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Anettt [7]
3 years ago
12

you are riding a train. your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds. How much more can you add

to your bag? inequality and solve
Mathematics
1 answer:
Strike441 [17]3 years ago
8 0

Let the additional weight that can be added be = x

Current weight of the bag = 38 pounds

Total weight can be = 50 pounds

The equation becomes:

38+x\leq50

x\leq50-38=12

Hence, a weight of 12 pounds cab be added to the current wight.

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( 9³. 9 . 9⁰ ÷ 9⁴. 9¹ )-³<br><br>simplify and calculate this algebraic expression​
deff fn [24]

Answer:

  1/729

Step-by-step explanation:

According to the Order of Operations, the expression will be evaluated like this.

  \left(9^3\cdot9\cdot\dfrac{9^0}{9^4}\cdot9^1\right)^{-3}\\\\=\left(729\cdot9\cdot\dfrac{1}{6561}\cdot9\right)^{-3}\\\\=\left(\dfrac{6561}{6561}\cdot9\right)^{-3}=9^{-3}=\boxed{\dfrac{1}{729}}

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If you were to combine exponents before doing the evaluation, you would have ...

  (9^3·9^1·9^0·9^-4·9^1)^-3 = 9^((3+1+0-4+1)·(-3)) = 9^-3 = 1/729

Note that the 9^1 term in the original expression is <em>not in the denominator</em>. The preceding division is done before the result is multiplied by 9^1, <em>according to the order of operations</em>.

Some authors use the ÷ symbol to mean "everything on the left divided by everything on the right". Some students fail to put needed parentheses around denominators. As a consequence we're not sure precisely what it is we're supposed to evaluate without seeing the original typeset expression.

8 0
2 years ago
What is the equation of the line that passes through the points (4, 5) and (7, 3)
swat32

Answer:

y = -2/3x + 23/3

Step-by-step explanation:

Let equation of the line be y = mx + c

m = (3-5)/(7-4) = -2/3 gradient/slope formula

sub (4, 5)

5 = -2/3 (4) + c

c = 23/3

therefore, equation of the line is y = -2/3x + 23/3

Hope it helps! :)

This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)

7 0
3 years ago
During the sale, the price of the video camera was marked down 14%. The sale price of the video camera was $744.57. What was the
Lady bird [3.3K]

Answer:

848.81

Step-by-step explanation:

find 14 percent of 744.57 then add that to 744.57

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