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
finlep [7]
3 years ago
11

Darnell's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline

to travel 350 miles. How many more miles per gallon did Darnell's car travel after the mechanic worked on it?
Mathematics
1 answer:
wariber [46]3 years ago
7 0

Answer:

7.5 miles per gallon

Step-by-step explanation:

Given that:

8 gallons of gasoline traveled 340 miles

After being worked on by the mechanic :

7 gallons travels 350 miles

How many more miles per gallon did Darnell's car travel after the mechanic worked on it?

Obtain the unit mile traveled per gallon before and after the mechanic worked on the car :

Miles per gallon before being worked on by mechanic :

340 miles / 8 gallons = 42.5 miles per gallon

Miles per gallon after being worked on by mechanic :

350 miles / 7 gallons = 50 miles per gallon

(50 - 42.5) = 7.5 miles per gallon

Hence, vehicle moved 7.5 more miles per gallon after bwing worked on by mechanic.

You might be interested in
The baseball coach bought 8 new baseballs for $3 each. The basketball coach bought 6 new basketballs for $11 each. How much more
tia_tia [17]

Answer:

$42 more.

Step-by-step explanation:

Baseball: 8(3) = $24

Basketball: 6(11) = $66

66 - 24 = $42

8 0
3 years ago
I NEED HELP GIVING POINTS AND BRAINLIEST.
Sonja [21]
The answer is A: 15*
4 0
3 years ago
Read 2 more answers
How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof?
lilavasa [31]

All the theorems are proved as follows.

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices and three angles.

1. The Triangle sum Theorem

According to the Triangle Sum Theorem, the sum of a triangle's angles equals 180 degrees.

To create a triangle ABC, starting at point A, move 180 degrees away from A to arrive at point B.

We turn 180 degrees from B to C and 180 degrees from C to return to A, giving a total turn of 360 degrees to arrive to A.

180° - ∠A + 180° - ∠B + 180° - ∠C = 360°

- ∠A - ∠B  - ∠C = 360° - (180°+ 180°+ 180°) = -180°

∠A + ∠B  + ∠C = 180°

(Hence Proved)

2. Isosceles Triangle Theorem

Considering an isosceles triangle ΔABC

with AB = AC, we have by sine rule;

\rm \dfrac{sinA}{BC} =  \dfrac{sinB}{AC} =  \dfrac{sinC}{AB}\\

as AB = AC

sin B = sin C

angle B = angle C

3.Converse of the Isosceles theorem

Consider an isosceles triangle ΔABC with ∠B= ∠C, we have by sine rule;

\rm \dfrac{sinA}{BC} =  \dfrac{sinB}{AC} =  \dfrac{sinC}{AB}\\

as  ∠B= ∠C ,

AB = AC

4. Midsegment of a triangle theorem

It states that the midsegment of two sides of a triangle is equal to (1/2)of the third side parallel to it.

Given triangle ABC with midsegment at D and F of AB and AC respectively, DF is parallel to BC

In ΔABC and ΔADF

∠A ≅ ∠A

BA = 2 × DA, BC = 2 × FA

Hence;

ΔABC ~ ΔADF (SAS similarity)

BA/DA = BC/FA = DF/AC = 2

Hence AC = 2×DF

5.Concurrency of Medians Theorem

A median of a triangle is a segment whose end points are on vertex of the triangle and the middle point of the side ,the medians of a triangle are concurrent and  the point of intersection is inside the triangle known as Centroid .

Consider a triangle ABC , X,Y and Z are the midpoints of the sides

Since the medians bisect the segment AB into AZ + ZB

BC into BX + XB

AC into AY + YC

Where:

AZ = ZB

BX = XB

AY = YC

AZ/ZB = BX/XB = AY/YC = 1

AZ/ZB × BX/XB × AY/YC = 1 and

the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).

To know more about Triangle

brainly.com/question/2773823

#SPJ1

8 0
1 year ago
Simplify x + 3x - 36
OleMash [197]

Answer:

4x-36

Step-by-step explanation:

3x+x=4x

7 0
3 years ago
Read 2 more answers
Evaluate each function for the given value
Mariulka [41]

Answer:

3)  5

5)  1

Step-by-step explanation:

substitute the value of 9 for each 'x' in the expression

3) h(9) = 2/3(9) - 1

            = 18/3 - 1

            = 6-1 or 5

substitute the value of 5 for each 'x' in the expression

5) f(5) = -5² + 6(5) - 4

         = -25 + 30 - 4

         = 5-4 or 1

7 0
2 years ago
Other questions:
  • There are 5 cards with a picture of a rose and 1 card with a picture of a daisy.
    5·2 answers
  • Which equation or graph represents a non proportional relationship
    15·1 answer
  • Diego can type 140 words in 4 minuets. At this rate, how long will it take him to type 385 words
    14·2 answers
  • I just wanted to say hi and have a nice day. you are loved by me and everyone else &lt;3
    11·2 answers
  • Please help with this question. The length of a jogging trail is 3528 m. A jogger wants to complete the trail within 30 min.
    15·2 answers
  • Zach has a credit card with a $500 limit. He has used the card to pay $120.32 for groceries. How much more can Zach spend withou
    12·1 answer
  • What is 11/12 divided 1/3
    10·2 answers
  • Rachael is a nurse she earns 12 vacation days after working 768 hours how many hours does rachael need to work to earn 1 vacatio
    9·1 answer
  • Help plsssssssssssssssss
    9·1 answer
  • Please help me drag top to bottem
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!