What are two different ways you can show 103?

Can someone please help me with number 2?I don't know what I did wrong.

Dmitry [639]

Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

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

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>

When going 70 mph, it takes about 3.08 hours
When going 55 mph, it takes about 3.92 hours

6 0

3 years ago

Each day her goal is to make 4 more baskets than she made thr day before. If she makes 10 baskets the first day and meets her go

irina [24]

Answer:

Janelle will make <u>62 baskets</u> on 14th day.

Step-by-step explanation:

Given,

Number of goals on 1st day = 10

We need to find the number of goals on 14th day.

Solution,

Since Janelle made 10 goals on 1st day and want to make 4 more basket from the day before.

So we can say that;

$a_1=10$ and $d=4$

And also $n=14$

here $a_1$ = first term

d = common difference

n = number of terms

Now we apply the formula of A.P.

$T_n=a_1+(n-1)d$

now substituting the given values, we get;

$T_{14}=10+(14-1)4\\\\T_{14}=10+13\times 4\\\\T_{14}=10+52 =62$

Hence Janelle will make <u>62 basket</u> on 14th day.

7 0

3 years ago

For the month of November in a certain city, 88% of the days are cloudy. Also in the month of November in the same city, 54%

Gnoma [55]

Answer:

There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.

Step-by-step explanation:

We have these following probabilities:

An 88% probability that the day is cloudy.

An 54% probability that the day is both foggy and cloudy.

What is the probability that a randomly selected day in November will be foggy if it is cloudy?

This is the percentage of days that are cloudy and foggy divided by those that are cloudy. So:

$P = \frac{0.54}{0.88} = 0.6136$

There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.

4 0

3 years ago

Which shows the quotient of g and 7?

egoroff_w [7]

The answer is d because quotient means the outcome of a division between two numbers. So therefore it has to be a division equation, which is d.

4 0

3 years ago

Please help frl this time!

Over [174]

Answer:

The answer is D.

Step-by-step explanation:

All the numbers starting from 1 to infinity are known as natural numbers. Answer D is not a number but all the other answers are.

4 0

2 years ago

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