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2 years ago

How bad is the heavy traffic? You can walk 15

Mathematics

2 answers:

Butoxors [25]2 years ago

6 0

Answer:

Average rate of car: x+3

Walking rate: x

The equation is

10/15 = x/x+3

x = 6

Average rate of car: 9 mph

Walking rate: 6 mph

Step-by-step explanation:

mash [69]2 years ago

4 0

Answer:

Average rate of car: 9 mph

Walking rate: 6 mph

Step-by-step explanation:

You might be interested in

Find five consecutive integers such that: "the sum of the first and 4 times the third is equal to 60 less than 3 times the sum o

Monica [59]

Consecutive integers are integers that come one after another in order. For example, 2, 3, and 4 are all consecutive integers, as well as 100, 101, and 102. In general, if we have some integer n, the consecutive integers following it will be n + 1, n + 2, n + 3, etc. Here, we have five. If we

Call the first integer n,
Then the second integer will be n + 1,
The third will be n + 2,
The fourth will be n + 3,
And the fifth will be n + 4.

Now, let's break down the equation in English. We'll use #1, #2, #3, #4, and #5 as stand-ins for the five integers just so we can get things set up, then we'll replace them with the expressions we came up with in the first part. Starting from the beginning of the statement, let's translate words to symbols:

"The sum of the first and 4 times the third" → #1 + 4 × #3
"is equal to" → = (maybe obvious, but still!)
"60 less than 3 times the sum of the second, fourth, and fifth" → 3 × (#2 + #4 + #5) - 60

Putting that all together, we get the equation

#1 + 4 × #3 = 3 × (#2 + #4 + #5) - 60.

Replacing our stand-ins for the expressions we came up with, it becomes

n + 4(n + 2) = 3[(n + 1) + (n + 3) + (n + 4)] - 60

We can now start to simplify our equation to find n (the first integer) and the rest will follow easily from that. I'll start by focusing on the left side. We can distribute and combine like terms like so:

n + 4(n+2) = n + 4n + 8 = 5n + 8

Dealing with the right, we can get rid of some redundant parentheses and carry out the same process:

3[(n + 1) + (n + 3) + (n + 4)] - 60 = 3(n + 1 + n + 3 + n + 4) - 60

= 3(3n + 8) - 60 = 9n + 24 - 60 = 9n - 36

Our simplified equation now becomes

5n + 8 = 9n - 36.

Subtracting 5n from either side:

8 = 4n - 36

Adding 36 to either side:

44 = 4n

And dividing either side by 4:

11 = n.

We now know that our first integer is 11, which means that our 5 consecutive integers are 11, 12, 13, 14, and 15.

7 0

3 years ago

Jasmine created this spinner to predict whether a randomly selected student in her school will be traveling during the upcoming

777dan777 [17]

Answer:

The number of students Jasmine surveyed indicated they would be traveling during the holiday break is 9.

Step-by-step explanation:

The spinner created by Jasmine, to predict whether a randomly selected student in her school will be traveling during the upcoming holiday break, has 8 equal sections labeled:

{yes, yes, no, no, no, no, no, no}

So, there are two sections labeled yes and six labelled as no.

Compute the probability of a yes as follows:

$P(\text{yes})=\frac{2}{8}=0.25$

Jasmine selected n = 36 students in her gym class.

If a student in her school will be traveling during the upcoming holiday break is independent of the other students.

Let the random variable X be defined as the number f students that will be traveling during the upcoming holiday break.

The random variable X follows a Binomial distribution with parameters n = 36 and p = 0.25.

Compute the expected value of X as follows:

$E(X)=np\\=36\times 0.25\\=9$

Thus, the number of students Jasmine surveyed indicated they would be traveling during the holiday break is 9.

8 0

2 years ago

Read 2 more answers

Can someone plz do the answer

sashaice [31]

3/4 =9/12 7/9=21/27

3 0

2 years ago

HELP ASAP!!!

Tju [1.3M]

Answer:

C. 46, D. 32

Step-by-step explanation:

Each term is obtained by adding 4 to a multiple of 7.

Subtract 4 from each choice:

A. 32

B. 20

C. 42

D. 28

Only 42 and 28 are multiples of 7, so the answer is:

C. 46, D. 32

7 0

3 years ago

Read 2 more answers

A company sells widgets. The amount of profit, y, made by the company, is related to

tiny-mole [99]

Answer:

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Step-by-step explanation:

The amount of profit y made by the company from selling each widget at x price is modeled by the equation:

$y=-x^2+72x-458$

Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:

$\displaystyle x=-\frac{b}{2a}$

In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:

$\displaystyle x=-\frac{72}{2(-1)}=36$

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

5 0

2 years ago