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3 years ago

Convert 7 3/4 to improper fraction

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer: 31/4

Step-by-step explanation:

The 7 is basically the fraction has been 4/4 7 times, and the 3 means that after that we have 3 left over. So we do:

7×4=28

Then since we have 3 left over:

28+3=31

So the fraction would be 31/4

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Answer:

(A) (5/2)x^3 -(9/4)x^2 +(7/2)x -3/2

(B) No. The factor 1/4x -1/2 is not the same as 1/2x -1/4.

Step-by-step explanation:

(A) With a little practice, you can do these in your head, so there is no "work" to show.

The product of highest-degree terms is (1/2x)(5x^2) = (5/2)x^3.

The x^2 term in the product will be the sum of terms that are one of ...

x-term × x-term
constant × x^2

so the x^2 term is ...

(1/2x)(-2x) + (-1/4)(5x^2) = -x^2 -(5/4)x^2 = -(9/4)x^2

The x-term in the product will be the sum of terms of the form

constant × x-term

so the x term is ...

(1/2x)(6) + (-1/4)(-2x) = 3x +(1/2)x = (7/2)x

Finally, the constant term in the product is the product of the constants:

(-1/4)(6) = -6/4 = -3/2

This makes the product of the two polynomials be ...

(5/2)x^3 -(9/4)x^2 +(7/2)x -3/2

___

(B) One of the factors is the same, but the other is different. The product will be different.

1/2x -1/4 = (2x-1)/4
1/4x -1/2 = (x -2)/4 . . . . not the same as above

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sergejj [24]

Answer:

27.59 without tax

Step-by-step explanation:

27.95 with tax

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3 years ago

José and Maris work for different car dealerships. José earns a monthly salary of $3,500 plus a 8% commission on sales. Maris ea

kaheart [24]

Answer: When sales are greater than 2000 then José's monthly earnings sre more than those of Maris.

Step-by-step explanation:

Let x= Total sales

For José, monthly salary = $3,500

Commission percentage = 8% =0.08

Monthly earnings= Monthly salary + (Commission percentage) x (Total sales)

Monthly earnings= 3500 +0.08 x

For Maris, monthly salary = $3,900

Commission percentage = 6%

Monthly earnings= 3900 +0.06 x

When José's monthly earnings > Maris's monthly earnings

then, 3500 +0.08 x > 3900 +0.06 x

Subtract 3500 from both sides, we get

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3 years ago

The Haynes family is building an addition to their house that includes a new

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Answer:

Part A

$A_{t}=22(12+w)$

Applying Distributive property: $A_{t}=264+22w$

Part B

$A_{t}=660\ ft^2$

Step-by-step explanation:

 Attached is the model that belongs to this exercise (The model was missing)

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Part A

Notice that the dimensions of the new bathroom are:

$l=22\ ft\\w=12\ ft$

We do not know the width of the new bathroom, but we know that both rooms will have the same length. Knowing this, we can write an expression for the total area of both rooms by using the Distributive Property:

$A_{t}=22(12+w)$

Applying Distributive property:

$A_{t}=264+22w$

Part B

If the width of the bedroom is 18 feet, you need to substitute this value into the expression $A_{t}=264+22w$ in order to find the total square footage of the two rooms:

$A_{t}=264+22w\\\\A_{t}=660\ ft^2$

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3 years ago

Convert 7 3/4 to improper fraction​

Convert 7 3/4 to improper fraction