Answer:
6z-7>8z+2? = z < -9/2
Step-by-step explanation:
6*z-7-(8*z+2)>0
-2z - 9 = -1 • (2z + 9
Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
2z+9 < 0
Divide both sides by 2
z+(9/2) < 0
Subtract 9/2 from both sides
z < -9/2
Answer: z < -9/2
Answer:
x = 9
Step-by-step explanation:
To solve these problems, you first set up an equation representing the information given.
6x = x² - 27
This turns into a quadratic equation which you need to factor out.
0 = x² - 6x - 27
You want to choose two numbers that multiply to -27, and add up to -6
0 = (x - 9)(x + 3)
If you're unfamiliar with factoring, you take the opposite sign of the number in the parentheses because it's a shortcut when setting it equal to 0.
x = 9, -3
Since it asks for the positive solution only, the answer is x = 9.
I hope this helps!
Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
Answer:
Percentage of error by Clare is estimated as 4.1667 %
Step-by-step explanation:
Height measured by Clare = 4 feet
Height measured by Doctor = 4 feet, 2 inches
Percentage error = ?
Percentage error = Difference/ Actual height *100
Percentage error = (2/ (4*12))*100
Percentage error = 4.1667 %
The accurate height is measured by Doctor, as he have more accurate measurement system.