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EastWind [94]
3 years ago
9

Drag the tiles to the correct boxes to complete the pairs. Match each expression to the correct verbal description. 8 added to t

he cube of 7x the cube of the sum of 7x and 8 7 times the cube of the sum of x and 8 8 added to the product of 7 and x cubed

Mathematics
1 answer:
QveST [7]3 years ago
6 0

Answer:

<u>A. (7x)³ + 8 ⇔ 8 added to the product of 7 and x cubed</u>

<u>B. 7x³ + 8 ⇔ 8 added to cube of 7x</u>

<u>C. 7 (x + 8)³ ⇔ 7 times the cube of the sum of x and 8</u>

<u>D.  (7x + 8)³ ⇔ the cube of the sum of 7x and 8</u>

Step-by-step explanation:

1. Let's drag the tiles to the correct boxes to complete the pairs.

A. (7x)³ + 8 ⇔ 8 added to the product of 7 and x cubed

The second tile was already given and solved, however we're copying it.

B. 7x³ + 8 ⇔ 8 added to cube of 7x

C. 7 (x + 8)³ ⇔ 7 times the cube of the sum of x and 8

We use the expression 7 times because number 7 is multiplying the sum inside the parenthesis.

D.  (7x + 8)³ ⇔ the cube of the sum of 7x and 8

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Answer:

Given that

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John can run 100 meters dash in 16    --------- seconds .

                                                                  5

Savanna 's time is 19.8 seconds .

Here we have John time in mixed fraction and Savanna's time in decimal .

Converting mixed fraction into improper .

     1                      16 * 5     +  1                 80 + 1                 81

16  --------    =     ---------------------------    =   -------------- =   - -----------

    5                           5                                  5                      5

Thus we got John time as 81 /5 seconds .

Converting Savanna's time in fraction , we get

 19 8

----------  seconds .

  10  

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fraction .

We need to make denominator 10 .

Multiply John fraction by 2 in both numerator and denominator by 2 to make denominator 10 .

81 * 2               162

----------  =      ------------ seconds .

5 *  2                   10

John is taking less time than Savanna . Thus John is faster .

Difference

198          162            36

-------  -     -------     =  ------- seconds  

10              10              10

Thus John is faster by  (36/10 ) seconds  =  3.6 seconds.

Step-by-step explanation:

Given that

                                                                 1

John can run 100 meters dash in 16    --------- seconds .

                                                                  5

Savanna 's time is 19.8 seconds .

Here we have John time in mixed fraction and Savanna's time in decimal .

Converting mixed fraction into improper .

     1                      16 * 5     +  1                 80 + 1                 81

16  --------    =     ---------------------------    =   -------------- =   - -----------

    5                           5                                  5                      5

Thus we got John time as 81 /5 seconds .

Converting Savanna's time in fraction , we get

 19 8

----------  seconds .

  10  

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fraction .

We need to make denominator 10 .

Multiply John fraction by 2 in both numerator and denominator by 2 to make denominator 10 .

81 * 2               162

----------  =      ------------ seconds .

5 *  2                   10

John is taking less time than Savanna . Thus John is faster .

Difference

198          162            36

-------  -     -------     =  ------- seconds  

10              10              10

Thus John is faster by  (36/10 ) seconds  =  3.6 seconds.

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