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ElenaW [278]
3 years ago
8

Solve the equation - 9x – 2y=-12 2x+5y=-11 X= Y=

Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:x=2, y=3

Step-by-step explanation:

solving this equation simultaneously

-9x - 2y=-12.............(1)

2x + 5y=-11.. ...........(2)

Using elimination method

Multiply equation 2 by 2 and equation 1 by 5

-45x -10y= -60...........(3)

4x + 10y=-22...............(4)

Subtracting equation 2 from 1

-41x + 0=-82

41x=82

x=82/41

X=2

To find y put x in equation 1

-9x - 2y= -12

-9(2)-2y=-12

-18-2y=-12

-2y=-12+18

-2y=6

Y= 6/2

Y=3

X=2, Y=3

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A photocopy machine can reduce copies to 80% of their original size. By copying an already reduced copy, further reductions can
alukav5142 [94]

<u>Part a)</u> if a page is reduced to 80%, what percent enlargement is needed to return it to its original size?

Let

x---------> the percent enlargement

we know that

the original size is the 100%

so

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

therefore

<u>the answer Part a) is</u>

the percent enlargement is 125%

<u>Part b)</u> Estimate the number of times in succession that a page must be copied to make the final copy less than 15% of the size of the original

we know that

A photocopy machine can reduce copies to 80% of their original size

so

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

0.80*40.96%=32.77%

Copy N 6

0.80*32.77%=26.21%

Copy N 7

0.80*26.21%=20.97%

Copy N 8

0.80*20.97%=16.78%

Copy N 9

0.80*16.78%=13.42%-------------> 13.42% < 15%

therefore

<u>the answer Part b) is</u>

the number of times in succession is 9


6 0
3 years ago
Once you have the value of a variable, how can you check that it is correct?
RideAnS [48]

Answer:Once you have the value of a variable you can check by plugging it into the equation and seeing if it’s right or not

Step-by-step explanation:

5 0
3 years ago
i need help quick!! this is unit 1:geometry basics. homework 5: angle relationships if anyone know tell me
EleoNora [17]

Answer:

I do not know the answer of 6 and 7

5 0
3 years ago
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I reallyy need help on this!<br> Thank you in advance
sattari [20]

Answer:828.96m^2

Step-by-step explanation:

radius(r)=8m

L=25m

π=3.14

total surface area of cone(tsa)=πxr^2+πxrxL

Tsa=3.14x8^2+3.14x8x25

Tsa=3.14x8x8+3.14x8x25

Tsa=200.96 + 628

Tsa=828.96

3 0
3 years ago
How many rows are needed to seat all students. When there are 846 students and each row holds 18 people
lubasha [3.4K]

Answer:

47 rows

Step-by-step explanation:

To find the amount of needed rows, we will use the math operation division. We will take the total and divide it by the amount in each row.

846/18=47

To seat 18 people in each row, you will need 47 rows.

6 0
3 years ago
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