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Vesnalui [34]
2 years ago
11

How do you write algebraic expressions to model quantities

Mathematics
2 answers:
Rashid [163]2 years ago
7 0
The <u>correct answer</u> is:

We use a <u>variable</u> to represent any unknown value.  Then we look for <u>key words</u> to tell us what operations have been performed.  For example, "<u>sum</u>" indicates <u>addition</u>, "<u>product</u>" is <u>multiplication</u>, "<u>difference</u>" is <u>subtraction</u> and "<u>quotient</u>" is <u>division</u>.  "<u>Is</u>" means <u>equals</u> to.  We pay careful attention to the order in which things are listed in the problem, as we want to write them in the same order algebraically.

<u>For example</u>:

Two more than 3 times a number is 23.

The unknown number will be x.
3 times a number would be 3*x = 3x.
Two more than this means two added to this, which gives us 3x+2.
This "is" 23, so it equals 23:  3x+2=23.
Marina CMI [18]2 years ago
3 0
To write algebraic expressions to model quantities is you base the algebraic expressions or mathematical values declared in words by the manner of how the sentence illustrates the said problem. For example, one minus a number is the difference of zero shall be
1. 1 – n = 0.
Other same examples, John bought 25 apples while Julia bought only 15 from the market. If Niccole bought twice as much as Julia’s, how many was Niccole’s apples? <span><span>
1.      </span>You state the problem by the sequence of the said problem and understanding the possible structure.</span> <span><span>
2.      </span>Solution will be</span> Julia = 15 apples Niccole = 2Julia  
Hence, 2Julia = 2(15) = 30 apples.



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It takes Destiny y 4 hours to file all the daily paperwork. It takes Susan 5 hours to file the same paperwork. If they work toge
Marina86 [1]

Answer: it will take them 2.22 hours working together.

Step-by-step explanation:

It takes Destiny y 4 hours to file all the daily paperwork. This means that unit rate of Destiny would be

1/4 per hour.

It takes Susan 5 hours to file the same paperwork. This means that unit rate of Susan would be

1/5 per hour.

If they work together, they would work at their own individual rates. This means that their individual rates are additive.

Let t represent the time it will take them if they worked together. Since their combined rate is additive Therefore,

1/4 + 1/5 = 1/t

9/20 = 1/t

t = 20/9 = 2.22 hours

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2 years ago
Helen had $330 in her savings account when Vince opened a savings account with zero dollars.
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Step-by-step explanation:

3 0
2 years ago
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Please Help! Riley was determined to be on the basketball team. He started practicing for 40 minutes on the first day, and then
Sati [7]

Answer:

Correct answer:  pt = 7,000 minutes

Step-by-step explanation:

This is arithmetic series:

p₁ = 40 min

p₂ = p₁ + 20

p₃ = p₂ + 20 = p₁ + 2 · 20

p₄ = p₃ + 20 = p₁ + 3 · 20

...........................................

pₙ = p₁ + (n - 1) · 20

25 - th day will be practicing:

p₂₅ = 40 + 24 · 20 = 520 minutes

The total sum of the arithmetic series is calculated according to the following formula:

Sₙ = (n/2) (p₁ + pₙ)

In 25 days he will have practiced total minutes

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pt = 7,000 minutes

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2 years ago
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Baby Amelia's parents measure her height every month.
jonny [76]

The statement H(30) = H(25) + 5 means that, "when Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old"

<h3><u>Solution:</u></h3>

Given that,

Baby Amelia's parents measure her height every month

It is given that H(t) models Amelia's height (in centimeters) when she was "t" months old

Given statement is H(30) = H(25) + 5

So, we can say that H(30) = Amelia's height when she was 30 months old

H(25) = Amelia's height when she was 25 months old

So H(30) = H(25) + 5 means that,

Height of Amelia when she was 30 months old is 5 centimeter more than Amelia height when she was 25 years old

Or we can say that,

When Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old

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