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DanielleElmas [232]
3 years ago
11

A 12 foot board is cut so that one piece is 5 times as long as the other. Find the length of each piece.

Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

2 and 10

Step-by-step explanation:

Let x be length of the small piece and y the length of the big one.

● y = 5x

Since the big piece is 5 times longer than the short one.

The total length is 12 ft

● y + x = 12

● 5x + x = 12

● 6x = 12

Divide both sides by 6

● 6x/6 = 12/6

● x = 2

So the length of the two pieces are 2 ft and 10 ft (5×2)

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Turner has 6 pounds of pasta. Each time he makes dinner he uses 0.75 pound
Marrrta [24]

Answer:

8

Step-by-step explanation:

if you have 6 pounds and you use 0.75 pounds per then you can make 6/0.75 dinners = 8

4 0
3 years ago
Simplify 8/12 completely.<br> 6/10<br> O 4/8<br> 2/3<br> O 4/6
Vinil7 [7]

Answer:

he fraction 8/12 simplified is equal to 2/3.

Step-by-step explanation:

The solution to this problem can be found by first figuring out the greatest common denominator between.

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when doing the question 3 + 4p = -73 with lanes when I am removing 3 what do I do, subtract or add or multiply? etc.
emmasim [6.3K]

Answer:

When you remove the 3 you subtract becuase in this case 3 is positive. subtract 3 from 3 then subtract 3 from -73.

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3 years ago
What is side e<br><br>Angle d and angle f<br>Please let me know asap
irga5000 [103]

9514 1404 393

Answer:

  • e ≈ 9.608
  • D ≈ 46.5°
  • F ≈ 38.5°

Step-by-step explanation:

The only given angle is between the two given sides, so the Law of Cosines must be used to find the side opposite the angle. It tells you ...

  e² = d²+f² -2df·cos(E)

  e² = 7² +6² -2·7·6·cos(95°) ≈ 92.321082

  e ≈ 9.608

The remaining angles can be found from the law of sines.

  sin(D)/d = sin(E)/e

  D = arcsin(d/e·sin(E)) ≈ arcsin(7/9.608·sin(95°)) ≈ 46.5°

  F = 180° -95° -46.5° = 38.5°

8 0
3 years ago
Solve the inequality x-4 &lt; - 3.Then graph the solution set.show your work.
bearhunter [10]

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

<u>  + 4    +4</u>                        Do inverse operations by adding 4 on both sides

    x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, <em>less/greater than and/or equal to (such as these ≥ ≤ )</em> signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

8 0
2 years ago
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