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3 years ago

Solve the system of equations by elimination. 2x+8y=10 -4x-9y=-13 x = y =

1 answer:

8 0

So use cancelation
multiply first equation by 2
2x+8y=10
times 2
4x+16y=20
now add

4x+16y=20
-4x-9y=-13 +
0x+7y=7
7y=7
divide by 7
y=1

subsittue

2x+8y=10
2x+8(1)=10
2x+8=10
subtract 8 from both sides
2x=2
divide by 2
x=1

x=1
y=1

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Sally used 30 cubes to build a rectangular prism that was 5 cubes long, 3 cubes wide, and 2 cubes high. She decided to take apar

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3 years ago

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statuscvo [17]

The shape with a rotational symmetry would remain the same when rotated

The shape with the smallest angle of rotational symmetry of 180 degrees is shape D

<h3>How to determine the shape?</h3>

To do this, we simply examine each of the options

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The shape has 4 equal sides.

So, the smallest angle of rotational symmetry is:

Angle = 360/4

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brainly.com/question/12214455

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2 years ago

Youssef can either way from his home to his workplace or ride his bicycle. he walks at a pace of 1 block per min, but he can tra

alex41 [277]

Youssef lives 15 blocks away from his work

Solution:

Given that Youssef can either way from his home to his workplace or ride his bicycle

Let "x" be number of blocks away from work Youssef works

Case 1: walking

He walks at a pace of 1 block per min

Therefore,

1 block = 1 minute

Thus to cross "x" blocks he takes "x" minutes

Case 2: Bicycle

He can travel 1 block in 20 sec on his bicycle

We know that,

To convert seconds to minute, divide the time value by 60

$\rightarrow 20 seconds = \frac{20}{60} minutes = \frac{1}{3} minutes$

Thus he takes 1/3 minutes for 1 block

So to cross "x" blocks he will take $\frac{x}{3}$ minutes

Given that it takes youssef 10 min longer to walk to work than to ride his bike

This means difference between time taken to cross "x" blocks by walking and ride by bicycle is 10 minutes

$\rightarrow x - \frac{x}{3} = 10\\\\\rightarrow \frac{3x - x}{3} = 10\\\\\rightarrow \frac{2x}{3} = 10\\\\\rightarrow x = \frac{30}{2}\\\\\rightarrow x = 15$

Thus he lives 15 blocks away from his work

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3 years ago