Answer:
x=-6
y=30
Step-by-step explanation:
-5x =2x+42
x=-6
y=2(-6)+42
=30.
Answer:
Step-by-step explanation:
<u>80 g rock displaces water:</u>
- 75 ml - 30 ml = 45 ml = 45 cm³
<u>Density = mass / volume:</u>
- d = 80 g / 45 cm³
- d = 1.78 g/cm³ (rounded)
Answer:
x = .87, or when approximated to a fraction, 27/31
y = -3.67, or when approximated to a fraction, -1287/350
Step-by-step explanation:
Lets start by rewriting out our equations
2x + 7y = -24
18x + y = 12
Lets solve for a y value; the second equation is easiest, as the y value has no coefficient (the number that is multiplied times a variable). To do this, lets move the 18x to the other side. Now our two equations look like:
2x + 7y = -24
y = -18x + 12
Next, lets plus the second equation into the first equation in regards to y.
2x + 7(-18x + 12) = -24
Now, lets solve!
2x -126x + 84 = -24
Then, combine your terms!
-124x = -108
Divide by (-124)!
x = -108/-124
x = 27/31
Now that we know x, lets plug this back in to the first equation to find y!
2(27/31) + 7y = -24
1.74 + 7y = -24
7y = -25.74
y = -3.67, or when approximated to a fraction, -1287/350
567 = 500+60+7
4*567 = 4*(500+60*7)
4*567 = 4*500 + 4*60 + 4*7 ... see note below
4*567 = 2000 + 240 + 28
4*567 = 2268
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note: multiply the outer term 4 by each term inside the parenthesis to use the distributive property. The general distributive property is a*(b+c) = a*b+a*c. This can be extended to a*(b+c+d) = a*b+a*c+a*d. You can have as many terms as you like inside the parenthesis.
