Answer: See explanation
Step-by-step explanation:
1. 5x-7+3x and 3x-7+5x
5x - 7 + 3x
Collect like terms
5x + 3x - 7 = 8x - 7
3x-7+5x
Collect like terms
3x + 5x - 7 = 8x - 7
They're equivalent
2. 4y+9+3y and 3y+9+4y
4y + 9 + 3y
Collect like terms
4y + 3y + 9 = 7y + 9
3y + 9 + 4y
Collect like terms
3y + 4y + 9 = 7y + 9
They're equivalent
3. 6z-2z+4 and 4+2z-6z
6z - 2z + 4 = 4z + 4
4 + 2z - 6z = 4 - 4z
They're not equivalent
<span>Let x be the number of hours spent in dog-walking
Let y be the number of hours spend in car washing.
The maximum number of hours at work in a week is 20.
Therefore x + y <=20
Salary for dog-walking job =$7.50/ hour
Salary for car washing job=$6/ hour
Total salary in a week earned through dog-walking job =7.50x
Total salary in a week earned through car washing job=6y
Least amount to be earned in a week =$92
Therefore, 7.50x +6y>=92
The required inequalities are
x+y<=20; 7.50x+6y>=92
2.
Let x be the number of soil bags
Let y be the number of plants
Cost per soil bag = $4
Cost per plant =$10
Minimum number of plants she wants to buy =5
Therefore, y>=5
Maximum amount she can spent =$100
Therefore 4x+10y<=100
The required inequalities are
y>=5; 4x+10y<=100</span>
Answer: 13 & 1/2 cups of sugar
Whole part = 13
Fractional part = 1/2
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Explanation:
4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
1 batch = 3 cups sugar
4.5*(1 batch) = 4.5*(3 cups sugar)
4.5 batches = 13.5 cups of sugar
The decimal number 13.5 converts to the mixed number 13 & 1/2 which is the same as writing 13 1/2
Answer:
x = 121°
Step-by-step explanation:
(all angles in a triangle add up to 180°)
180 - 87 - 34 = 59
(supplmentary angle)
180 - 59 = 121°
Answer:
Step-by-step explanation:
a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.
