Solve the formula A = one-halfbh for h

Mathematics

1 answer:

garik1379 [7]2 years ago

8 0

Answer:

$\frac{2A}{b} = h$

Step-by-step explanation:

We start with the equation $A = \frac{1}{2} bh$ . First, we multiply both sides by $2$ .

$2A = bh$

Next, we divide both sides by $b$ to get our answer:

$\frac{2A}{b} = h$

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Angie and Brian are running a bakery. They are going to make three kinds of banana bread: regular, one with extra sugar, and one

dolphi86 [110]

Answer:

150 regular loaves

125 loaves with extra sugar

100 loaves with extra bananas.

Step-by-step explanation:

Let R represent loaves of regular bread, S represent loaves with extra sugar, and B represent loaves with extra bananas. If they have 1200 bananas, 1050 cups of sugar, and 1075 cups of flour available, the number of each type of bread that Angie and Brian can make are given by the following system of equations:

$3R+2S+5B=1,200\\3R+4S+1B=1,050\\2R+3S+4B=1,075$

Solving the linear system:

$3R+4S+1B-(3R+2S+5B)=1,050-1,200\\2S-4B=-150\\S=-75+2B\\\\3R+2*(-75+2B)+5B=1,200\\2R+3*(-75+2B)+4B=1,075\\3R+9B=1,350\\2R+10B=1,300\\\\3R+9B-1.5*(2R+10B)=1,350-(1.5*1,300)\\9B-15B=-600\\B=100\\2R+10*100=1,300\\R=150\\3*150+2S+5*100=1,200\\S=125$