Help? i need to due right now

Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0

2 years ago

Which is equivalent to 4(x + 7)? 0 4x + 7 0 4x + 28 O 4 + 28 O4 + 7x

Leni [432]

4x + 28

Distribute the four to both numbers to and add the x to the four for 4x 4 x 7= 28 so

4x + 28

8 0

2 years ago

The department of transportation is repaving 3 1/3 miles of the interstate. If the workers can repave 2/3 of a mile per day, how

Crazy boy [7]

Answer:

5 days

Step-by-step explanation:

(3 1/3 miles)/(2/3 miles/day) = (10/3)/(2/3) days = 10/2 days = 5 days

_____

time = distance / speed

8 0

3 years ago

Sharon is conducting research on two species of birds at a bird sanctuary. The number of birds of species A is represented by th

e-lub [12.9K]

Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.

Step-by-step explanation:

Given: Sharon is conducting research on two species of birds at a bird sanctuary.

The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.

$S=2^x+12$

The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.

$S=15x+35$

To plot the above function, first find points by which they are passing.

For species A, At x=0 , $S=1+12=13$

At x=2 , $S=2+12=14$

Similarly find more points and plot curve on graph.

For species A, At x=0 , $S=0+35=35$

At x=2 , $S=15+35=50$

Plot a line with the help of these two points.

Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.

8 0

2 years ago

Read 2 more answers

4. Suppose Tyler sprayed around the house for ants. Which formula would be used to find the number of ants still alive after a c

babunello [35]

Answer:

I think that the answer is A.

Step-by-step explanation:

6 0

2 years ago