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oksian1 [2.3K]
3 years ago
7

What is the volume of the cube shown? 112 in 30 in 6 in 2 in

Mathematics
1 answer:
Elenna [48]3 years ago
7 0

Answer:

11 \frac{25}{64}

<h3>First answer is correct</h3>

Step-by-step explanation:

2 \frac{1}{4}  \times 2 \frac{1}{4}  \times 2 \frac{1}{4}  \\  \frac{9}{4}  \times  \frac{9}{4}  \times  \frac{9}{4}  \\  =  \frac{729}{64}   \\ = 11 \frac{25}{64} \:  \:  \:   {in}^{3}

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A cashier has 26 bills consisting of three times as many ones as fives, one less ten than fives, and the rest twenties. If the v
monitta
Let number of  fives = x then number of ones = 3x  and number of tens = x - 1

so we can create the equation 

x + 3x +  x-1 + y = 26  where y = number of twenties
so
5x + y = 27

also we have the equation 

5x + 3x + 10(x - 1) + 20y = 120

18x + 20y = 130..................................(1)
5x    + y    = 27     multiply  by -20:-
-100x - 20y = -540..............................(2)
Adding equation (1) and (2)
-82x = -410
x  = 5,  that is  5 fives

Now plug x = 5 into equation 1:-
18(5) + 20y = 130
20y =  40
y =  2 ,   that is 2 twenties

So the answer is   there are (3x) = 15 ones , 5  fives, 4 tens and 2 twenties
7 0
4 years ago
For the function y=400-22x, what is the rate of change
dolphi86 [110]

Answer:

-22

Step-by-step explanation:

The function y=400-22x is a linear equation in the form y=mx + b. Although they put "mx" after "b" so the equation doesn't start with a negative.

"m" is rate of change, or the slope if graphed.

The negative means "y" decreases as "x" increases. On a graph, it decreases left to right.

8 0
3 years ago
If y varies directly as x and y=32 when x=4. find the constant of variation​
Llana [10]

Answer:

k = 8

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 32 when x = 4, then

32 = 4k ( divide both sides by 4 )

8 = k

7 0
3 years ago
Read 2 more answers
john weighs 65 kilograms, sam weighs 22x kilograms. and mark weighs 13x kilograms. write an expression in simplest form for thei
-BARSIC- [3]
Y= 35x + 65
You have to combine like terms.
6 0
3 years ago
Read 2 more answers
One half of a melon was shared equally among 3 people. What fraction of the whole melon did each person get? explain
jonny [76]

Answer:

1/2

Step-by-step explanation:

Given data

Total melon= 1 1/2

In simple fraction= 3/2

DIvide 3/2 by 2

= 3/2/3

=3/2 * 1/3

=3/6

= 1/2

Hence each person will get 1/2 of  the whole water melon

3 0
3 years ago
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