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2 years ago

3/10 and 1/2 with common denominator

Mathematics

2 answers:

stiks02 [169]2 years ago

8 0

Answer:

3/10 and 5/10

Step-by-step explanation:

Dmitry [639]2 years ago

3 0

3/10 + 1/2

1/2 = 5/10

3/10 = 3/10

3/10 + 5/10 = 8/10 = 4/5

The common denominator is 10 and the answer is 4/5.

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Question

Alik [6]

Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.

The polynomial is;. 3w³ + 22w + 24w = 5440ft³.

From the question;

Let the width = w
length, l = 3w + 4
height, h = w + 6

The volume of a rectangular prism is given by the product of its length, width and height. Thus;

Volume = l × w × h

Therefore, Volume, V = (3w +4) × w × (w +6)

To obtain the required polynomial, we expand the expression for Volume above;

V = (3w² + 4w) × (w + 6)

V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.

However, the volume of the rectangular prism has been given to be 5440 cubic feet.

Therefore, the polynomial is;

3w³ + 22w + 24w = 5440ft³.

Read more:

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8 0

1 year ago

Read 2 more answers

A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

$A =P(1+\frac{r}{n} )^{nt}$ ...............................(1)

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

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2 years ago

Amy drove her car 241 miles. The car used 8.07 gallons of gasoline on the drive. Estimate the cars gasoline mileage in miles per

Ket [755]

Miles driven in 8.07 gallons = 241 miles
Miles driven in 1 gallons = (241/8.07) * 1
= 29.86 miles

5 0

2 years ago

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

Viefleur [7K]

Each term differs by -68 and the first term is -68, we have:

$a_{n}=a_1-68(n-1) \implies \\ a_{n}=a_1-68n+68 \implies\\ a_n=-68-68n+68 \implies \\ a_n=-68n$

As an expession it's just -68n.

6 0

3 years ago

When a square number is written as a product of prime numbers what can you say about the factors?

Nana76 [90]

Answer:

The square of a prime number is prime

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3 years ago