Answer:
400
Step-by-step explanation:
429 is closest to 400 on the number line so it would be 400
Answer:
x = 5
Step-by-step explanation:
2x - 5 = 5
To solve this, we need to isolate x in all terms. First off, add 5 to both sides:
2x - 5 = 5
2x = 10
Divide 2 by both sides:
2x = 10
x = 5
Answer:
Both figures have a perimeter of 112 inches.
Step-by-step explanation:
Question 5:
You are given a 6-sided shape, but only 4 sides. To find the perimeter, you need to account for the lengths of the other two sides. As all the angles are right angles, the length of the top horizontal side is equal to the combined length of the bottom two horizontal sides. Similarly the length of the left vertical side is equal to the combined length of the right two vertical sides. Because of this, you actually don't need to find the lengths of the unknown sides to answer the question.
This means the perimeter is:

Question 6:
Exactly the same process as above. Just double the longest vertical and horizontal sides (since the sum of the corresponding shorter sides is equal). You'll notice the longest horizontal side is 31, and the longest vertical side is 25...exactly the same as the previous question.
Therefore, the perimeter will again be 112 inches.
These two questions illustrate the difference between area and perimeter. Even though the perimeter of the two shapes is the same, the area of the second shape is larger than the area of the first.
Answer:
<h2>248 Songs</h2>
Step-by-step explanation:
<h3>
Step 1; Set up an equation</h3>
4l + 6l + l = 682
<h3>Step 2: Add like terms</h3>
11l = 682
<h3>Step 3: Divide by 11</h3>
l = 62
Lou has 62 songs
<h3>Step 4: Multiply by 4</h3>
Kelly has 248 songs
<h3>Step 5: Check</h3>
Kelly has 248 songs
Lou has 62 songs
Tiffany has 372 songs
Is 248 4 times 62? ✔
Is 372 6 times 62? ✔
Is 248 + 372 + 62 = 682? ✔
<h3>Step 6: Answers</h3>
Kelly has 248 songs
Lou has 62 songs
Tiffany has 372 songs
I'm always happy to help :)
Answer:
87.5
Step-by-step explanation:
By completing the square,
y
=-14x^2+70x
=-14(x^2-5x)
=-14(x-5/2)^2+175/2
the max. height=175/2
i.e. 87.5