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julsineya [31]
3 years ago
5

Y = 12 2x -y = 4What is the solution of the system?​

Mathematics
2 answers:
Keith_Richards [23]3 years ago
6 0
2x-12=4
put the 12 in place of y since they equal each other
2x=16
add 12 to both sides
x=8
divide both sides by 2
kipiarov [429]3 years ago
5 0

Step-by-step explanation:

2x-12=4

  1. 4+12 is equal to 16
  2. 16÷2 is equal to 8

<h3>Check</h3>

2×8-12=4

16-12=4

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Watch help video<br> What is the greatest common factor of 35 and 45?
storchak [24]

Answer:

5

Step-by-step explanation:

35 = 5 x 7

45 = 3 x 3 x 5

You see that 5 is the greatest, and only, common factor.

Hope that helps!

6 0
3 years ago
Half-life of Po-210 is 140 days. If the initial mass of the sample is 5
Anna35 [415]

Answer:

0.625kg

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>

in order to solve so we can consider the half-life formula given by

\displaystyle f(t) = a {0.5}^{t/T}

where:

  • f(t) is the remaining quantity of a substance after time t has elapsed.
  • a is the initial quantity of this substance.
  • T is the half-life

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

\displaystyle f(420)=5\cdot{0.5}^{420/140}

reduce fraction:

\displaystyle f(420)=5\cdot{0.5}^{3}

By using calculator we acquire:

\displaystyle f(420)=0.625

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4 0
3 years ago
Rachel rides her bike due east at 9 miles per hour. Amos rides his bicycle due north at 12 miles per hour. If they left from the
Svetach [21]

They will be 15 miles apart after one hour if they left the same point at the same time.

<h3>How do we measure and calculate the distance in Geometry?</h3>

The distance between two points in geometry can be calculated by using the Pythagoras theorem.

Mathematically, the Pythagoras theorem can be expressed as:

\mathbf{d = \sqrt{x^2 +y^2}}

where;

  • x and y are opposite and adjacent sides respectively.

\mathbf{d = \sqrt{(9)^2 +(12)^2}}

\mathbf{d = \sqrt{81+144}}

\mathbf{d = \sqrt{225}}

d = 15 miles  

Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.

Learn more about calculating the distance between two points here:

brainly.com/question/7243416

#SPJ1

5 0
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