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natka813 [3]
4 years ago
11

How long does it take to drive 30 miles at 75 mph?

Mathematics
1 answer:
Mazyrski [523]4 years ago
3 0
If you didn't go in a straight line, you will not reach 30 miles but however 30 miles, in general, going at a pace of 75mph it would take you 1 through 1 hour and a half.
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Solve the system by substitution. Check your solution.
postnew [5]

Answer:

(9,126)

Step-by-step explanation:

Make sure x and y are on the same side

0.5x+0.25y=36\\16x-1y=18

Eliminate y by multiplying the first equation by 4 then adding both equations together

2x+1y=144\\16x-1y=18\\18x=162\\x=9

Plug the x value (9) into one of the equations

16(9)-1y=18

Solve

16(9)-1y=18\\144-1y=18\\144=18+1y\\126=y

x=9, y=126

(9,126)

8 0
3 years ago
The Spanish club sold hot pretzels as a fundraiser. The pretzels normally sold for $2.00, but near the end of the sale the price
Maurinko [17]
The new price is 1.50$
5 0
3 years ago
Margaret drove to a business appointment at 80 mph. Her average speed on the return trip was 70 mph. The return trip took her 1/
Gnoma [55]

Margaret traveled 80 miles to the appointment.

Step-by-step explanation:

Given,

Speed while driving for appointment = 80 mph

Speed while coming back = 70 mph

Let,

x be the time taken for the trip

y be the distance covered

Distance = Speed*Time

y = 80x     Eqn 1

Time taken in return trip = x+1/7

y = 70(x+1/7)

y=70x+10   Eqn 2

Putting value of y from Eqn 1 in Eqn 2

80x=70x+10\\80x-70x=10\\10x=10

Dividing both sides by 10

\frac{10x}{10}=\frac{10}{10}

x = 1 hour

Putting x = 1 in Eqn 1

y=80(1) \\y=80

Margaret traveled 80 miles to the appointment.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

5 0
4 years ago
A manufacturer produces two models of toy airplanes. It takes the manufacturer 20 minutes to assemble model A and 10 minutes to
Georgia [21]

Answer:

A - 90 units

B = 0 units

Step-by-step explanation:

Here we have two models A and B with the following particulars

Model A B    (in minutes)

 

Assembly 20 15

Packing          10 12

Objective function to maxmize is the total profit

z=12A+8B where A and B denote the number of units produced by corresponding models.

Constraints are

20A+15B\leq 1800\\\\10A+12B\leq 1080

These equations would have solutions as positive only

Intersection of these would be at the point

i) (A,B) = (60,40)

Or if one model is made 0 then the points would be

ii) (A,B) = (90,0) oriii) (0, 90)

Let us calculate Z for these three points

A B Profit

60 40 1040

90 0 1080

0 90 720

So we find that optimum solution is

A -90 units and B = 0 units.

6 0
3 years ago
Evaluate 4log4(3,100)
alexdok [17]

Answer:

{ \tt{4 log_{4}(3100) }} \\  = { \tt{4 log_{4}(775 \times 4) }} \\  = { \tt{4 log_{4}(775)  + 4 log_{4}(4) }} \\  = { \tt{4( (\frac{ log_{10}775 }{ log_{10}4 } ) +1)}} \\  = { \tt{4(4.8 + 1)}} \\  = { \tt{23.2}}

8 0
3 years ago
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