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kifflom [539]
4 years ago
11

A bag contains purple and white marbles,82 in total.The number of purple marble is 2 more than 4 times the number of white marbl

es. How many purple marbles are there
Mathematics
1 answer:
defon4 years ago
7 0

There are 66 purple marbles in the bag.

Step-by-step explanation:

Given,

Total number of marbles in bag = 82

Let,

Number of purple marbles = x

Number of white marbles = y

According to given statement;

x+y=82     Eqn 1

The number of purple marble is 2 more than 4 times the number of white marbles.

x=4y+2     Eqn 2

Putting value of x from Eqn 2 in Eqn 1

(4y+2)+y=82\\4y+2+y=82\\5y=82-2\\5y=80

Dividing both sides by 5

\frac{5y}{5}=\frac{80}{5}\\y=16

Putting y=16 in Eqn 2

x=4(16)+2\\x=64+2\\x=66

There are 66 purple marbles in the bag.

Keywords: linear equation, variable

Learn more about variables at:

  • brainly.com/question/1479138
  • brainly.com/question/1485338

#LearnwithBrainly

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What are the first four terms of the sequence modeled by the recursive formula an=an-1+5 when a1=-3?
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Given sequence: a_n=a_{n-1}+5

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We need to find first four terms of the sequence.

We already given first term -3.

Let us find second term a_2.

Plugging n=2.

a_2=a_{2-1}+5 = a_1+5= -3+5 = 2.

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Now, n=4.

a_4=a_{4-1}+5 = a_3+5= 7+5 = 12.

We got terms -3, 2, 7 and 12.

<h3>Therefore, correct option is B) –3, 2, 7, 12.</h3>
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You invested a total of $15,000 at (mixed fraction) 4 1/2% and 5% simple interest. During one year, the two accounts earned $715
Sunny_sXe [5.5K]

The two investments are $7000 and $8000 during one year.

The amount $15,000 invested at 4\frac{1}{2}% and 5% simple interest.

During one year, the two accounts earned $715.

<h3>What is simple interest?</h3>

Simple interest is a method for calculating the amount of interest charged on a sum over a fixed period of time at a given rate.

Let amount x be invested at 4\frac{1}{2}%. Then, amount 15,000-x is invested at 5%.

Now, 4\frac{1}{2}×x+5×15000-x=715

⇒0.045x+0.05(15000-x)=715

⇒0.045x+750-0.05x=715

⇒750-0.005x=715

⇒0.005x=35

⇒x=$7000

Thus, x=$7000 and 15000-x=$8000

Hence, the two investments are $7000 and $8000.

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