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3 years ago

Which of the following is the same as 8.4 × 102 ?

Mathematics

2 answers:

Nikitich [7]3 years ago

7 0

What is the following? but 8.4 x 102= 856.8 if that helps.

Ber [7]3 years ago

4 0

856.8 is the product of those two factors

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I need to help to solve this with answer?

Alinara [238K]

Answer:

137°

Step-by-step explanation:

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3 years ago

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Marie joined a book club. She had to pay a one time registration fee of 80.00 and then 3.00 per book.How much did it cost her to

Rasek [7]

Answer:

It cost her this much = 3×15 = 45

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3 years ago

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John has a boat that will travel at the rate of 15 kph in still water. He can go upstream for 35 km in the same time it takes to

Otrada [13]

Answer:

The boat traveling at 24 kph when John goes downstream.

Step-by-step explanation:

We are given the following in the question:

John has a boat that will travel at the rate of 15 kph in still water.

Let x be the speed of the current.

Speed of boat in upstream

$(15-x)\text{ kph}$

Speed of water in downstream

$(15+x)\text{ kph}$

Relation:

$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

We have to find the speed of boat in downstream.

Time to travel upstream for 35 km = Time to travel 140 km downstream

$\displaystyle\frac{35}{15-x}=\frac{140}{15+x}\\\\35(15+x) = 140(15-x)\\525 + 35x = 2100 - 140x\\175x = 1575\\x = 9$

Thus, speed of current is 9 kph.

Speed of boat in downstream = 15 + 9 = 24 kph.

Thus, the boat traveling at 24 kph when John goes downstream.

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3 years ago

Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o

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Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is 60 inches .

The problem says that the new design has length 3x inches longer and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design which is 36 inches .

Thus new length of rug is ( 3x + 36 ) inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is ( x + 60 ) inches .

Area of rectangle is Length * Width

Area of new rug is ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 ) = 3x ( x + 60 ) + 36 ( x + 60 )

= 3x² + 3x * 60 + 36 x + 36 * 60

= 3x² + 180 x + 36 x + 2160

Combining like terms , 3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 ) = 3x² + 216 x + 2160 .

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3 years ago

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What is -2f + 4/5f ?

Mademuasel [1]

8-4/5f=-14-2f
Multiply both sides by 5
40-4f=-70-10f
Move variable to left and change signs
-4f+10f=-70-40
Combine like terms
6x=-70-40
6f=-110
Divide both sides by 6
F=-55/3

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3 years ago