Answer:
Slope = -1/2
Step-by-step explanation:
Use y = mx + b to find the slope (m) Write the expression as an equation (-14y)-7x=0. Rewrite in slope-intercept form by removing the parentheses, adding 7x to both sides, dividing each term by -14, then writing in y = mx + b form, which is m=-1/2x. Remove the variable, it becomes your answer of -1/2.
Answer:
60
Step-by-step explanation:
Divide the number of questions answered correctly by his percentage
51 / 85 = 0.6
Now multiply that answer by 100 to see how many questions are on the quiz
0.6 x 100 = 60
Check your work by dividing that number by the number he answered correctly
51 / 60 = 0.85
Answer:
h ≤ (approx) 3.7
Step-by-step explanation:
To start, we can take our knowledge that we have to spend 20$, at minimum. Therefore, we can only allocate (150-20)=130 to our payment per hour. As we pay 35$ per hour, the amount of money relative to hours would be 35*h. Therefore, as we can allocate 130 dollars or less for our hourly payments, and our money is 35*h, we can day that 35*h(the money we spend on hourly rates) ≤ 130. Then, as 35*h ≤ 130, we can divide 35 from both sides to get h ≤ 130/35, or h ≤ (approx) 3.7
ANSWER
The smaller number is 7.
EXPLANATION
Let the numbers be x and y.
Then we have;
y-3x=3... eqn (1)
If the sum of the numbers is 3 then,
y+x=31... eqn (2)
Eqn(2) - Eqn (1)
x--3x=31-3

Divide both sides by 4,

We put x=7 into the second equation,
y+7=31
y=31-7
y=24
The smaller of the two numbers is 7.