At 1:00 P.M., oil begins leaking from a tank at a rate of (6 0.77t) gallons per hour. (Round your answers to three decimal places.) (a) How much oil is lost from 1:00 P.M. to 4:00 P.M.

Answers

Answer 1

Answer:

[tex]Amount = 8.31[/tex]

Step-by-step explanation:

Given

[tex]Rate = 6 + 0.77t[/tex]

Required

Determine the gallons of oil lost between 1pm to 4pm

[tex]Rate = 6 + 0.77t[/tex]

Where t represents number of hours

First, we need to calculate the duration between 1pm and 4m.

[tex]t = 4pm - 1pm[/tex]

[tex]t = 3\ hours[/tex]

Substitute 3 for t in [tex]Rate = 6 + 0.77t[/tex]

[tex]Amount = 6 + 0.77 * 3[/tex]

[tex]Amount = 6 + 2.31[/tex]

[tex]Amount = 8.31[/tex]

Hence, 8.31 gallons of oil has been lost


Related Questions

solve the equation: the booster club of the baseball team bought pizza to sell at a concession stand. the school donated three pies to the sale. each pie was then cut into 8 pieces and sold . there were a total of 64 pieces to sell. how many pies did the booster club purchase

Answers

Answer:

they bought 5 pies

Step-by-step explanation:

.................

Five pies were bought by the booster club of the baseball team.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Three pies were provided for sale by the school. After that, each pie was divided into 8 pieces and sold. 64 pieces in all were available for purchase.

Let "p" be the number of pies the booster club purchased.

The school donated 3 pies, so the booster club purchased a total of p + 3 pies.

Each pie was cut into 8 pieces, so there were a total of (p + 3) × 8 = 64 pieces to sell.

This equation can be simplified to p + 3 = 8, or p = 5.

Therefore, there was a booster club that purchased 5 pies.

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I need help plz and thanks I’ll give brainliest if you answer right

Answers

the photos super blurry!! maybe try to re-post

You randomly select one card from a 52-card deckFind the probability of selecting the eight of spades or the seven of hearts

Answers

A N S W E R :

A pack of 52 card deck.The 52 cards contains 13 spades and 13 hearts.

→ Probablity of getting the 8 spades = 1/52

→ Probablity of getting the 7 hearts = 1/52

Both are mutually exclusive event's.

So,

⇒ Probablity of getting 7 hearts or 8 spades = Probablity of getting the 7 hearts + Probablity of getting the 8 spades

⇒ Probablity of getting 7 hearts or 8 spades = 1/52 + 1/52

⇒ Probablity of getting 7 hearts or 8 spades = 2/52

Probablity of getting 7 hearts or 8 spades = 1/26

The probability of selecting the eight of spades or the seven of hearts is 1/26.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of cards = 52

Number of eight of spades in the deck of cards  = 1

Number of seven of hearts in the deck of cards = 1

The probability of selecting the eight of spades or the seven of hearts.

= 1/52 + 1/52

= 2/52

= 1/26

Thus,

The probability of selecting the eight of spades or the seven of hearts is 1/26.

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Camila's car used 8 gallons to travel 128 miles. How many miles can the car go on one gallon of gas?

Answers

Answer: 16

Step-by-step explanation: 128 divided by 8 gives you 16

Answer:

16 miles

Step-by-step explanation:

Make a proportion:

8 gallons / 128 miles = 1 gallon / x miles ---> 128 * 1 / 8 = 16

If u steal point i report
the correct answer gets brainliest
kk

Answers

Answer:

The right answer is

[tex]y = 2x[/tex]

HELP ME PLZ

Find the slope of the line passing through the points (8, -2) and (3, -6).
05
Undefined
? ?

Answers

-6--2 divided by 3-8 which is 4/5

Object A is moving 5 feet every 2 seconds. Object B is moving 6 feet every 3 seconds. witch is faster.

Answers

Answer:

Object A is faster.

write the decimal equivalent of the following: seven hundred seventy-five thousandths?

Answers

Answer:

0.775

Step-by-step explanation:

think place values to the right

tenths, hundredths, thousandths

The decimal equivalent of the following: seven hundred seventy-five thousandths is 0.775.

What is the decimal number?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values.

It is given in the question that the decimal equivalent of the following: seven hundred seventy-five thousandths.

Seven hundred seventy-five thousand will be written in decimal form to the three places.

Decimal form = 0.775

Therefore the decimal equivalent of the following: seven hundred seventy-five thousandths is 0.775.

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Perform the indicated row operations, then write the new matrix.
1 -1 -2 3 53 3 2 41 2R1 R2R2
-3R1 R3R3
a. 1 -1 0 5 73
b. 1 -1 -2 3 53
c. 1 1 -1 0 5 7 1 0 1 14
d. 0 5 7 1 3 2 4 1

Answers

The matrix is not properly formatted.

However, I'm able to rearrange the question as:

[tex]\left[\begin{array}{ccc}1&1&1|-1\\-2&3&5|3\\3&2&4|1\end{array}\right][/tex]

Operations:

[tex]2R_1 + R_2 ->R_2[/tex]

[tex]-3R_1 +R_3 ->R_3[/tex]

Please note that the above may not reflect the original question. However, you should be able to implement my steps in your question.

Answer:

[tex]\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right][/tex]

Step-by-step explanation:

The first operation:

[tex]2R_1 + R_2 ->R_2[/tex]

This means that the new second row (R2) is derived by:

Multiplying the first row (R1) by 2; add this to the second row

The row 1 elements are:

[tex]\left[\begin{array}{ccc}1&1&1|-1\end{array}\right][/tex]

Multiply by 2

[tex]2 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}2&2&2|-2\end{array}\right][/tex]

Add to row 2 elements are: [tex]\left[\begin{array}{ccc}-2&3&5|3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&2&2|-2\end{array}\right] + \left[\begin{array}{ccc}-2&3&5|3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0&5&7|1\end{array}\right][/tex]

The second operation:

[tex]-3R_1 +R_3 ->R_3[/tex]

This means that the new third row (R3) is derived by:

Multiplying the first row (R1) by -3; add this to the third row

The row 1 elements are:

[tex]\left[\begin{array}{ccc}1&1&1|-1\end{array}\right][/tex]

Multiply by -3

[tex]-3 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right][/tex]

Add to row 2 elements are: [tex]\left[\begin{array}{ccc}3&2&4|1\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right] + \left[\begin{array}{ccc}3&2&4|1\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0&-1&1|4\end{array}\right][/tex]

Hence, the new matrix is:

[tex]\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right][/tex]

Answer:

Step-by-step explanation:

:)

draw a circle.Show at least 4 different lines of symmetry​

Answers

Explanation:
Hope this is helpful




Find the slope of the line.

a. 4
b. -1/4
c. 1/4
d. -4​

Answers

Answer:

C. 1/4

Step-by-step explanation:

Line pass A(-2,-1) and B(2,0)

slope = Δy/Δx = (0 - (-1)) / (2 - (-2)) = 1/4

Answer:

the answer is C

Step-by-step explanation:

slope formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

(1) take two coordinates from the graph

i/ (2,0)

x1 = 2

y1 = 0

ii/ (6,1)

x2 = 6

y2 = 1

(2) substitute the values into the formula

[tex] \frac{1 - 0}{6 - 2} [/tex]

[tex] \frac{1}{4} [/tex]

Which function below represents exponential decay?
ƒ(x) = 0.5(2)x
ƒ(x) = 4(0.25)x
ƒ(x) = 2(1.3)x
ƒ(x) = (-3)x

Answers

Answer:

f(x)=(-3)x

Step-by-step explanation:

Answer:

ƒ( x ) = 4(0.25) x

Step-by-step explanation:

because my test says so.....

need number three asap

Answers

Answer:

The answer is E

Step-by-step explanation:

When multiplying exponents you just have to add them but they have to have the same denominator in order to be added.

Multiply 1/2 by 2 on the top and bottom: 2/4 and add to 1/4 to get 3/4

Find the x-intercept and y-intercept of the linear equation: 3x+2y=6*

Algebra

Answers

Answer:

-3/2

Step-by-step explanation:

-3/2 is the answer thank you have good day

Can some one help me with this one

Answers

Answer:

T equals 20.

Step-by-step explanation:

Another equation could be 24 - 4 = t.

Answer:

t= 28

Step-by-step explanation:

Because there was an unknown amount which would be known as the sum of 24 and 4 cards. Therefore you add the two numbers and get the total amount of cards which is 28.

Novak wants to print books and magazines. He wants to print a total of at least 404040 books and magazines (condition AAA), with at most 360036003600 sheets of paper (condition BBB).
The graph below represents the constraints on the number of books KKK and magazines MMM Novak prints:Novak prints 303030 books. How many magazines can he print to meet both his constraints?


see picture below:

Answers

Answer:

Novak doesn't have enough sheets of paper left to print any magazines.

Step-by-step explanation:

The common shaded area represents the range of all combinations that fit both Novak's wish to print at least 40 books and magazines and the limit of 3600 sheets of paper.

Can you find the combinations within that area where the number of books Novak prints is 30?

Hint #2 / 3

The line K = 30K, represents all combinations where the number of books Novak prints is 30. We can see that the points on that line do not lie within the common shaded area.

Hint #3 / 3

Novak doesn't have enough sheets of paper left to print any magazines.

Can someone help me PLZ WITH THES TWO ABOVE.

Answers

Answer:

a. 100

b. 156

Step-by-step explanation:

a.

(n - 2)180 = (6 - 2)180 = 4(180) = 720

? + 166 + 108 + 121 + 135 + 90 = 720

? = 100

b.

(n - 2)180 = (8 - 2)180 = 6(180) = 1080

? + 128 + 99 + 161 + 113 + 142 + 146 + 135 = 1080

? = 156

Isabella and Angel are reading the same book. At the beginning of the month, Isabella was on page 35 and Angel was on page 5. Isabella will read 10 pages per day and Angel will read 20 pages per day. Let I represent the page of the book that Isabella is on at the end of t days into the month, and let A represent the page of the book that Angel is on at the end of t days into the month. Graph each function and determine after how many days, t, Isabella and Angel will be on the same page of the book.

Answers

Answer:

3 days

Step-by-step explanation: (See Annex)

According to the problem statement, both readings (Isabela and Angel) are models for a straight line:

10 and 20 are the slopes of I and A respectively

I = 35 + 10*t

A = 5 + 20*t

The common point of the two lines will be the day when they both will be on the same page ( see annex)

then:

35 + 10*t  =  5 +20*t

35 - 5  =  20*t - 10*t

10*t  =  30

t  = 3

Please solve this ASAP!!! :)

Answers

Answer:

1). Area = 37 cm²

2). Area = 120 cm²

Step-by-step explanation:

Figures in the picture attached are the examples of composite figures.

1). Area of the composite figure = Area of rectangle A + Area of rectangle B

   Since area of rectangle = Length × width

   Area of rectangle A = 8 × 2 = 16 cm²

   Area of rectangle B = 3 × 7 = 21 cm²

   Area of the composite figure = 16 + 21 = 37 cm²

2). Area of the composite figure = Area of C + Area of D

                                                     = (3×4) + (9×12)

                                                     = 12 + 108

                                                     = 120 cm²

for the figure shown below, find the value of the variable and the measures of the angles.

x=
measure of angle P=
measure of angle Q=
measure of angle R=​

Answers

Answer:

p=58

q=84

r=38

Step-by-step explanation:

x+46+2x-18+x=180 degree ( angle sum property )

4x + 28 = 180 degree

4x = 180 - 28

4x = 152

x = 152 /4

x= 38

angle p = 2x -18 = 2 *38 -18 = 58 degree

angle q = x + 46 = 38 +46= 84 degree

angle r = x = 38 degree

Answer:

x= 38°

measure of angle P= 58°

measure of angle Q= 84°

measure of angle R=​38°

Step-by-step explanation:

Equations

The sum of the internal angles of a triangle is 180°. We are given the three angles as a function of x, thus:

2x - 18 + x + 46 + x = 180

Simplifying:

4x + 28 = 180

Subtracting 28:

4x = 180 - 28 = 152

x = 152/4 = 38

x = 38°

Angle P=2x-18=2*38-18=58°

Angle Q=x+46=38+46=84°

Angle R=x=38°

solve for y please refer to image

Answers

Answer:

y = 80

Step-by-step explanation:

the angles of a triangle = 180. the top angle is 80 and the bottom is 20. 180 - 20 - 80 = 80

The largest Prime number less than 100 is ?

Answers

Answer: 97

Step-by-step explanation: The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence) just if you need all the primes

The largest prime number less than 100 is 97 by using the definition of prime number and examine the prime numbers that are smaller than 100.

To find the largest prime number less than 100,  to examine the prime numbers that are smaller than 100.

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Starting from 99 and moving downwards, check each number for divisibility by smaller numbers.

Any number that has divisors other than 1 and itself is not prime.

99 is not a prime number as it has more than one factors.

99 = 1, 3, 9, 11, 33, 99.

98 is not a prime number as it has more than one factors.

98 = 1, 2, 4, ........, 98.

 97 is a prime number as it has more than one factors.

97 = 1, 97.

By doing this process, eventually reach 97, which is the largest prime number less than 100.

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Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie. Enter the number of cups of pineapple juice Francine uses for 1 cups of orange juice.

Answers

Answer:

Francine uses the number of cup of pine apple juice is 2 cups

hope my answer is helpful to you

plz mark me as brainlist and also follow me

2 cups
2/3 x 3= 6/3 which is equivalent to 2 cups

question down below down below

Answers

Answer:

C

Step-by-step explanation:

y = 2.5 x - 57

y = Profit: 143

143 = 2.5 x - 57                     Add 57 to both sides

143 + 57 = 2x - 57 + 57    Combine like terms

200 = 2.5 x                          Divide by 2.5

200/2.5 = 2.5x/2.5

x = 80 plants

Which graph shows a function whose inverse is also a function?

Answers

Answer:

NOT D - D is incorrect

Im not sure which one it is, but it's not the last one.

Step-by-step explanation:

Gary can afford a monthly payment of $450 he wants to take out a $20,000 loan at 6.75% interest rate what should the length of the loan be?

Answers

Answer:

51 months

explanation

ABCD is a parallelogram. Find the measure of ZABC.
HELPPP

Answers

Answer:

50°

Step-by-step explanation:

Opposite angels of a parallelogram are congruent to each other.

This means:

<ADC = <ABC

<ADC = 38° + 12°

<ADC = 50°

Since <ADC = <ABC, therefore,

<ABC = 50°

Warm-Up
Point C has the coordinates (-1, 4) and point D has the
coordinates (2, 0). What is the distance between points
Cand D?
d=-x)' + (a-n'
units
Intro

Answers

Answer:

I think the answer is (-3,4)

Solve the following equation for x.
−13−4x−13x=−14+15x

Answers

Answer:

x=1/32

Step-by-step explanation:

-13-4x-13x=-14+15x

first, combine the like terms.

add -4x and -13x

-13-17x=-14+15x

now, add 13 to both sides

-17x=-1+15x

subtract 15x from both sides

-32x=-1

divide by -32

x=-1/-32

Simplify

x=1/32

Hope this helps!

Answer:

x = 0.84375

Step-by-step explanation:

-13 - 4x - 13x = 14 + 15x

-13 - 17x = 14 + 15x

-13 - 17x + 17x = 14 + 15x + 17x

-13 = 14 + 32x

-13 - 14 = 32x

-27 = 32x

-27 / -32 = 32x / 32

0.84375 = x

How do you calculate 1/4 of 4 dozen and get the correct answer?

Answers

Answer:

4 dozen is equal to 48

divide that by 4 which would equal 12 or one dozen

Answer:

12

Step-by-step explanation:

1 dozen is equal to 12, so 4 dozen is (12×4) is 48. 48 x 1/4 =12.

Simply: 1/4 of 4 dozen is 1 dozen

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