Answer:
Step-by-step explanation:
Let's set up a proportion using the following setup:
We know that the florist can arrange 4 in 92 minutes.
We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.
Solve for x by isolating it on one side of the proportion.
x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.
The florist can arrange <u>9 arrangements</u> in 207 minutes.
Answer:
The total cost of the party is approximately $2300, hence the correct answer is option D.
Step-by-step explanation:
Given:
Number of students = 295 students
cost per student = $8.95
Discounts given by the company = $400
To find:
We need to estimate the total cost of the party.
Solution:
To find the total cost of the party we need to multiply the total number of students into the cost per student.
This can be done as follows:
=295×8.95
=2640.25
Therefore, the total cost of the party is $2640.25, but it is given that the laser tag company gave the students a discount of $400. Hence the total cost after discount is
=2640.25-400
=2240.25
Therefore, the total cost of the party is approximately $2300
Hence the correct answer is option D.
Answer:
y = 3x - 17
Step-by-step explanation:
Parallel lines have the same slope.
The slope of the given line, y = 3x - 2 is 3.
The equation we are looking for is of the form
y = mx + b
Since we know the slope, m, is 3, we have
y = 3x + b
To find the value of b, we substitute x and y with the values from the given point and solve for b.
-2 = 3(5) + b
b = -17
The equation is
y = 3x - 17
Answer: a = 6
Step-by-step explanation:
2a - 8a = 12 - 8a
Add 8a to each side
10a - 8a = 12
Subtract 10a and 8a
2a = 12
Divide each side by 2
a = 6
So for the dice to be 9 two die must be rolled. So we start with a 1/2 chance.
Then there are 36 possibilities to be rolled on a die (6*6) and there are 4/36 possibilities for the dice to roll a 9 (4+5, 5+4, 3+6, 6+3).
So we multiply 1/2 by 1/9 (4/36)- which equals 1/18.
So there is a 1/18 chance for the result of the dice rolled to be a 9.
I hope this helps!
