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avanturin [10]
1 year ago
7

Please help i've lost all hope and i dont understand algebra and i will give brainlyest

Mathematics
1 answer:
Margaret [11]1 year ago
4 0

<em>Word problem</em> is a topic that involves <em>interpreting</em> a given <u>statement</u> into a <em>mathematical expression</em>. Thus the answers to the question are:

1. r + 2 = 2r

   r = 2

2. d = st

3. b = 4r

    There are 9 red cards in the <u>pile</u>.

<em>Word problem</em> is a topic that involves <u>interpreting</u> a given <u>statemen</u>t into a <em>mathematical expression</em>. This often requires <u>representing</u> the <em>unknown</em> in the <em>statemen</em>t by an <u>alphabet.</u> So that the <u>value</u> that the <em>alphabet</em> represents is to be determined.

<em>Word problems</em> can be easily interpreted a <u>sentence</u> at a time. And it usually gives an <em>algebraic expression</em>.

In the given question, we have:

a) The sum of a number and two is twice the number.

Let the number be represented by <u>r</u>, we have;

                          r + 2 = 2r

So that by collecting like terms,

            2r - r = 2

             r = 2

b) Lorrae swims laps at a constant speed, s, for 2 hours.

The speed, s, of an <u>object</u> is the rate of the <u>distance</u> moved, d, to the <u>time</u> taken, t.

i.e   speed, s,  = \frac{distance}{time taken}

So that,

distance = speed * time taken

This implies that,

              d = s * t

              d = st

c) The number of black cards in a pile is 4 times the number of red cards. There are 36 black cards in the pile.

Let the <u>number</u> of black cards be represented by <u>b</u>, and that of <em>red cards</em> be r.

So that;

                               b = 4r

Given that b = 36, then;

      r = \frac{36}{4}

        = 9

There are 9 <em>red cards</em> in the <u>pile</u>.

For more clarifications on word problems, visit: brainly.com/question/10731035

#SPJ1

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