-3√45 + 3√20 = -3√(9 · 5) + 3√(4 · 5) =
= -3√(3² · 5) + 3√(2² · 5) =
= -3 · 3√5 + 3 · 2√5 =
= -9√5 + 6√5 = -3√5 ← the end
Answer:
Improper fraction: 39/34
Proper fraction: 1 5/34
Decimal: 1.147 (rounded to the nearest thousandths).
Step-by-step explanation:
Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:
4 7/8 ÷ 4 1/4
First, change all fractions into improper fractions:
4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8
4 1/4 = (4 * 4)/4 + 1/4 = 16/4 + 1/4 = 17/4
Next, find common denominators. Note that what you do to the denominator, you must do the numerator:
(17/4) * (2/2) = (34/8)
39/8 ÷ 17/4
Solve. First, change the division sign into multiplication, and then flip the second fraction:
39/8 ÷ 17/4 = 39/8 x 4/17
Multiply straight across:
39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.
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Answer:
$113.81
Step-by-step explanation:
Find the cost for one book:
35.94 / 6 = 5.99
Multiply 5.99 with the number of books buying:
5.99 x 19 = 113.81
Answer:
(23/4, 17/4)
Step-by-step explanation:
The vector from A to B is ...
... V = B - A = (2-7, 5-4) = (-5, 1)
Point P that divides AB the way you want is 1/4 of that from A:
... P = A + (1/4)×V = (7, 4) + (-5/4, 1/4)
... P = (5 3/4, 4 1/4) = (23/4, 17/4)
X/15=4/16 def of similar triangle by AAA
x = 60/16=5/2