3+4x=15
4x=15-3
4x=12
x=12/4
x=3
The check is:
<span>If x=3 then, </span>
3+ (4 X 3)=15
<span>3+12=15</span>
So first we factor
9-t^2=difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
3^2-t^2=(3-t)(3+t)
t^2+t-12
factor by finding what 2 number add to get 1 and multiply to get -12
the numbers are -3 and 4
(t-3)(t+4)
[(3-t)(3+t)]/[(t-3)(t+4)] we can't factor out any further
if it was t^2-9 then we could go further but since it isn't this is the factored form
(<u><em>if</em></u> it was t^-9 then the answer would be (t+3)/(t+4))
Consider the suggested option:
1) if in 20 gr. of 50% solution given, then pure salt in this mix is 0.5*20=10 gr., and pure water is 0.5*20=10 gr.
2) after Maya added 5 gr. pure salt is 10+5=15 gr. Total mass of mix is 15(pure salt)+10(pure water)=25 gr.
3) new solution is 15/25=0.6 or 60%.
Answer: 25 gr. of 60% salt solution.
Answer:
32
Step-by-step explanation:
As per what is given
- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)
- equals 100, the equation formed equals 100
Form an equation;
4(x - 7) = 100
Solve using inverse operations;
4(x - 7) = 100
/4 /4
x - 7 = 25
+7 +7
x = 32
Answer:
Mean is 17
Median is 10.5
Mode is 2
Range is 37
Step-by-step explanation:
<u>Mean is the average: 2 + 2 + 6 + 15 + 38 + 39 = 102 / 6 = 17 MEAN</u>
<u />
<u>Median is the middle: 2, 2, 6, 15, 38, 39</u>
Between 6 and 15 -> 15 - 6 = 9 / 2 = 4.5
6 + 4.5 = 10.5
Median is 10.5
<u>Mode is most common: </u><u>2, 2</u><u>, 6, 15, 38, 39</u>
<u />
Mode is 2
<u>Range is the difference between the highest and the lowest number: 39 - 2</u>
37
Range is 37
