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ankoles [38]
3 years ago
7

Highest common factor of 135 and 180

Mathematics
1 answer:
miskamm [114]3 years ago
5 0
<span>the highest common factor is forty-five</span>
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Which of the following is a correct name for a side of the given angle?
Zigmanuir [339]

Answer:

C. ED

Step-by-step explanation:

The center of the angle is the point E, so it would be written first.

5 0
2 years ago
Scores are 78,81,83, and 76 what must she earn on the fifth test to earn an average test score of 81
iogann1982 [59]
The average value of a data set is equal to the sum of each entry divided by the number of entries. In this case, we have 5 scores, so we can find set up the following equation where x is the fifth score:

\dfrac{78+81+83+76+x}{5} = 81

Now solve for x:

78 + 81 + 83 + 76 + x = 81(5)

318 + x = 405

x = 87

The fifth score must be 87.
6 0
2 years ago
Read 2 more answers
6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t
Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

1.x+0.y=0\\x=0

and

0.x+1.y=0\\y=0

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

1.x+0.y=0\\\x=0

and

0.x+1.y=0\\y=0

Vector form is

\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0
3 years ago
A bookstore owner is conducting market research to forecast sales for the coming year. The bookstore is open 360 days a year and
statuscvo [17]
156 dollars because 13 times 12 (months)
equals 156
4 0
2 years ago
64 = 4(p + 2) + 24 please solve step by step
Wittaler [7]

Answer:

8

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -16 = -16

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   6 .

     -16    +    1    =    -15

     -8    +    2    =    -6

     -4    +    4    =    0

     -2    +    8    =    6    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  8

                    p2 - 2p + 8p - 16

Step-4 : Add up the first 2 terms, pulling out like factors :

                   p • (p-2)

             Add up the last 2 terms, pulling out common factors :

                   8 • (p-2)

Step-5 : Add up the four terms of step 4 :

                   (p+8)  •  (p-2)

            Which is the desired factorization

3 0
3 years ago
Read 2 more answers
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