variable X subject

x=4.4

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The dimension of the rectangle is (3x + 5) and (2x - 1).

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be given as,

2[(3x + 5) + (2x - 1)] = 52

Simplify the equation, then we have

2[(3x + 5) + (2x - 1)] = 52

3x + 5 + 2x - 1 = 26

5x + 4 = 26

5x = 22

x = 22 / 5

x = 4.4

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

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