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Sunny_sXe [5.5K]

3 years ago

7

How do I do the step by step to find the solution for this problem -4y+6>22

2 answers:

gtnhenbr [62]3 years ago

6 0

$-4y+6 > 22\ \ \ \ /-6\\\\-4y+6-6 > 22-6\\\\-4y < 16\ \ \ \ /:(-4) < 0\\\\y < 16:(-4)\\\\y < -4\\\\\\y\in(-\infty;-4)$

Masteriza [31]3 years ago

3 0

Well to isolate the variable you should subtract 6 from both sides resulting in -4y > 16
Now just divide by -4, however, keep in mind that when you divide or multiply by a negative number when there is a sign, always switch the sign, so just divide by -4 and get y < 4

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Mandy is selling pancakes and waffles at her diner. On Monday she sold a total of 300 pancakes and waffles. If she charges $3 pe

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Answer:

Mandy sold 250 pancakes and 50 waffles.

Step-by-step explanation:

From the information given, you can say that the sum of pancakes and waffles is equal to 300:

x+y=300

Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:

3x+y=800

You have the following equations:

x+y=300 (1)

3x+y=800 (2), where:

x is the number of pancakes she sold

y is the number of waffles she sold

Now, you can solve for x in (1):

x=300-y (3)

Then, you can replace (3) in (2):

3(300-y)+y=800

900-3y+y=800

900-800=2y

100=2y

y=100/2

y=50

Finally, you can replace the value of y in (3) to find x:

x=300-50

x=250

According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.

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3 years ago

Which statement best explains the relationship between lines FG and HJ?

murzikaleks [220]

Answer:

(D)

Step-by-step explanation:

From the figure, we have

The coordinates of the point F are: (-4,1).

The coordinates of the point G are: (0,-2)

The coordinates of the point J are: (0,4) and

The coordinates of the point H are: (-4,-2).

Now, the slope of the line FG is :

$S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$S=\frac{-2-1}{0+4}$

$S=\frac{-3}{4}$

And, the slope of the line HJ is:

$S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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$S=\frac{3}{2}$

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$\frac{-3}{4}=\frac{2}{3}$

which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.

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