1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allisa [31]
1 year ago
11

What is the solution to -3x+5?

Mathematics
1 answer:
ziro4ka [17]1 year ago
7 0

Answer:

x = 5/3

Step-by-step explanation:

-3x+5

-5= -3x

-5/-3 = 5/3

You might be interested in
What number needs to be added to both sides of the equation to complete the square?
Doss [256]

Answer:

9/4

Step-by-step explanation:

(-3/2)^2=9/4

6 0
2 years ago
Convert Fraction to Percent<br> 5/8​
jeka94

Answer:

62.5

All you do is divide 5 by 8 and you get this .625 move the decimal over two spots to the right and you get 62.5%

8 0
3 years ago
8
ozzi
The answer is A. 6 and 10
3 0
2 years ago
The cost to store is $500. The markup rate is 12% What is the marking amount? $____ What is the selling price? $ ____
wel
$500 x 0.12 = $60

$500 x 0.88 = $440

<span>What is the marking amount? $60
What is the selling price? $440</span>
8 0
3 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
Other questions:
  • The mermaid one dont pay attention to the others
    11·1 answer
  • a furniture store sells 48 tables for every 60 chairs in a given week. what is the unit rate of tables to chairs? reduce the uni
    14·2 answers
  • Help me pleaseeee its ALGEBRA
    15·1 answer
  • what is the missing number? imput B;4,12,16,24,32,40. output A:8,16,20,_,_ rules a=b+4. SUPER URGENT !!!!!!!!!!
    12·1 answer
  • On New Years’s Eve, the temperate fell by 24 degrees in a span of 6 hours. By how many degrees did the temperature fall every ho
    15·1 answer
  • Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple
    14·1 answer
  • Will the boys ever have the same amount of money at the same time
    13·1 answer
  • I have an 88 in my math class, according to my teacher if I get a 75% on my final exam my grade will be 86. my final exam is wha
    8·2 answers
  • Write the equation of the line that passes through the points (-9,-4) and (-9,4).
    13·1 answer
  • Match each function to its corresponding sequence.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!