Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 53 minutes. Billy could mow the lawn by himself in 20 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?
Answers
Maybe the figures should be 53 and 20??
Let's let Billy = A
The formula to use for work problems is
Time = (A*B) / (A+B)
53 = ( (A +20)* A) / (A +20 + A) )
53 = ( A^2 + 20A ) / (2A + 20)
A^2 + 20A -106A -1060
A^2 -86A -1060
A = 96.935
Bobby Mows in 116.935 minutes
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makes both equations true/false
Answers
Answer: false
Step-by-step explanation:
Answers
Step-by-step explanation:
Sales tax = $7.65
Explanation:
To find the sales tax, you would find 9% of $85
$85×9÷100 (You can reduce 85 and 100 because they have a common factor of 5)
$17×9÷20 (Multiply 9×17)
153÷20 = $7.65
Answer:
7.65
Step-by-step explanation:
plsssanyoneee
Answers
Answer:
/
Step-by-step explanation:
Answers
Answer:
18 = number of players
Step-by-step explanation:
Giving the following information:
Members of a softball team raised $2039.50 to go to a tournament. They rented a bus for $1157.50 and budgeted $49 per player for meals.
To calculate the total number of players they can bring, we need to use the following formula:
Total amount of money= fixed cost + unitary variable cost*number of players
2,039.5= 1,157.5 + 49*number of players
882/49= number of players
18 = number of players
The team can bring a maximum of 18 players to the tournament given the amount they raised and the budgeted expenses.
Let's use "x" to represent the number of players the team can bring to the tournament.
The total amount raised by the team is $2039.50,
and they rented a bus for $1157.50. Each player's meal will cost $49.
The total amount spent on the bus and meals for x players can be represented as follows:
Total Expenses = Bus Cost + (Number of Players) * (Cost per Player's Meal)
= $1157.50 + x * $49
Since the team's total expenses should not exceed the total amount raised,
$2039.50 ≥ $1157.50 + x * $49
$2039.50 - $1157.50 ≥ x * $49
$882 ≥ x * $49
Now, divide both sides by $49 to solve for x:
x ≤ $882 / $49
x ≤ 18
So, the team can bring a maximum of 18 players.
Learn more about Inequality here:
#SPJ3
where y represents exam score (0 to 100 points), x1 represents the amount paid to a tutor (in dollars) in the week before the exam, x2 represents the number of hours of sleep in the week before the exam, and as represents number of study hours in the week before the exam. How many independent variables are included in this model?
a. 3
b. 2
c. 1
d. 4
Answers
Answer:
a. 3
Step-by-step explanation:
An independent variable is the variable that is changed in an experiment to test its effects on the dependent variable. i.e. inputs
A dependent variable is the variable being tested, measured or predicted in an experiment. I.e a outcome
In this case, the the effects of the amount tutors are paid a week before exam, the amount of sleep before exam and the number of study hours are input variables to determine or predict a students score in exam
The independent variables are;
x1 =represents the amount paid to a tutor (in dollars) in the week before the exam
x2 = represents the number of hours of sleep in the week before the exam
x3 = number of study hours in the week before the exam
The dependent variable is the exam score
B0, B1, B2,B3, B4 are coefficients
Answers
Answer:
y+3 = -1/4(x-8)
Step-by-step explanation:
Point slope form is y-y1 = m(x-x1) where m is the slope and (x1-y1) is a point on the line
(y- -3) =-1/4(x-8)
y+3 = -1/4(x-8)