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I need help w/ math how!!pleaseee
ok this is the question: 1- it takes 1 hour longer to fly to st. paul at 200 mi/h than it does to return at 250 mi/h. how far away is st. paul?
2- find 3 consecutive integers whose sum is 126.
3-the sum of four consective odd integers is 216. find the 4 integers.
4- a rectangular picture frame is to be 8 in. longer then its wide. dennis uses 84 in. of oak to frame the picture. what is the width of the frame?
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- please help on atleast one of the questions you dont need to help answer all of them if you dont want.
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for the first question: (I forgot how to do it haha)
speed = distance/time right?
what’s indicated in the question are:
going to st paul: speed is 200 miles/hour time is x
going back from st paul: speed is 250 miles/hour time is x-1 (because its 1 hour shorter to travel from stpaul to original location, thus, x-1)
recalling the equation for Speed, speed = distance/time
if you wanna know distance: distance = speed*time
we know that distance is the same because its the same location so we can equate the 2 items.
200x = 250 (x-1) (200 is the speed) (x is time for going to st paul) = (250 speed) (x-1 is time going back from stpaul)
200x = 250x-250 250 = 250x-200 250 = 50x 5 = x
so, it takes 5 hours to travel to st paul at 200 miles per hour
speed = distance/ time 200 miles per hour = distance
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5 hours
(200 miles/hr)* 5 hours = 1000 miles
so there.
I hope this is right.
on the rectangle:
A rectangle’s perimeter is 2L+2W right? Its said that the Length is longer by 8 inches than the width so we can translate: width is shorter by 8 inches than the length (L-8).
2L+2(L-8)=84
Distribute 2 to the items in parentheses 2L+2L-16=84
Add those with variables and transpose 16 to the side of 84 and reverse the sign 4L=84+16
Add 16 to 84. 4L=100
Divide 100 by 4 L=25
So, the first length is 25 Second length is 25 First width is 25-8 or 17 Second width is 17 too.
50+34 is 84. the rectangle’s perimiter is 84 so that checks that the answer is correct.
st paul is 1000 miles away
for the question on consecutive integers:
X is the first number X+1 is the second number X+2 is the third number
x+(x+1)+(x+2)=126 Move all the xs beside each other and move the constants beside each other so its easier to understand: X+x+x+1+2=126 Add the 3 xs (it is 3x because x is like 1x) 3x+3=126 transpose 3 to the side of 126 and reverse the sign (dunno why, its a rule). 3x=126-3 Subtract 3 from 126 3x=123 Divide 123 by 3 X=41
So, x or the first number is 41 X+1 or the second number is 42 X+2 or the third number is 43.
Equals 126
This is the same as the odd consecutive numbers, but instead of x, x+1, x+2, I think you need to find:
X first number X+2 second odd number X+4 third odd number X+6 4th odd number
thx you so much
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