Answer:
2884
Step-by-step explanation:
734 - 215x
734 - 215(-10)
734 + 2150
= 2884
The answer I got isn't one of the choices there.♀️♀️
The width of the rectangles is 4.
<u>Step-by-step explanation:</u>
Given that two rectangles have same width. So, let be the two rectangles
and
and width of rectangle is ‘x’. So, according to question, we have
Length of one rectangle
,
= x + 1
Length of other rectangle,
= x + 2
But we also know that,
![\text { Area of rectangle } = \text { Length } \times \text { width }](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Area%20of%20rectangle%20%7D%20%3D%20%5Ctext%20%7B%20Length%20%7D%20%5Ctimes%20%5Ctext%20%7B%20width%20%7D)
So, then the area for one rectangle,
![\text { Area of rectangle } R_{1} = x \times(x+1)](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Area%20of%20rectangle%20%7D%20R_%7B1%7D%20%3D%20x%20%5Ctimes%28x%2B1%29)
Similarly,
![\text { Area of rectangle } R_{2} = x \times(x+2)](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Area%20of%20rectangle%20%7D%20R_%7B2%7D%20%3D%20x%20%5Ctimes%28x%2B2%29)
So, according to question,
![\text {Area of rectangle } R_{2} = 4 \times \text { Area of rectangle } R_{1}](https://tex.z-dn.net/?f=%5Ctext%20%7BArea%20of%20rectangle%20%7D%20R_%7B2%7D%20%3D%204%20%5Ctimes%20%5Ctext%20%7B%20Area%20of%20rectangle%20%7D%20R_%7B1%7D)
![x \times(x+2) = 4+x \times(x+1)](https://tex.z-dn.net/?f=x%20%5Ctimes%28x%2B2%29%20%3D%204%2Bx%20%5Ctimes%28x%2B1%29)
Now, by solving the above equation, we get
![x^{2}+2 x = 4+x^{2}+x](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B2%20x%20%3D%204%2Bx%5E%7B2%7D%2Bx)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
So, from the above equation, we found that width of the rectangle is 4.
Answer:
69
Step-by-step explanation:
Perimeter = sum of all sides of a regular polygon = the number of sides*length of a side
Length of a side of the given regular hexagon = 3x + 5
Perimeter of hexagon = 6(3x + 5) = 6(3x) + 6(5) = 18x + 30
Length of a side of the given regular pentagon = 4x - 1
Perimeter of pentagon = 5(4x - 1) = 5(4x) - 5(1) = 20x - 5
Since we are told that the perimeter of the regular hexagon is the same as that of the regular pentagon, therefore:
18x + 30 = 20x - 5
Solve for x.
Subtract 20x from both sides
18x + 30 - 20x = 20x - 5 - 20x
-2x + 30 = -5
Subtract 30 from both sides
-2x+ 30 - 30 = -5 - 30
-2x = -35
Divide both sides by -2
x = -35/-2
x = 17.5
Length of a side of pentagon = 4x - 1
Plug in the value of x
4(17.5) - 1 = 70 - 1 = 69
length of a side of the pentagon = 69
Answer:
32
Step-by-step explanation:
There are two ways of doing this.
Frist, divide the amount of bolts by time. This will get you the bolts produced in 1 minute.
195/20
=
9.75
Now we know that 9.75 bolts are produced every 1 minute.
Lets divide the 312 bolts by the bolts produced per minute. This will give us the amount of minutes it takes to produce the 312 bolts.
312/9.75
=
<u>32.</u>
<u>This is our answer.</u>
Another way of doing thisis to divide the 20 minutes by 195, this will give you how long it takes to produce a single bolt.
20/195
=
0.1025
Now, just multpliy it by 312, and you get how long it takes to produce 312 bolts.
0.1025*312
=
<u>32</u>
<u>And again, you get the answer.</u>
Hope this helps! ;)
Answer:
4 nickels
Step-by-step explanation: