3 years ago

Use compatible numbers to estimate quotient 2000 divided by 7

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

6 0

2100 divided by 7 will be 300

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The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are

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4 years ago

Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 23 ft by 13 ft. The resu

trapecia [35]

Answer:

Step-by-step explanation:

Given that rectangle has side length 23x13 feet.

When squares of side x are cut from all the four sides we have dimensions as

23-2x and 13-2x and height x

Volume $=x(23-2x)(13-2x)$

$=x(299-72x+4x^2)\\=299x-72x^2+4x^3$

Use derivative test

First derivative V'(x) $V'(x)= 299-144x+12x^2\\V"(x) = -144+24x$

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We get approximate value of x = 2.671, 9.329

Since width is 13 feet it cannot be 9.329

Hence x = 2.671

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3 years ago