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2 years ago

Solve the simultaneous equations y=3x+2 and y=x+6

Mathematics

1 answer:

kogti [31]2 years ago

5 0

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

3x-x=6-2 (bring 2 to the other side by subtracting 2 as well as x)

2x=4

2x/2=4/2 (dividing 2 on both sides to get rid off 2 in 2x)

x=2.

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Step-by-step explanation:

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what power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent

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Answer:

The power for the volume of the cube is '3'.

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3 years ago

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2 years ago

Miquel created the table below to show how he uses the money he earns at work

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Complete Question with table is attached

Answer:

Miguel will save money of $90 if he earns $120.00

Step-by-step explanation:

The figure attached clearly shows the ratio of his earnings and savings. We have to find what would be the savings amount if he earn $120.00. So, first we have to calculate the percentage of ratio of his earnings and savings. As per the data given in the figure,

If he earns $10.00, he saves $7.50, calculate %amount he saves as below,

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Likewise, calculate for all given data. If he earns $50.00 then he saves $37.50

$\frac{\$ 37.50}{\$ 50.00} \times 100=0.75 \times 100=75 \%$

If he earns $150.00 and save $112.50,

$\frac{\$ 112.50}{\$ 150.00} \times 100=0.75 \times 100=75 \%$

So, from all above, it clearly tells that Miguel saves 75% of amount from his earnings. Now, given earnings as $120.00. By finding 75% of $120.00, we can find his savings in that amount. So,

$\frac{75}{100} \times \$ 120=0.75 \times 120=\$ 90$

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