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Rus_ich [418]
2 years ago
6

X + 7y = 21 x + 4y = 15 Solve the simultaneous equations

Mathematics
2 answers:
Mariulka [41]2 years ago
8 0

<u>Answer</u>:

x = 7, y = 2

<u>Explanation</u>:

equations given:

x + 7y = 21

x + 4y = 15

make "x" the subject:

x + 7y = 21

x = 21 - 7y .........equation 1

x + 4y = 15

x = 15 - 4y .......equation 2

Solving both the equations simultaneously:

15 - 4y = 21 - 7y

-4y + 7y = 21 - 15

3y = 6

y = 6 ÷ 3

y = 2

If y is 2

Then x = 21 -7y;

x = 21 - 7(2)

x = 21 - 14

x = 7

Yuliya22 [10]2 years ago
6 0

x + 7y= 21

7 goes to RHS = X+ y = 21/7-3

x + 4y = 15

4 goes to RHS= x+y = 15/4 = 3.75

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Rainfall collected in a rain gauge was found to be 2.3 cm when rounded to the nearest tenth of a centimeter.
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Answer:

(a). 2.251 cm , 2.349 cm, 2.295 cm

(b). 0.023 meters.

Step-by-step explanation:

(a). We are asked to to choose the options that shows the actual measurement of the rainfall.

Since the rounded figure is 2.3 cm, this means that either the tenths digit is 3 with hundredths digit less than 5, or tenths digit is 2 with hundredths digit greater than or equal to 5.

Let us check our given choices one by one.

2.251\text{ cm}\approx 2.3\text{ cm}

2.349\text{ cm}\approx 2.3\text{ cm}

2.352\text{ cm}\approx 2.4\text{ cm}

2.295\text{ cm}\approx 2.3\text{ cm}

Therefore, the correct choices are 2.251 cm , 2.349 cm  and 2.295 cm.

(b) We know that 1 cm equals 0.01 meters.

To convert 2.3 cm to meters, we will multiply 2.3 by 0.01.

2.3\text{ cm}=2.3\text{ cm}\times \frac{0.01\text{ meters}}{\text{cm}}

2.3\text{ cm}=0.023\text{ meters}

Therefore, the rounded measurement of rain would be 0.023 meters.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

26 ÷ -6

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3 years ago
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