Given:
A train travels 288 km at a uniform speed.
If the speed has been 4 km per hour more it would have taken one hour less for the same journey.
To find:
The initial speed of the train.
Solution:
Let x km/h be the initial speed on the train.
New speed of train = (x+4) km/h
We know that,
Time taken by the train initially to cover 288 km is 
hours.
New time taken by the train to cover 288 km is 
hours.
It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.
Splitting the middle term, we get
We know that the speed cannot be negative. So, the only possible value of x is 32.
Therefore, the speed of the train is 32 km/h.
Using proportions, it is found that the computer will cost $1,043.04.
<h3>What is a proportion?</h3>
A proportion is a fraction of total amount.
In this problem, the total amount is composed by:
- An initial payment of $150.
- 6% sales tax, which means that the price is increased by 6%, that is, the previous amount is multiplied by 1.06.
Hence, the cost is given by:
C = 1.06 x (150 + 12 x 69.50) = 1043.04.
The computer will cost $1,043.04.
You can learn more about proportions at brainly.com/question/24372153
Answer:
B
Step-by-step explanation:
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Answer:
5x +3y>-15
5(0)+3(0)
0+0= 0 > -15
Step by step explanation
We have to create a scenario that leads to an inequality of the form ax + b > c.
<em>
</em>
<em>Word problem: A family went to an park. Entry fee of the park for a family is $20 and the cost of a ride is $10 per person. The family spent more than $100 on that ride.
</em>
The required inequality is
Subtract 20 from both sides.
Divide both sides by 10.
It means the number of rides must be greater than 8.
Answer:
The ratio is 1:3
Step-by-step explanation:
Let
x -----> the number of tables in the restaurant
y ----> the number of chairs in the restaurant
we know that
To find out the ratio of tables to chairs in the restaurant, divide the number of tables by the number of chairs
we have
so
The ratio is equal to
Simplify
Divide by 18 both numerator and denominator
therefore
The ratio is 1:3
