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3 years ago

8

the riding lawn mower that alejandro has on his farm has the top speed of 8 km/h. What is a lawn mowers top speed in meters per

hour?

2 answers:

Dimas [21]3 years ago

8 0

Since 1 km = 1000 m, the lawnmowers top speed would be 8000 m/h.

Elis [28]3 years ago

4 0

(8km/h)(1000m/km)=8000m/h

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2 years ago

Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

Anastaziya [24]

<em>The right question is:</em>

$\frac{1}{2}x - 3y = 9$

$5x + y = 28$

Answer:

<em></em> $x = 6$ <em> </em>

$y = -2$ <em></em>

<em></em>

Step-by-step explanation:

Given

$\frac{1}{2}x - 3y = 9$

$5x + y = 28$

Required

Solve for x and y

Make y the subject of formula in the second equation

$y = 28 - 5x$

Substitute $y = 28 - 5x$ in the first equation

$\frac{1}{2}x - 3(28 - 5x) = 9$

Open the bracket

$\frac{1}{2}x - 3*28 - 3*- 5x = 9$

$\frac{1}{2}x - 84 + 15x = 9$

Collect Like Terms

$\frac{1}{2}x + 15x = 9+ 84$

$\frac{x}{2} + 15x = 9+ 84$

$\frac{x+30x}{2} = 93$

$\frac{31x}{2} = 93$

Multiply both sides by 2

$2 * \frac{31x}{2} = 93 * 2$

$31x = 186$

Divide both sides by 31

$\frac{31x}{31} = \frac{186}{31}$

$x = \frac{186}{31}$

$x = 6$

Recall that $y = 28 - 5x$

So;

$y = 28 - 5 * 6$

$y = 28 - 30$

$y = -2$

Hence;

<em></em> $x = 6$ <em> and </em> $y = -2$ <em></em>

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3 years ago

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Step-by-step explanation:

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3 years ago

Hector has a toy train that is 68 centimeters long. He puts a 23 centimeters caboose at the end. How long is the train with the

Nikitich [7]

Answer: 91 centimeters

Step-by-step explanation:

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3 years ago

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Solve 6x^2 - 42 = 0 for the exact values of x

GREYUIT [131]

Answer:

The values of x are

$x=-\sqrt{7} , x=\sqrt{7}$

Step-by-step explanation:

we have

$6x^{2}-42=0$

Solve for x

Adds 42 both sides

$6x^{2}-42+42=0+42$

$6x^{2}=42$

Divide by 6 both sides

$6x^{2}/6=42/6$

simplify

$x^2=7$

square root both sides

$x=\pm\sqrt{7}$

therefore

The values of x are

$x=-\sqrt{7} , x=\sqrt{7}$

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3 years ago