If 200g of fat is used for 8 cakes, how much is used for 3 cakes?

2 answers:

6 0

Well, 8 cakes use 200g, so you first divide by eight. You will then have how many grams of fat is used in 1 cake. (25g of fat in 1 cake) You want to know how many is in 3 cakes, so multiply by 3. (75g of fat in 3 cakes) There's your answer.

inessss [21]4 years ago

4 0

A proportion is good for solving this. You have 200g for 8 cakes, so how many (x) for 3? The proportion looks like this: 200/8. = x/3. Cross multiply 200·3 and 8·x. You get 600=8x. Divide by 8 to get x alone and you have x=75 grams for 3 cakes.

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Find the slope and y-intercept of the line that is perpendicular to y = -x-1 and passes through the point (5,7).

Brums [2.3K]

So we have y=-x-1 this is the same as y=-1(x+1) so it has a slope of -1 this means any line perpendicular will have a slope of 1. now we use this with the point and point slope formula.
recall point slope formula is y-y1=m(x-x1) where (x1,y1) is a point and m is the slope so we find
y-7=1(x-5) we can simplify this into y intercept form by solving for y
so
y=x-5+7
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3 years ago

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KATRIN_1 [288]

Answer: Choice A. $(-\infty, \infty)$

This is the same as saying the set of all real numbers.

There are no restrictions to put on the domain, so there are no values to avoid. This is because there are gaps, jumps, or holes in the graph. It's one continuous single curve.

This curve stretches forever to the left and right. As it goes left, it moves up (rises to the left). As it moves right, it goes downhill (it falls to the right). Saying "rises to the left and falls to the right" is an informal way to describe the end behavior. The actual specific end behavior doesn't matter. What matters is both left and right sides go on forever.

A domain of the set of all real numbers means we can plug in any real number for x, and get some output for y, which is part of the range.

One way we can describe the set of all real numbers in terms of an inequality is to write $-\infty < x < \infty$ meaning that x is between negative and positive infinity, ie x is anything you want. The inequality $-\infty < x < \infty$ converts to the interval notation $(-\infty, \infty)$ . Interval notation is a compact way of writing compound inequalities.