Answer:
When combining like terms the given expression turned to the simplest form of expression 3(x+z)+5
That is 4x+7z-x+5-(4z)=3(x+z)+5
Step-by-step explanation:
Given expression is 4x+7z-x+5-(4z)
To combining the given expression to solve it as below :
4x+7z-x+5-(4z)
=4x+7z-x+5-4z
=4x-x+7z-4z+5 ( combining the like terms of x and z )
=3x+3z+5 ( here adding the like terms )
=3(x+z)+5 ( taking the common factor )
Therefore 4x+7z-x+5-(4z)=3(x+z)+5
When combining like terms the given expression turned to the simplest form of expression 3(x+z)+5
That is 4x+7z-x+5-(4z)=3(x+z)+5
Answer:
first one is 2.2mm/year and second is 6.2years and -2.2mm/year
Step-by-step explanation:
Just trust me im right
This question above is incomplete
Complete Question
Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
Answer:
70 Blue marbles
Step-by-step explanation:
Let red marbles = R
Blue marbles = B
Step 1
Jim had 103 red and blue marbles.
R + B = 103.......Equation 1
R = 103 - B
Step 2
After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles
2/5 of B to Samantha
Jim has = B - 2/5B = 3/5B left
He also gave 15 red marbles to Samantha
= R - 15
The ratio of what Jim has left
= Red: Blue
= 3:7
= 3/7
Hence,
R - 15/(3/5)B = 3/7
Cross Multiply
7(R - 15) = 3(3/5B)
7R - 105 = 3(3B/5)
7R - 105 = 9B/5
Cross Multiply
5(7R - 105) = 9B
35R - 525 = 9B............ Equation 2
From Equation 1, we substitute 103 - B for R in Equation 2
35(103 - B) - 525 = 9B
3605 - 35B - 525 = 9B
Collect like terms
3605 - 525 = 9B + 35B
3080 = 44B
B = 3080/44
B = 70
Therefore, Jim originally had 70 Blue marbles.
To solve this problem you must apply the proccedure shown below:
1. You have that a <span>grapefruit is 8% heavier than an orange and an apple is 10% lighter than the orange. Therefore, let's give a value to the orange as following:
Orange=1 kg
2. Therefore, you have:
Grapefruit=1 kg+(0.08x1 kg)=1.08 kg
Apple=1 kg-(0.1x1 kg)=0.9 kg
3. Therefore, what</span><span> percentage is the grapefruit heavier than the apple?
%=(0.9/1.08)100-100
%=16.66%
The answer is:</span>16.66%
An equation is the word phrase for 25-0.6x
