$3x+4y=12 \ \ |\ subtract\ 3x\ to\ both\ sides \\\\ 4y=-3x+12 \ \ | \ divide \ both \ sides\ by\ 4\\\\ y=-\frac{3}{4}x+3\\\\x=-4 \ \ \to \ \ y= -\frac{3}{4}x+3=-\frac{3}{4} \cdot (-4)+3=3+3=6\\\\x=8 \ \ \to \ \ y= -\frac{3}{4}x+3=-\frac{3}{4} \cdot8+3=-6+3=-3$

6 0

4 years ago

Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C

ruslelena [56]

Step-by-step explanation:

Model:

s = slices

x = pizzas ordered

s = .8(.45x) + .12(.55x)

Now plugin 20 for x and you will get the total number of slices.

s = .8(.45x) + .12(.55x)

s = .8(.45(20)) + .12(.55(20))

s = 204 slices

Note, we could make this model different and smaller but I chose this method because it demonstrates what is going on with the word problem

8 0

3 years ago

Mary is 21 years old. Her age is 9 years more than 3 times Henry's age. Which equation can be used to determine x, Henry's age i

luda_lava [24]

Answer:

3x + 9 = 21

Step-by-step explanation:

Let Henry's age be x

Mary's age = 9 + 3x

21 = 9 + 3x

Can also be written as 3x + 9 = 21

4 0

2 years ago

What is the volume of the cylinder below?

FrozenT [24]

Answer:b

Step-by-step explanation:9 multiply 8 multiply 6

3 0

3 years ago

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