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
gayaneshka [121]
3 years ago
9

1. Justin’s car can travel 77.5 miles using 3.1 gallons of gas.

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
5 0
Distance/fuel=ratio 77.5/3.1 is proportional to xdistance/8.2 77.5/3.1=x/8.2 multiply both sides by (3.1*8.2) 635.5=3.1x divide both sides by 3.1 205=x 205 miles 2. easy peasy one way is boys+15=girls boys+girls=85 boys+boys+15=85 minus 15 2boys=70 divide 2 boys=35
lisabon 2012 [21]3 years ago
4 0
1)  Write this as a ratio...

77.5 miles / 3.1 gallons = x miles / 8.2 gallons

Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.

8.2 gallons * 77.5 miles / 3.1 gallons = x
635.5/ 3.1 = x
211.83 miles = x

Justin travels 211.83 miles on 8.2 gallons of gas

2) If we let boys = b, then girls has to be b + 15 (since there are 15 more girls than boys).  Now together there are 85 members of the band so... boys + girls = 85  and since girls is b + 15, then...

b + b+15 = 85

Now solve for b.  First combine like terms...

2b + 15 = 85

Now subtract 15 from each side (cancels the 15 on the left)

2b + 15 - 15 = 85 - 15
2b = 70

Now divide each side by 2 (cancels 2 on the left)

2b / 2 = 70 / 2
b = 35

So there are 35 boys in the band.

Just FYI, that also means there are 35+15 = 50 girls.  Just so happens that 50 + 35 = 85 so our work checks!

 
You might be interested in
3x 2y = 4 2x - y = 5 this system of equations has no solution. has one solution. is coincident.
juin [17]

Answer:

no solution

Step-by-step explanation: because if it has no variables that are the same it has no solution.

7 0
2 years ago
Marcus hired a car service to drive him to the airport. The bill came to $56.80. He gave the driver a 20% tip. How much money di
ella [17]
<span>$11.36- would be the correct answer, hope this helps. merry Christmas & Happy Holidays! =)</span>
3 0
3 years ago
Read 2 more answers
I neeeee helppppppppp
kaheart [24]

Answer:

The pin number is 1147

Step-by-step explanation:

We have given that:

Maritza remembers her PIN because it is the product of two consecutive prime numbers that is between 1000 and 1500.

Pin number is between 1000 and 1500

PIN is the product of two consecutive prime numbers.

Prime numbers are those numbers which are divisible by one or itself only.

So,

prime numbers are 1, 3, 5, 7,………29, 31,37, 41, …..

Multiply  29 x 31 = 899  which does not come in the range of 1000 and 1500.

Next,

31 x 37 = 1147 this is between 1000 and 1500

Next

37 x 41 = 1517, which is above 1500.

Thus the pin number is 1147....

7 0
3 years ago
GE produces 5 different sizes of TVs using 2 machines. Different sizes of TVs take different amount of time to get processed at
OLga [1]

Answer:

Option # C: 5

Step-by-step explanation:

Decision variables, as the name imply are entities that can have different values in the given scenario and which in turn produce different outcomes. For our question, the variables are the sizes of TVs available, as the production time and profit depend on the sizes. Hence, TV sizes (i.e. 5) are our decision variables.

Furthermore, it does not matter on which machine the TVs are being manufactured as they will take identical time for same TV size. Thus we do not consider the number of machines as our decision variables.

8 0
3 years ago
Can two lines be drawn from a point not on a line that will meet the line at a right angle? at a 45° angle? explain each answer.
vichka [17]
I believe the the correct answer would be yes. Two lines can be drawn from a point that is not collinear with a certain line that will meet the line at a right angle or 90 degree angle and at an angle of 45 degrees. We can freely draw any line that would pass through a given point and would cross a given line at any direction giving us different angles and this would include a 90 and 45 degree angle.
5 0
3 years ago
Other questions:
  • Lets find 1/3 - 1/12<br><br> 1/3 - 1/12 = ___/12 - 1/12 =___/___<br><br> Fill in the blanks
    12·1 answer
  • Find the solution set.<br> x? + 20x + 100 = 0<br> Enter the correct answer.
    5·1 answer
  • PLZ ANSWER BEING TIMED!!!!!!!!!! WILL MARK BRAINLIEST GIVE THANKS AND MARK 5 STARS!!!!!!!
    5·1 answer
  • 1. Different students drew random samples of size 50 from the mystery bag. The number of red chips each drew is given below. In
    11·1 answer
  • 30 points for 2 questions
    12·1 answer
  • H(x)=4/x-5 determine for each x-value whether it is in the domain of h or not
    12·1 answer
  • What equation is equivalent to 2+3(2x+4)=13
    10·1 answer
  • Which is the slope of the line that passes through the points (4,2) and (6,7)?
    13·2 answers
  • Please refer to the attachment​
    12·1 answer
  • Which equation has the solution x=4?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!