1) answer = 360
explanation =
-> 10% of 300 = 300*10
-> 10% of 300 = 30
-> 20% = 10% x 2
-> 20% = 30 x 2
-> 20% = 60
-> 300 yards ( distance they ran ) + 60 yards ( how much more distance Quadra ran ) = 360 yards
2) answer = Newton spends 10 minutes or 1/6 hours reading
explanation =
-> 25% = 1/4
-> 40*4= 10
-> 1 hrs = 60 min
-> 10 min x 6 = 60 min
-> 1/6 hrs = 10 min
3) answer = 30 fish
explanation =
-> 40% = 12
-> 10% = 3
-> 40*4=10 and 12*4=3
-> 10% + 40% = 50% so 12 + 3 = 15
-> 50% = 15 and 100% = 15 x 2
-> 100% = 30
4) answer = 30
explanation =
-> 1/4 is equal to 25 %
-> add up all the prrcentages ( 25% + 10% + 15% = 50% )
-> she have 50% of tej chocolates Which were in the tin she bought away and kept 15 chocolates to herself
-> 50% = 1/2
-> 50% x 2 = 100%
-> 15 x 2 = 30
<h3>
Answer:</h3>
C. 4(x-3)-x
<h3>
Step-by-step explanation:</h3>
All of the given expressions are equivalent to 3x+12 except selection C. Using that in your equation makes it be ...
... 3(x +1) +9 = 4(x -3) -x
... 3x +12 = 3x -12
... 12 = -12 . . . . . <em>false</em>
There is no value of x that will make this true, hence NO SOLUTION.
_____
<em>Comment on the other choices</em>
3x+12 = 3x+12 has an <em>infinite number of solutions</em>, as <u><em>any</em></u> value of x will make this true.
Answer:
Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.
Let's solve this by completing the square:
x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:
(x + 1)^2 + 7 ≤ 0
Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)
Then the solutions are x = -1 + i√7 and x = -1 - i√7
There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.
Answer:x is 1
Step-by-step explanation:
P(orange and then a purple) is 15/56.
P(two purples in a row) is 6/56.
<u>Step-by-step explanation:</u>
- A bag contains 3 purple and 5 orange jelly-beans.
- The total jelly-beans in the bag = 3 purple + 5 orange = 8 jelly-beans.
<u>Without replacement, find P(orange and then a purple) :</u>
P (orange) = No.of orange jelly-beans / total jelly-beans.
⇒ 5 / 8
P (purple) = No.of purple jelly-beans / remaining jelly-beans from the total
⇒ 3 / 7
P(orange and then a purple) = P (orange) × P (purple)
⇒ 5/8 × 3/7
⇒ 15/56
<u>Without replacement, find P(two purples in a row) :</u>
P (1st purple) = No.of purple jelly-beans / total jelly-beans.
⇒ 3 / 8
P (2nd purple) = remaining no.of purple jelly-beans / remaining jelly-beans from the total.
⇒ 2 / 7
P(two purples in a row) = P (1st purple) × P (2nd purple)
⇒ 3/8 × 2/7
⇒ 6/56
