Answer this question correctly and you'll get a good 13 points! Please help me! :) Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the distance in 4.5 h. Car B traveled 5 mph slower than Car A.How fast did Car B travel? How many MPH?

Answers

Answer 1

Answer: Time = Distance / Speed OR Distance = Time * Speed OR Speed = Time * Distance

Since both cars travelled the same distance; it is safe to have this formula to get the actual distance travelled.

Let X = distance in MPH

Car A = Car B
4 hours * X    = 4.5 hrs * (X - 5MPH)
4X    = 4.5(X-5)
4X = 4.5X - 22.50
4X - 4.5X = -22.50
-0.5X = -22.50
X = -22.50 / -0.5
X = 45 MPH

Speed of Car B = 4.5 hrs * (45-5)
   = 202.50 - 22.50
Speed of Car B = 180 MPH

TO CHECK
Speed of Car A = 4hrs * 45 MPH
Speed of Car A = 180 MPH

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Complete the equation below to make it true. Hint: Think about place value.8,439 = 9 + ___ + 30 +___

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1 blank needs to be 8,000 and the other 400!

A line with slope 3 passes through the points( 5,2)and (9,y) Find y

Answers

The ormula of a slope:

$m=(y_2-y_1)/(x_2-x_1)$

We have the points (5, 2) and (9, y) and the slope m = 3.

Substitute:

$(y-2)/(9-5)=3\n\n(y-2)/(4)=3\qquad\text{multiply both sides by 4}\n\ny-2=12\qquad\text{add 2 to both sides}\n\n\boxed{y=14}$

The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?

Answers

Answer:

Step-by-step explanation:

Let the numbers be x and y.

"The sum of two numbers is 43." gives us the first equation.

x + y = 43

"One number is five less than three times the other number." gives us the second equation.

y = 3x - 5

Now we solve the system of two equations below.

x + y = 43

y = 3x - 5

Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.

x + y = 43

x + 3x - 5 = 43

4x - 5 = 43

4x = 48

x = 12

The first number is 12. Now we find the second number.

x + y = 43

12 + y = 43

y = 31

The larger number is 31.

Answer:

31 is greater

Step-by-step explanation:

I will solve your system by substitution.

x=3y−5;43=x+y

Step: Solve x=3y−5 for x:

Step: Substitute 3y−5for x in 43=x+y:

43=x+y

43=3y−5+y

43=4y−5 (Simplify both sides of the equation)

43+−4y=4y−5+−4y (Add -4y to both sides)

−4y+43=−5

−4y+43+−43=−5+−43 (Add -43 to both sides)

−4y=−48

(Divide both sides by -4)

y=12

Step: Substitute12foryinx=3y−5:

x=3y−5

x=(3)(12)−5

x=31(Simplify both sides of the equation)

Answer:

x=31 and y=12

31 is greater than 12

HELP DUE TOMORROW ANSWER ALL FOUR PARTS PLZ

Answers

Answer:

7. A

8. C

9. C

10. A

Step-by-step explanation:

You just have to work each one out. This is very simple.

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