Hello from MrBillDoesMath!
Answer: 3
Discussion:
The perimeter of a polygon is the sum of the side lengths.
Perimeter of top polygon is (x+2) + 2x + (x + 2) + (4x + 1) = 8x + 5
Perimeter of bottom triangle is 4x + 2x + (3x+2 ) = 9x + 2
The perimeters are the same when
8x + 5 = 9x + 2
Subtract 8x from both sides:
5 = (9x - 8x) + 2 or
5 = x + 2
Subtract 2 from each side to get x = 3:
5 -2 = 3 = x
The perimeter of either figure is 29
Regards, MrB
Answer:
21,755.8
Step-by-step explanation:
To solve this equation, we must first find 407% of 60.
To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.
407/100 x 60/1 = 24,420/100
24420 / 100 = 244.2
244.2 is 407% of 60.
Lastly, you subtract 244.2 from 22,000.
22,000 - 244.2 = 21,755.8
First, we need to find the least common denominator. The LCD for 7/8 and 1/3 would be 24. 7*3/8*3 = 21/24. 1*8/3*8 = 8/24. So, how many 8/24 will go into 21/24? 8 goes into 21 two times, and we are left with a remainder of 5. The answer is: Karen can make 2 and 1/24 servings of 1/3 cups of ice cream.
Answer:
x= 4 y= 7 z= -6
Step-by-step explanation:
solve for one and you get them all
First, I got rid of the z by multiplying common factors (multiplied z by 2) and added equations 2 and 3 together after multiplying by 2
4x - 3y - 2z = 7
-10x+10y+2z= 18
-6x+7y= 25
Then multiplied z by -3 (to get rid of the z) with the original equation 3
3x - 2y + 3z = -20
15x-15y-3z= -27
18x-17y= -47
Next find common thing between the 2 equations we got and multiply it by that and combine (we can multiply first equation by 3 to get rid of the x and solve for y)
-18x+21y= 75
18x-17y= -47
y=7
Work backwards, substitute 7 into the above equation, you get x= 4 and then same for z to get z= -6
The quantity of lemonade Regan sold on Saturday is 11/4 gallons
<h3>How to solve fraction?</h3>
- Mark = 2 7/8 gallons
- Regan = 2/3 gallons as much as mark
Amount of lemonade Regan sold = 2 7/8 × 2/3
= 23/8 × 2/3
= 66 / 24
= 11/4 gallons
Complete question:
On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons did Regan sell?
Learn more about fraction:
brainly.com/question/14453317
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