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3 years ago

the length of a rectangle is 5 cm less than 3 time its width. if the perimeter of the rectangle is 54 cm, find the length and wi

dth

Mathematics

1 answer:

castortr0y [4]3 years ago

6 0

$length = 3x - 5 \\ width \: = x \\ p = 2l + 2w \\ 54 = 2(3x - 5) + 2x \\ 54 = 6x - 10 + 2x \\ 54 = 8x - 10 \\ 64 = 8x \\ x = 8 = width \\ 3(8) - 5 = 24 - 5 = 19 \\ length = 19$

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WhT is this rounded to the nearest hundredth

Sergio [31]

Answer:

32.02

Step-by-step explanation:

The number that is in the hundredths place is five. You can remember this by knowing that the decimal point counts as one and all the number to the right of the decimal point count as zero. So 0 is in the tenths place, 1 is in the hundredths place, 5 is in the thousandths place, 6 is in the ten thousandths place and so on. So if you round this number to the nearest hundredth, you'll get 32.02 because if you're rounding a number and the number you're rounding with (knowing that the number you're rounding will always be rounded with the number to the right of it) is 5 or greater than 5, that number that you have to round will go up one unit.

I hope this helped!

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3 years ago

The distance to the nearest exit doir is no more than 150 feet. Use d to represent the distance in feet to the nearest exit door

il63 [147K]

Answer: $d\leq150$

Step-by-step explanation:

1. You have the following information given in the problem:

- The distance to the nearest exit door is no more than 150 feet.

- $d$ represents the distance to the nearest exit door, in feet.

2. Therefore, keeping the information above on mind, you know that the distance to the nearest exit door ( $d$ ) must be less than or equal to 150 feet, then, you can express this as following:

$d\leq150$

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3 years ago

Solve the system with elimination 4x+3y=1 -3x-6y=3

Nuetrik [128]

Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

$4x+3y=1$ and $-3x - 6y = 3$ , we can look at which variable will be easiest to eliminate.

$y$ looks like it might be easy to get rid of, we just have to multiply $4x+3y=1$ by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation $4x+3y=1$ by 2.

$2(4x + 3y = 1)\\8x + 6y = 2$

Now we can add these equations

$8x + 6y = 2\\-3x-6y=3\\$

------------------------

$5x = 5$

Dividing both sides by 5, we get $x = 1$ .

Now we can substitute x into an equation to find y.

$4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1$

Hope this helped!

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3 years ago

If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per pe

Sonja [21]

Answer:

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

Step-by-step explanation:

Notation

Let X be the average contribution size before John makes his contribution.

Let Y be the total contribution size before John makes his contribution.

Let Z be John's contribution.

We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

$1.5 X = 75$