There are two boards, a and b. The total length of both is 28 feet. Board b is at least 5 feet longer than board a, but the difference is not more than 12 feet. What are the possible lengths of the two boards?
Answers
Answer:
Step-by-step explanation:
Let a represent the length of board a.
Let y represent the length of board b.
The total length of both is 28 feet. This means that
a + b = 28
Board b is at least 5 feet longer than board a. This means that
b ≥ a + 5
The difference between both boards is not more than 12 feet. This means that
b - a < 12
Substituting a = 28 - b into b ≥ a + 5, it becomes.
b ≥ 28 - b + 5
b ≥ 28 - b + 5
2b ≥ 28
b ≥33/2
b ≥ 16.5
16.5 - a < 12
4.5 < a
a > 4.5
The possible lengths of board a is
8 to 11.5 feet
The possible lengths of board b is
16.5 to 20 feet
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I really need help with that
Answers
Answer:
Step-by-step explanation:
Given
Square wrestling has a perimeter of 12x+32 feet
Suppose the side of the square mat is a
Perimeter is the sum of the side lengths of a polygon
for square, it is given by
Therefore, the side length of the square mat is
Answers
12.8 + 400 = £412.80
1% of 400 = 4
0.1% of 400 = 0.4
(3 x 1%) + (2 x 0.1%) = 3.2%
3.2% = 12.8
Answer is 412.8 pounds
2.What percent of 64 is 24?
A) 267%. B) 62.5%. C) 40%. D) 37.5%
3.What percent of $6.50 is $2.60?
A) 25%. B) 40%. C) 90%. D) 250%
4.20% of 140 is what number? A) 280. B) 120. C) 28. D) 12
Answers
All the solutions are,
1) 350 is 70% of number 500.
2) 37.5% of 64 is 24.
3) 40% of 6.5 is 2.60.
4) 20% of 140 is 28.
Now, We can simplify all the equation as,
1) Let us assume that a number = x
Hence, We get;
350 = 70% of x
Solve for x,
350 = 70x/100
350 = 7x/10
3500 = 7x
7x = 3500
x = 500
So, 350 is 70% of number 500.
2) Let us assume that, x% of 64 is 24.
Hence, We get;
⇒ x% of 64 = 24
Solve for x;
⇒ x/100 × 64 = 24
⇒ 64x = 2400
⇒ x = 2400 / 64
⇒ x = 37.5%
Hence, 37.5% of 64 is 24.
3) Let us assume that, x% of 6.5 is 2.60
Hence, We get;
x% of 6.5 = 2.6
x/100 x 6.5 = 2.6
6.5x = 260
x = 260/6.5
x = 40
Hence, 40% of 6.5 is 2.60.
4) Let us assume that a number = x
Hence, We get;
20% of 140 = x
20/100 x 140 = x
2800 = 100x
x = 2800 / 100
x = 28
Hence, 20% of 140 is 28.
Learn more about the percent visit:
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Answer:
1. A 500
2. D 37.5
3. B 40%
4.C 28
Step-by-step explanation:
Answers
10000000 ≈ 1458258211769
Answers
Answer:
April Beginning Balance $ 1,633,427
Step-by-step explanation:
The closing balance of January is the opening balance of February
February,
Opening Balance $1,234,567
Add Payment received on invoices $825k
Less Cost of sales $198k,
Less Overheads $356k ,
Less Other Expenses $92k .
February Ending Balance $ 1,413, 567
March
Beginning Balance $ 1,413, 567
Add Payment received on invoices $825k *1.12= 924 k
Less Cost of sales $198k *1.09= 215.82k
Less Overheads $356k *1.09= 388.04k
Less Other Expenses $92k *1.09= 100.28k
March Ending Balance = $ 1,633,427
April Beginning Balance $ 1,633,427
Treating the Costs of Sales, Overheads and the other expenses as the expenses paid out of the Bank Balance meaning no accounts payable or other cash paid.
30
B.
2
C.
24
D.
360