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White raven [17]
3 years ago
14

48=3 times 2 to the power of a 56=7 times 2 to the power of bWhat are the values of a and b?a= b=

Mathematics
1 answer:
Digiron [165]3 years ago
8 0

9514 1404 393

Answer:

  • a = 4
  • b = 3

Step-by-step explanation:

From your knowledge of multiplication tables, you know ...

  48 = 6·8 = 3·2·2·2·2 = 3·2^4 . . . . a = 4

  56 = 7·8 = 7·2·2·2 = 7·2^3 . . . . . . b = 3

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Step-by-step explanation:

3 0
3 years ago
The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Solve for x. Round to
Black_prince [1.1K]
 Length = x + 2  (because it is 2 cm more than x)
Width = 2x - 5   (5 cm lest than 2x)Area = 54 cm2  this is the formula to find the area Length × Width = Area (x + 2)(2x - 5) = 542x2 - x - 10 = 54   (this is you area)

  Subtract 54 on both sides of equation to make the right side zero. 2x2 - x - 64 = 0  then use the quadratic formula x = (-b ± √(b2 - 4ac)) / 2a where:a = 2b = -1c = -64 Plug in these values into the formula. x = (1 ± √(1 - 4(-128))) / 4 x = (1 ± √(513)) / 4 x = (1 ± 22.65) / 4 x = (1 + 22.65) / 4          and          x = (1 - 22.65) / 4 x = 5.91                          and          x = -5.41  Check the validity of the x values by adding them to the length and width.  If the length or width should be a negative value, then that value of x is not acceptable. Now x = 5.91 Length = 5.91 + 2  (positive value.)Width = 2(5.91) - 5  ( positive value.) x = 5.91    If we look at this -- x = -5.41, Both length and width will be negative values. We reject this value of x.  The answer is x = 5.91

Hope I helped and sorry it was really long
6 0
3 years ago
Read 2 more answers
NEED HELP URGENT!! How do I solve this on number 30?(please go through the steps)
tatiyna

x^2+6x-5=0

x^2=2x

2x+6x-5=0

2x+6x=8x

8x-5=0

+5 +5

(if you don’t know what I’m doing here is that I’m removing the negative 5 by putting a positive 5 since both of them make 0. Also the “x” always stay alone and the unit stays as the unit)

(I putted the positive under the 0 because what u do to the unit you need to do the same thing with the other.)

8x/8=5/8

(If ur lost here it means dividing.)

The answer

X=0.625

(btw I’m not really sure if this is right so um don’t really trust me in this lol)

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3 years ago
Serafina is solving a number puzzle that involves three integers. Integers, e, f, and g, where e is negative. The product of e a
Alex73 [517]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
Emma made 3/4 of a pound of trail mix. If she puts 1/8 of a pound into each bag, how many bags can Emma fill?
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3/4 divided by 1/8 would be 6 so Emma can fill 6 bags. Hope this helps and please mark brainliest!
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2 years ago
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