The single-variable equation with at least ten terms is 7x - 0.5x + 1/2x + 27 + 29 = 17x - x + 10 - 3 + 9, and the solution is x = 5
<h3>How to create the single variable equation?</h3>
Let the variable of the equation be x.
The rules in the question are:
- The number of terms is 10;
- At least one variable term must have a fractional coefficient
- At least one variable term must be non integer decimal coefficient
- At least one variable term must be negative
So, the equation must take the form
ax + bx + cx + f + g = dx + ex + h + i + j +k
So, we have:
7x - 0.5x + 1/2x + 27 + 29 = 17x - x + 10 - 3 + 9
Evaluate the constant terms
7x - 0.5x + 1/2x + 56 = 17x - x + 16
Evaluate the variable terms
8x + 56 = 16x + 16
Apply the distributive property
8(x + 7) = 16(x + 1)
Divide through by 4
2(x + 7) = 4(x + 1)
Expand
2x + 14 = 4x + 4
Apply the distributive property
2(x + 7) = 4(x + 1)
Divide through by 2
x + 7 = 2(x + 1)
Expand
x + 7 = 2x + 2
Collect like terms
2x - x = 7 - 2
Evaluate
x = 5
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hi
she earns 40 a day + 14 for each tables
if there is 17 tables then :
40 + 14*17 = 40 + 238 = 278
Let the two numbers be x and y.
The sum is 45, therefore
x + y = 45 (1)
The difference is 5, therefore
x - y = 5 (2)
Add equations (1) and (2).
x + y + (x - y) = 45 + 5
2x = 50
x = 25
From (1), obtain
25 + y = 45
y = 45 - 25 = 20
Answer: 20 and 25
<h3>
Answer: B) segment CD</h3>
Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.
Water freezes at 32 degree Fahrenheit.
Step-by-step explanation:
Given,
Formula for Celsius to Fahrenheit = 
x = Celsius temperature
Boiling point of water = 0°C
We will put x=0
0°C = 
0°C = 0+32
0°C = 32 degree Fahrenheit
Water freezes at 32 degree Fahrenheit.
Keywords: temperature, addition
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