Answer:
Step-by-step explanation:
let the smallest number=x
largest number=y
y=2x
again x-1/2 y=20
or 2x-y=40
2x-2x=40
or 0=40
which is impossible.
∴ it has no solution.
factorise
a^2-4ab+5b^2-c^2+6bc
In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C
Answer:
B
Step-by-step explanation:
Interior angles of a triangle = 180°
3x°+3x+10°+4x-30°=180°
10x°-20°=180°
10x°=180°+20°
10x°= 200°
10x°/10=200°/10
x°=20°
Hence, the angle is [tex]x=20[/tex] degree.
What is the angle?
An angle can be defined as the figure formed by two rays meeting at a common end point.
Here given that,
As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.
[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]
Hence, the angle is [tex]x=20[/tex] degree.
To know more about the angle
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Cecil is replacing lightbulbs in the office where he works. When he started, he had x boxes of lightbulbs with 2 bulbs in each box. After replacing 16 lightbulbs, he has at least 12 bulbs left. Which inequality represents the number of boxes of lightbulbs Cecil started with? How many boxes of lightbulbs is that?
The inequality represents the number of boxes of lightbulbs that Cecil started with.
Cecil had boxes of lightbulbs when he started.
Answer:
If we add the Replaced, the Left, that would be 28 LB, 14 boxes.
Answer:
at most or at least
Step-by-step explanation:
Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=
Hey there! :)
Answer:
29/28.
Step-by-step explanation:
Starting with:
[tex]\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =[/tex]
Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:
[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =[/tex]
Add the fractions:
[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}[/tex]
Therefore, the fractions sum up to 29/28.
Answer:
1/4 + 2/7 + 1/2
Find a number that 4,7, and 2 have in common
List the multiples o 4,7, and 2
4,8,12,15,20,24,28,32,36,40
7,14,21,28,35,42,49,56,63,70
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40
4,7,and 2 all have 28 so 28 is the common denominator
1/4 = 1/4 x 7/7 = 7/28
you can multiply because 7/7 = 1 so you are just multiplying by 1
2/7 x 4/4 = 8/28
1/2 x 14/14= 14/28
7/28 + 8/28 + 14/28 = 29/28 or 1 1/28
Hope this helps
Step-by-step explanation:
C (SUMMER 2021) - 793033
KIN
Relations and Functions
Instruction Active
TRY IT Test Whether This Graph Is a Function
Drag the red vertical line to find the y-values:
Orange graph> when x 1, y =
Blue graph when x 1. y =
RETRY
1) Intro
web and Windows
a
A do
Answer:
Orange graph: -2
Blue graph: -2 or 2
Just did it on edge
ABCD is a parallelogram.
Given that,
DC = CE
prove that,
area of the ADE triangle is equal to the area of the parallelogram.
need explanation
plzz help!!
will give the brainliest!!
Answer:
Step-by-step explanation:
We khow that ABCD is a parallelogram so its area is the product of the base (DC) and the the height
Let H be the height of the paralellogram and A its area So A= DC*HADE is a triangle . Its area is the product of the height and the base(DE) over 2
We notice that the paralellogram and the triangle have both the same height Let S be the area of the triangle S= (DE*H)/2= DE/2 *H = DC *HSo the triangle and the parallelogram have the same area
25. On a farm, there are c cows and 15
sheep. There are 4 more sheep than
cows. Which equation represents the
situation?
A C= 15 +4
B C= 15-4
CC=4 - 15
D C = 4 x 15
Answer:b because if there is 4 more sheep than cows just subtract 4 and you get the number of cows
Step-by-step explanation:
Which equation is true if the perimeter of the rectangle is 60? A rectangle with a length of 3 x minus 2 and width of x + 5. x + 5 = 3 x minus 2 (x + 5) + (3 x minus 2) = 60 2 (x + 5) + 2 (3 x minus 2) = 60 2 (3 x minus 2) minus 2 (x + 5) = 60
Answer: 2 (x + 5) + 2 (3 x minus 2) = 60
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Length = 3 x minus 2
Width = x + 5.
Since:
Perimeter of a rectangle = 2 length +2 width
Replacing with the values given:
60 = 2 ( x+5)+ 2 (3x minus 2 )
So, the correct option is:
2 (x + 5) + 2 (3 x minus 2) = 60
Feel free to ask for more if needed or if you did not understand something.
The correct one is option C.
Good luck!!!
What is the probability of A given B.
Answer:
3/5
Step-by-step explanation:
There are 5 students who play soccer.
Of those 5, 3 students also play basketball.
p(A|B) = 3/5
What is the 1st term in the sequence of cube numbers?
Answer:
1
Step-by-step explanation:
The n th term of cube numbers is calculated as
[tex]a_{n}[/tex] = n³
To find the first term let n = 1, that is
a₁ = 1³ = 1
Answer:
1.
Step-by-step explanation:
1 is the first term in the square numbers, as it is in the sequence of cube numbers.
1^3 = 1 * 1 * 1 = 1.
Hope this helps!
A box with a volume of 16 $\text{cm}^3$ can hold 50 paperclips. How many paperclips could a box with a volume of 48 $\text{cm}^3$ hold?
Answer:
150 paperclips
Step-by-step explanation:
set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips
cross multiply so you get 16x = 2400
solve for x by dividing 2400 by 16
you should get x = 150
Help!! WILL GIVE BRAINLIEST!!! What is the range of possible sizes for side x? Please explain about the rule as well.....
Answer like this (fill in the blanks).
__< x <__
Answer:
0.2 < x < 11.8
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side, for it to form a triangle. So, we can set up 3 equations, x + 5.8 > 6, 5.8 + 6 > x, and x + 6 > 5.8. This solves out to x > 0.2, x < 11.8, and x > -0.2. We can disregard that last one, because a side can't be negative. Therefore, we know the possible range of values for x.
I hope I could be of help! Please give brainliest!
Arithmetic mean between 2 and 8
Answer:
5
Step-by-step explanation:
to find the mean you add the numbers together, and divide by the number of numbers you're using. So, we'd do 2+8, which is 10, and then 10/2, which is 5.
Answer:
5
ADD . NUMBERS TOGETHER
DIVIDE BY TWO
SO IN THIS CASE
8+2=10
10/2=5
Step-by-step explanation:
HOPE I HELPED!!!
CAN I GET BRAINLIEST ?(DESPERATELY TRYING TO LEVEL UP)
-ZYLYNN JADE
Michael is 6 feet tall and is standing on top of
a building, looking at a park in the distance.
The angle of depression is 53°. If the building
you are standing on is 100 feet tall, how far
away is the park? Round your answer to the
nearest tenth.
ft away from the
The park is
building.
Answer:
79.9 feet.
Step-by-step explanation:
If you draw out the problem, you can easily visualize it.
We are given the opposite side length and the angle, and we need to find the adjacent. So, we will use tangent (soh cah toa - tangent: opposite/adjacent).
tan(53) = (100 + 6) / x
tan(53) = 106 / x
x = 106 / (tan(53))
x = 106 / 1.327044822
x = 79.87672931
Round your answer to the nearest tenth!
So, the park is approximately 79.9 feet away!
Hope this helps!
Square
Move the active vertex to change the shape of the quadrilateral and
check all properties that apply.
Square
All sides congruent
Opposite sides congruent
All angles congruent
Opposite angles congruent
Diagonals congruent
OOOO
Diagonals bisect
Check
Answer shown above
Answer:
shown above
move active check
A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office? A. 0.4032 B. 0.6663 C. 0.3337 D. 0.88
Answer:
The correct option is;
C. 0.3337
Step-by-step explanation:
We note that for a binomial probability distribution, we have;
[tex]p(r\geq \gamma)=\sum_{\gamma = r}^{ n}\dbinom{n}{r}\cdot \left (p\right )^{\gamma }\cdot \left (1-p\right )^{n - \gamma}[/tex]
Which gives;
[tex]p(x \geq 90)=\sum_{r = 90}^{ 100}\dbinom{100}{90}\cdot \left (0.88\right )^{\gamma }\cdot \left (1-0.88\right )^{100 - \gamma}[/tex]
[tex]\dbinom{100}{90}\cdot \left (0.88\right )^{90 }\cdot \left (1-0.88\right )^{10} = 0.108033[/tex]
[tex]\dbinom{100}{91}\cdot \left (0.88\right )^{91 }\cdot \left (1-0.88\right )^{9} = 0.08706[/tex]
[tex]\dbinom{100}{92}\cdot \left (0.88\right )^{92 }\cdot \left (1-0.88\right )^{8} = 0.062456[/tex]
[tex]\dbinom{100}{93}\cdot \left (0.88\right )^{93 }\cdot \left (1-0.88\right )^{7} = 0.039399[/tex]
[tex]\dbinom{100}{94}\cdot \left (0.88\right )^{94 }\cdot \left (1-0.88\right )^{6} = 0.021516[/tex]
[tex]\dbinom{100}{95}\cdot \left (0.88\right )^{95 }\cdot \left (1-0.88\right )^{5} = 0.09965[/tex]
[tex]\dbinom{100}{96}\cdot \left (0.88\right )^{96 }\cdot \left (1-0.88\right )^{4} = 0.003806[/tex]
[tex]\dbinom{100}{97}\cdot \left (0.88\right )^{97 }\cdot \left (1-0.88\right )^{3} = 0.001151[/tex]
[tex]\dbinom{100}{98}\cdot \left (0.88\right )^{98 }\cdot \left (1-0.88\right )^{2} = 0.000258[/tex]
[tex]\dbinom{100}{99}\cdot \left (0.88\right )^{99 }\cdot \left (1-0.88\right ) = 0.0000383[/tex]
[tex]\dbinom{100}{100}\cdot \left (0.88\right )^{100 }\cdot \left (1-0.88\right )^{0} = 0.00000281[/tex]
P(r≥90) is therefore 0.1083 + 0.08706 + 0.062456 + 0.039399 + 0.021516 + 0.09965 + 0.003806 + 0.001151 + 0.000258 + 0.0000383 + 0.00000281 = 0.333685 ≈ 0.3337.
Tammy is testing the cellphone service in a certain area for a cellphone company. The signal during the test can be modeled by sin t+3 where t is the time in seconds. Focusing on the domain 0 < t < 3 π/2, at what time is the signal the strongest?
Answer:
4.71
Step-by-step explanation:
3* pi = 9.42
9.42/2 = 4.71
Please help answer! It’s due today!
Answer:
need thiss
Step-by-step explanation:
Which number has a repeating decimal form?
Answer:
Option D
Step-by-step explanation:
A. [tex]\sqrt{15}[/tex] = 3.87298
B. 11/25 = 0.44
C. 3/20 = 1.25
D. 2/6 = 0.333........
So, D had a repeating decimal form because it repeats the number 3.
Answer:
Step-by-step explanation:
D: 2/6. Note that 2/6 = 1/3 = 0.3333333.... (repeating decimal form)
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)? (3x + 2)(x 2 + 1) 3x 2 + 1 + 2 (3x + 2)2 + 1 3(x 2 + 1) + 2
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
To find (f circle g)(x), we substitute function g(x) for x in f(x) = 3x + 2:
(f circle g) (x) = 3(x^2 + 1) + 2, or
3x^2 + 3 + 2, or
(f circle g) (x) = 3x^2 + 5
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
Which of the following represents a rotation of △LMN, which has vertices L(−7,7), M(9,9), and N(5,−5), about the origin by 90°?
Answer:
L'(-7, -7), M'(-9, 9), and N'(5, 5)
Step-by-step explanation:
Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)
so L'(-7, -7), M'(-9, 9), and N'(5, 5)
The question was incomplete. Please check below the full content.
Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?
a) L(-7, -7) M(-9. -9) N(5, 5)
b) L(-7. -7) M(-9. 9) N(5, 5)
c) L(-7, -7) M(-9, 9) N(5, -5)
d) L (7, -7) M(9, 9) N(-5, 5)
The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are
L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.
Rotation of a point :
The rotation of a point (x,y) about the origin by 90° is (-y,x).Given vertices of ΔLMN are L(-7,7), M(9,9), and N(5, -5)Let the rotations of L, M, and N are L', M', and N' respectively.
The rotation of a point L(-7,7) about the origin by 90° is (-7,-7).The rotation of a point L(9,9) about the origin by 90° is (-9,9).The rotation of a point L(5,-5) about the origin by 90° is (5,-5).Hence L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices
L, M, and N of ΔLMN about the origin by 90°.
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Use the sample data and confidence level given below to complete parts (a) through (d).
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4144 patients treated with the drug, 124
developed the adverse reaction of nausea. Construct a 99% confidence interval fof the proportion of adverse reactions.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E-O
(Round to three decimal places as needed.)
c) Construct the confidence interval
(Round to three decimal places as needed)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
O A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true
value of the population proportion.
Answer:
Given that,
Sample size,
n
=
4369
Sample proportion,
^
p
=
185
4369
=
0.0423
a)
The sample proportion is a point estimate of the population proportion.
^
p
=
0.0423
b)
The margin of error is defined as:
M
E
=
Z
0.10
/
2
×
√
^
p
(
1
−
^
p
)
n
Excel function for the confidence coefficient:
=NORMINV(0.10/2,0,1)
M
E
=
1.645
×
√
0.0423
(
1
−
0.0423
)
4369
M
E
=
0.005
c)
The 90% confidence interval for the population proportion is defined as:
^
p
±
z
0.10
/
2
√
^
p
(
1
−
^
p
)
n
0.0423
±
1.645
√
0.0423
(
1
−
0.0423
)
4369
(
0.0373
,
0.0473
)
Solve and graph |-8x|<8 help me lol
Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
write all factors of 72
Answer:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.Los factores son 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
Show all work to solve 3x^2-5x-2=0
Answer:
The roots are {2, -1/3}
Step-by-step explanation:
The coefficients of this quadratic function are a = 3, b = -5 and c = -2.
Let's use the quadratic formula to find the roots of the given 3x^2-5x-2=0.
The discriminant is b^2 - 4(a)(c), or (-5)^2 - 4(3)(-2), or 25 + 24 = 49.
Thus, the roots are:
-(-5)±√49 5 ± 7
x = ---------------- = ------------ = 2 and -1/3
2(3) 6
A bakery was about to sell fresh baguettes, and people formed a line outside to wait. While waiting for the bread to bake, every space between two people in the line was filled by a new person who had joined the line. More time passed, and again each space between the people waiting was filled with a new person who joined the line. Finally, 85 fresh baguettes were brought out and one baguette was sold to each person. How many people were standing in the original line?
Answer:
The number of people standing in the original line is 22 people
Step-by-step explanation:
The information given are;
The number of baguettes that was shared by the people on the line = 85
The number of baguettes each person received = 1 each
Therefore;
The number of people that were finally on the line = 85
Let the number of people in the original line = X
Then each space between two people in X was filled by 1 new person of the first set of people who joined the line
Therefore;
The number of the first set of people who joined the line = The number of spaces between two count of people in X
Which gives;
The number of people who joined the line = X - 1
The new total number of people on the line = X + X - 1 = 2·X - 1
As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line
Therefore, the number of people in the second set = Number of people waiting - 1
Which gives;
The number of people in the second set = 2·X - 1 - 1 = 2·X - 2
The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3
The 85 baguettes is then able to go round (each) among the total number of people on the line
Therefore;
The total number of people on the line = The number of baguettes sheared
4·X - 3 = 85
4·X = 85 + 3 = 88
X = 88/4 = 22
Therefore;
The number of people standing in the original line = 22.
In a city, taxicab fare is .80 cents for the first 1/4 mile and .20 for additional 1/4 mile. How far can you travel for $5.00?
Answer:
5 1/2 MILES
Step-by-step explanation:
$5.00-$.80=$4.20
4.20/.20=21/4= 5 1/4+1/4= 5 2/4 OR 5 1/2 MILES
Hope this help!
What does it mean to make connections when comparing and contrasting? (10 points)
Answer:
When making connections using compare and contrast, you should look for hidden similarities and differences. Compare/contrast aims to show all the necessary information or details that makes a topic or an object similar of different. Therefore, you should not only state the obvious, but also cite.
Consider this population data set: 4, 6. 7. 11, 12, 18, 26, 23, 14, 31. 22, and 12. The values 11.31. 22. and 12 constitute a random sample drawn
from the data set.
The sample mean is more than the population mean by
A. 3.5
B. 15.5
C. 19
D. 110
Answer:
The answer is 3.5
Step-by-step explanation:
Two students use different methods to solve this multiplication problem: 1/2 • -4 4/5 Read each of their methods below and then enter numbers to correctly complete their work.
Answer:
-2 2/5
Step-by-step explanation:
Barbara's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*\frac{-24}{5}=\frac{-12}{5}=-2\frac{2}{5}\\[/tex]
Christopher's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*(-4+\frac{-4}{5})=\frac{1}{2}*-4+\frac{1}{2}*\frac{-4}{5}=-2+\frac{-2}{5}=-2\frac{2}{5}\\[/tex]