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AlexFokin [52]
3 years ago
12

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2h, and Car B traveled the distan

ce in 1.5 h. Car B traveled 15 mph faster that car A. How fast did Car B travel?
Mathematics
1 answer:
mote1985 [20]3 years ago
4 0
Let the speed of car B be x.
Car B is faster than car A 15mph so the speed of car A would be: x-15.
From the problem, we could come up with an equation:
2(x - 15) = 1.5x \\ x = 60
So car B was traveling at 60mph

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Which statements about the system are true? Check all that apply. y =1/3 x – 4 3y – x = –7 The system has one solution. The syst
fredd [130]

Answer:

The true statements are:

- The system consists of parallel lines

- Both lines have the same slope

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   y = 1/3 x - 4 ⇒ (1)

   3y - x = -7 ⇒ (2)

- Lets put equation (1) in the form of equation (2)

∵ y = 1/3 x - 4 ⇒ multiply both sides by 3

∴ 3y = x - 12 ⇒ subtract x from both sides

∴ 3y - x = -12

∴ Equation (1) is 3y - x = -12

∵ Equation (2) is 3y - x = -7

∵ The coefficients of x and y in the two equation are equal

∵ The numerical terms in the two equations are not equal

∴ The equations have no solution because their lines are parallel

∵ The parallel lines have same slope

* The true statements are

- The system consists of parallel lines

- Both lines have the same slope

7 0
3 years ago
Read 2 more answers
Fuimos al Circo "Hermanos Poncho y Carlos", y tuvimos que pagar en total $350 por mis dos hermanos, mis padres y yo. Mi mamá pag
nalin [4]

Answer:

$160

Step-by-step explanation:

El monto total a pagar es de $350

\dfrac{1}{7} es pagado por mamá

\dfrac{2}{5} es pagado por el hermano mayor

La porción pagada por papá es

1-(\dfrac{1}{7}+\dfrac{2}{5})=1-(\dfrac{5+14}{35})\\ =1-\dfrac{19}{35}\\ =\dfrac{35-19}{35}\\ =\dfrac{16}{35}

Esta cantidad pagada por papá es

350\times\dfrac{16}{35}\\ =10\times 16\\ =\$160

Esta cantidad pagada por papá es $160.

3 0
2 years ago
caden built a rectangular prism that has a length of 8 units a width of 3 units, and a height of 5 units. what is the volume of
gtnhenbr [62]
To calculate the volume of a prism you multiply the area of it's cross section by the length Therefore 5 x 3= 15 (Area of the rectangle) 15x8= 120 (Volume of prism)
6 0
3 years ago
Read 2 more answers
Whats the answer to 1/5x=121 x=?
weqwewe [10]
You have an algebraic expression in which you are solving for x.  When you are solving for a variable, you need to isolate it all alone.  Since you are multiplying by 1/5, you will have to undo it by multiplying by its reciprocal.  In this case you are multiplying both sides by 5/1.

5/1 *1/5x = 121*5/1
x = 605

To check your answer, plug this value in for x and multiply it by 1/5.  You should arrive at 121!  Good luck!
3 0
3 years ago
What is the value of X?<br><br> 37 x X = 222
balandron [24]

Answer:

87

Step-by-step explanation:

sorry if im wrong

6 0
2 years ago
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