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attashe74 [19]
3 years ago
9

Justine answered 116 questions correctly on a 200−question test. Answer correctly into the boxes to show the amount as a fractio

n in simplest form, decimal, and percent.
Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0
Put the 116 on top of 200 and simplify. You will need to simplify by 4 which will get you 29 over 50. 
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A system of linear equations is graphed. which ordered pair is the best estimate for the solution to the system?
OLga [1]

Answer:

The answer that gives the best estimate is (1,1)

Step-by-step explanation:

i) As can be seen on of the lines intercepts the y axis at (0,-1). So the y

 intercept or c_{1} = -1. Therefore the equation for this line can be written as

 y = m_{1} x + c_{1}    ⇒    y = m_{1} x - 1 . It can also be seen from this graph that the

 line passes through the point (2 , 2). Substituting these values for x and y  

 respectively we get  2 = 2m_{1} - 1    ∴ m_{1} = \frac{3}{2}.  The equation of the first line

 can be written as y = \frac{3}{2} x - 1   ⇒ 2y - 3x = -2

ii) As can be seen on the other line the intercept on the y axis is at (0,2). So

  the y  intercept or c_{2} = 2. Therefore the equation for this line can be  

  written  as  y = m_{2}x + c_{2}    ⇒    y = m_{2} x + 2 . It can also be seen from this  

   graph that  the  line passes through the point (1 , -1). Substituting these

   values for x and  y   respectively we get  1 = 1m_{2} + 2    ∴ m_{2}  = -1 .  The

   equation of the second line  can be written as y = - x + 2   or x + y = 2

iii) Solving the two equations of the two lines respectively as found in i) and

  ii)  we get y = 0.8. We multiply equation in ii) by 3 to get 3x + 3y = 6 and  

  when we add this to equation in i) we get 5y = 4 which means that y = 0.8.

  If we substitute this value in ii) we get 0.8 + x = 2 , therefore x = 1.2.

iv) Therefore we get the solution of the two lines, which is the intersection

    of the two lines as (1.2, 0.8). So the answer that gives the best estimate

    is (1,1)

6 0
3 years ago
helpppppp pleaseeeee
wolverine [178]

Answer:

length is 17

width is 14

Step-by-step explanation:

4 0
3 years ago
What is the solution? y = 3x - 5 <br> y = 1\3*+3
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

y = 3x - 5

y = 1/3x + 3

3x - 5 = 1/3x + 3....multiply everything by 3 to get rid of the fraction

9x - 15 = x + 9

9x - x = 9 + 15

8x = 24

x = 24/8

x = 3

y = 3x - 5

y = 3(3) - 5

y = 9 - 5

y = 4

solution is : x = 3 and y = 4...or (3,4) <==

3 0
3 years ago
Round 9.42 to one decimal place
klasskru [66]
The answer would be 9
6 0
3 years ago
Read 2 more answers
1st question: Reuben received 80 dollars. Write a signed number to represent this change.
lesya692 [45]

Answer:

1) +80

2) -1520

Step-by-step explanation:

Positive Signed numbers are used in real world situations to indicate the increase. Examples include; increase in weight, deposit of money into an account, increase in income, profit, height above sea level, etc. They are all represented by positive signed numbers.

Whereas, negative signed numbers show decrease. Examples include; loss of weight, withdrawal of money from an account, loans, liabilities, losses, temperature below zero degrees, height below sea level.

1) We are told that Reuben received 80 dollars. Thus, it means he received an increase in the amount of money he already had. Thus, the signed number will be +80.

2) We are told that A car corporation produced 1520 fewer cars this month than last.

Thus, the signed number will be negative since there is a decrease in number of cars.

Thus, signed number = -1520

7 0
3 years ago
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