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Jet001 [13]
2 years ago
11

A bus and a car leave the same place and traveled in opposite directions. If the bus is traveling at 50 mph and the car is trave

ling at 55 mph, in how many hours will they be 210 miles apart?
Mathematics
1 answer:
harina [27]2 years ago
6 0

Answer:

After Two Hours.

Step-by-step explanation:

A simple way to do it is to:

1. Add 50+55, it is equal to 105. This is after one hour, so we know that it's more than this.

2. Add 50+55 to 105, This is after two hours, and we get 210, so we know that it has to be equal to 2 hours.

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When factored completely, the expression 3x? – 9x + 6<br> equivalent to<br> is
vodka [1.7K]

Answer:

Step-by-step explanation:

The given quadratic expression is

3x² - 9x + 6

Dividing each term in the expression by 3 in order to simplify it further, it becomes

x² - 3x + 2 = 0

We would determine two numbers such that their sum or difference is -3x and their product is 2x².

The two numbers are - 2x and - x.

Therefore,

x² - 2x - x + 2

x(x - 2) - 1(x - 2)

(x - 1)(x - 2)

When the expression is factored completely, it is equivalent to

(x - 1)(x - 2)

6 0
2 years ago
The ratio of small dogs to big dogs at the park is 1:3. Which does not represent this ratio?
Karolina [17]

Answer:

C.2:4

Step-by-step explanation:

1*2=2

3*2=6

2:6=2:4

    |

    |

    |

not true so it is C.

5 0
2 years ago
Read 2 more answers
A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of
professor190 [17]

The fuel consumption of each of the cars during the week are as follows;

  • The first car consumes <u>20 gallons of fuel</u>.
  • The second car consumes <u>30 gallons of fuel</u>.

Reasons:

Fuel efficiency of the first car = 15 miles per  gallon

Fuel efficiency of the second car = 35 miles per gallon

Combined distance traveled by the two cars in a week = 1,350 miles

The total gas consumption during the week = 50 gallons

Let <em>x</em> represent the number of gallons consumed by the first car, and let <em>y</em>

represent the number of gallons consumed by the second car, we get the

following system of simultaneous equations;

  • 15·x + 35·y = 1,350...(1)
  • x + y = 50...(2)

Therefore;

y = 50 - x

Which gives;

15·x + 35 × (50 - x) = 1,350

15·x + 1,750 - 35·x = 1,350

1,750 - 1,350 = 35·x - 15·x = 20·x

400 = 20·x

x = 400 ÷ 20 = 20

  • The number of gallons consumed by the first car, x = <u>20 gallons</u>

From equation (2), we have;

x + y = 50

y = 50 - x

Therefore;

y = 50 - 20 = 30

  • The number of gallons consumed by the second car, y = <u>30 gallons</u>

Learn more about word problems that lead to simultaneous equations here:

brainly.com/question/1717365

6 0
2 years ago
**WARNING** IF YOU ANSWER THIS QUESTION INCORRECTLY OR TRY TO ANSWER WITH FOOLISHNESS YOU WILL GET REPORTED
frozen [14]

The solution is attached as a word file.

Download doc
3 0
3 years ago
X^2-3×=2 use quadratic equation ​
abruzzese [7]

Answer:

(-3+√17 )/2. or( -3-√17)/2

hope you got it

4 0
3 years ago
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