Step-by-step explanation:
Let age of rick = x
age of sara = y
age of marcos = a
age of jade = b
Rick is 4 years younger than Sara.
x = y - 4
Marcos is 3 years older than Jade.
a = b + 3
Rick's age is twice the age of Marcos and Jade's ages combined.
x = 2(a+b)
The youngest is 9 years old.
The youngest is jade because rick and sara are the parents and marcos is older than she is.
b = 9
How old is each??
a = b + 3
a = 9 + 3 = 12
Marcos is 12 years old
x = 2(a+b)
x = 2 (12 + 9)
x = 2 (21) = 42
Rick is 42 years old
x = y - 4
42 = y - 4
y = 42 + 4 = 46
Sara is 46 years old
Let's let the weight of a large box be L, and the weight of a small box be S.
We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120
We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234
You can multiply the first equation by 3 to get:
15L + 9S = 360
See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75
Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75
Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.
So a large box is 15.75kg, and a small box is 13.75kg.
Hope this helped
<u>Answer</u><u>:</u>
Equation: x + 2 = 7/8x - 15
Solution: x = -136
<u>Explanation</u><u>:</u>
x + 2 = 7/8x - 15
2 + 15 = 7/8x - x
17 = 7/8x - 8/8x
17 = -1/8x
17 × -8 = x
-136 = x
Answer:
when they are intersecting at a 90 degree angle.
Step-by-step explanation:
when lines intersect, they just cross over one another at any point. but with perpendicular lines, they have to be at a right angle. an example of this is a square. all of its corners are perpendicular