Answer:
9/10
Step-by-step explanation:
one blue and 9 green = 10 marbles
P(green) = number of green / total
=9/10
If you think about it, the ratio of 5:2, is basically saying that for every 7 people you have, 5 will be children, and 2 will be adults, or 5/7 : 2/7. So you can set it up as a proportion. If you are looking for the number of children (5 for every 7), you could as 5/7 = x/63000. If you did cross-multiplication (5*63000 = 7*x), you would get that 7x = 315000. If you them divide both sides by 7 to get the variable by itself, you would get that x is equal to 45000. This means that out of the 63000 people in the park, 45000 of them are kids.
-5(r - 6) + 3(-8 + 8r) = -32
STEP 1: Simplify both sides of the equation.
<span><span><span><span><span><span>(<span>−5</span>)</span><span>(r)</span></span>+<span><span>(<span>−5</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(3)</span><span>(<span>8r</span>)</span></span></span>=<span>−32 </span></span>(Distribute)
<span><span><span><span><span><span>−<span>5r</span></span>+30</span>+</span>−24</span>+<span>24r</span></span>=<span>−32</span></span><span><span><span>(<span><span>−<span>5r</span></span>+<span>24r</span></span>)</span>+<span>(<span>30+<span>−24</span></span>)</span></span>=<span>−32 </span></span>(Combine Like Terms)
<span><span><span>19r</span>+6</span>=<span>−32</span></span><span><span><span>19r</span>+6</span>=<span>−32
</span></span>
STEP 2: Subtract 6 from both sides.
<span><span><span><span>19r</span>+6</span>−6</span>=<span><span>−32</span>−6</span></span><span><span>19r</span>=<span>−<span>38
STEP 3: Divide both sides by 19.
19r/19 = -38/19
r = -2
FINAL ANSWER: r = -2</span></span></span>
Yes, 5:4 is the simplified form of 25:16. 25 divided by 5 is 5 (the lowest possible number it can be made into). 16 divided by 4 is 4 (also the lowest possible number it can be made into).
Answer:
x = -12
Step-by-step explanation:
x - 6 = -18
x = -18 + 6
x = -12