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3 years ago

Measure the length of the paper clip to the nearest tenth of a centimeter.

Mathematics

2 answers:

Yuki888 [10]3 years ago

6 0

3 because it is a lot closer to 3 than 4. Plus it isn’t even close to the 1/2 centimeter mark.

Solnce55 [7]3 years ago

3 0

3 cm since the end is closer to the 3 than it is to 4

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Keri is making a doll clothes for a holiday craft show. The wholesale cost of the materials for one outfit is $9.38. If she sell

irinina [24]

Answer:

60%

Step-by-step explanation:

If I get you right, you're asking for the percentage gain to the nearest percentage, right?

Now to do this, we need to get the amount of profit she made. That's quite easy, we only need to subtract the cost price from the selling price. And that equals $15 - $9.38 that equals $5.62.

Now, we divide this value by the cost price and multiply by 100% to get the percentage gain.

I.e 5.62/9.38 × 100%.

That gives 59.9% , which equals 60% when approximated to the nearest percentage.

5 0

3 years ago

Kai and aaron ate 5/6 of pizza . explain how you can tell what fraction of the pizza is left

NeX [460]

Hi there!

Since 1 - 5/6 = 1/6, 1/6 of the pizza is left.

Hope this helps!

5 0

3 years ago

URGENT! (Grades close tomorrow and turning this in will boost my grade from a B to an A in College Algebra. I can't figure these

zvonat [6]

Answer:

24. see below for a drawing with axis intercepts labeled

30. the plane is parallel to the y-z plane. It is "x=4". The only axis intercept is (4, 0, 0).

Step-by-step explanation:

24. The axis intercepts are fairly easily found. You can do it a couple of ways.

<u>first way</u>

Set other variables to zero and divide by the coefficient of the variable of interest.

For 3x +5y +15z = 15, the x-intercept can be found by setting y and z to zero. This gives ...

3x = 15

so, dividing by 3 tells you the x-intercept is ...

x = 15/3 = 5

Likewise, the y- and z-intercepts are, respectively, ...

y = 15/5 = 3

z = 15/15 = 1

So, the points where the plane crosses the axes are ...

(5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . axes intercepts

<u>second way</u>

Divide by the constant on the right, and express all coefficients as denominators

Doing that gives ...

$\dfrac{3x+5y+15z}{15}=1\\\\\dfrac{x}{5}+\dfrac{y}{3}+\dfrac{z}{1}=1$

The denominators are the corresponding intercepts. (This is called the "intercept form" of the equation of the plane.)

From the above equation, we see the axis intercepts are ...

(5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . same as above

Actually, the math for these two methods is virtually identical. The second way does it "all at once", so can take fewer steps. Effectively, you're doing the math of the "first way" and expressing the result in the denominator.

Please note that when a variable is missing, there is no intercept for that axis. That is, the plane is parallel to that axis. (In problem 30, for example, the y- and z-variables are missing. The plane x=4 is parallel to the y- and z-axes (the y-z plane).)

_____

In the first attached drawing, the x-axis is red, the y-axis is green, and the z-axis is blue. The labeling of the points is difficult to see, but the axes are a different (lighter) color behind the plane than in front of it. This plane forms a triangle in the first octant (x, y, z > 0).

In the second attached drawing, the x=0 plane is blue; the y=0 plane is green, and the z=0 plane is red. The plane of the equation is yellow. This figure better shows the triangle in the first octant.

3-D graph paper (isometric graph paper) grids are available with a web search. Such might make it easier to draw the planes you need to draw. (See the third attachment for one example.)