The length of a trip varies directly as the amount of gasoline used. Yael's car used 16 L for the first 145 km of his trip from Toronto to Montreal. a) How much gasoline, rounded to the nearest litre, should he expect to use in the remaining 400 km of his trip? b) Can he complete the trip with a budget of $70, if gasoline costs $1.13/L?

Answers

Answer 1

Answer:

44

yes. the total cost is 68 which is less than 70

Step-by-step explanation:

There is positive proportionality is two variables are positively related to each other.

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

amount of gasoline = b x length of the trip  

16 = b x 145

b = 16/145 = 0.110345

a. 400 x 0.110345 = 44

total litres used for the trip = 44 + 16 = 60

total cost of the trip = 60 x 1.13 = 67.8

total amount spent on gasoline is 67.8. this is less than the budget


Related Questions

find the value of x........................

Answers

Answers: x = 4 and y = 3

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

Explanation:

Triangle UBD is congruent to triangle RAN

Note the order of the lettering as it's important.

BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,

BD = AN

2y+5 = 3y+2

5-2 = 3y-2y

3 = 1y

y = 3

-----------

Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,

UD = RN

15 = 2x+7

2x+7 = 15

2x = 15-7

2x = 8

x = 8/2

x = 4

can somebody help me please and thank you, this is due today. No links please!​

Answers

Answer:

Yes

Step-by-step explanation:

Y=9x2

Y=18

So you put a dot on 18 on the vertical axis and draw a line which is horizontal.

Explain why there are infinitely many solutions to the equation
sin X = 1/2

Answers

Answer:

Well, everything can be turned into a half.

Step-by-step explanation:

Ahmad and 19 of his friends won a competition.they shared the prize money of $70,000 equally.ahmad saved $2500 of his share and donated the rest.How much did ahmad donate? ​

Answers

Answer:   1000 dollars

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

Explanation:

There are 1+19 = 20 people total. The prize money $70,000 is divided among those 20 people equally to get (70,000)/20 = 3500 dollars per person.

Ahmad saves $2500 of his $3500 prize, leaving 3500-2500 = 1000 dollars leftover. This is the amount he donates.

1000 I agree and I’ve solved this as well

Allison measured her rectangular deck and found that it has dimensions of
yards by 8 yards. Both the length and the width may have a measurement error of up to
%
What is the maximum possible area of Allison's deck, rounded to the nearest thousandth of a square yard?

Answers

Answer:

Step-by-step explanation:

Janet uses 2 cups of strawberries to make 4 cups of strawberry jam. How many cups of strawberries are required to make 10 cups of strawberry jam?

Answers

5 cups of strawberries are required to make 10 cups of strawberry jam.

Because we know from the information given that the number of strawberry jam cups will be 2 times the number of strawberry cups

Please help I don’t understand

Answers

Answer:

the answer is 4th option

Help !!!!!Ella is making a solid clay sculpture in the shape of a cone.

Answers

Answer:

26p of clay.

Hope this helped

Answer:

151

Step-by-step explanation:

First, you find the radius which is 8/2. Next, you square the radius which is 16. Now you multiply 16 by pi which is 50.26548246. Now you do 9 divided by 3 which is 3. Then you multiply 50.26548246 by 3 to get 150.7964474 or 151

The plot below shows the amount of liquid remaining in 555 basketball players' water bottles after practice. All measurements are rounded to the nearest \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction pint.

Answers

Answer:

3 times

Step-by-step explanation:

From the dot plot given ; distance between each tick mark is 1/4

Bottle with least water = 1/4

Bottle with most water = 3/4

Number of times bottle with most is more Than bottle with least :

All we need to do is divide the greatest by the least :

That is :

3/4 ÷ 1/4

3/4 * 4/1 = 12 / 4 = 3

3 times

Answer: 3 times

Step-by-step explanation:

(checking answer!)

What is the fraction representation of 0.196 (6 repeating)?

Answers

Answer:

49/250 I think I'm not sure though

Answer:

[tex]\frac{59}{300}[/tex]

Step-by-step explanation:

Recall that [tex]\frac{x}{9}[/tex] returns the decimal [tex]0.\overline{x}[/tex]. In this case, we only want the 6 repeating. We can achieve this by finding the fraction excluding the 6 and then adding the repeating fraction with the 6.

0.19 as a fraction is simply [tex]\frac{19}{100}[/tex]

[tex]\frac{6}{9}[/tex] returns a repeating digit 6. However, we would like the 6 to be in the thousands place. Since it's already in the tenth place, we will divide the fraction by 100 to put it in the thousands place: [tex]\frac{6}{9}\cdot \frac{1}{100}=\frac{6}{900}[/tex]

Adding these two fractions, we get:

[tex]\frac{6}{900}+\frac{19}{100}=\frac{6}{900}+\frac{171}{900}=\frac{177}{900}=\boxed{\frac{59}{300}}[/tex]

The difference of two numbers is 45. Their sum is 55. What are the two numbers?The difference of two numbers is 45. Their sum is 55. What are the two numbers?

Answers

Answer:

50, 5

Step-by-step explanation:

X=number 1

x-45=number 2

x+(x-45)=55

2x=100

x=50 number 1

x-45 is number 2

50-45=5 number 2

Which function has the greater x-intercept Function A X, 0,2,4,6 Y, 10,8,6,4 Function B y = -2x^2 + 1

Answers

Answer:

function A

Step-by-step explanation:

First, we need to find the function of A. USing the coordinate points (0, 10) and (2,8)

Since y = mx+c

m = y2-y2/x2-x1

m = 8-10/2-0

m = -2/2

m = -1

From the coordinate (0, 10), the y-intercept is 10 i.e c = 10

The required equation is y = -x + 10

x intercept occurs at where y = 0

0 = -x+10

x =10

Hence the x-intercept of function A is 10

For Function B y = -2x^2 + 1

when y = 0

0 = -2x^2 + 1

2x^2 = 1

x^2 = 1/2

x = 1/√2

Hence the x intercept is 1/√2

Hence the function that has a greater y-intercept is function A

hey! i’ll give brainliest please help

Answers

Answer:

subject

Step-by-step explanation:

subject is a noun (person, place or thing)

verb is doing something *example: running

object is a thing *example: apple

conjunction is a word used to connect sentences *example: but

The underline answer is the subject.

Verb: hit
Object: home run.
No conjunction present in that sentence

What is the range of 10, 20, 5, 6, 7, 8, 15, 17

Answers

Answer: 15

Step-by-step explanation: Line them up from smallest to largest. 5, 6, 7, 8, 10, 15, 17, 20. Then do the largest number minus the smallest number. In this case, its 20 - 5. That equals 15, so thats your answer

g(r)=25−3rg,
what does g(4) equal?

Answers

Answer:

g(4)= 25-12g

Step-by-step explanation:

g(r)= 25-3rg

g(4)= 25-3(4)g

g(4)= 25-12g

Answer:

13

Step-by-step explanation:

Khan

I need help with this please it would make my day

Answers

Answer:

Its Y=30

Step-by-step explanation:

5y+y+2y-60=180

8y-60=180

8y=240

8y/8=240/8

y=30

The price of a laptop decreased from RS50 000 to Rs45 000. Calculate the percentage decrease in the price.

Answers

half answer only .............

Answer:

Step-by-step explanation:

loss amount=Rs 50000-Rs 45000

=Rs 5000

loss%=loss amount/original amount100%

=5000/50000*100

=500000/50000

=10%

Shannon won $200 dollars playing Bingo last week. This week she won
$450. What is the percent of change in her winnings?

55.5% increase

125% decrease

55.5% decrease

125% increase

Answers

Answer: 125% increase

Step-by-step explanation: She won 200 dollars last week and now she won 450. If more, less divides. So 450 is more than 200.

This would give you 450/200. You're trying to find percentage so you multiply by a hundred. 450/200 * 100. This will give you 125%

Which numbers make a true statement when placed in the box? 5.067> □ Select each correct answer. 5.009 5.047 5.071 5.607

Answers

Answer: A, B

Step-by-step explanation:

Answer:

5.047 and 5.009

el gato?

write a function rule that represents the relationship between x and f(x)
photo below:

Answers

272636!!!..:dhsksbs

PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!


Answers

Answer:

Step-by-step explanation:

BaF2 + Na2S = 2 NaF + BaS

6. Mary worked 27 hours last week. If she gets paid $12/hour, what is her
gross pay?

Answers

Answer:

324

Step-by-step explanation:

you would multiply 27 × 12 and that would equal 324

Write a inequality for the graph below

Answers

Answer:

X ≥ -6

Step-by-step explanation:

since the arrow is pointing towards the right side i.e tending towards x

a recipe for pancakes requires 1 3/4 cups of milk. how much milk is needed to get twice as many pancakes

Answers

Answer:

7/2 cups of milk.

Step-by-step explanation:

1 3/4=7/4

2(7/4)=14/4=7/2

Answer:

7/2 cups of milk.

Step-by-step explanation:

If you want double the pancakes You must double the amount of milk:

First change it into an improper fraction:

1 3/4=7/4

then multiply it by two and simplify:

2(7/4)=14/4=7/2

The list shows the numbers of employees in the nine departments at a company.
14, 23, 6, 54, 30, 26, 17, 3,26
What is the range of the numbers of employees in these departments?
23
51
O
26
18

Answers

Answer:

Range: 51

Step-by-step explanation:

Subtract the biggest by the smallest number:

54 - 3 = 51

hope this helps and is right. p.s i really need brainliest :)

Can someone help me please?

Answers

Answer:

last option is correct:  bc^5(5abc^6 + 2)

Step-by-step explanation:

Solve for x: 3(x - 2) = -9
1. 1
2. -1
3. - 7/3
4. 3/7

Answers

Answer:

2) -1

Step-by-step explanation:

Answer:

the answer is 2. -1...............

In Paige’s class, 13 of the 20 students were born in Texas. Based in the information,
if there are 800 students at the school, how many students could be expected to have
been born in Texas?

Answers

Answer:

520

Step-by-step explanation:

13 out of 20 is equal to 520 out of 800

it is 65% and 65% of 800 is 520

If P= (2, 7) and Q= (2, -3), which could be the coordinates of R if triangle PQR is isosceles?

Answers

Answer: c

Step-by-step explanation:

7 - 2x - x4
b) How many terms are there?
c) What is the leading coefficient?
d) What is the constant term?
e) What is the degree of the expression?

Answers

Answer:

b)  three terms

c)  -1

d)  7

e) 4

Step-by-step explanation:

put the expression in decreasing exponent order with the constant at the end

-x⁴ - 2x + 7

With this format it is easy to find the leading coefficient which is the coefficient of the term with the highest exponent; in this case you only see a negative sign but every variable, if no other coefficient is present, has an invisible '1'

Other Questions
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