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Arlecino [84]
3 years ago
14

Question: −2 1/2 +(− 1/4 ​ )

Mathematics
2 answers:
svet-max [94.6K]3 years ago
5 0

- 2 \frac{1}{2}  + ( -  \frac{1}{4} )  \\  \\  =  - 2 \frac{1}{2} -  \frac{1}{4}   \\  \\  =  - 2 \frac{3}{4}

.... Hope this will help....

drek231 [11]3 years ago
5 0

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine them.

Exact Form:  − 11 /4

Decimal Form:  − 2.75

Mixed Number Form:  − 2  3/4

You might be interested in
The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?
Law Incorporation [45]
Call those two angles  x  and  y, where  x  is the larger one.

If they are complementary, then their sum equals  90°:

x + y = 90°      (i)


Also, the ratio between  x  and  y  is  3 : 2, so

  x           3
——  =  ——
  y           2


Product of the extremes = product of the means:

2x = 3y

2x – 3y = 0        (ii)


Now, just solve this system of equations:

  x  +  y = 90°         (i)
2x – 3y =   0          (ii)


Solve it with elimination. Since you want to know the value of the larger angle, which is  x, then eliminate the variable  y  by doing the following:

Multiply the equation  (i)  by  3,

3x + 3y = 270°        (iii)
2x – 3y =     0          (ii)


then add both equations, so you cancel out the variable  y:

3x + 2x + 3y – 3y = 270° + 0

3x + 2x = 270°

5x = 270°

         270°
x  =  ———
           5

x = 54°    <———  this is the measure of the larger angle.


I hope this helps. =)


Tags:  <em>system of linear equations elimination method solve complementary angles algebra geometry</em>

3 0
3 years ago
You come from a large, dysfunctional family. You learn of this year’s upcoming reunion, and dread the very thought of being arou
fiasKO [112]

Answer:

Explained below.

Step-by-step explanation:

The data provided is for the number of times each family member verbally assaults another person throughout the first 24 hours.

Use Minitab to compute the descriptive statistics.

Go to Stat → Basic Statistics → Display Basic Statistics

A dialog box will open.

Select the variable.

Select 'Statistics'.  

Another dialog box will open.

Select the statistics required.

Press OK.

Select "Graphs'.

Select Histogram.

Press OK

The output is attached below.

(1)

The mean of the data is, Mean = 10.

(2)

The median of the data is, Median = 8.50.

(3)

The mode of the data is, Mode = 5.

(4)

The inequality statement for the mean, median and mode is:

Mean > Median > Mode

A distribution is known as to be skewed to the right, or positively skewed, when maximum of the data are collected on the left of the histogram of the distribution.

Also if the Mean > Median > Mode then the distribution is skewed to the right.

For a skewed distribution the best of central tendency is the median.

So, the measure of central tendency that is most appropriate for this dataset is, Median = 8.50.

(5)

The range of the data set is:

Range = Maximum - Minimum

          = 19 - 4

          = 15

Thus, the range is 15.  

(6)

The population of interest is the number of times the family members verbally assaults another person throughout the first 24 hours.

(7-10)

Consider the Minitab output.

The standard deviation of the data set is, SD = 5.60.  

4 0
3 years ago
Anyone willing to help? Question 2 only
Lady_Fox [76]

Answer:

Step-by-step explanation:

Hello,

(a) Peter cycle at an average speed of x km/h

it means that he is doing x km in 1 hour

so to do 40 km he needs 40/x hour

(b) it means that he was doing x-5 km/h

so it took 40/(x-5) hour

(c) 1 hour 20 minutes correspond to 1+20/60=1+1/3=4/3 hour as 1 hour is 60 minutes

so we can write

40/(x-5)=40/x+4/3

3*40x=3*40(x-5)+4x(x-5) \ \ \ \text{multiply by 3x(x-5) both sides}\\ 120x =120x-600+4x^2-20x\\4x^2-20x-600 = 0\ \ \ \text{divide by 4} \\ x^2-5x-150=0

(d)

x^2-5x-150=0\\ x^2+10x-15x-150=0\\ x(x+10)-15(x+10)=0\\ (x-15)(x+10)=0\\\\ x = 15 \ \ or \ \ x=-10

the speed is positive so we take the positive solution which is 15

the speed is 15 km/h

hope this helps

do not hesitate if you need more information

7 0
4 years ago
1 point
romanna [79]

Answer:

Y=50x + 200

Step-by-step explanation:

For every month, which is represented by X, the overall price, represented by y, goes up by 50 so we must multiply 50 by the number of months on the plan, X. We also have to factor in the one-time cost of the phone plan itself, which is 200 and ALSO does not go up with every month, so we add 200 to the equation of 50x, giving us 50x + 200, all we have to do from here is show what this equation is doing, which is giving us the answer to Y (the overall price of the plan), and we finish with Y=50x + 200

3 0
3 years ago
How do i solve the linear system -14x+15y=15 21x-20y=-10 using elimination
valina [46]
Solve the following system using elimination:
{15 y - 14 x = 15 | (equation 1)
{21 x - 20 y = -10 | (equation 2)

Swap equation 1 with equation 2:
{21 x - 20 y = -10 | (equation 1)
{-(14 x) + 15 y = 15 | (equation 2)

Add 2/3 × (equation 1) to equation 2:
{21 x - 20 y = -10 | (equation 1)
{0 x+(5 y)/3 = 25/3 | (equation 2)

Multiply equation 2 by 3/5:
{21 x - 20 y = -10 | (equation 1)
{0 x+y = 5 | (equation 2)

Add 20 × (equation 2) to equation 1:
{21 x+0 y = 90 | (equation 1)
{0 x+y = 5 | (equation 2)

Divide equation 1 by 21:
{x+0 y = 30/7 | (equation 1)
{0 x+y = 5 | (equation 2)

Collect results:

Answer:  {x = 30/7, y = 5
4 0
3 years ago
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