Answer:
Equivalent Fractions with the LCD
7/8 = 231/264
10/11 = 240/264
2/3 = 176/264
Step-by-step explanation:
Solution:
Rewriting input as fractions if necessary:
7/8, 10/11, 2/3
For the denominators (8, 11, 3) the least common multiple (LCM) is 264.
LCM(8, 11, 3)
Therefore, the least common denominator (LCD) is 264.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
7/8 = 7/8 × 33/33 = 231/264
10/11 = 10/11 × 24/24 = 240/264
2/3 = 2/3 × 88/88 = 176/264
Step-by-step explanation:
6 (x+5 )^2 +5(x+5)-4=0
let x+5= y
6y^2 + 5y - 4=0
6y^2 + 8y - 3y-4 =0
2y (3y+4) - 1 (3y+4)=0
(2y-1)(3y+4)=0
2y-1=0 or 3y+4=0
y=1/3 or -4/3
Recall that x+5=y
When y=1/3
x+5=1/3
x= -14/3
when y= -4/3
x+5=-4/3
x = -11/3
Answer:
1.3917
Step-by-step explanation:
logb 15 =
We know that log (ac) = log a + log c
logb 15 = logb (3*5)
= logb (3) + log b (5)
logb(3) = 0.5646 and logb(5) = 0.8271
= 0.5646 + 0.8271
1.3917
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the <span>1010</span>. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.<span>
1.35×<span>10^<span>5 is the answer. </span></span></span>