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Anastaziya [24]
3 years ago
5

You have a 10kg bag of sand. The mass of a grain of sand is about 10 to the -3 power gram. About how many grains of sand are in

the bag of sand
Mathematics
1 answer:
Anika [276]3 years ago
8 0
10 kg* (1000 g/ 1 kg)* (1 grain of sand/ 10^(-3) g)= 10^7 grains of sand.
(Note that the units cancel out so you get the answer)

The final answer is 10^7 grains of sand.

Hope this helps~
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Help very fast please help me
Irina18 [472]

Find the discount price and subtract from the total to find the sale price.

To find the discount price, multiply 90 b 40% (convert 40% into decimal)

90 x 0.4 = 36

Next, subtract the discount from the total to find the sale price.

90 - 36 =  54

So, the sale price is <u>$54</u>.

6 0
3 years ago
Line L has equation y = 4x - 7, and line M is parallel to line L and passes through the point (2, 15). Determine the equation of
Artist 52 [7]

Answer:

A: y = 4x + 7

Step-by-step explanation:

Step 1:  Our line is parallel to this line, so it has the same slope, but a different  y-intercept, so set up the equation...

  y = 4x + b      

We are given a  point (x, y) of (2, 15), so plug that in and solve for b.  

 15 = 4(2) + b

    15 = 8 + b      (simplify)

        7 = b      (subtract 8 from both sides to isolate b)

So the equation of our line is  y = 4x + 7

3 0
3 years ago
5 watermelons 6 cantaloupes cost $54. 4 watermelons and 8 cantaloupes $56. how much is a cantaloupe
GREYUIT [131]

Answer:

A cantaloupe costs $4

Step-by-step explanation:

Watermelons = W

Cantaloupes = C

Write given statements as equations

5W + 6C = 54

4W + 8C = 56

Simplify the second equation

4W + 8C = 56

Subtract 8C from both sides of the equation

4W = 56 - 8C

Divide both sides of the equation by 4

W = 14 - 2C

Substitute into second equation

5W + 6C = 54

5(14 - 2C) + 6C = 54

Multiply 5(14 - 2C)

70 - 10C + 6C = 54

Add -10C + 6C

70 - 4C = 54

Add 4C to both sides of the equation

70 = 54 + 4C

Subtract 54 from both sides of the equation

16 = 4C

Divide both sides of the equation by 4

C = 4

A cantaloupe costs $4

5W + 6(4) = 54

Multiply 6(4)

5W + 24 = 54

Subtract 24 from both sides of the equation

5W = 30

Divide both sides of the equation by 5

W = 6

A cantaloupe costs $4

A watermelon costs $6

Hope this helps :)

8 0
4 years ago
Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).
Over [174]

Answer:

  (x, y) = (-6, 3)

Step-by-step explanation:

Maybe you want to solve ...

  • y = -2x -9
  • 2x +3y = -3

Use the first equation to substitute for y in the second:

  2x +3(-2x -9) = -3

  2x -6x -27 = -3

  -4x = 24 . . . . . . . . . add 27, simplify

  x = -6 . . . . . . . . . . . divide by -4

  y = -2(-6) -9 = 12 -9 = 3

The solution is (x, y) = (-6, 3).

6 0
3 years ago
A number N is greater than 3. Which of the following best represents the location of 3N
Nesterboy [21]

Answer:

The second number line represent the location of 3N values.

Step-by-step explanation:

The first number line represent the inequality <em>N</em> > 3.

Now, the new number is 3<em>N</em>.

Consider the second number line values:

3N = {12, 15, 18, 21, ....}

The second number line represent the location of 3N values.

5 0
3 years ago
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