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Charra [1.4K]
3 years ago
6

Simply 9+3(8-3(7-5))-4

Mathematics
1 answer:
EastWind [94]3 years ago
4 0

Answer:

11

Step-by-step explanation:

  1. 9+3(8-3(7-5))-4
  2. 9+3(8-3(2))-4
  3. 9+3(8-6)-4
  4. 9+3(2)-4
  5. 9+6-4
  6. 15-4
  7. 11

I first delt with simplifying the parentheses till step five. Then in five I just added 9+6 because it came before the -4. But PEMDAS is very important when doing these problems because it tell you the order

  • P (parentheses)
  • E (exponents)
  • M (multiply)
  • D (divide)
  • A (add)
  • S (subtract)
  • **the biggest thing is that with multipe and divide it depends what comes first. If you see divide before multipe in the problem just do it that way. It is the same way with add and subtract but The multiple/divide group ALWAYS comes BEFORE add/subtract
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Step-by-step explanation:

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Vitek1552 [10]

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2 years ago
Find the point, M, that divides segment AB into a ratio of 2:3 if A is at (0.15) and B is at (20.0)
timama [110]

Answer:

M = (8,9)

Step-by-step explanation:

Notice that the points (0,15), and (20,0) form with the origin of coordinates (0,0),  a right angle triangle (please see attached image). This triangle has twon perpendicular sides of length 15 and 20 respectively. Therefore, we can find the length of the segment that joins points A (0,15) and B (20,0) by finding the length of the hypotenuse in a right angle triangle (with the Pythagorean Theorem):

AB=\sqrt{15^2+20^2} =\sqrt{625} =25

Now, to get a 2:3 proportion on Segment AB which is of length 25, we need to divide it in five equal parts (see the picture on the right of the attached image), and place point M at two of these divisions from point A (0,15) and along segment AB.

In order to find the appropriate location in (x,y) coordinates, we consider a smaller triangle (pictured in orange in the image) that is similar to the first larger triangle (pictured in blue). Notice that if the length of AB is 25,  each of its five equal divisions would be of length "5", and therefore two of them will render a length of "10" (which is the hypotenuse of this smaller right angle triangle.

Now, in order to find the sides of this smaller triangle (which can give us the clues on the horizontal and vertical coordinates of point M), we can use proportions.

To find the length "x" of the horizontal side , we do:

\frac{x}{10} =\frac{20}{25} \\x=\frac{10*20}{25} \\x=8

To find the length "y" of the vertical side , we do:

\frac{y}{10} =\frac{15}{25} \\y=\frac{10*15}{25} \\y=6

Then, the coordinate "x" of point M will be "8", while we can calculate the y position of point M subtracting "6" from 15 (the length of the vertical side in the original triangle). This gives us the coordinates (8,9) for point M as marked in orange in the picture.

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3 years ago
54 thousands 6 hundreds 12 tens – 15 thousands 8 hundreds 26 tens = ________(1 Point)
Afina-wow [57]

Answer:

38,660

Step-by-step explanation:

54 thousands 6 hundreds 12 tens – 15 thousands 8 hundreds 26 tens

54 thousands = 54000

6 hundreds = 600

12 ten = 12*10 = 120

54 thousands 6 hundreds 12 tens = 54000+600+120 = 54720

15 thousands = 15000

8 hundreds = 800

26 tens = 26*10 = 260

15 thousands 8 hundreds 26 tens = 15000+800+260 = 16060

Thus,

54 thousands 6 hundreds 12 tens – 15 thousands 8 hundreds 26 tens

= 54720- 16060 = 38,660 (Answer)

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