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Colt1911 [192]
3 years ago
14

A jar contains 40 marbles. 12 are green, 14 are blue and the rest are red. What is the probability of picking a green marble?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

12 out of 40 or in simplist terms 3/10

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Jasmine’s age is 4 times her age 10 years ago. Write an equation that represents the statement.
aleksandr82 [10.1K]

Answer:

x + 10 = 4x

Step-by-step explanation:

Let x = her age 10 years ago.

Her age now is x + 10.

x + 10 = 4x

5 0
2 years ago
George is cooking an elaborate meal. He can only cook one thing at a time in his microwave oven. His turkey takes 90 ​minutes; t
AysviL [449]
<h2>Answer :</h2>
  • He need 111.75 minutes to cook the meal
  • He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.

<h2>Step-by-step explanation :</h2><h3>Known :</h3>
  • George can only cook one thing at a time
  • Turkey takes 90 minutes to cook
  • Pumpkin pie takes 20 minutes to cook
  • Rolls take 60 seconds to cook
  • A cup of coffee takes 45 seconds to heat

<h3>Asked :</h3>
  • Time needed to cook the meal
  • Time he need to start in order to complete the cooking at 4 P.M.

<h3>Completion :</h3>

Let's convert all the seconds to minutes. We know that 60 seconds is equal to one minute. So,

60 seconds = 1 minutes

45 seconds = 45/60 minutes = 0.75 minutes

Time needed = Turkey + Pumpkin pie + Rolls + Coffee

Time needed = 90 + 20 + 1 + 0.75

Time needed = 111.75 minutes

Then, we'll calculate the time he need to start in order to complete the cooking at 4 P.M. First, let's convert the minutes to clock format.

111.75 minutes = 1 hour and 51.75 minutes

111.75 minutes = 1 hour and 51 minutes and 45 seconds

Lastly, calculate the time he need to start in order to complete the cooking at 4 P.M.

4h 0m 0s - 1h 51m 45s = 2h 8m 15s

<h3>Conclusion :</h3>
  • He need 111.75 minutes to cook the meal
  • He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
5 0
3 years ago
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
4 years ago
The graph of which function has an amplitude of 3 and a right phase shift of ?
cricket20 [7]

Answer:

The first one

Step-by-step explanation:

The amplitude is usually the first number (for example, in this equation, the 3). Then you also know that the right or left shift depends on the addition or subtraction sign. Usually, the subtraction sign means to the right and the addition sign means to the left.

8 0
3 years ago
Read 2 more answers
39.2 is what percent p of 112
madam [21]
39.2 is what percent p of 112

39.2/112

39.2 ÷ 112 = 0.35

Convert to percent:-

0.35 × 100 = 35
35%

3.92 is 35% of 112.
3 0
4 years ago
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