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klio [65]
3 years ago
15

School pennants cost $18 each. Ms. Lee says she will pay $146 for 7 pennants. Is her answer reasonable? Explain.

Mathematics
2 answers:
devlian [24]3 years ago
5 0
Yes, because 18 times 7 = 126. so she will still have $20 left over.<span />
Vika [28.1K]3 years ago
3 0
Im going to say no because 18 multiplied by 7 is equal to 126 when Ms. Lee is buying the pennants for 146
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Determine which numbers the equations can be multiplied by to create opposite terms of the x-variable. 1 2 x − 1 4 y = −3 − 1 3
Julli [10]

In the elimination method one variable is eliminated from the system of equation to find the value of other.

To create the opposite terms of the <em>x</em><em>-</em>variable-

  • First equation be multiplied by the number 12.
  • Second equation be multiplied by the number 13.

<h3>What is elimination method?</h3>

To solve the system of equation and find the value of the variables, the elimination method is used.

In this method one variable is eliminated from the system of equation to find the value of other.

Given information-

The system of equation given in the problem is,

12x-14y=-3         ......1

Let the above equation as equation 1.

The second equation given in the problem is,

-13x+23y=5             ......2

Let the above equation as equation 2.

To eliminate the <em>x</em> term, make the coefficient of <em>x</em> of both the equation equal.

It can be done by multiply the coefficient of <em>x</em> term of first equation to second equation and coefficient of <em>x </em>term of second equation to first equation.

As the coefficient of <em>x</em> of the equation 1 is 12.  Thus multiply second equation with 12. Thus,

12\times(-13x+23y)=12\times5

-156x+276y=60                     ........3

Multiply  equation 1 with -13 to make the coefficient of <em>x</em> opposite. Thus,

13\times(12x-14y)=13\times(-3)\\156x-182y=-39         .......4

Hence, to create the opposite terms of the <em>x</em><em>-</em>variable-

  • First equation be multiplied by the number 12.
  • Second equation be multiplied by the number 13.

Learn more about the elimination method here;

brainly.com/question/7013345

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A 30 feet tall building casts a 5 foot shadow. what is the suns angle of inclination
ohaa [14]

Make a drawing of the situation:

Recalling the tangent trigonometric relationship, if the angle of inclination is A, then:

\begin{gathered} \tan (A)=\frac{30\text{ feet}}{5\text{ feet}} \\ \Rightarrow\tan (A)=6 \end{gathered}

Use the inverse tangent function to find the value of A:

A=\tan ^{-1}(6)

Use a calculator to find the numerical value of the inverse tangent of 6:

A=80.52767779\ldots

Therefore, the angle of inclination of the Sun is approximately 80.5°.

8 0
1 year ago
Titanium-44 is a radioactive isotope such that every 63 years, its mass decreases by half. For a sample of titanium-44 with an i
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Answer:

Function= T=K/M

Mass of Sample after 40 yrs = 31.746032 grams

Step-by-step explanation:

As time increases, the mass decreases, hence it's inverse proportion

T ∝ 1/M

Function = T = K/M

Using direct proportion to evaluate mass after 40 yrs

when T= 63yrs, Mass = 0.5M

When T = 40 yrs Mass = X

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Hence mass after 40 years = 0.3174603(100) = 31.746032 grams

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What is the part and whole of 40% of 20?
pashok25 [27]
The answer is 8

I hope this helps!
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