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xxMikexx [17]
3 years ago
7

2m·4b−3a·2n−0.2b·5m+n·5a−5bm+8an

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

2bm + 7an

Step-by-step explanation:

Multiply.

8bm - 6an - bm + 5an - 5bm + 8an

Combined like terms:

8bm - <em>6an</em> - bm + <em>5an</em> - 5bm + <em>8an</em>

= 2bm + 7an

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marrisa got an 85% on her math quiz. she had 34 questions correct .how many questions were on the quiz
xeze [42]

Answer:

40

Step-by-step explanation

34 divided by 85 times 100 equals 40

plz mark me as brainliest :)

6 0
3 years ago
Read 2 more answers
Help with this question, please!!
olga2289 [7]

Answer: D

Step-by-step explanation:

You need a calculator for this cause the numbers are really large. I used a fx-9860GII Casio calculator. I put the equations on the graph mode. And then I got the x➡️0 for both equations.

I got x=0, y=5000 for the first equation

x=0, y=5200 for the new one.

You can see the y is (5200-5000)=200 more than the old equation. As the x is 0 for both that means the new one moved 200 up for the new one. It goes up cause its positive number .

I put the pictures so you can understand what I'm saying.

8 0
3 years ago
Oil prices are projected to increase by 100% by next June. A quart of oil currently costs $2.45. What is the projected cost of a
lisov135 [29]

Answer:

4.9

Step-by-step explanation:

100% of 2.45 is 2.45.

We add 2.45 + 2.45 which is <u>4.9. </u>

Can I get brainliest?

8 0
3 years ago
Circle theorem <br> This is a very easy question but i just can't seem to be able to answer it
xxMikexx [17]

The measure of <FCD is 77 degrees

<h3>Circle geometry</h3>

From the given diagram, we have the following:

m<FCD + 90 + m<F = 180 degrees

Given the following parameters

m<BEO = 13 degrees = m<F

Substitute into the formula:

m<FCD + 90 +13 = 180 degrees

m<FCD = 180 - 103

m<FCD = 77 degrees

Hence the measure of <FCD is 77 degrees

Learn more on circle geometry here; brainly.com/question/24375372

5 0
2 years ago
A 11 inch by 8 inch piece of cardboard squares cut out of the corners and is folded up to make up an open-top-box. If the volume
Arada [10]
<h3>Answer:  b. either 2.5 inches or about .716 inches</h3>

=====================================================

Work Shown:

I have attached two images below. The first shows figures 1 through 4. The second image shows figure 5.

Start with figure 1. Work your way left to right, top to bottom til you get to figure 4. This is the basic process to turn a flat piece of cardboard into a 3D folded box.

The dashed lines in figure 1 are x inches long.

Figure 2 is the result of cutting out the dashed lines you see in figure 1.

When you fold along the dashed lines in figure 2, you'll end up with something similar to figure 3.

Figure 4 is the completed open-top-box. In other words, this box does not have a lid.

The green portions in figures 3 and 4 indicate where the flaps used to be in reference to figure 2.

-------------------

Since those dashed lines in figure 1 were x inches long, this means that the distance from A to B is 11-x-x = 11-2x inches long.

This makes segment BD to be 8-2x inches long. We are subtracting off 2 copies of x each time for each dimension.

------------------

length = AB = 11-2x

width = BD = 8-2x

Since we want the length to be positive, this means 11-2x > 0 which solves to x < 5.5

Since we want the width to be positive, this means 8-2x > 0 which solves to x < 4

Overall, we must make x < 4 to make both inequalities 11-2x > 0 and 8-2x > 0 to be true at the same time.

Furthermore, x is some length itself, so it cannot be negative either. Therefore x > 0 or 0 < x

Combine 0 < x and x < 4 to get 0 < x < 4

The restriction 0 < x < 4 will be used later.

------------------

For now, let's compute the volume.

Volume = Length*Width*Height

Volume = (AB)*(BD)*x

Volume = (11-2x)*(8-2x)*x

Volume = (88-22x-16x+4x^2)*x

Volume = (88-38x+4x^2)*x

Volume = 88x-38x^2+4x^3

This is the algebraic way of representing the volume in terms of the cut length x

We want this volume to be 45 cubic inches. We set  88x-38x^2+4x^3 equal to 45 and solve for x

88x-38x^2+4x^3 = 45

4x^3-38x^2+88x-45 = 0

At this point we try to factor by grouping or we turn to a calculator. Cubics are often very difficult to solve by hand, so I recommend using a calculator (unless you can quickly spot how to factor by grouping, but I don't see a quick way of doing that). Note: based on the answer choices that aren't whole numbers (assuming choice C is a non-answer), this heavily implies we do not have rational roots, and therefore factoring over the rationals will be impossible. In other words, the answer choices tell us to immediately use a graphing calculator to find the roots.

Using geogebra (see figure 5), I find the three approximate roots to be

x = 0.716 (shown as point A)

x = 2.5 (point B)

x = 6.284 (point C)

Recall that earlier we made 0 < x < 4. The first two roots satisfy this inequality, but x = 6.284 is outside this range. So we ignore it. It looks like your teacher put 6.284 as a trick answer in choice A.

5 0
3 years ago
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