Answer:
The correct answers are with side lengths 1 feet and 8 feet, the perimeter is 18 feet; and with side lengths 2 feet and 4 feet, the perimeter is 12 feet.
Step-by-step explanation:
The area of a rectangular banner is 8 square feet.
The side lengths of this rectangular banner are whole numbers.
Thus the possible pairs of side lengths that would give 8 when multiplied with each other are (1 , 8) ; (2 , 4).
So the possible side lengths are 1 feet and 8 feet or 2 feet and 4 feet.
The perimeter when the side lengths are 1 feet and 8 feet are 18 feet.
The perimeter when the side lengths are 2 feet and 4 feet are 12 feet.
Answer:
x= 7.87298334621 x=.12701665379
Step-by-step explanation:
This is in standard form so we have to factor this into
x^2-8x + 16 + 1 = 16
(x-4)^2 = 15
(x-4) = 
x-4= ± 3.87298334621
x-4 = 3.87298334621 x-4= -3.87298334621
x= 7.87298334621 x=.12701665379
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
<u>Step-by-step explanation:</u>
Let us consider the soda bottles as x and juice bottles as y.
From the given data we can derive 2 equations,
35x+15y= 410. .....(1)
x=y+6. ....(2)
Substitute equation (2) in (1),
35(y+6)+15y=410.
35y+ 210+15y=410.
50y+210=410.
50y=410-210.
50y=200.
y=4.
Substitute y value in equation (2),
x=4+6.
x=10.
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
Answer:
The answer would be the second plot
Step-by-step explanation:
The frequency table show how many sick patients there are in a single age range. In the first two plots, the total dots between numbers 24, 25, 26, 27, 28, and 29 add up to 3, and the other 2 plots do not, so those are not correct.
When we add up the total of dots from ages 30-34 on the first plot, there are only 4 sick patients. On the second graph, there are 6 total patients in that age range. Therefore, the dot plot that corresponds with the frequency table is the second one.
