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Phoenix [80]
2 years ago
5

How do you write algebraic expressions to model quantities?

Mathematics
1 answer:
Korolek [52]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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1. Keeping in mind the rules for significant digits, if we multiply 11.55 by 2.5, how many significant digits are we allowed to
kherson [118]
1. For multiplication and division), we first compare the number of significant figure (let's call it SF later in the problem) that the factors have. The product will have the least numbers between them. So, for the case of 11.55 x 2.5, 11.55 has 4 SF while 2.5 has 2. So we choose the smallest which is 2 for this case. Hence, the answer is B. 2. Using the same rules as mentioned in Item 1, we first compare the number of SF in the numbers give. 975.0321 has 7 SF while 0.0003 has 1 (all zeroes not following a counting number are not significant). We now solve for the quotient and round it off to 1 SF. (975.0321/0.0003) = 3250107. Rounding it off, we have 3000000 or 3 x 10⁶. Thus, the answer is D. 3. The rules for multiplication still apply even for more than two factors. So, let's first take note of the SF present in each factor as shown below. 0.00147 = 3 SF 8.314 = 4 SF 7.100 = 4 SF (zeroes after a counting number in the decimal place are considered significant) From this, we can see that the product must round off to 3 SF. Multiplying the three numbers, we have 0.00147 x 8.314 x 7.100 = 0.086773218 So, the product rounded off to 3 SF is 0.0868 or 8.68 x 10⁻². So, the answer must be C<span>. </span>
4 0
2 years ago
Which expression is equivalent to the equation?
IrinaK [193]

Answer:

Option 1

Step-by-step explanation:

The given equation equals 3072, so find the other equation that equals 3072.

Option 1 = 3072 - correct

Option 2 = 432 - wrong

Option 3 = 2883 - wrong

Option 4 = 432 - wrong

I hope this helps!

4 0
1 year ago
Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square y
svetoff [14.1K]
Given triangle KLM with two sides given as 45 yd and 20 yd and a 25 degree angle opposite the 20 yd side.

We find the angle made at the opposite of the 45 yd side using the sine rule as follows.
\frac{\sin{A}}{a} =  \frac{\sin{B}}{b}  \\  \frac{\sin{25^o}}{20} = \frac{\sin{B}}{45}  \\ \sin{B}= \frac{45\sin{25^o}}{20} = \frac{19.0178}{20} =0.9509 \\ B=\arcsin{(0.9509)}=71.97^o

Thus, the third angle is given by 180 - 25 - 71.97 = 83.03 degrees.

We also use the sine rule to find the third side of the triangle as follows.
\frac{\sin{A}}{a} = \frac{\sin{C}}{c} \\ \frac{\sin{25^o}}{20} = \frac{\sin{83.03^o}}{c} \\ c= \frac{20\sin{83.03^o}}{\sin{25^o}} = \frac{19.8522}{\sin{25^o}} =46.97 yds

Therefore, amount of fencing needed to surround the perimeter of the picnic area = 45 + 20 + 46.97 = 111.97 ≈ 120 yds
6 0
2 years ago
Read 2 more answers
one slice of cheese pizza contains 260 calories. a medium-size orange has one-fifth that number of calories. how many calories a
Flura [38]
1/5 •260=52 calories
8 0
2 years ago
Suppose a marketing company computed a 94% confidence interval for the true proportion of customers who click on ads on their sm
Ksivusya [100]

Answer:

d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

Step-by-step explanation:

Confidence interval:

x% confidence

Of a sample

Between a and b.

Interpretation: We are x% sure(or there is a x% probability/chance) that the population mean is between a and b.

In this question:

I suppose(due to the options) there was a small typing mistake, and we have a 98% confidence interval between 0.56 and 0.62.

Interpreation: We are 98% sure, or there is a 98% chance, that the true population proportion of customers who click on ads on their smartphones is between 0.56 and 0.62. Option d.

3 0
2 years ago
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