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Ksenya-84 [330]
3 years ago
15

A car travels the first 50km of its journey at an average speed of 25m/s and the next 120km at an average speed of 80km /h . The

car completes the last part of its journey at an average speed of 90Km/h in 35 minutes . Find the average speed for its entire journey , giving your answer in km/h
Step by step
Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

What do you need me to do

Step-by-step explanation:

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Which statements about this system of equations are true? Check all that apply. - x + 6y = 16 8x - 6y = -2 The x-variable will b
frutty [35]

Answer:

The true statements are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations is

Step-by-step explanation:

* Lets explain how to solve the problem

- We use the elimination method to solve the system of the

  linear equation

- The solution is one of three cases

# Exactly one solution ⇒ the 2 lines which represented the equations

  intersect each other at one point

# No solution ⇒ the 2 lines which represented the equations are

  parallel to each other

# Infinite solutions ⇒ the two lines are coincide

- In the system of the linear equations of the problem we have two

 linear equations  -x + 6y = 16 and 8x - 6y = -2

- To solve we must to eliminate one of the two variables

∵ The y's in the two equations have the same coefficients and

   different signs

∴ We add the equations to eliminate y

∴ (-x + 8x) + (6y - 6y) = 16 + -2

∴ 7x = 14 ⇒ divide both sides by 7

∴ x = 2

- Substitute the x in any one of the two equations by 2

∴ -2 + 6y = 16 ⇒ add 2 to both sides

∴ 6y = 18 ⇒ divide both sides by 6

∴ y = 3

∴ The solution of the system of the equations is (2 , 3) ⇒ only one

   solution

- Lets check the statements to find the true statements

# The x-variable will be eliminated when adding the system of

   equations is not true

# The y-variable will be eliminated when adding the system of

   equations is true

# The sum of the system of equations is - x + 6y is not true

# There is only one solution to the system of equations is true

6 0
3 years ago
Read 2 more answers
Math is hard can u help me
Mariana [72]
What do you need? I know many mathematical skills
7 0
3 years ago
Read 2 more answers
If f(x) = 2x6 + 3x5 – 1, then what is the remainder when f(x) is divided by<br> x + 1?
Alchen [17]
<h3>Answer:   -2</h3>

===============================================

Explanation:

We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).

Comparing x+1 to x-k shows that k = -1

It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.

Plug this k value into the function

f(x) = 2x^6 + 3x^5 - 1

f(-1) = 2(-1)^2 + 3(-1)^5 - 1

f(-1) = 2(1) + 3(-1) - 1

f(-1) = 2 - 3 - 1

f(-1) = -1 - 1

f(-1) =-2

The remainder is -2

We can confirm this through synthetic division or polynomial long division.

5 0
3 years ago
Drag the simplified value into the box to match each expression.
JulijaS [17]
Can you tell me what the expressions, values and all that are
I ca't help with out the details.
7 0
2 years ago
Read 2 more answers
Change the fraction 3/4 to a percent
Rom4ik [11]
To convert 3/4 to a percent we need to convert 3/4 to a decimal and then multiply the decimal by 100. Lets do it:-

To convert a fraction to a decimal we have to divide the numerator by the denominator.

3/4  
3 ÷ 4 = 0.75

Decimal = 0.75

0.75 × 100 = 75
75%.

So, 3/4 in percent form is 75%.

Hope I helped ya!! xD 
6 0
3 years ago
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