Short answer: 375 grams
Remark
You only need to set up a direct proportion
Givens
flour for 12 cakes = 150 grams
Number of cakes initially = 12
Amount of flouer for 30 cakes = x
Number of cakes = 30
Proportion
amount flour for 12 cakes / 12 cakes = x / 30
Sub and solve
150 grams / 12 cakes = x / 30 cakes Cross multiply
150 * 30 = 12 *x Multiply the left side.
4500 = 12 x Divide both sides by 12
4500/12 = x
375 grams for 30 cakes. <<<<< Answer
Answer:
The answer is 16.
Step-by-step explanation:
The answer is b. There is a proof, but it is easily got by proving the other cases wrong.
x ≠ - 4, 3
the denominator of the fraction cannot equal zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the values that x cannot be
solve x² + x - 12 = 0
(x + 4)(x - 3) = 0
equate each factor to zero abd solve for x
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
restrictions on x are : x ≠ - 4, 3
Answer:
7 $5 bills, 32 nickels
Step-by-step explanation:
Ok, so to solve this, we need to make two separate equations. If we say that x is the number of nickels, and y is the number of 5 dollar bills, adding up to $36.60, we can make the equations 0.05x + 5y = 36.60, and x + y = 39. Using substitution, we can say 0.05x + 5(39-x) = 36.60. This simplifies to 195-4.95x = 36.6. We can then say 158.4 = 4.95x, and x = 32. This means we have 32 nickels. As there are 39 total coins and bills, that means there are 7 $5 bills, and 32 nickels.
