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anastassius [24]

3 years ago

13

III

1 answer:

icang [17]3 years ago

3 0

Answer:

120km/h

600km in 5 hours.

Step-by-step explanation:

1000 meters is equal to 1 kilometer. 1 meter is equal to .001 kilometer.

You can set up an equation like this to solve for the car's rate in kilometers.

$\frac{1 km}{1000 m} = \frac{x km}{35m}$ or $\frac{1000 m}{1000 km} = \frac{x m}{35km}$ .

Now crossmultiply either fraction to solve for x.

$\frac{1 km}{1000 m} = \frac{x km}{35m}\\\frac{1 km}{1000 m}*35 = \frac{x km}{35m}*35\\\frac{35 km}{1000 m} = xkm$

The car is going at .035km/sec. Now we need to multiply this to get kilometers per hour. There are 60 seconds in a minute and there are 60 minutes in a hour.

$\frac{35}{1000} * 60 * 60$

The car travels at 120km per hour.

Since we now know the rate in kilometers per hour. We can multiply the rate by 5 since the question asks how many kilometers the car will travel in 5 hours.

120 * 5 = 600

The car will travel 600km in 5 hours.

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Factorise mx+cx+my+cy<br> With steps!!!<br> x=algebra x

avanturin [10]

Step-by-step explanation:

Hey there!

While factorising you remember to make it take common in most of the expression.

Here;

=mx+cx+my+cy

Take common 'x' in "mx+cx" and 'y' in my + cy.

= x(m+c) + y(m+c)

Now, "(m+c)" common again.

= (m+c) (x+y)

Therefore the factorized form of the expression in (m+c)(x+y).

<u>Hope it helps</u><u>.</u><u>.</u><u>.</u>

6 0

3 years ago

Read 2 more answers

How do u factor..<br>x^2 + 10× - 2400 = 0

Lunna [17]

Answer:

${ \bf{ {x}^{2} + 10x - 2400 = 0}} \\ { \bf{ \red{it \: has \: no \: rational \: factors}}} \\ x = - 54.2 \: \: and \: \: 44.2$

3 0

3 years ago

Read 2 more answers

What is the missing length.

nasty-shy [4]

Answer:

$KS = 12$

Step-by-step explanation:

Given that ∆KLM ~ ∆RSK, $\frac{KL}{KR} = \frac{KM}{KS}$ (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

$\frac{65}{13} = \frac{60}{KS}$

Cross multiply

$65*KS = 60*13$

$65*KS = 780$

$\frac{65*KS}{65} = \frac{780}{65}$

$KS = 12$

4 0

3 years ago

I don't know how to solve it.

Nataly [62]

Step-by-step explanation:

Take the first derivative

$\frac{d}{dx} ( {x}^{3} - 3x)$

$3 {x}^{2} - 3$

Set the derivative equal to 0.

$3 {x}^{2} - 3 = 0$

$3 {x}^{2} = 3$

${x}^{2} = 1$

$x = 1$

or

$x = - 1$

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).

For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.

Since we are going to Positve to negative slope, we have a local max at x=-1

Plug in -1 for x into the original function

$( - 1) {}^{3} - 3( - 1) = 2$

So the local max is 2 and occurs at x=-1,

For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.

Since we are going to decreasing to increasing, we have minimum at x=1,

Plug in 1 for x into original function

${1}^{3} - 3(1)$

$1 - 3 = - 2$

So the local min occurs at -2, at x=1

8 0

2 years ago

John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only 8 miles per hour. d Tomorrow bo

skad [1K]

Answer:

6 miles

Step-by-step explanation:

Given

John's speed = 10 mph
Brian's speed = 8 mph
Time 3 hours

Solution

<u>The difference in distance covered:</u>

3*(10 - 8) = 6 miles

3 0

3 years ago