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melamori03 [73]

3 years ago

9

Brett has a 30 online gift voucher . He plans to buy as many books as he can . The cost of each book is 4. There is also a singl

e shipping charge of 2. How many books can he afford without spending more than his gift voucher amount ?

1 answer:

Nata [24]3 years ago

6 0

7 books with a cost of 28$ then a 2$ charge which will put him right at 30

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The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle

AVprozaik [17]

Answer:

Length of rectangle is 31 yards and Width is 24 yards.

Given:

The length of a rectangle is 7 more than the width.
The area is 744 sqaure yards

Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

$\\ \: \: \: \: \pink{ \dashrightarrow \: \: \: \: \sf { \underbrace{Area_{(Rectangle)} = Length × Width }}} \\ \\$

On Substituting the required values, we get;

$\\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x = 24 \: or \: - 31 \\ \\$

As we know that width of the rectangle can't be negative. So x = 24

<u>Hence</u>,

Width of rectangle = x = 24 yards
Length of the rectangle = x + 7 = 31 yards

$\therefore$ Length of rectangle is 31 yards<u> </u>and Width is 24 yards.

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2 years ago

If the following fraction is reduced, what will be the exponent on the p? -5p^5q^4/ 8p^2q^2

viktelen [127]

<span>-5p^5q^4/ 8p^2q^2
= -5p^3q^2

</span><span>exponent on the p will be 3

answer
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3 years ago

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15 more than twice the hours Carla work last week is the same as three times the hours she worked this week decreased by 15. She

balandron [24]

Let the number of hours she works be x

2x+15 15 more than twice the

3x-15 15 less than 3 times the hours she worked

2x+15=3x-15

3x-2x= 30

x= 30

the number of hours she worked is 30

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KiRa [710]

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Y = (x²+3)(2x-6)<br> What is the derivative?

ahrayia [7]

Answer:

y = (x²+3)(2x-6)

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3 years ago