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Masja [62]
3 years ago
15

Rita runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?

Mathematics
1 answer:
kherson [118]3 years ago
5 0

You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles




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Suppose a box of Cracker Jacks contains one of 5 toy prizes: a small rubber ball, a whistle, a Captain America decoder ring, a r
lakkis [162]

Answer:

11.42 boxes

Step-by-step explanation:

For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.

After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:

E_2 = (\frac{4}{5})^{-1} = 1.25

For the next unique toy, there is now a 3 in 5 chance of getting it:

E_3 = (\frac{3}{5})^{-1} = 1.67

Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:

E_4 = (\frac{2}{5})^{-1} = 2.5

Finally, there is a 1 in 5 chance to get the last unique toy:

E_5 = (\frac{1}{5})^{-1} = 5

The expected number of boxes to obtain a full set is:

E=E_1+E_2+E_3+E_4+E_5\\E=1+1.25+1.67+2.5+5\\E=11.42\ boxes

5 0
2 years ago
Draw a triangle that is both a right triangle and an isosceles triangle. You can use either pencil and paper, or a draw program.
dem82 [27]
2. measurements can be any to complementary angles.
   for example, 60 & 30
3. the 2 sides are equal. Since it is an isosceles triangle.
4.an equi.triangle can never be right angled. Since, all angles are 60° in an             equi.triangle.
5. right triangle can never have an obtuse angle since one angle is already          90°. therefore the other two agles are supposed to be acute angles.[ since        sum of all angles in a triangle is 180°]
6 0
3 years ago
Sara is 5 ft 10inches y’all ? To the nearest centimeter how tall is sara? If 1 in equals 2.54 centimeters
Dahasolnce [82]

1 foot = 12 inches.

5 ft x 12 inches per foot = 60 inches.

60 inches + 10 inches = 70 inches.

Sara was 70 inches tall.

Now convert to centimeters:

70 inches x 2.54 centimeters per inch = 177.8 cm's.

Round to nearest centimeter = 178 cm's.

4 0
3 years ago
Use the formula, I = PRT, to find the time if | = $387.50, P = $1,550, and R = 12.5%
stiks02 [169]

Answer:

T = 2

Step-by-step explanation:

Take the given formulaer

I = PRT

And plug in the variables you know (I, P, R)

387.50 = 1,550(.125)T

(12.5% becomes .125 after you divide it by 100, because precents are really just fractions out of 100)

387.50 = 193.75T

T = 2

8 0
2 years ago
Andre hit a golf ball from the ground and its movement follows the equation hbracket(t)=-16sup(t,2)+44t, where t is the time in
Natasha2012 [34]

Answer: the golf ball with hit the ground again after 2.75 seconds

Step-by-step explanation:

The movement of the golf ball from the ground follows the equation h(t)=-16t^2+44t,

where t is the time in seconds, and h(t) is the height of the ball at a given time t

By the time the golf ball hit the ground, the height from the ground would be zero. This means that we would equate the quadratic equation to zero. It becomes

-16t^2+44t = 0

Dividing both sides by t

16t^2/t = 44t/t

16t = 44

t = 44/16

t = 2.75

4 0
3 years ago
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