Our school swimming pool is 25 m long if our coach wants us to swim 3 km how many lengths of food will we need to swim ?
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We will have to divide the length the coach wants you to swim by the length of your pool to find how many laps you must swim. However, we need to first convert 3 km to meters by multiplying by 1000 (because 1 km = 1000 m).
3 * 1000 = 3000 m
Now we can divide.
You will need to swim 120 laps (not a realistic number).
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Dave drives 15 miles to work the journey takes 20 minutes what is Dave's average speed in miles per hour?
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A.18/36
B.3/4
C.12/18
D.1/3
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1. 5 with an exponent of 2 multiplied by 5 with an exponent of 5
2. e with an exponent of 2 multiplied by e with an exponent of 7
3. 2a with an exponent of 5 multiplied by 6a
4. 4x with an exponent of 2 multiplied by -5x with an exponent of 6
5. 7 with an exponent of 9 divided by 7 with an exponent of 3
6. v with an exponent of 14 divided by v with an exponent of 6
7. 15w with an exponent of 7 divided by 5w with an exponent of 2
8. 10m with an exponent of 8 divided by 2m
9. 2 with an exponent of 5 multiplied by 3 with an exponent of 7 multiplied by 4 with an exponent of 3 divided by 2 with an exponent of 1 multiplied by 3 with an exponent of 5 multiplied by 4
10. 4 with an exponent of 15 multiplied by -5 with an exponent of 6 divided by 4 with an exponent of 12 multiplied by -5 with an exponent of 4
11. 6 with an exponent of 7 multiplied by 7 with an exponent of 6 multiplied by 8 with an exponent of 5 divided by 6 with an exponent of 5 multiplied by 7 with an exponent of 5 multiplied by 8 with an exponent of 4
12. -3 with an exponent of 6 multiplied by 10 with an exponent of 5 divided by -3 with an exponent of 4 multiplied by 10 with an exponent of 3
Answers
2). Same rule. e² x e⁷ = e⁹
3). Same rule, but make sure to start with like bases.
2a⁵ x 6a = (2 x 6) (a⁵ x a¹) = 12 a⁶
4). Same rule, but make sure to start with like bases.
4x² (-5)x⁶ = (4) (-5) (x² x⁶) = -20x⁸
5). To divide with like bases, subtract the denominator (divisor) exponent
from the numerator (dividend) exponent. ===> 7⁹ / 7³ = 7⁶
6). Same rule. v¹⁴ / v⁶ = v⁸
7). Same rule, but make sure to start with like bases.
15w⁷ / 5w² = (15/5) (w⁷/w²) = 3 w⁵
8). Same rule, but make sure to start with like bases.
10 m⁸ / 2m = (10/2) (m⁸ / m¹) = 5m⁷
9). Same rules. Add exponents to multiply, subtract them to divide.
( 2⁵ x 3⁷ x 4³ ) / (2¹ x 3⁵ x 4) = (2⁵ / 2¹) x (3⁷ / 3⁵) x (4³ / 4¹) = 2⁴ x 3² x 4²
10). (4¹⁵) x (-5)⁶ / (4¹² x (-5)⁴ ) = (4¹⁵/4¹²) x [ (-5)⁶/(-5)⁴ ] = 4³ x (-5)² = 4³ x 5²
11). (6⁷ x 7⁶ x 8⁵) / (6⁵ x 7⁵ x 8⁴) = (6⁷ / 6⁵) x (7⁶ / 7⁵) x (8⁵ / 8⁴)
You can finish it from here, you Crazy Unicorn you.
12). [ (-3)⁶ x 10⁵ ] / [ (-3)⁴ x 10³ ] = [ (-3)⁶ / (-3)⁴ ] x (10⁵/10³)
The last step is yours. Take it !
Answers
5/4 cannot be simplified.
The tree's parameters will be 3 1/2 inches tall and 5/4 inches wide.
DCB
Answers
Answers
The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
Solution:
Given that exterior angle of triangle is 140 degrees
The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
Given that adjacent angles are congruent
Let one of the non adjacent interior angles be "x"
x + x = 140
2x = 140
x = 70
So the two interior angles are 70 degrees and 70 degrees
Let us find the third interior angle
The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees
70 + 70 + third angle = 180
third angle = 180 - 70 - 70
third angle = 180 - 140
third angle = 40 degrees
Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees