The perimeter of a rectangle is 68 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 9 : 8. Which of the following would be the best equation to use to solve this problem?

Answers

Answer 1
Answer: the perimeter of a rectangle is 

P = 2w +2l
P = 68 ft

and given the ratio l/w = 9/8 from this result 8l = 9w so l = (9w)/8

P = 2w +2l

68 = 2w +2((9w)/8)

68 = 2w +9w/4

4*68 = 8w +9w

272 = 17w

w = 272/17

w = 16 

so than we know that w=16 so than the length will be 

l = (9w)/8

l = 9*16/8

l = 9*2

l = 18

so than we know that 

l = 18
w = 16

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V=u+at u=1 a=-3 t=1/2 work out the value and of v

Answers

Answer:

v = - (1)/(2)

Step-by-step explanation:

Given

v = u + at ← substitute the given values for u, a, t

  = 1 + ( - 3 × (1)/(2) )

   = 1 + (- (3)/(2) )

   = 1 - (3)/(2)

    = (2)/(2) - (3)/(2)

    = - (1)/(2)

This question i need helo solve it

Answers

390

85(4)=50=390

....................



It will be 390 because if you multiply the 85x4=340 and if you add the 340+50=390

To the nearest tenth, what is the length of the hypotenuse of a right triangle if one side measures 4.5 meters and the other side measures 9 meters?1) 10.1 meters
2) 20.3 meters
3) 101.3 meters
4) 202.6 meters

Answers

C squared= a squared + b squared
C squared = 4.5 squared + 9 squared
C squared = 20.25 + 81
C squared = 101.25
Square root 101.25 you get 10.06 round up and you get the answer to be number 1
the answer is 1) 10.1 meters

According to the pythagora theorum,

h² = a² + b²

h² = 4.5² + 9²

= 20.25 + 81

thus, h² = 101.25

thus, h = √101.25

thus, h = 10.06230589 units,   or 10.1  rounded to the nearest tenth

On day 1, Erica puts £1 in her bank. On day 2, she puts in £2, on day 3 she puts in £3 etc. How much money will she have after 100 days

Answers

Answer:

5050

Step-by-step explanation:

There is a simple formula for this kind of problem where you have to find the sum of consecutive numbers 1 to n:

[n(n+1)] / 2

In this case n is 100 so,

[100(100+1)]/2

[100(101)]/2

10100/2

5050

You can also do this by brute force and just add all consecutive numbers to 100

I need help to graphs these problem please

Answers

If you're talking about #5, where you have to graph the equation . . .

All you have to do is find two points on the graph, and draw a line between them.

How do you find points ?  That's where you are in control !
Just pick any number you like for 'x', and then use the equation
to calculate the 'y' that goes with it.

Examples:

Pick 'zero' for 'x'. 
Y = (1/2)x + 3
Y = 3

Pick 10 for 'x'.
y = (1/2)x + 3
y = 5 + 3
y = 8

Just create two points that way, using the equation.  Then mark
the two points on the graph, and draw a line through the two points.

What is the slope of 6x-3y=18??

Answers

the \ slope \ intercept \ form \ is : \n \n y= mx +b \n \n6x-3y=18 \n \n-3y=-6x+18 \ \ /:(-3)\n \ny=(-6)/(-3)x + (18)/(-3) \n \ny=2x-6 \n \n m = 2