30% as a decimal to the nearest hundredth
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30% ÷ 100 = .30
* Note - I left the answer as .30 as opposed to dropping the zero because it specifically asked for the answer rounded to the nearest hundredth.
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53/7 as a mixed number
Mariel wrote these checks from her checking account: $10, $10, $31, and $10. Which number shows the change in the balance of her checking account?a: $ -61 b: $ -1 c: $ 1 d: $ 61
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28:42 can be reduced to 2:3 as both share 14 as a factor.
x : 24
24/3 = 8
8 x 2 = 16
16 red velvets are in a box with 24 chocolate
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The perimeter of the rectangle is 34 1/8 inches. To find it, you converted the mixed number dimensions to improper fractions, used the perimeter formula, and simplified the result to a mixed number.
To find the perimeter of a rectangle, you can use the formula P = 2(l + w), where P represents the perimeter, l is the length, and w is the width.
In this case, the length of the rectangle is 10 3/16 inches, and the width is 6 7/8 inches. To add mixed numbers, first convert them to improper fractions for easier calculation.
Length:
10 3/16 = (10 * 16 + 3) / 16 = 163/16 inches
Width:
6 7/8 = (6 * 8 + 7) / 8 = 55/8 inches
Now, plug these values into the formula:
P = 2(163/16 + 55/8)
Now, find a common denominator, which is 16:
P = 2((163/16) + (110/16))
Now, add the fractions:
P = 2(273/16)
Multiply the sum by 2:
P = (2 * 273)/16 = 546/16
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
P = (546/2)/(16/2) = 273/8
So, the perimeter of the rectangle is 273/8 inches. To express it as a mixed number:
273/8 = 34 1/8 inches
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−9(x + 6) + 60 = 13 − 10x
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Answer:
x=7
Step-by-step explanation:
−9(x + 6) + 60 = 13 − 10x
Distribute
−9x -54 + 60 = 13 − 10x
Combine like terms
-9x +6 = 13 -10x
Add 10x to each side
-9x+10x +6 = 13-10x+10x
x +6 = 13
Subtract 6 from each side
x+6-6=13-6
x = 7
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As 4²+(5/2)²=22.25=89/4 (Pytagorean theorem)
Perimeter of the triangle =2*√89 /2 +5 =5+√89
Lateral area: 18*(5+√89)
Total area= 90+18√89+ 4*5/2 *2 =110+18√89 ≈279.811..(ft²)