My brother is 5 years older than me. My sister is 3 years younger than me.a. How old was I be when my brother was 10?
b. How old will my sister be when my brother is 29?
c. How old will my sister be when I am n years old?
d. How old was I when my brother was k years old?
e. How much is my brother older than my sister?
Answers
Answer:
A) You would be 5
B) She would be 21
C) (Im guessing n in 9?) She would be 6 then
D) (idk what k is)
E)7 Years apart
Hope this helps
Step-by-step explanation:
Say you are X years old, your brother is Y years old, are your sister is Z years old.
Your brother is 5 years older than you can be shown as the equation:
Y = X + 5
or
X = Y - 5
Your sister is 3 years younger than you can be shown as:
Z = X - 3
or
X = Z + 3
(a) When your brother was 10, X = 10 - 5, so you were 5.
(b) When your brother is 29, X = 29 - 5, so you were 24. When you were 24, Z = 24 - 3, your sister was 21.
(c) When you were n, you can just use the equation above, but switch the variables: Z = N - 3.
(d) When your brother was K: X = K - 5
(e) Y = X + 5 and X = Z + 3
Y = (Z + 3) + 5
Y = Z + 8
So your brother is 8 years older than your sister.
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Answers
The surface area of the composite shape is 1560 square inches
Step-by-step explanation:
The surface area of the top cardboard is,
SA = 5 x area of each side
Because one side is attached with another cardboard box . So while finding the area only 5 sides are calculated.
SA = 5 ( 10 x 10)
= 500 square inches
The surface area of the rectangular prism cardboard,
Given that,
l = 20 in
w =15 in
h = 8 in
A = 2(lw + wh + hl) - 100
We are subtracting 100 because it is the area of one side of the square cardboard box on top of the rectangular prism box .
A = 2(300 + 120 + 160) - 100
= 2(580) - 100
= 1160-100
= 1060 square inches
Total surface area = SA + A
= 500 + 1060
= 1560 square inches
The surface area of composite shape is 1760 square inches, if two cardboard boxes are stacked on top of each other. The top box is a cube with sides of 10 in and the bottom box is a rectangular prism with a length of 20 in, width of 15 in, and height of 8 in.
Step-by-step explanation:
The given is,
The top box is a cube with sides of 10 in
The bottom box is a rectangular prism with a length of 20 in, width of 15 in, and height of 8 in.
Step:1
Surface area of composite figure = Surface area of cube +
Surface area of rectangular prism
Step:2
Formula for surface area of cube,
( Only 5 sides area considered )
Where, a - Side of cube
From given, a = 10 inches
From the surface area equation,
= (5)(100)
= 500
Surface area of cube = 500 square inches
Step:3
Formula surface area of rectangular prism,
Where, w - Width
l - Length
h - Height
From the given values.
w = 15 inches
l = 20 inches
h = 8 inches
Surface area equation becomes,
= 2 ( 300 + 160 + 120 )-100
= 2 (580)-100
Surface area of rectangular prism = 1060 square inches
From the step 1,
Surface area of composite shape = 500+1060
= 1560 square inches
Result:
The surface area of composite shape is 1560 square inches.
Answers
Answers
1) At 1.30 p.m. the barge has already traveled 4.5 X 10 = 45 miles.
To catch up it will take the train 25-10 = 15miles
Answer:
Step-by-step explanation:
A rail transport freight train also bound for New Orleans leaves Baton Rouge at 1;30 PM on the same day. The train travels at 25 MPH and the river barge travels at 10 MPH. ... the barge leaves at 9:00 am so that would be at 9 hours past midnight. the train leaves at 1:30 pm so that would be at 13.5 hours past midnight.
Answers
Answers
Answer:
Y - 12 < -32
Step-by-step explanation:
Answers
We can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the following problem -
Greg who is buying a bike on a payment plan. The equation y = 20x + 600 models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars. Lin is also buying a bike on a payment plan. The bike costs 500. She will pay 25 each week.
The equation for Greg payment plan -
y = 20x + 600
models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars.
Similarly, the equation that represents the money owned by Lin -
y = 500 - 25x
[x] is the number of weeks and [y] is the amount of money remaining to be paid in dollars.
Refer the graph of both situations.
The amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.
Therefore, we can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.
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