Question

brian spent $30.00 at a hardware store that sells nails for $0.50 per pound and screws for $1.50 per pound.
let n represent the number of pounds of nails purchased and c represent the number of pounds of screws purchased.
which one of the following could not be true about the values of n and c?

• n = 3 and c = 19
• n = 12 and c = 16
• n = 24 and c = 12

1.
maria spent $15.00 at a concession stand that sells popcorn for $2.00 each and sodas for $3.00 each.
let p represent the number of popcorns purchased and d represent the number of sodas purchased.
which one of the following could not be true about the values of p and d?

• p = 3 and d = 3
• p = 6 and d = 1
• p = 9 and d = 0

2.
objective:a-ced.4 rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. for example, rearrange ohm’s law v=ir to highlight resistance.
the area a of a triangle with base b and height h can be determined using the formula $a = \frac{1}{2}bh$.
1.
solve for h in terms of a and b.

Explanation:

Step1: Start with the formula

We have the formula for the area of a triangle \( A = \frac{1}{2}bh \). We want to solve for \( h \), so we need to isolate \( h \) on one side of the equation.

Step2: Multiply both sides by 2

To eliminate the fraction, we multiply both sides of the equation by 2. This gives us \( 2A = bh \).

Step3: Divide both sides by \( b \)

Now, to solve for \( h \), we divide both sides of the equation \( 2A = bh \) by \( b \) (assuming \( b
eq 0 \)). So we get \( h=\frac{2A}{b} \).

Answer:

\( h = \frac{2A}{b} \)