1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
n200080 [17]
3 years ago
5

At a gas station during a road trip, Gerard has $32.00 to spend on fuel and windshield washer fluid for his car. Fuel costs $2.7

5 per gallon, and each bottle of windshield washer fluid costs $3.00. The car's average fuel efficiency is 38 miles per gallon. If Gerard must fill his car with enough fuel to drive 250 miles, what is the maximum number of bottles of windshield washer fluid Gerard can buy? (Note: all prices include taxes.)​
Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

Total amount with Gerald = $32

Cost of fuel per gallon = $2.75

Cost of each bottle of windshield = $3

38 miles per gallon. If Gerard must fill his car with enough fuel to drive 250 miles,

Total gallons of fuel = 250 miles / 38 miles

= 6.5789473684210 gallons

Total cost of fuel = Total gallons of fuel × cost per gallon

= 6.5789473684210 × $2.75

= $18.1

Amount left for windshield = Total amount with Gerald - Total cost of fuel

= $32 - $18.1

= $13.9

what is the maximum number of bottles of windshield washer fluid Gerard can buy?

= Amount left for windshield / Cost of each bottle of windshield

= $13.9 / $3

= 4.6333333333333 bottles

Maximum number of bottles =

4 bottles

You might be interested in
3 2/3 of 4/5 of pizza equals how many pizza
Reil [10]

Answer:

11/3 x 4/5 = 44/15 = 2 14/15

7 0
3 years ago
What is the value of c
Oksana_A [137]

Answer:

c=28

Step-by-step explanation:

In a convex polygon, all the exterior angles are congruent to each other.

I'll be choosing the two angle degrees of 4c-28 and 3c and set them equal to each other.

4c-28=3c

Therefore, c=28

4 0
3 years ago
What polynomial identity should be used to prove that 35 = 8 + 27
Julli [10]

Answer:

Sum of cubes identity should be used to prove 35 =3+27

Step-by-step explanation:

Prove that : 35 = 8 +27

Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.

Sum of the cubes identity:

a^3+b^3=(a+b)(a^2-ab+b^2)

Take RHS

8+ 27

We can write 8 as 2 \times 2 \times 2 = 2^3 and 27 as 3 \times 3 \times 3 = 3^3.

then;

8+27 = 2^3+3^3

Now, use the sum of cubes identity;

here a =2 and b = 3

2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)

or

2^3+3^3 = (5)(4-6+9) = 5 \cdot 7 = 35 = LHS    proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0
3 years ago
Read 2 more answers
The sum of two integers is 9 and the sum of their squares is 53. Find the integers.
Schach [20]
X + y = 9 Subtract x from both sides.
y = 9 - x

x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x =  2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
6 0
3 years ago
4x-y=1 inslope intercept form please show work
shutvik [7]

Answer:

y = 4x - 1

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 )

rearrange 4x - y = 1 into this form

add y to both sides

4x = y + 1 ( subtract 1 from both sides )

4x - 1 = y

y = 4x - 1 ← in slope-intercept form


5 0
3 years ago
Other questions:
  • Help please with an explanation
    7·1 answer
  • Shawna sold half of her comic books and then bought ten more. She now has 35. With how many did she begin?
    15·1 answer
  • On a number line, show all values of x for which…<br> |x |&lt; 1
    11·1 answer
  • If the circumference is 78.1 inches what is the diameter rounded to the nearest 10th
    7·1 answer
  • Y+3= -5(x-1) write the equation in slope intercept form
    7·1 answer
  • HELPPP!!!!! AGAIN !!! MAARKING BRAINLIST! mAtH
    7·2 answers
  • What is the total purchase price if you buy a chain saw for $539.95 and 2 safety chaps for $69.95 each, with a sales tax of 5%
    7·1 answer
  • Which ratio is equivalent to 3:9?<br> O 24:54<br> O 18:54<br> O 36:81
    11·1 answer
  • Triangle ABC is ransformed to obtain angle ABC
    7·1 answer
  • Which values below belong in this table? Select all that apply.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!