All categories

3 years ago

How bad is the heavy traffic? You can walk 15

Mathematics

2 answers:

Butoxors [25]3 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]3 years ago

4 0

Answer:

Average rate of car: 9 mph

Walking rate: 6 mph

Step-by-step explanation:

You might be interested in

If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are:

Minimum ( $\cos \theta = 0$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0$

Maximum ( $\cos \theta = 1$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1$

With the help of a graphing tool we get the family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

7 0

2 years ago

The rodriguez family dined at a restaurant. Their bill came up to $119, but they also have to pay a 9% tax and they plan to leav

ladessa [460]

Answer:

The amount is $155.89

Step-by-step explanation:

To find the cost of the meal, find the tax and tip. You can find each by multiplying the amount of the meal by the percentages.

$119 * 9% = 10.71

$119 * 22% = 26.18

Now we can add all three together.

119 + 10.71 + 26.18 = 155.89

6 0

3 years ago

Read 2 more answers

Landon and Keira are preparing refreshments for a party. To make fruit punch, they will mix 2 gallons of grape juice with 1 cup

VikaD [51]

2 gallons is equal to 256 oz and a cup is equal to 8 oz so your total is 270 fl oz.

8 0

3 years ago

What number has exactly 6 factors

RoseWind [281]

The factors of 12 are 1, 2, 3, 4, 6, and 12 .

The factors of 32 are 1, 2, 4, 8, 16, and 32 .

4 0

3 years ago

Read 2 more answers

Which of the following best describes an irrational number?

Furkat [3]

Answer:

Option D is correct.

D- A number that cannot be expressed as a fraction, , where p and q are integers

Step-by-step explanation:

Irrational number:

An irrational number can not be expressed as a fraction or ratio of integers, like $\frac{p}{q}$ where p and q are integers

And also it can not be expressed as terminating decimal or repeating decimal

Example of the irrational number is given below.

$\sqrt{8}= 2.82842$

$\pi = 3.14285..$

$\sqrt{3}= 2.82842$

Therefore option D (A number that cannot be expressed as a fraction, , where p and q are integers) is correct .

8 0

3 years ago