Find f(5) if f(t) = ^6 – 3t – 4. A –6 B

What is the cost of each item? What is the subtotal? What is the tax? What is the total paid? Shoes: $49.99 (normally) they are

prisoha [69]

Answer:

Cost of shoes = $37.4925

Cost of jacket = $92.4533

Tax = $9.81

Total paid = $144.2458

Step-by-step explanation:

Normal price of shoes = $49.99

Discount = 25%

Discounted price:

$\$49.99 - \$49.99\times \dfrac{25}{100} = \$37.4925$

Normal price of jacket = $137.99

Discount = 33%

Discounted price:

$\$137.99 - \$137.99\times \dfrac{33}{100} = \$92.4533$

Price of pack of cookies = $4.49

No discount on cookies as per question statement.

Total amount without tax = $37.4925 + $92.4533 + $4.49 = $134.4358

Sales Tax = 7.3% of total amount without tax = 7.3% $\times$ $134.4358 = $9.81

Total paid = $134.4358 + $9.81 = $144.2458

4 0

3 years ago

The area of a rectangle is 980 in squared. the ratio of the length to the width is 5 : 4. find the length and the width.

ella [17]

Answer: The length of the rectangle is 35 in.

The width of the rectangle is 28 in.
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Explanation:
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The formula for the area, "A", of a rectangle:

Area (A) = length (L) * width (w) ;

that is: " A = L * w " ;

A = 980 in² (given);

ratio of the length to the width is: " 5 : 4 " (given);

→ Find the length (L) and the width (w).
_________________________________________________________

→ 980 in² = (5x) * (4x) ;

in which: " 980 in² " is the area of the triangle;

" 5x" = the length (L) of the rectangle, for which we shall solve;

" 4x" = the width (w) of the rectangle, for which we shall solve.
_______________________________________________________
If we find solve for "x" ; we can solve for "5x" and "4x" (the "length" and the "width", respectively); by plugging in the solved value for "x" ;
_______________________________________________________

→ 980 in² = (5x) * (4x) ;

↔ (5x) * (4x) = 980 in² ;

→ (5x) * (4x) = (5) * (4) * (x) * (x) = 20 * x² = 20x² ;

→ 20x² = 980 ;

Divide each side by "10" ; by canceling out a "0" on each side of the equation:

→ 2x² = 98 ;

Now, divide each side of the equation by "2" ;

→ 2x² / 2 = 98 / 2 ;

to get:

→ x² = 49 ;

Now, take the "positive square root" of each side of the equation; (since a "length or width" cannot be a "negative value") ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ ⁺√(x²) = √49 ;

to get:

→ x = 7 ;
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Now, we can solve for the "length" and the "width" ;

→ The length is: "5x" ;

5x = 5(7) = " 35 in " ;
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→ The width is: "4x" ;

4x = 4(7) = "28 in."
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Let us check our answer:

→ A = L * w ;

→ 980 in² = ? 35 in. * 28 in. ?? ;

Using a calculator: "35 * 28 = 980" . Yes! ;
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{ Also note: " in * in = in² " ? Yes! } .
____________________________________________________

3 0

3 years ago

What is b^3+49b when factored

Over [174]

B(b^2+49)
There you go I found this on math papa.com

8 0

3 years ago

There are 20 guest at a party. The hody has 8 gallons of punch . He estimates that each guest will drink 2 cups of punch. If his

GuDViN [60]

Answer:

At the end of the party 5.5 gallons or 88 cups of punch will be leftover.

Step-by-step explanation: