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Papessa [141]
2 years ago
15

If SYSTEM is coded as '131625', and KARMA is coded as '94854' then MARKET is coded as _____? (A) 845926 (B) 548926 (C) 629845 (D

) 548629
Mathematics
1 answer:
MArishka [77]2 years ago
5 0

Answer:

B. 548926

Step-by-step explanation:

Given

SYSTEM => '131625', and KARMA => '94854'

Required

MARKET is coded as?

To solve this, we simply map out each letter to the given characters;

This is done as follows:

S-> 1

Y-> 3

S-> 1

T-> 6

E -> 2

M-> 5

K-> 9

A-> 4

R-> 8

M-> 5

A -> 4

Remove repetitions

S-> 1

Y-> 3

T-> 6

E -> 2

M-> 5

K-> 9

R-> 8

A -> 4

Now, we can code MARKET using the same system

M-> 5

A -> 4

R-> 8

K-> 9

E -> 2

T-> 6

MARKET => 548926

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Drag each expression to show whether it is equivalent to (5⋅9x)+(5⋅1), 45x+15, or 15(3x−1).
JulijaS [17]

Part A: Option e: 5(9 x+1)

           Option f: 45 x+5

Part B: Option c: 15(3 x+1)

           Option d: (5 \cdot 9 x)+(5 \cdot 3)

Part C: Option a: (5 \cdot 9 x)-(5 \cdot 3)

           Option b: 45 x-15

Explanation:

Part A: The equation is (5 \cdot 9 x)+(5 \cdot 1)

Simplifying, we have,

45x+5

Taking the term 5 common out, we have,

5(9 x+1)

Thus, the above two expressions are equivalent to the equation (5 \cdot 9 x)+(5 \cdot 1).

Hence, Option e and Option f are the correct answers.

Part B: The equation is 45 x+15

Taking the term 15 common out, we have,

15(3 x+1)

Also, the equation can be rewritten as,

(5 \cdot 9 x)+(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 45 x+15

Hence, Option c and Option d are the correct answers.

Part C: The equation is 15(3 x-1)

Multiplying, we have,

45 x-15

The above expression can be rewritten as,

(5 \cdot 9 x)-(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 15(3 x-1)

Hence, Option a and Option b are the correct answers.

3 0
2 years ago
The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.
Andru [333]
It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.
7 0
2 years ago
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549 vehicles on 9 acres
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2 years ago
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Twin​ brothers, Billy and​ Bobby, can mow their​ grandparent's lawn together in 53 minutes. Billy could mow the lawn by himself
podryga [215]
5353 minutes = 89.22 hours
Maybe the figures should be 53 and 20??

Let's let Billy = A
The formula to use for work problems is
Time = (A*B) / (A+B)

53 = ( (A +20)* A) / (A +20 + A) )
53 = ( A^2 + 20A ) / (2A + 20)
A^2 + 20A -106A -1060
A^2 -86A -1060
A = 96.935
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3 0
2 years ago
The following table represents a sample of sale prices, in thousands of dollars, and number of
djverab [1.8K]

Correct question

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home     : 126 | 103 | 82 | 75 | 82 | 40 | 20

A.) state the linear regression function that estimates the number of new homes available at a specific price.

B.) state the correlation Coefficient of the data, and explain what it means in the context of the problem

Answer:

Y = -0.79X + 249.86

R = -0.9543

Step-by-step explanation:

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home     : 126 | 103 | 82 | 75 | 82 | 40 | 20

Calculate the Linear regression equation :

Using the linear regression calculator :

The linear regression equation is :

Y = -0.79X + 249.86

The correlation Coefficient 'R' measures the strength of statistical relationship between the relative movement of two variables. The The value of R is -0.9543 in the question above.

This is a strong negative correlation, which means that high sales price of homes scores correlates with low number of new homes  scores (and vice versa). Homes with high sales price have fewer number of new homes.

7 0
2 years ago
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