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jasenka [17]
3 years ago
15

Three friends are driving to New York City and splitting the gas cost equally. At the last minute, 2 more friends joined the tri

p. The cost of gas was then evenly redistributed among all of the friends. The cost for each of the original 3 decreased by $11.00. What was the total cost of the gas, in dollars?
Mathematics
1 answer:
algol [13]3 years ago
3 0
Let x = the total cost of gas, dollars.

Originally, each of the three friends was to pay x/3 dollars each.
Finally, with two more friends added, the cost became x/5 dollars each.

The savings for each of the original three friends is $11, therefore
x/3 - x/5 = 11
(2x)/15 = 11
x = (11*15)/2 = $82.50

Answer: The total cost of gas is $82.50

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Find equation of a line that is perpendicular to another line
lawyer [7]
Let ax+by=c be the given(known) line 
slope of this line (m₁) = -a/b 

Let m₂ be the slope of required line
Since given line and required line are perpendicular to each other, the product of their slopes must be equal to -1
Therefore, m₁.m₂ = -1
(-a/b)m₂ = -1
m₂ = b/a

Therefore, by slope-intercept form, line perpendicular to given line can be given by,

y=m₂x+c
y=(b/a)x+c
Therefore, ay-bx=c 
or bx-ay+c = 0
Where c is constant and it can be determined according to the conditions given in questions.
Therefore the required line is,

bx-ay+c=0
6 0
3 years ago
I'll literally give anyone brainliest if you answer this!!
Drupady [299]

Answer:

-15 and 0

Step-by-step explanation:

-15 + 15= 0

3 0
3 years ago
An amount of $180 is shared among three people in the ratio x: y: z.
sammy [17]

Answer:

$110 and $30

Step-by-step explanation:

To solve this, we need to know the total share which is,

4 + 11 + 3 = 18

Then, you need to know the fraction of the share over the total, such that

x = \frac{4}{18}

y =  \frac{11}{18}

z =  \frac{3}{18}

So if to find how much that'll be of the $180 for the largest and smallest share,

Largest:

\frac{11}{18}  \times 180 = 110

Smallest:

\frac{3}{18}  \times 180 = 30

6 0
3 years ago
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.05 per squ
jolli1 [7]

Sal will pay $77.78 to tile his entryway  

<h3><em><u>SOLUTION:</u></em></h3>

The image of the question is attached below.  

Given each unit length = 1 foot  

Tile cost per square feet = $1.  65

To find the area, split the floor shape into two shape.  

One is trapezoid and the other is parallelogram.  

Let's count the grid given.  

The parallels sides of trapezoid are 7 ft and 4 ft, height is 7 ft.  

The base and height of the parallelogram are 4 ft and 4 ft respectively.  

Area of the trapezoid =1/2 ×(sum or parallel  sides)× height

                                      =1/2× (7+4)×5

                                       =1/2×11×5

Area of the trapezoid = 27.5 sq.ft  

Area of the parallelogram = base × height  

                                       = 4 ft × 4 ft  

Area of the parallelogram = 16 sq. ft  

Total area = 27.5 sq. ft + 16 sq. ft  

              = 43.5 sq. ft  

Cost of area per sq. ft = $1.65  

Cost of area 43.5 sq. ft = 43. 5 × 1.65  

                                   = $71.775

                                   = $71.78  

Hence Sal will pay $71.78 to tile his entryway.

4 0
3 years ago
Please pick an answer.
Morgarella [4.7K]

Answer:

this is how you do it

Step-by-step explanation:

treat the < and > as equals

then solve for x easy peasy

7 0
3 years ago
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