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iVinArrow [24]
3 years ago
13

Sennee cut a ribbon into 3 equal pieces . Then she cut 5 inches off one piece . That piece is now 3 inches long. What was the le

ngth of the original ribbon?
Mathematics
1 answer:
ratelena [41]3 years ago
4 0
Each piece is x inches long. If she cut 5 inches from x, then it's now x-5 inches long.

This is equal to 3 inches (given) so equate the two expressions and isolate x

x-5 = 3
x-5+5 = 3+5
x = 8

Each piece is 8 inches long. There are 3 pieces. Therefore the original ribbon was 24 inches long (8*3 = 24). 
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Answer:

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6 0
3 years ago
Elena receives ​$131 per year in simple interest from three investments totaling ​$3000. Part is invested at​ 3%, part at​ 4% an
ioda

Answer:

Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Step-by-step explanation:

Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:

1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125

1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128

1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131

Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%

7 0
3 years ago
Are the lengths of the side of the square and perimeter of the square related proportionally? Why or why not
telo118 [61]

Answer:

They are proportional

Step-by-step explanation:

becaue the length of one of the square's sides is 1/4 the perimeter

8 0
3 years ago
Heidi solved the equation
Liono4ka [1.6K]

Answer:

Correct.

Step-by-step explanation:

3 0
3 years ago
What is 3x3 – 11x2 – 26x + 30 divided by x – 5?
ahrayia [7]
Hello :
 3x3 – 11x2 – 26x + 30 divided by x – 5 is :<span>3x2 + 4x – 6
because :
(x-5)(3x²+4x-6)=3x^3+4x²-6x-15x²-20x+30 =</span>3x3 – 11x2 – 26x + 30
8 0
3 years ago
Read 2 more answers
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