The length of a rectangle is 4 more than 3 the width. If the perimeter of the rectangle is 18.4 cm, what is the area of the rectangle?

Answers

Answer 1

Answer: im assuming you mean 4 more than 3 times the width so we'll make the width x and the length 3x + 4
perimeter is all of the sides added together so our equation is 2(x) + 2 (3x + 4) because there are two sides for length and two for width. we expand this equation to: 2x + 6x + 8 which equals 8x + 8. this is equal to 18.4 so 8x + 8 = 18.4
subtract each side by 8: 8x = 10.4
divide each side by 8: x = 1.3
if x = 1.3 then the width = 1.3
if the width = 1.3 then the length = 7.9 because 3(1.3) + 4 = 7.9
area is length times width so 1.3 x 7.9 = 10.27
The area is equal to: 10.27

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The lengths of the sides of a triangle are 7. and 10. If the length of the longest side of a similar triangle is 25. what is the length of the shortest side of this triangle?

Answers

Answer: 17.5

Step-by-step explanation:

7:10 = x:25

times both sides by 25

25(7/10) =x

than solve for x

X = 25 × (7/10)

X = 17.5

The bank balance was $1,234,567 on January 31. In February, we received $825k on paid invoices, and had $198k in cost of sales, $356k in overhead, and $92k in other expenses. In March, we expect cash revenue to grow by 12% and all expenses to grow by 9%. What do you project the bank balance to be on April 1?

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.

Which measurement is not equivalent to the others?1 quart
4 cups
48 fl. oz.
2 pints

Answers

If you would like to know which measurement is not equivalent to the others, you can calculate this using the following steps:

1 quart = 4 cups
1 quart = 2 pints
1 quart = 32 fl. oz.

Not equivalent: 48 fl. oz.

Final answer:

48 fl. oz. is not equivalent to 1 quart, 4 cups, and 2 pints as it is equal to 6 cups while the others are equal to 4 cups.

Explanation:

To determine which measurement is not equivalent to the others, we need to convert all the measurements to the same unit. Let's convert all the measurements to cups:

1 quart = 4 cups
2 pints = 4 cups
48 fl. oz. = 6 cups

From the conversions, we can see that 48 fl. oz. is not equivalent to the others since it is equal to 6 cups, while the others are all equal to 4 cups.

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Which of the following triangles is a unique triangle that could not berearranged into a different size or shape?

Answers

Answer:

Option 2

Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.

Final answer:

An equilateral triangle is a unique triangle that cannot be rearranged into a different size or shape.

Explanation:

In mathematics, a unique triangle refers to a triangle that is distinguishable from other triangles based on its side lengths and angle measures. One such triangle is an equilateral triangle. An equilateral triangle has all three sides of equal length and all three angles of equal measure.

An equilateraltriangle is unique because it cannot be rearranged into a different size or shape. No matter how you rotate or flip the triangle, it will always have the same side lengths and angle measures. Therefore, an equilateral triangle is a unique triangle that cannot be rearranged into a different size or shape.

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Which of the following is the scaling factor a of the function f(x)=3|x|?A. -1
B. -3
C. 1
D. 3

Answers

The scaling factor of the given function, f(x) = 3|x| is equal to 3. This is evident because the equation suggests that whatever is the absolute value of x from the equation is, multiply it only by 3 and then we determine the value of y. The answer to this question is letter D. 3.

Which scenario is modeled in the diagram below? Percents Total 75% 25% 100% 25% 25% 25% 25% $55.15 $55.15 $55.15 $55.15 Kaia saved $55.15 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $165.45 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $55.15 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60. Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.

Answers

Answer:

the answer is d

Step-by-step explanation:

i did whhat the other person said and got it right

Answer:

Step-by-step explanation:

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