Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13
x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.
Answer: 5
Step-by-step explanation:
The mode is the number that appears the most often in the set of data. As we can see, 5 is the most common number.
Answer:
ne solution was found :
r = -2
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*(x+6)-10+r-(3*(x+12)+5*x)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((8•(x+6))-10)+r)-(3•(x+12)+5x) = 0
Step 2 :
Equation at the end of step 2 :
((8 • (x + 6) - 10) + r) - (8x + 36) = 0
Step 3 :
Equation at the end of step 3 :
r + 2 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : r+2 = 0
Subtract 2 from both sides of the equation :
r = -2
One solution was found :
r = -2
Step-by-step explanation:
Step-by-step explanation:
This is called the binomial square. It is stated as: the square of the difference of two binomials (two unlike terms) is the square of the first term plus the second term minus twice the product of the first and the second term.
Answer:
<h2>Billy earns more money per hour cutting grass.</h2>
Step-by-step explanation:
Notice that Billy earns $5 per hour ranking leaves, and he earns $6.25 per hour cutting grass.
This unit rate of 6.25 can be found by dividing $25 by 4 hours, becasue according to the problem, he earns $25 for every 4 hours.
Therefore, Billy earns more money per hour cutting grass.
