Answer:
plz mark brainliest if it is correct ✌️✌️
Answer:
Daniel is 21 years old
Step-by-step explanation:
Let
R ---> Rick's age
M ---> Mike's age
L ---> Larry's age
E ---> Ed's age
D ---> Daniel's age
we know that
The sum of their ages is 271
so
----> equation 1
Rick is 5 times the age of Mike
so
----> equation 2
Mike is half the age of Larry
so
----> equation 3
----> equation 4
----> equation 5
substitute equation 2, equation 3, equation 4 and equation 5 in equation 1
simplify
-----> equation 6
substitute equation 2 and equation 3 in equation 6
solve for M
Find the value of R (equation 2)
Find the value of D (equation 5)
therefore
Daniel is 21 years old
Complete question:
When the pallet was placed on the scale, the reading came back as 325 total pounds. Note that this was including the pallet itself, which weighed 35 pounds.
How many cartons of each product were on the pallet? Create two equations to represent the situation and then solve the system. Show all work. Express your final answer using a complete sentence and appropriate units
<u>Answer:</u>
we have 25 and 55 cartons of each product
<u>Step-by-step explanation:</u>
<u></u>
we have number of carton = 10 x 8 = 80
each level has 10, and leves are 8 high
two types of product packages,
we call them w and x
w + x = 80 ------ equation 1
w has 3 pounds weight
x has 5 pounds weight
3*w +5*x
3w + 5x
total weight = 325
we subtract weight of pallet 35
= 325 - 35 = 290
3w + 5x = 290-------- equation 2
we have two equations
w + x = 80------(1)
3w + 5x = 290-------(2)
from equation 1,
w = 80 - x
put this value above in equation 2
3(80-x) + 5x = 290
240-3x+5x = 290
240+2x = 290
2x = 290-240
2x = 50
divide through by 2
x = 25
put value of x in equation 1
w + 25 = 80
w = 80-25
w = 55
so we have 55 cartons of w and 25 cartons of product x
Step-by-step explanation:
y and x are proportional:
y = kx
When x is 29, y is 275.5.
275.5 = 29k
k = 9.5
y = 9.5x. When y is 408.5:
408.5 = 9.5x
x = 43
A relationship that can be modeled as a line that passes through the origin (y = kx) is a proportional relationship.
The answer for this question is 0.2