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Flura [38]
2 years ago
10

If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, what is the

average of x, y, and z in terms of m?
A) m+6
B) m+7
C) 2m+14
D) 3m+21
Mathematics
2 answers:
Gnesinka [82]2 years ago
8 0

Answer:

C

Step-by-step explanation:

If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18,

x=(m+9)/2

y=(2m+15)/2

z=(3m+18)/2

the average of x, y, and z

=(x+y+z)/3

=(m+9+2m+15+3m+18)/3

=(6m+42)/3

=2m+14

ans is C

kow [346]2 years ago
8 0

Answer: C). 2m+14

Step-by-step explanation:

\left[\begin{array}{ccc}x=(m+9)/2\\y=(2m+15)/2\\z=(3m+18)/2\end{array}\right]

The sequence above would be the sequence of x,y and z. So them we would divide all x,y and z and divide them by 3 it's self. Then we do the following:

\boxed{m*(x,y,z)}

Then after we multiple all x,y and z, we then get 42. We then do (42+6m) ÷ 3...

\boxed{\boxed{Answer: \bf2m+14}}}

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1/2 x 2/4 x 3/6 x 4/8 x 5/10 x 6/12 simplified
Talja [164]

Answer: 3

Step-by-step explanation: Because, 1/2=2/4=3/6=4/8=5/10=6/12 are all the same. You can test is out by simply factoring out the biggest factor on both sides. For example, 2/4 can be simplified to 1/2, because 2/4=(2/2)/(4/2) you can divide both sides by two. Hope this helps, <3!

8 0
3 years ago
The 20% tip for a $60 meal is?
BARSIC [14]

Answer:

$12

Step-by-step explanation:

60.00 meal

x 20percent tip

you convert the 20 percent to .20

so 60

x   .20

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

12.00

5 0
3 years ago
Read 2 more answers
There are 45 animals at the pet store. 12% are dogs, 24% are cats, 36% are fish, and 28% are other animals. Find the number of a
vivado [14]

Step-by-step explanation:

Dogs: 12% of 45= 5.4

Cats: 24% of 45= 10.8

Fish: 36% of 45= 16.2

Other: 28% of 45= 12.6

8 0
3 years ago
Not working for me :::<br>need help<br><br>-3 &lt; 3 x -5 &lt; 4
gladu [14]
-3 < 3 x -5 < 4\\ 2
7 0
2 years ago
Jack has a rectangular patio with a length that is one foot less than twice its width. His neighbor Ron's patio has the same wid
swat32

Answer:

difference in area = 16 ft²

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

Step-by-step explanation:

Jacks rectangular patio

width = a

length = 2a - 1

area = lw

where

l = length

w = width

area = 120 ft²

a(2a - 1)

2a² - a - 120 = 0

(a - 8) (2a + 15)

a = 8 or -15/2

Ron's rectangular patio

width = a

length = a + 5

area = lw

area = 104 ft²

a (a + 5) = 104

a² + 5a -104 = 0

(a + 8)  (a - 13)

a = -8 or 13

How many square feet longer is jack patio longer than Ron's patio is the difference in their area. Therefore,

120 - 104 = 16 ft²

The value 8 or 13 can be used for a since the width a have to be the same.

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

6 0
2 years ago
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