Answer:
The solution in point form is (9,7) and the equation would be x+9, y=7
Step-by-step explanation:
By using moving the -4y to the right side and by flipping the signs you can turn the equation -x-4y=-37 into x=37-4y.
With this new equation you can use the substitution method and replace the x in -2x-5y=-53 with 37-4y, making it look like this: -2(37-4y)-5y=-53.
Then you solve for y getting y=7.
With the value of y, you can plug that into the equation x=37-4y so it will look like x=37-4(7)
Then you solve for x getting x=9
And with that you get the point (9,7)
<h2>
Option C is the correct answer.</h2>
Step-by-step explanation:
Diameter, D = 42 feet
Circumference = πD = π x 42 = 131.95 feet
Number of rotations per minute = 3
Total time = 5 minutes
Total rotations = 5 x 3 = 15
Distance traveled per rotation = 131.95 feet
Distance traveled in 15 rotations = 15 x 131.95 = 1978 feet
Option C is the correct answer.
Answer:
he greatest denominator for the both of the fractions is 24 so the fractions are 10/24 and 9/24 and the answer is 19/24
Step-by-step explanation:
We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches
.
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
Answer:
The correct option is B) 720.
Step-by-step explanation:
Consider the provided information.
We have 10 candidates those qualified for 3 of the positions.
There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor, position 2 is the night nursing supervisor; and position 3 is the nursing coordinator position.
For Position 1 we have 10 choices, if we select 1 out of 10 candidates we are left with 9 candidates.
For position 2 we have 9 candidates, if we select 1 out of 9 candidates we are left with 8 candidates.
For position 3 we have 8 candidates.
Therefore, the number of ways are: 
The number of different ways that 3 positions can be filled by these applicants is 720.
Hence, the correct option is B) 720.
