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2 years ago

How do you write algebraic expressions to model quantities

2 answers:

7 0

The correct answer is:

We use a variable to represent any unknown value. Then we look for key words to tell us what operations have been performed. For example, "sum" indicates addition, "product" is multiplication, "difference" is subtraction and "quotient" is division. "Is" means equals 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.

For example:

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? 
1. You state the problem by the sequence of the said problem and understanding the possible structure. 
2. Solution will be Julia = 15 apples Niccole = 2Julia
Hence, 2Julia = 2(15) = 30 apples.

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A dog has dug holes in diagonally-opposite corners of a rectangular yard. One length of the yard is 8 meters and the distance be

LUCKY_DIMON [66]

For a better understanding of the solution provided please go through the diagram in the file attached.

Let ABCD be the rectangular yard. The diagonal d=17 meters. AD=8 meters. Therefore, the length of DC can be found by applying the Pythagorean theorem in the right triangle $\Delta ADC$ as:

$DC=\sqrt{17^2-8^2}=\sqrt{(AC)^2-(AD)^2}=\sqrt{225} =15$ meters.

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1 year ago

part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

5 0

2 years ago

Find 3 rational numbers between ¼ and ½

ozzi

Answer:

5/16 and 3/8 are two

Step-by-step explanation:

idk a third

8 0

1 year ago

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month

Grace [21]

<h2>Answer with explanation:</h2>

A. For males, Third quartile =14, First quartile = 3 (approx)

IQR = Third quartile - First quartile

= 14-3 = 11

B. For males, Median = 12

For females, Median = 17

The difference between the median values = 17-12=5

C. The mean would be a better measure of center for females because the data has no outliers.

The median would be a better measure of center for males because the data has outliers.

D. Reason for outlier: A large number of males gone for movie which is extreme value for the remaining values.

8 0

1 year ago

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What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?

Marat540 [252]

F(x) = 6x² + 5 - 42x

first step in writing the f(x) in vertex form? WRITE THE FUNCTION IN STANDARD FORM.

f(x) = 6x² - 42x + 5

Exponents must be in decreasing order.

7 0

1 year ago

Read 2 more answers