At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.

Answers

Answer 1

Capacity of tank be x

At end of journey the tank was half filled.

Hence x/2 filled

Now used percentage is 30%

[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]

Now

added gasoline=8gallon

Expression:-

[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]


Related Questions

which translation vector moves every point of a preimage 4 units left and 6 units up?

Answers

(-4,6)

Hope this helped :)

please help me asapppp


ty :)

Answers

Answer:

C. 3

y = 3x - 4

Step-by-step explanation:

y = 3x - 2

Slope stays 3 because they are parallel.

y - 5 = 3(x - 3)

y - 5 = 3x - 9

y - 5 + 5 = 3x - 9 + 5

y = 3x - 4

Step-by-step explanation:

y= 3x-4

hopefully that is helpful

༒Question༒


REFER TO ATTACHMENT


NONSENSE ANSWER WILL GET REPORT​

Answers

Ur answer sir :)

1) 6⁴

2) t²

3) b⁴

4) 5²× 7³

5) 2²× a²

6)a³× c⁴× d

I HOPE IT IS HELPFUL

Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?

341.5 square units

18.5 square units

17 square units

19 square units

Answers

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

[tex]T = (1, 8)[/tex]

[tex]E =(3, 8)[/tex]

[tex]X =(6, 2)[/tex]

[tex]A=(3, 2)[/tex]

[tex]S = (1, 4)[/tex]

The area of the pentagon is then calculated using:

[tex]Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|[/tex]

So, we have:

[tex]Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|[/tex]

Simplify the expressions in both brackets

[tex]Area = \frac 12|46 -84|[/tex]

[tex]Area = \frac 12|-38|[/tex]

Remove absolute bracket

[tex]Area = \frac 12 \times 38[/tex]

[tex]Area = 19[/tex]

Hence, the area of the pentagon is 19 square units

Read more about areas at:

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7. Reesa's sister is a salesperson at Old Navy.
a. Reesa's sister earns $15 per hour. The store
offers her a raise-a 6% increase per hour.
After the raise, how much will Reesa's sister
make per hour?

HELP

Answers

Answer: 24$

Step-by-step explanation:

Autumn wants to invest $1000. The table below shows the value of her investment under two different options for three different years:

Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your reasoning. (4 points)

Part B: Autumn wants to invest in an option that would help to increase her investment value by the greatest amount in 7 years. Will there be any significant difference in the value of Autumn's investment after 7 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 7 years for each option if the equation for option 1 is f(x)=100x + 1000 and the equation for option 2 is g(d) = 1000(1.1)d

Answers

Answer:

See below

Step-by-step explanation:

Part A

According the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.

It means the function is linear in option 1 and exponential in option 2.

Part B

Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:

f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)

As we see the option 2 is better choice and the difference is:

$1948.72 - $1700 = $248.72

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the gym?

9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue

Answers

Answer: (15th street, 14th Avenue)

Step-by-step explanation:

Given the following :

Ping's residence = (3rd street, 6th Avenue)

Ari's residence = (21st street, 18th Avenue)

Gym location = 2/3 the distance of Ping's residence to Ari's residence

So, distance between Ping's home to Ari's home

Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)

Distance = (21 - 3) street, (18 - 6) avenue

Distance between ping and Ari = (18th , 12th )

Gym distance = 2/3 of distance between ping and Ari

Gym distance = 2/3 × (18), 2/3 ×(12)

Gym distance = (12, 8)

Gym location = Ping's location + gym distance

Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)

Gym location = (15th street, 14th Avenue)

Answer:

D

Step-by-step explanation:

cuz its right :0

What is the value of the expression 6 and 3 over four multiplied by negative 11. 5?.

Answers

The value of the expression (6¾) × -11.5 is; -77⅝

We want to find the value of;

(6¾) × -11.5

Let us change 6¾ to improper fraction to get;

27/4

Also,let's change -11.5 to an improper fraction to get; -115/10

Thus;

(6¾) × -11.5 = 27/4 × -115/10

>> (-115 × 27)/(40)

>> 3105/40

>> -77⅝

Read more about simplification of fraction at; https://brainly.com/question/15225407

Which of the following options have the same value as 2\%2%2, percent of 909090?

Answers

Answer:

2 percent equals 0.02

so we just multiply that by 909090 so

0.02*909090=18181.8

Hope This Helps!!!

How many beads would the jeweler need to make 10 bracelets?

Answers

Answer:

50 ?

Step-by-step explanation:

You didn't give any detail about how many beads it takes to make one bracelet

I need Unit 3 parallel and perpendicular lines Homework 5 slope of lines it’s due today!

Answers

Answer:

1. 4/2

2. -3/5

3. 2/2

4. undefined

5. -5/1

6. zero

7. -4/5

8. 1

9. 0

10. 3/4

11. undefined

12. -9/4


The required slope for the lines is given below.

Given that,
Pot of line and points on the lines are given, we have to determine the slopes of the lines.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Slopes of the line can be given as,
m = [y₂ - y₁ ] / [x₂ - x₁]
for points, (-1, -11), (-6, -7)
m = -7 + 11 / -6 + 1
m = -4/5

Similarly,
Slopes of the line can be calculated as
1.) 4/2  2.) -3/5  3.) 2/2
4.) not defined because the denominator becomes zero or perpendicular to x-axis.
5.) -5/1
6.) zero  because the line is parallel to the x-axis
7.) -4/5      8.) 1   9.) 0  10.) 3/4
11.) not defined because the denominator becomes zero or perpendicular to the x-axis.
12.) -9/4

Thus, the required slope for the lines is given above.

Learn more about slopes here:
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I have no clue what to do

Answers

answer people questions if you know the answers.Or ask for help if your doing homework.

Answer:

Borrow a brain

Step-by-step explanation:

There are 6 triangles and 4 circles. What is the
simplest ratio of circles to total shapes?

Answers

Answer:

4/10

Step-by-step explanation:

4:10

as there are 4 circles, and 10 total (6 + 4)

simplify by diving by 2.

therefore the answer is,

2:5

(I guess, this could be simplified further, but it wouldn't be a whole number).

What is the equation for the line described in #9And #10?

Answers

Answer: it is definitely c. y=3x+2

Step-by-step explanation: solve the first equation and then plug in

write an equation in slope-intercept form of the line that passes through the points (-5,-3) and (1,9)

Answers

Answer:

y = 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 3 ) and (x₂, y₂ ) = (1, 9 )

m = [tex]\frac{9-(-3)}{1-(-5)}[/tex] = [tex]\frac{9+3}{1+5}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 9 ) , then

9 = 2 + c ⇒ c = 9 - 2 = 7

y = 2x + 7 ← equation of line

Simplify to find the answer

Answers

[tex]\frac{-8(7-\sqrt{2)} }{47}[/tex]

Im trying to procrastinate so if you would please help me speed up th process. I have like 20 minutes

Answers

Answer:

1/3=0.33 barred(the threes go on infinitly)

1/6=16666 barred(the sixes go on infinitly)

1/6 as a percent is 16.66% barred(the sixes go on infinitly)

Hope This Helps!!!

Answer:

A. 0.17 (rounded)

B. 16.7%

Step-by-step explanation:

math problems (Easy)
………………………………………..

Answers

Answer:

1. v = 3

2. y = 2

3. u = 6

Step-by-step explanation:

The answer to number 1 is 6
The answer to number 2 is 2
The answer to number 3 is 3

Which statements are true about Gretchen's adjusted data set?
The data set is approximately symmetric.
The center moved farther from the center of Manuel's data set.
a The center moved closer to the center of Manuel's data set.
The spread values are closer to the spread values of Manuel's data set.
The data set is skewed left.
The spread values are farther from the spread values of Manuel's data set.

Answers

Answer:

The spread values are closer to the spread values of Manuel’s data set.

The data set is approximately symmetric.

The data set is skewed left.

Step-by-step explanation:

i got it right.

The true statements bout Gretchen's adjusted data set are (1), (4), and (5).

What are statistics?

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

It is given that:

Which statements are true about Gretchen's adjusted data set:

The options are:

The data set is approximately symmetric.The center moved farther from the center of Manuel's data set.The center moved closer to the center of Manuel's data set.The spread values are closer to the spread values of Manuel's data set.The data set is skewed left.The spread values are farther from the spread values of Manuel's data set.

As we know,

The spread values are more similar to Manuel's data set's spread values, and the data set is roughly symmetric and tilted to the left.

The true statements are:

The data set is approximately symmetric.The spread values are closer to the spread values of Manuel's data set.The data set is skewed left.

Thus, the true statements bout Gretchen's adjusted data set are (1), (4), and (5).

Learn more about the statistics here:

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If A= -2 -8 -9 and B= 9 -9 6 find A-B

-5 7 5. 2 -1 -3

-4 -8 7. -4 -1 6

Answers

Answer:

A-B=

-2-8-9-(9-9+6)=

-19-6=

-25

Can i get some help :

Answers

Answer:

sorry i dont under stand it either would it be ok if i repost this

Answer:

t<28 Tia ran the race under 28 seconds

t>28 The temperature is warmer than 28°F

t<29 Tony is younger than 29 years old

t>29 The table is heavier than 29 kilograms

Step-by-step explanation:

the first sentence does not apply

Hope this helps

Sally wants to buy themselves a beautiful, scrumptious, delightful cake but they don't know how money works. If Sally has $50.00, and the cake is $54.99, how much more do they need? literally just made this question off the top of my mind xD

Answers

Answer:

$4.99

Step-by-step explanation:

$54.99-$50.00=$4.99

Answer:

Step-by-step explanation:

cake: $54.99

sally money: $50.00

54.99-50= $4.99 lol

If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta?
0.5559
1.3090
3.2362
10.4733

Answers

Step-by-step explanation:

csc(Theta) = 1/sin(Theta) = 3.2362

Answer:

C. 3.2362

Explanation:

The students in Gwen's class got to choose between pizza and burgers for the celebration on
the last day of school. 28 students picked the pizza. If there are 35 students in all in Gwen's class, what percentage of the students picked the pizza?
Write your answer using a percent sign (%).

Answers

Answer:

80% of the class picked the pizza

Step-by-step explanation:

In order to find a percentage, you are supposed to divide the amount of how much someone has picked by the total amount (in this case pizza's). Here is how I got 80%,

28/35 = 0.8

0.8*100 = 80

So the answer is 80%

i need help final exam will mark brainliest...
Pablo is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. two-part question.


(a) How many calories is Pablo burning per minute?

(b) what is the slope of the graph?

Answers

A) He is burning 5 calories per minute
B) The slope is 5


Daniel has 7 photo books. Each book has 5 pages with 1 photo on each page. He gets 2 more pages with 1 photo on each page.
How many total photos does Daniel have? Enter the answer in the box

Answers

Daniel has 37 photos
The answer is 37 photos
Hope this helps

Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)

Answers

Using the mean concept, it is found that the inequality can be used to  represent the number of miles, x, Jaime could bicycle  on the 4th week to meet his goal is:

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

The mean of a data-set is the sum of all observations divided by the number of observations.

In this problem:

There are 4 observations.They are: 240, 310, 320 and x.

Hence, the mean is:

[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]

His goal is to  bicycle an average of at least 280 miles per week for  4 weeks, hence:

[tex]M \geq 280[/tex]

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786

Marcus has $15.00 to spend on fruit. He buys 3 mangoes and spends the rest of the money on grapes. The store charges $0.75 for each mango and $2.50 per pound for grapes. Which equation represents the number of pounds of grapes, x, Marcus bought and how many pounds of grapes did he buy?

Answers

Answer:

It equals to $13.25

Step-by-step explanation:

Shane is following an English recipe for scones. The recipe calls for 1.2 kilograms of flour. How many pounds of flour, to the nearest tenth of a pound, does he need?

Answers

Answer:

Bilemedim fotoğrafını çeksen daha iyi olur kankacim çok güzel birisin

There are 2.6 pounds of flour.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The recipe calls for 1.2 kilograms of flour.

Now,

Since, The recipe calls for 1.2 kilograms of flour.

We know that;

⇒ 1 kg = 2.2 pounds

So, 1.2 kg = 1.2 × 2.2 pounds

               = 2.6 pounds

Thus, There are 2.6 pounds of flour.

Learn more about the measurement unit visit:

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mathematic, please answer
solve k:
8k-12=3

Answers

Step-by-step explanation:

8k - 12 = 3

8k = 3 +12

8k = 15

k = 15/8

k = 1.875

Answer:

8k-12=3

8k=3+12 [we equate the negative 12 from LHS and take it to RHS and its value becomes positive there fore 3 +12 is possible]

8k=15

k=15/8[algebraic rule of there is no sign between number and variable there is ment to be multiplication and when the multiply is taken to next sign it becomes division and becomes a denominator]

k=1.875

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