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Tanzania [10]
3 years ago
6

What decimal number is the smallest 1.001, 1.1, 1.01, or 1.011

Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0
The first one 1.001, because the zeros in front make it smaller
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You are planning to make an open rectangular box from a 25​-in.-by-49​-in. piece of cardboard by cutting congruent squares from
Darya [45]

Answer:

The dimensions of the box are 38.48 x 14.48 x 5.26 in.

Step-by-step explanation:

We will have a piece of cardboard with squares of side x cut from the corners to make a open box.

The volume of the box can be written as:

V=A\cdot B\cdot x\\\\V=(49-2x)\cdot (25-2x)\cdot x\\\\V=x\cdot (4x^2-2x*(49+25)+49*25)\\\\V=4x^3-148x^2+1225x

To calculate the maximum volume, we derive and equal to zero

dV/dx=12x^2-296x+1225=0

We apply the quadratic equation to know the roots of the equation

x=\frac{-b\pm\sqrt{b^24ac}}{2a}\\\\x=\frac{296\pm\sqrt{296^2-4*12*1225}}{2*12}  =\frac{296\pm\sqrt{87616-58800}}{24}= \frac{296\pm\sqrt{28816}}{24}\\\\x=\frac{296\pm169.75}{24}= 12.333\pm7.073\\\\\\x_1=12.333+7.073=19.406\\\\x_2=12.333-7.073=5.26

The first solution is physically impossible, as the side that is cut would be bigger than 25.

So the real solution is for x=5.26 in.

Then, the dimensions of the box are:

A=49-2x=49-2*5.26=49-10.52=38.48\\\\B=25-2x=25-10.52=14.48

8 0
3 years ago
Please help me with this! I will give 25 points and Brainliest if it is correct!
kotegsom [21]

Answer:16/20

Step-by-step explanation:  

if you divide the two numbers by 4 you have:

16/4=4

20/4=5

(if you divide or multiply both of the numbers with the same number, the ratio will remain the same)

So the two numbers are same

7 0
3 years ago
Read 2 more answers
Plz help<br> Will be marked BRAINLIEST!!!!!!
mariarad [96]

Answer:

2b + 88 = 180

Step-by-step explanation:

Hope this helps

6 0
3 years ago
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Brenden Read 3/4 of a book that was 7/8 inches thick. How much of the book, in inches, did he read?
Firdavs [7]

Answer:

A

Step-by-step explanation:

To find how much 3/4 of a number is, multiply 3.4 by the number. Since the book is 7/8 inches thick, Brenden read 3/4 * 7/8.

To multiply fractions, multiply straight across numerator and denominator.

3/4 * 7/8 = 3*7/ 4*8 = 21/32

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3 years ago
Andrea ran 400 meters in gym class How many cm. did she run
aliya0001 [1]
1 m = 100 cm

Multiply:

100 * 400 = 40000

So she ran 40,000 centimeters.
7 0
3 years ago
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