- Adrian's car gets about 12.5 kilometers per liter. He is planning a 1,600 kilometer trip.

a) About how many liters of gas should Adrian plan to buy? Round your answer to the nearest liter.

b) At an average price of $0.90 US per liter, how much should Adrian expect to spend for gas?​

Answers

Answer 1

Answer:

[tex]\Large \boxed{\sf a)\ 128 \ liters \ \ \ b)\ \$ \ 115.20}[/tex]

Step-by-step explanation:

a) distance/unit rate = 1600/12.5 = 128

b) liters of gas × unit price = 128 × 0.90 = 115.2

Answer 2

Answer:

a) 128 liters

b) $ 115.2

Step-by-step explanation:

Part a)

12.5 km = 1 liter

1 km = 1/12.5 liters

Multiplying both sides by 1,600

1600 km = 1600 / 12.5 liters

1600 km = 128 liters

Part b)

1 liter = $ 0.90

128 liters = 128 * 0.90

128 liters = $ 115.2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

The opposite of 1.5 is ? So the opposite 1.5 ? Which is equal to the opposite of ? Which is ? The second statement is ?

Answers

I think the opposite of 1.5 is -1.5

PLEASE HELP!
Find the area of each figure.
18 square units
9 square units
12 square units
24 square units
MATCH THE NUMBERS TO THE GRAPHS!!!!!

Answers

I do know the first figure is 24 square feet.

To get your answer,

Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.

Image Form:

l x w = a

(length x width = area)

I hope this is a clear explanation!

Answer:

first one is 24

second one is 12

third one is 9

fourth one is 18

Step-by-step explanation:

4 + (7-5)^4 on an iready lesson can someone help ?? the four is a exponet

Answers

20. Let me know if you want a step by step.

Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
10
91x
fix)
-
90
A. k=-3
B. K=-1
C. K=4
D. K=5

20 Points plz help

Answers

Adding K shifts the graph up that many units.

The vertex of f(x) is at y = -3

The vertex of g(x) is at y = 1

This as a 4 unit shift upwards.

K = 4


Which of the following must be true?
The diagram is not to scale

Answers

Answer:

AB<BC

Step-by-step explanation:

Just put that answer hope I helped!!

siny dy/dx= cosy(1-xcosy)



pls i need it fast​

Answers

Answer:

sec y = x+1 + ce x ; c is constant

Hope it helps....

Determine whether the lines x+ 7y= −3 and y = 7x + 25 are parallel, perpendicular, or neither. Justify your answer by showing all the needed work.

Answers

Answer:

perpendicular

Step-by-step explanation:

Rewrite the equations

y = (-1/7)x - 3/7 -- L1

y = 7x + 25 -- L2

Slope of L1 x Slope of L2 = -1/7 x 7 = -1

As a result, the two lines are perpendicular

PLEASE HELP!!! DUE IN 10 MIN!!!

Answers

Answer:

Option B

Step-by-step explanation:

Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides

Area of the triangular sides = 2(Area of the triangular base)

                                              = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                              = 10 × 12

                                              = 120 ft²

Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)    

= (10 + 13 + 13)(15)

= 36 × 15

= 540 ft²

Surface area of the prism = 120 + 540

                                           = 660 square feet

Option B will be the answer.

Need help with this asap!!

Answers

Answer:

≈ 53.7° (Option 3)

Step-by-step explanation:

In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.

Length of side opposite to angle 'x' = 15 cm

Length of side adjacent to angle 'x' = 11 cm

Using 'tan' formula - [tex]\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}[/tex] , lets solve this.

[tex]=> \tan x = \frac{15}{11}[/tex]

Using inverse tan function , lets find x.

[tex]=> x = {\tan}^{-1}(\frac{15}{11} )[/tex] ≈ 53.74°

Find the following bases.
a. 8% of ? = 20
b. 75% of ? = 30
c. 20% of ? = 45
d. 150% of ? = 36

Answers

Answer:

a.. 8% of ? = 20    240

b.75% of ? = 30    40

c. 20% of ? = 45   225

d. 150% of ? = 36  24

The steps of  answer is in attached file

Hope it helps..

Have a great day : )

What is the Y value of solution to the following system? (Substitution)
x=3y+4
3x-5y=8
(This is worth 10 points please help this is due in 15 minutes )

Answers

X=1 and y=-1 because when you substitute the x value of x=3y+4 into the second equation and solve for y you get -1

The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)

Answers

Answer:

A) The test statistic is approximately 7.5056

B) E. There is no evidence that diet is independent of backfat thickness

Step-by-step explanation:

The given data are;

The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm

The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm

The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18

The sample mean for pigs raised on Diet 2,  [tex]\overline x_2[/tex] = 3.37 m

The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm

The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18

The pooled SE = 0.09

A) The test statistic is given by the following formula;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]

The test statistic, t ≈ 7.5056

B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17

At a confidence level of 95%, the critical value is 2.11

Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet

Therefore, there is no evidence that diet is independent of backfat thickness

Alice and Finn roll two number cubes. Which of the following rules will make the game fair?

A) Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
B) Alice wins if a total of 7 is rolled. Finn wins if a total of 8 is rolled.
C) Alice wins if a total of 3 is rolled. Finn wins if a total of 10 is rolled.
D) Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

Answers

Answer:

Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

Mrs.Martin placed her class into five groups. If each group has 6 people. how many students are in the class

Answers

Answer:

30

Step-by-step explanation:

5x6=30

30 students
5•6=30
30/5=6

oceanside bike rental shop charges 18 dollars plus 9 dollars an hour for renting a bike. sam paid 63 dollars to rent a bike. how many hours did he pay to have the bike?​

Answers

Answer:

5 hours

Step-by-step explanation:

sam originally paid $18 hours but then had to pay 9 every 1 hour

18+9/1=?

sam paid 63 $ in total so

63-18= 45

45/9=5

what is 7p = -42 i need help i cant find the answer

Answers

Answer:

p=-6

Step-by-step explanation:

So we need to get p by its self so we have to to divide both sides to get the answer. 7p=-42 so p= -6 because we divided -42/7

(3x + 1) > -7+ 3x
Plz help me

Answers

Answer:

0, -1

Step-by-step explanation:

This question was answered in another place since you asked it twice. Please refer to the other place that you asked the same question.

The hanger image below represents a balanced equation. Find the value of n that makes the equation true.

Answers

Answer:

6

Step-by-step explanation:

16=n +10

subtract 10 from both sides and your left with 6=n

The answer is 6, I already this and it’s pretty easy

A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.

Answers

Answer:

[tex]x \ge 0[/tex]  

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

Step-by-step explanation:

Given

x = Cars from Baltimore to Trenton

y = Cars from Baltimore to Philadelphia

Required

Write out 6 inequalities

First, 0 or more cars must be shipped to both locations

So:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

Considering the warehouse in Baltimore.

(1) The warehouse can not ship more than the number of car it has (9).

So:

[tex]x + y \le 9[/tex]

Considering the warehouse in New York.

(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.

So:

[tex]8 - x \ge 0[/tex] --- To Trenton

[tex]3 - y \ge 0[/tex] --- To Philadelphia

(2) The warehouse cannot send out more than 6.

So:

[tex](8 - x) + (3 - y) \le 6[/tex]

So, the inequalities are:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

I need your help guys ....pls answer it correctly I will mark you as a brainlist ❤️....20 minutes left for me to submit my assignment pls Fast guys​

Answers

Answer:

If the lines are parallel, then the corresponding angles will be equal. In the given, they are not equal.

Step-by-step explanation:

Answer:

If they were parallel XSA and STC would be equal but as they are not, the lines are not parallel.

Step-by-step explanation:

Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
what does Angle B measure.

Answers

Answer:

135

Step-by-step explanation:

135+45=180

Plss this is timed will mark brain least if shown work!

Answers

Answer:

good

Step-by-step explanation:frog

Martina turns on a treadmill to start walking.
She takes 1 minute to gradually increase her speed and then walks at the same speed for 4 minutes. She increases her speed twice more during the 15 minutes she is on the treadmill, as shown on the graph below. Which best describes the function of Martina's walking speed over the interval (0, 15]?

Answers

Answer:

a peicewise function with seperate pieces of linear and step functions

Step-by-step explanation:

The statement that describes the function is: (a) a piecewise function with separate pieces of linear and step functions

From the attached graph, we have the following highlights

The graph has several linear functions.The graph has multiple step functions, as well.

This means that: the function is best described by the given graph is statement (a)

Read more about piecewise and step functions at:

https://brainly.com/question/13907972

I need to bring my math grade up !!! Does anyone know that answer

Answers

Answer:

2/5 of hangar a = hangar b

Step-by-step explanation:

please help
85-v=213
solve for v

Answers

Step-by-step explanation:

subtract the whole equation by 85 on both sides to get v by itself on the left side

85-85-v=213-85

-v=128

Now we divide the whole equation by negative 1

-1v/-1=128/-1

v=-128

Hope that helps :)

what is the surface area of the jewlery box below ?
( click on the image for the full box )
A. 146 cm
B. 292 cm
C. 336 cm
D. 672 cm

Answers

Answer:

B 292

Step-by-step explanation:

Hello There!

The first thing we want to do is find the formula for surface area of a rectangle

[tex]SA=2(wl+hl+hw)[/tex]

where w = width h = height and l = length

we are given the dimension:

h = 7

w = 8

l = 6

all we have to do is plug in

[tex]SA=2(8*7+6*7+6*8)\\8*7=56\\6*7=42\\6*8=48\\48+42+56=146\\146*2=292\\SA=292[/tex]

so we can conclude that the surface area is 292

A​ new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 1000 adults and finds​ (by other​ means) that ​3% have this type of cancer. Each of the 1000 adults is given the​ test, and it is found that the test indicates cancer in 99​% of those who have it and in ​2% of those who do not. Based on these​ results, what is the probability of a randomly chosen person having cancer given that the test indicates​ cancer? Of a person having cancer given that the test does not indicate​ cancer?

Answers

Watch the picture for an explanation

which inequality represents the sum
of x and y is at most 15?
a.)x-y_>15
b.)x-y_<15
c.)x-y>15
d.)x-y<15​

Answers

Answer:

x+y≤15

Step-by-step explanation:

We need to write an inequality that represents the sum of x and y is at most 15. At most in inequality is defined as less than or equal to i.e. ≤.

Sum of x and y means x+y

The inequality becomes,

x+y≤15

Hence, the correct option is (b).

The inequality which represents the sum of x and y is at most 15 is; Choice (b) x+y_<15

According to question;

We are required to determine the inequality that represents the sum of x and y is at most 15.

In essence, the sum of x and y is either equal to or lesser than 15.

Therefore, the inequality is Choice B; x+y_<15

Read more;

https://brainly.com/question/23382973

Use the equation below to find y, if m=6, x=4, and b= 15. y=mx-b​

Answers

Answer:

9

Step-by-step explanation:

Y = MX-B,

therefore Y = (6*4) - 15,

so Y = 24 - 15

Y = 9

Helpppppppppp fasttttttttttttttttttt

Answers

Answer:

first 2 , second 50, third 8

Step-by-step explanation:

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