First substitute the second equation into the first one:
-3x - 3(-5x - 17) = 3
Next distribute the parenthesis:
-3x + 15x + 51 = 3
Then combine like terms:
12x + 51 = 3
Now subtract 51 from each side:
12x = 48
Lastly to get x, divide each side by 12:
x = 4
Now put this into the second equation:
y = -5(4) - 17
Multiply:
y = -20 - 17
And subtract:
y = -37
The solution is (4,-37). Hope this helps!
14 * 45 = 630
The number that should be put in the box is 630
Hi, again!
First blank: multiplication property of equality
Both sides of the equation were multiplied by (1/2).
Second blank: m<E
Angle E is an inscribed angle intercepting arc FGD, so by the inscribed angle theorem, its measure is half the measure of the arc.
Third blank: m<G
Same explanation as the prior blank
Fourth blank: substitution property of equality
Since angle E is equal to half the measure of arc FGD, we can replace that term. Likewise with angle G.
F=2+b
12 years ago
f-12=2(b-12)
f=2+b
2+b-12=2(b-12)
b-10=2b-24
minus b both sides
-10=b-24
add24
14=b
14-12=2
2+2=4
freddy was 4 and brother was 2
they are now 16 and 14
Answer: Hello there!
initially Maria has 6 red marbles, 6 blue marbles, and 4 green marbles.
You know that in the first pick, Maria gets a green marble ( this means that now there are 3 green marbles left)
Now we want to know the probability that she gets a red marble on the second pick.
Now there are 6 + 6 + 3 = 15 marbles in the bag, and 6 of them are red ones. Then the probability of getting one red is the number of red ones divided by the total amount ( which is the ratio of red marbles to total marbles)
this is 6/15.
now you can see that there is no 6/15 in the options, so we need to see which one is equivalent.
if we took the option C, 2/5, and multiply both denominator and numerator by 3, we get (3*2)/(3*5) = 6/15, then 2/5 and 6/15 are equivalents.
Then the correct answer is C.
Step-by-step explanation: