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3 years ago

Use the net as an aid

Mathematics

1 answer:

miss Akunina [59]3 years ago

3 0

Answer:

Step-by-step explanation:

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If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num

weeeeeb [17]

Answer:

Step-by-step explanation:

$x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right$

$\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}$

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3 years ago

One day at St. Philip's High School, 1/2 of the pupils walked to school, 1/5 of the pupils came to school by bus, and the remai

Sergio [31]

The first thing to do is the make the denominators of the fractions the same.

5/10 of the pupils walked to school and 2/10 of the pupils came to school by bus.
5/10 + 2/10 = 7/10.
10/10 - 7/10 = 3/10.

<span>3/10 of the pupils came to school by car. </span>

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3 years ago

connie sells lemonade for $0.25 per small cup and $0.75 per large cup. if she sells 20 small cups how many large ones must she s

Nady [450]

Answer:34

Step-by-step explanation:

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3 years ago

Solve the question will mark branliest and with an explantion

erma4kov [3.2K]

Answer:

The car loses $5,635 every year. Multiply 24,500 by 23% (0.23)

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3 years ago

Find the values of a and b that make the quadrilateral a parallelogram.

Yuri [45]

Step-by-step explanation:

both halves of a diagonal must be equal.

so,

8b - 30 = 6b + 6

2b = 36

b = 18

and

9a - 13 = 5a + 5

4a = 18

a = 18/4 = 4.5

5 0

2 years ago