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Simora [160]
3 years ago
11

Round 1.983 to the nearest hundredth

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

1.98

Step-by-step explanation:

Find the number in the hundredth place 8 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

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PLZ HELP PLZ PLZ PLZ
Temka [501]

Answer:

The top option is false.

Step-by-step explanation:

Both segments have a <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] of ⅔. It just that their ratios have unique qualities:

\frac{2}{3} = \frac{4}{6}

Greatest Common Factor: 2

___ ___

<em>BC</em><em> </em>is at a 4⁄6 slope, and <em>AB</em><em> </em>is at a ⅔ slope. Although their quantities are unique, they have the exact same value.

I am joyous to assist you anytime.

3 0
3 years ago
Calculate the income needed based on the following budgeted expenses.
Lynna [10]
Hope this helped you :)
5 0
3 years ago
PLEASE HELP
katovenus [111]

<u>Answer:</u>

$593.26

<u>Step-by-step explanation:</u>

We know that the price of the laptop is $2500 and each year its resale value decreases by 25%. It means that 100 - 25 = 75% of the value is retained every year for the resale.

So, the resale value for 1st year = \frac{75}{100} *2500 = $1875

for 2nd year =  \frac{75}{100} *1875 = $1406.25

for 3rd year =  \frac{75}{100} *1406.25 = $1054.7

for 4th year =  \frac{75}{100} *1054.7 = $791.01

for 5th year =  \frac{75}{100} *791.01 = $593.25

Or we can use the following formula to find its resale value after 5 years:

2500*(0.75)^5 = $593.26

4 0
3 years ago
What is equivalent to 8c+6-3c-2
IgorC [24]
8c + 6-3c -2

8c -3c + 6-2 = 5c + 4

Brainliest please!
8 0
3 years ago
Read 2 more answers
A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours
qaws [65]

Answer:

  • The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.
  • Below are all the steps explained in detail.
  • The graph is attached.

Explanation:

<u />

<u>1. Name the variables:</u>

  • x: number of smaller lifts
  • y: number of larger lifts

<u></u>

<u>2.  Build a table to determine the number of hours each lift requires from each department:</u>

<u></u>

Number of hours

                                        small lift    large lift   total per department

Welding department            1x             3y                x + 3y

Packaging department        2x             1y                2x + y

<u></u>

<u>3. Constraints</u>

  • 150 hours available in welding:         x + 3y ≤ 150
  • 120 hours available in packaging:   2x + y ≤ 120
  • The variables cannot be negative:    x ≥ 0, and y ≥ 0

Then you must:

  • draw the lines and regions defined by each constraint
  • determine the region of solution that satisfies all the constraints
  • determine the vertices of the solution region
  • test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

<u></u>

<u>4. Graph</u>

See the graph attached.

Here is how you draw it.

  • x + 3y ≤ 150
  • draw the line x + 3y = 150 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • 2x + y ≤ 120
  • draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

  • the solution region is the intersection of the regions described above.

  • take the points that are vertices inside the solutoin region.

<u>5. Test the profit function for each vertex</u>

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

  • (0,0)
  • (0,50)
  • (42,36)
  • (60,0)

The profits with the vertices are:

  • P(0,0) = 0
  • P(0,50) = 25(0) + 90(50) = 4,500
  • P(42,36) = 25(42) + 90(36) = 4,290
  • P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0
2 years ago
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