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4 years ago

Complete the inequality. 5 1/2 lb ___ 92 oz

Mathematics

2 answers:

WINSTONCH [101]4 years ago

8 0

Answer:

Answer is 5 1/2lbs < 92 oz as 5 1/2lbs is less than 92 oz.

Step-by-step explanation:

Mashcka [7]4 years ago

4 0

1 lb = 16 oz

Multiply 16 oz per pound by 5 1/2

= 16 * 5 1/2
convert to improper fraction

= 16 * 11 1/2
multiply numerators

= (16*11)/2

= 176/2

= 88 oz

Answer is 5 1/2lbs < 92 oz as 5 1/2lbs is less than 92 oz.

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There are three kids. The sum of individual squares of their body weights (2 + 2 + 2) is 100. The sum of the product of their we

Mashcka [7]

Answer:

Step-by-step explanation:

Givens

Let child one = x

Let child two = y

Let child three = z

Equations

x^2 + y^2 + z^2 = 100

xy + xz + yz = 150

Solution

There's a trick here. The square of their weights added together is equal (with some modification) to the given conditions. Start by squaring (x+y+z).

(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2xz + 2yz

Take out 2 as a common factor from the last three terms.

(x + y + z)^2 = (x^2 + y^2 + z^2+ 2(xy + xz + yz) )

Substitute the given conditions into the equation. (x^2 + y^2 + z^2) = 100 and 2*(xy + xz + yz) = 2 * 150

(x + y + z)^2 = 100 + 2*150

(x + y + z)^2 = 100 + 300

(x + y + z)^2 = 400

Take the square root of both sides.

sqrt(x+y+z)^2 = sqrt(400)

x + y + z = 20

Note

This answer tells you nothing about the values of x y and z. On the other hand it does not ask for the values of x y and z.

4 0

3 years ago

The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1+8 + 1+9 + 2+0 + 2+1 = 24). What is the sum of all the

blondinia [14]

Answer:

$R=900$

Step-by-step explanation:

You can add all the digits one by one, or count how many of each digit you have in total, for example: how many digits one are in the digits of the integers from 0 to 99:

First, the ones that are in the units: 1,11,21,31,41,51,61,72,81,91, there are 10 in total (not counting the digit one in the decimals in 11).

Then the ones that are in the decimals:

10,11,12,13,14,15,16,17,18,19 they are 10 in total (not counting the digit one in the units in 11).

This means they are 20 digit ones in total. And is the same for the twos, the threes, etc. The sum of all will be:

$R=20*1+20*2+20*3+20*4+20*5+20*6+20*7+20*8+20*9\\$

Factorizing:

$R=20(1+2+3+4+5+6+7+8+9)=20(45)=900$

6 0

3 years ago

Use the distrubutive property to simply -8(6x+3)

mixer [17]

I think it is -48x-24

5 0

2 years ago

There are 15 pieces of fruit in a bowl and 6 of them are apples? What percentage are apples

boyakko [2]

Answer:

40%

Step-by-step explanation:

You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 6 and 15 using

GCF(6,15) = 3

6÷315÷3=25

We know that

is the same as

2÷5

Then using

Long Division for 2 divided by 5

gives us

0.4

Converting our number to a percentage:

0.4×100

=40%

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3 years ago

Calculate the missing amounts for companies a to e

frez [133]

Answer:

where is the question?

Step-by-step explanation:

8 0

3 years ago