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3 years ago

14

Original Price: $.75 Discount: ? Sale Price: $.15 What’s the discount

1 answer:

Drupady [299]3 years ago

6 0

First we find out what percent the sale price is of the original price.

0.15 / 0.75 x 100 = 20%

Then we subtract this from 100% to get the discount:

100 - 20 = 80% discount

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This is hard for me I need help or my mom is going to be

Harrizon [31]

the answer should be letter A

the difference of 3.4 and 1.25 = 2.15

Now you know that there will be 2 whole blocks and .15 of a block

.15 is equal to 3/20 which is equal to 15/100.

So you will have 2 whole blocks and 15/100 of a blocks. So the answer is A

4 0

2 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

Pam kept track of the puppies available for adoption at the shelter. after 2 hours, there were 10 puppies available for adoption

nataly862011 [7]

the 5th hour there would be 4 puppies available for adoption

The 6th hour would have 2 puppies available for adoption

these answers are only correct if the ratio stays the same

7 0

3 years ago

What is the answer to log↓2(x)-3=1

sveticcg [70]

If u are trying to solve for x is that x=2

7 0

3 years ago

Two coplanar lines that are perpendicular to the same line are parallel.

Semenov [28]

Coplanar lines are <u>lines</u> that lie on the same <u>plane</u>.

Theorem: If two <u>coplanar lines</u> are <u>perpendicular</u> to the same line, then the two lines are <u>parallel</u> to each other.

This theorem is true always, therefore, given statement is true always.

Answer: correct choice is A

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3 years ago

Read 2 more answers