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Vlada [557]
3 years ago
15

A bag contains 12 red marbles, 5 yellow marbles, and 15 green marbles. How many additional red marbles must be added to the 32 m

arbles already in the bag so that the probability of randomly drawing a red marble is ? Select your answer. 13 18 28 32 40
Mathematics
1 answer:
kakasveta [241]3 years ago
5 0

Answer:

= 18 red marbles

Step-by-step explanation:

Let x be the number of red marbles that must be added

Therefore;

New number or red marbles = x+12

Total marbles will be x+32

Thus;

The probability of selecting a red marble = (x+12)/(x+32)

Therefore;

(x+12)/(x+32)=3/5

5(x+12)=3(x+32)

5x+60+3x+96

2x=36

x=18

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alexandr1967 [171]

Answer:

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Step-by-step explanation:

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3 years ago
How to write 0.624 in expanded form
GalinKa [24]

Answer:

0.6 + 0.02 + 0.004

Step-by-step explanation:

0.624=0.6 + 0.02 + 0.004

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3 years ago
In a direct variation, the constant of proportionality is -3. Which of the following would be its equation?
saw5 [17]

Answer:

C

Step-by-step explanation:

The equation of direct variation is y=kx.

K is the constant of proportionality, which is in this case is -3.

y=-3x

7 0
3 years ago
Find the 6th term of a geometric sequence with t1=5 and r = -1/2
Hoochie [10]
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
   
                 An = (A₀)(r)ⁿ ⁻ ¹ 
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms. 

Substitute the known values to the equation,

                   An = (5)(-1/2)⁶ ⁻ ¹
                   An = -5/32

Hence, the answer to this item is the third choice, -5/32. 
5 0
4 years ago
Mia paints interior walls at a rate of 12\dfrac{\text{m}^2}{\text{h}}12 h m 2 ​ 12, start fraction, m, start superscript, 2, end
Travka [436]

Answer:

2,000\ \frac{cm^{2}}{min}

Step-by-step explanation:

<u><em>The correct question is</em></u>

Mia paints interior walls at a rate of 12 m^2/h. At what rate does she paint in cm^2/min?

Remember that

1\ m=100\ cm

1\ h=60\ min

Convert m^2/h to cm^2/min

substitute the values

12\ \frac{m^{2}}{h}=12\frac{(100)^{2}}{60}=2,000\ \frac{cm^{2}}{min}

7 0
3 years ago
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