X + y = 1.....multiply by -2
2x - 3y = -30
-----------------
-2x - 2y = -2 (result of multiplying by -2)
2x - 3y = -30
----------------add
-5y = -32
y = -32/-5
y = 32/5 or 6.4 <===
Step-by-step explanation:
We can prove this by using similar triangles. We know that angle ABE and ACD are SIMILAR(we know that by the sign in between them).Therefore, we also know that CDA and BEA are similar, and EAB and DAC are similar. Since all the angles are similar, we also know that the side lengths are equal in proportion. AB/AE is equal to AC/AD. When assigned values, that would create a proportion that is equal since the smaller triangle is similar to the bigger one. If you want to create a proof, break each statement into its own section.
Jones has 3/4 total fertilizer. He wants to use 1/8 each scoop to use all of the fertilizer.
We need to make these into proportions to understand the amount of each fraction easier. 1/8 = 0.125, and 3/4 = 0.750
To do this the quick way, divide 0.750 by 0.125
0.750/0.125 = 6.
He will have to use the measuring cup 6 times.
Hope this helps!
Erin took two test. First test saying that she has 70% risk of heart attack(which means 30% chance of not have). The second test saying she has 67% chance of not have a heart attack.
Then, the probability of Erin will not have attack would be: 30%*67%= 20.1% = 0.201