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Flura [38]
3 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]3 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]3 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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Solve the system by substitution. <br> -5x+3y=2 <br> Y=2x
Volgvan

Answer:

2 is the required answer.

Step-by-step explanation:

<u>Solution:</u>

<u>Given</u><u>:</u>

-5x+3y=2..............(i)

Putting the value of y=2x in the equation (i); we get:

i.e -5x+3×2x=2

or, -5x+6x=2

or, x=2

i.e. x=2

y=2x=2×2=4

8 0
3 years ago
The area of a rectangular fountain is x2 + 9x + 20 square feet. A 3-foot walkway is built around the fountain. Find the dimensio
Leto [7]

Answer:

(x+11) by (x+10)

Step-by-step explanation:

We know that Area = Length x width

Given: Area = x²+9x+20

Lets sort this out first

Area = x²+5x + 4x + 20

Area = x(x+5) + 4(x+5)

Area = (x+5) (x+4)

Therefore, it is concluded that:

Length 'l' = (x+5) feet

Width 'w' = (x+4) feet

if a 3-foot walkway is built around the fountain, we'll add 3 feet on both sides

Therefore,

Outer Length = (x+5+3+3) = (x+11) feet

Outer Width = (x+4+3+3) = (x+10) feet

Answer:

The fountain is (x+5) by (x+4).  

dimensions of the outside border of the walkway are (x+11) by (x+10)

8 0
3 years ago
How do you solve the height?​
egoroff_w [7]

Answer:

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.

5 0
4 years ago
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!<br> WHAT IS M∠1?
TEA [102]

Answer:

angle 1=135°

Step-by-step explanation:

to find the angle of 1 you should know angle 2, what is angle 2?

angle 45° and angle 1 are symetrical so they have the same value.

now that we know that angle 2 is equal to 45°

then what is angle 1

if the whole line has an angle of 180° and angle 45°.

so the equation will be :

45+x=180

flip the equation to find x:

180-45=x

180-45=x\\135=x\\x=the angle 1 which we found in the given equation is 135

check if my answer is correct is :

135+45=180\\180=180

my equation is correct

8 0
3 years ago
Read 2 more answers
Subtract using the number line -3/5 - (-2/5) (picture provided)
lara31 [8.8K]

Answer:

<h2>-1/5</h2>

Step-by-step explanation:

Starting at -3/5 you need to subtract -2/5.

When you subtract a negative number, the sign flips and you add instead. Often, you are taught that two similar signs means add and two opposite signs mean minus.

<em>+ + = +</em>

<em>- - = -</em>

<em>+ - = -</em>

<em>- + = -</em>

<em />

This means -3/5 - -2/5 becomes -3/5 + 2/5.

Because you are adding, you move two lines to the right on the number line.

You end at -1/5.

5 0
3 years ago
Read 2 more answers
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