Answer: (3a + 1) (a + 3)
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of factorization.
It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.
<u>Solve:</u>
Given = 3a² + 10a + 3
<em>STEP ONE: separate 3a² into two terms</em>
3a
a
<em>STEP TWO: separate 3 into two terms</em>
3
1
<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>
3a 1
a 3
When cross multiply, 3a × 3 + 1 × a = 10a
<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>
3a ⇒ 1
a ⇒ 3
(3a + 1) (a + 3)
Hope this helps!! :)
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Perimeter of rectangle = 2( length +width)
given: Perimeter=60 ft and width=20 ft
plugging these values in the formula,
60=2(20+ length)
dividing both sides by 2
30=20+length
length =30-20=10
length is 10 feet
width is 20 feet
Area of rectangle is given by:
Area = l*w
Area = 10 *20 = 200 square feet
Answer : Area of rectangle is 200 square feet.
Answer:
72 is the least common multiple
<span>Cost of maple syrup = $6.00 a Gallon
Cost of corn syrup = 0.80 cents a Gallon
Cost of the syrup mixture = $2.36 a Gallon
There is mixture of 50 Gallons
Lets maple syrup be x gallons, so corn syrup be 50-x gallons
Hence,
6*x + 0.80(50-x) = 2.36*50
6x + 40 - 0.8x = 118
5.2x = 78
=> x = 78/5.2 => x = 15
So Maple will be syrup be 15 gallons.
Corn syrup will be 35 gallons.</span>
