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disa [49]
4 years ago
5

Is 8.3 greater than 83 tenths?

Mathematics
1 answer:
kati45 [8]4 years ago
8 0

Answer:

<em>NO</em>

Step-by-step explanation:

They are equal

83 tenths divided by 10 is 8.3

<u>Hope this helps :-)</u>

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A manufacturer of shipping boxes has a box shaped like a cube. The side length is
Tatiana [17]
 The volume of a cube with side length equal to x, is V= x^{3}, 

thus, the volume of a cube shaped box, whose side length is (5a+4b) is :

V= (5a+4b)^{3},

The volume is already expressed in terms of a and b, but we can expand the expression (5a+4b)^{3}, as follows:

(5a+4b)^{3} =(5a+4b)(5a+4b)^{2}= (5a+4b)[ (5a)^{2}+2(5a)(4b)+ (4b)^{2}]

=(5a+4b)[ 25a^{2}+40ab+ 16b^{2}]

=(5a)[ 25a^{2}+40ab+ 16b^{2}]+(4b)[ 25a^{2}+40ab+ 16b^{2}]

=125a^{3}+200a^{2} b+ 80ab^{2}+100a^{2}b+160ab^{2} + 64b^{3}

125a^{3}+300a^{2} b+240ab^{2} + 64b^{3}


Answer:

V= (5a+4b)^{3},

or 

125a^{3}+300a^{2} b+240ab^{2} + 64b^{3}


7 0
3 years ago
A red die is tossed and then a green die is tossed what is the probability that the red die shows an even number or the green di
Sergeeva-Olga [200]
The probability for the red die is 50% as with the green die.
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3 years ago
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I need help
BlackZzzverrR [31]

Answer:

Question 1)

Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.

Question 2)

Four hours.

Question 3)

Paige spent two hours biking and six hours walking.

Step-by-step explanation:

Question 1)

Let Cristina's speed be <em>x</em>.

Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (<em>x</em> + 9).

After six hours, Cristina would have traveled 6<em>x</em> miles and Kori would have traveled 6(<em>x</em> + 9) miles.

Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(<em>x</em> + 9) miles away from the restaurant while Cristina is 6<em>x</em> miles away from the restaurant.

Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:

(6x)-(-6(x+9))=186

Distribute:

6x-(-6x-54)=186

Distribute:

6x+6x+54=186

Simplify:

12x=132

Hence:

x=11

Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.

Question 2)

Let <em>h</em> represent the amount of time that has passed in hours.

Carrie left the restaurant traveling 12 miles per hour.

Four hours later, Leah left traveling in the same direction at 24 miles per hour.

After four hours, Carrie would have traveled 12(4) = 48 miles.

Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:

12h+48

Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:

24h

Leah will catch up when the two expressions are equivalent. Hence:

12h+48=24h

Solve for <em>h: </em>

<em />12h=48\Rightarrow h=4<em />

Leah will catch up with Carrie in four hours.

Question 3)

Let <em>x</em> represent the amount of hours spent biking and <em>y</em> represent the amount of hours spent walking.

The total trip to the mall took eight hours. Hence:

x+y=8

The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:

8x+5y=46

Solve the system. We can use elimination. Multiply the first equation by -5:

-5x-5y=-40

We can add this to the second equation:

3x=6

Hence:

x=2

Using the first equation again:

(2)+y=8\Rightarrow y=6

So, Paige spent two hours biking and six hours walking.

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Simplify. write your answer in standard form. <br> -4-8x+2x-15
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Answer:

x=2

Step-by-step explanation:

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4 years ago
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1\frac{1}{6}


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