Ask question

Ask question

All categories

2 years ago

7

A train travels 15 miles per hour faster than a car. If the train covers 100 miles in the same time the car covers 75 miles, wha

t is the speed of each of them?

2 answers:

Pachacha [2.7K]2 years ago

8 0

Attached the solution and work.

Assoli18 [71]2 years ago

5 0

The train is going 60 mph and the train is going 45 mph

You might be interested in

If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

5 0

2 years ago

Read 2 more answers

BRAINLIEST BRAINLIEST!!! <br> EASY MATH! Do with explanation!!

Anuta_ua [19.1K]

Answer:

<em>Answer is </em><em>given below with explanations</em><em>.</em><em>,</em>

Step-by-step explanation:

$1)formula \: for \: linear \: equation \: is \: \\ ax + by + c = 0 \\ 2) \: solution \: of \: the \: equation \: y = 9x - 3 \\ (2,15) \: is \: the \: solution \: \\ on \: substitutuing \: the \: points \\ 15 = 9(2) - 3 \\ 15 = 18 - 3 \\ 15 = 15 \\ hence \: proved\\ 3) \: given \:( k,7) \: is \: a \: solution\\ \: of \: y = - 4x + 1 \\ on \: substitutuing \: the \: points \\ 7 = - 4k + 1 \\ 4k = - 7 + 1 \\ 4k = - 6 \\ k = \frac{ - 6}{4} \\ k = \frac{ - 2}{3}$

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

3 0

2 years ago

If the sum of six consecutive even integers is 306, what is the smallest of the six integers

Neko [114]

306/6 is 51 is you add one to one side and take away the other the six numbers become: 46, 48, 50, 52, 54, 56 as you added one to one side substituting the other you took away from, therefore the smallest would be 46.

4 0

2 years ago

Avery napped for 110 minutes. Natalie napped for 190 minutes.

galben [10]

Answer:

A.

Step-by-step explanation:

If Chrustina said that and if 110 and 70 don't add up to 190 then she is wrong

6 0

3 years ago

Read 2 more answers

If f(x) = 7x^2 - 3x +1 and g(x) = 3x - 2, find the following by matching.

Cloud [144]

f(x) = 7x² - 3x + 1

g(x) = 3x - 2

1. g(0) This means that x is 0, so you can plug in 0 for x in the equation:

g(x) = 3x - 2

g(0) = 3(0) - 2

g(0) = -2

2. g(1) x is 1

g(x) = 3x - 2

g(1) = 3(1) - 2

g(1) = 3 - 2

g(1) = 1

3. f(1) x is 1

f(x) = 7x²- 3x + 1

f(1) = 7(1)² - 3(1) + 1

f(1) = 7 - 3 + 1

f(1) = 5

4. f(x) = 7x²- 3x + 1

f(-2) = 7(-2)²- 3(-2) + 1

f(-2) = 7(4) + 6 + 1

f(-2) = 28 + 7

f(-2) = 35

4 0

3 years ago