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pishuonlain [190]
2 years ago
5

A56-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece

is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces
Mathematics
1 answer:
nasty-shy [4]2 years ago
5 0

Answer:

Here ANSWER

X+2x+5x = 56. Divide 56 by 8 to get 7 = x. First=7. Second=14, third=35

Step-by-step explanation:

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What is the answer to<br> 56 is 28% of
klio [65]
In mathematics, 'is' would be the equal sign. And 'of' would be the multiplcation sign. The missing number would be any variable.

56 is 28% of a number would be translated algebraically to:

56 = \frac{28}{100} \times x

Solving for x, we get:

56 = \frac{28}{100} \times x

Divide 28 on both sides

2 = \frac{x}{100}

Multiply 100 on both sides

x = 200

56 is 28% of 200
5 0
2 years ago
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Sydney invested $440 in an account paying an interest rate of 5.6% compounded daily. Assuming no deposits or withdrawals are mad
stealth61 [152]

Answer:

The time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

Step-by-step explanation:

Given

  • Principle Amount P = $440
  • Accrued Amount A = $640
  • Interest rate r = 5.6% = 0.056
  • Compounded daily n = 365

To determine:

Time period t = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

solving for t

t = ln(A/P) / n[ln(1 + r/n)]

substituting the values A = 640, P = 440, n = 365 and r = 0.056

t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )

t = 6.691

t ≈ 7  (nearest year)

Therefore, the time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

4 0
2 years ago
Pls help sixowiskosixo
erma4kov [3.2K]

The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

<h3>Quadratic Equation</h3>

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

y = ax^2 + bx + c

The given quadratic equation is 24x^2 + 2x = 15

Let's rearrange the equation

24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0

This implies that

  • a = 24
  • b = 2
  • c = -15

The equation or formula of quadratic formula is given as

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}

We can substitute the values into the equation and solve

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Learn more on quadratic equation here;

brainly.com/question/8649555

#SPJ1

7 0
1 year ago
Simplify the expression. Write answer without spaces between terms and signs.
dsp73

Answer:

4h-7

Step-by-step explanation:

Step by Step Solution

STEP1:Equation at the end of step 1 (1 - 2h) + 2 • (3h - 4) STEP2:

Final result :

4h - 7

4 0
2 years ago
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ABC bank requires a 20% down payment on all of its home loans if a house is priced at 185000 what is the amount of the down paym
Alekssandra [29.7K]

It would be 37’000 because 20% of 185000 is 37’000 which you get by 20 x 185000 and dividing the answer to 100.

3 0
3 years ago
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