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2 years ago

If a car can travel 78 miles using 3 gallons of gas, what is the unit rate?

Mathematics

2 answers:

Cloud [144]2 years ago

8 0

Answer:

Step-by-step explanation:

The unit rate refers to the distance the car can travel using 1 gallon of gas. One way to solve this is to create an algebraic equation like $78=3x$ . Then, to find the unit rate isolate x by dividing both sides by 3. This means that the unit rate is 26.

seraphim [82]2 years ago

5 0

Answer:

Step-by-step explanation:

Well since a car can travel 78 miles Using 3 gallons

78/3=26

26 miles for each gallon

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Holly spends 7 3/5 hours in school each day. Her lunch is 1/2 hour long, and she spends 7/10 of a hour switching classes. The re

Ira Lisetskai [31]

y = 7 + 3/5
y = 35/5 + 3/5
y = 38/5
y = 2*(38/5)
y = 76/10
---
lunch time:
z = 1/2
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15

x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666

answer:
1.07 hours

5 0

3 years ago

A test is worth 50 points. Multiple- choice questions are worth 1 point, and short answer questions are worth 3 points. if the t

bagirrra123 [75]

Correct answer is C.
m + 3s = 50
the total number of questions is 20. since the paper is made of only multiple choice and short answer questions, the sum of the multiple choice and short answer questions should be 20.
since multiple choice is 'm' and short answer is 's'
then m + s = 20
but theres no option for that
if we take the number of points
points for 1 multiple choice question - 1
then points for m number of multiple choice questions = 1 * m = m
points for 1 short answer - 3
then points for s number of short answer question = 3 * s = 3s
then total number of points = m + 3s
and the total number of points = 50
therefore
m + 3s = 50
this is the correct answer C.

3 0

3 years ago

Read 2 more answers

A website sells a dress at £40 and shoes at £32. The website has an offer: Buy a dress and shoes together and get 1/2 off the pr

tekilochka [14]

Answer:

$\pounds36$

Step-by-step explanation:

Cost of one dress = $\pounds40$

Cost of one pair of shoes = $\pounds32$

Cost of one dress and a pair of shoes is $40+32=\pounds72$

They get half off the price because they buy both

$\dfrac{72}{2}=\pounds32$

The shipping and handling charge is $\pounds4$ .

So, the total amount Ruth has to pay is $32+4=\pounds36$ .

6 0

3 years ago

Question 4 of 15

melisa1 [442]

“C” Os the correct answer

5 0

3 years ago

What does it mean by type of angles and relationship between the angles if the line are parallel ?

valkas [14]

Where two lines cross, four (4) angles are formed. Two adjacent angles that share a vertex can be called a "linear pair." Two non-adjacent angles that have the same vertex and the same lines for sides, are called "vertical angles."

Where a transversal crosses two parallel lines, eight (8) angles are formed, four (4) at each intersection. In addition to the above angle types, there are other relationships that can be described.

Angles can be called corresponding, if they are in the same location relative to the intersection point (both on the north-east corner, for example). Angles are interior if they are between the parallel lines; exterior of they are not. They get the additional descriptor of opposite, if they are on opposite sides of the transversal.

If the angles are not opposite, and share a side but not a vertex, they can be called adjacent. (Only interior angles can be adjacent, one pair on either side of the transversal.)

_____

With the above definitions in mind, several relationships arise where a transversal crosses parallel lines. (Types of angles are italicized.) Two examples of each type are listed by angle numbers. Angles 1 and 2 are a linear pair, for example.

Angles of a linear pair are supplementary. (1, 2), (5, 7)

Vertical angles are congruent. (1, 4), (6, 7)

Adjacent angles are supplementary. (3, 5), (4, 6)

Corresponding angles are congruent. (1, 5), (4, 8)

Opposite interior angles are congruent. (3, 6), (4, 5)

Opposite exterior angles are congruent. (1, 8), (2, 7)

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3 years ago