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3 years ago

A system of equations is shown:

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x=-y+6&(1)\\-4x+3y=8&(2)\end{array}\right\\\\(1)\\-y+6=2x\qquad\text{subtract 6 from both sides}\\-y=2x-6\qquad\text{change the signs}\\y=6-2x\\\\\text{substitute it to (2):}\\\\(2)\\-4x+3(6-2x)=8\qquad\text{use the distributive property}\\-4x+(3)(6)+(3)(-2x)=8\\-4x+18-6x=8\qquad\text{subtract 18 from both sides}\\-10x=-10\qquad\text{divide both sides by (-10)}\\x=1\\\\\text{put the value of x to (1):}\\\\y=6-2(1)\\y=6-2\\y=4$

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During a week-long dry spell, the water level in a pond decreased by 4 in. Per day, except for two days when it decreased by hal

Helga [31]

Answer:

24 inches.

Step-by-step explanation:

Given:

During a week the water level in a pond decreased by 4 in. Per day,

For two days, it decreased by half that amount = $4\times\frac{1}{2}=2\ inches\ per\ day$

Question asked:

How much did the water level decrease in the pond in one week?

Solution:

As we know, there are 7 days in a week.

Each day water level decreased by = 4 inches

In 5 days, water level decreased by = $4\times5=20\ inches$

<u>For exceptional 2 days:</u>

Each day water level decreased by = 2 inches

In 2 days, water level decreased by = $2\times2=4\ inches$

Water level decreased in whole week = 20 + 4 = 24 inches

Therefore, water level decreased 24 inches in the pond in one week.

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4 years ago

Can somone help me find the distance please

Stells [14]

Answer:

I believe that the answer is over by 3,-1

Step-by-step explanation:

and also is there any a,b,c,d, multiple choice answers?

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3 years ago

dao has 2⅜ pounds of hamberger meat he is making ¼ pound hamburgers does dao have enough meat to make 10 hamburgers? Explain

sergij07 [2.7K]

2 3/8 pounds = 19/8 pounds, each burger requires 1/4 or 2/8 pounds

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4 years ago

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Square root of -49 one two or none solutions

Alika [10]

Answer: one

Step-by-step explanation:

it is 7

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2 years ago

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I need to graduate please.<br>Which expression is a perfect cube?<br> x^8<br> y^24<br> m^26<br> s^64

myrzilka [38]

Remember
$(a^b)^c=a^{bc}$

note that if $a^3$ is a perfect cube then $(a^3)^c$ is also a perfect cube when c is an integer

$(a^3)^c=a^{3c}$
so if a number is a perfect cube then the power must be divisible by 3

8 is not divisible by 3
24 is divisible by 3
26 is not divisibley by 3
64 is not divisible by 3

the perfect cube is y^24

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3 years ago