Answer:
<em>Well, 375 is a composite number.
</em>
<em>Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3)
</em>
<em>The exponents in the prime factorization are 1 and 3.</em>
<em>Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375.
</em>
<em>Factor pairs: 375 = 1 x 375, 3 x 125, 5 x 75, or 15 x 25. </em><em>Good Luck!</em>
Answer: ( x - 1 ) ( x + 4 ) = 0.
Step-by-step explanation:
Let's see 1. To make this equal to zero you write x - 1 where you substitute 1 in x.
Again let's see -4. To make it equal to zero, you write x + 4 where you substitute -4 in x.
So, this results in ( x - 1 ) ( x + 4 ) = 0
If Karen works 1 hour, she prepares 2 kg of dough.
If Karen works 2 hours, she prepares 2 kg + 2 kg of dough.
Maybe you can see where this is going.
If Karen works 3 hours, she prepares 2 kg + 2 kg + 2 kg of dough.
If Karen works h hours, she prepares 2 kg + 2 kg + ... + 2 kg of dough, where the number of instances of 2 kg is equal to h.
Early in your math career, you learned that repeated addition can be represented by multiplication. That is, when Karen works 3 hours, she prepares 3*(2 kg) of dough. It is not that big of a stretch to see that when Karen works h hours, she will prepare h*(2 kg) of dough.
Karen's output = h*(2 kg) . . . . . . an equation for finding the amount of dough
You are asked to solve this when h=5.
Karen's output = 5*(2 kg)
Karen's output = 10 kg
If she works 5 hours, Karen can prepare 10 kg of dough.
7.75% of 20
.0775 (20) = 1.55....its not A
7.75% of 25
.0775(25) = 1.94....not B
7.75% of 10
.0775(10) = 0.775 (BINGO...here it is)
7.75% of 18
.0775(18) = 1.40..not D
