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lana66690 [7]
3 years ago
11

Combine like terms to create an equivalent expression.

Mathematics
2 answers:
Alja [10]3 years ago
8 0

Answer:

2/3q + 7/12

Step-by-step explanation:

Find common Denominator

Common Denominator 12, 6, 3 =  12

Convert Each Term To Have Common Denominator

11/12 - 2/12q + 10/12q - 4/12

Combine Like Terms

11/12 - 4/12 = 7/12

-2/12q + 10/12q = 8/12q → 2/3q

Write Equation

2/3q + 7/12

sladkih [1.3K]3 years ago
6 0

Answer:

7/12+4/6q

Step-by-step explanation:

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
svp [43]

Answer:

Step-by-step explanation:

This is exponential, of the form

y=a(b)^x where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.

If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is

y=1200(.97)^x

6 0
3 years ago
Can someone help me with these two questions?
fenix001 [56]

Answer:

17) A(-1,1) B(-1,4) C(5,1)

18) (From origin moving rightwards)

     A(0,0) B(a, 0) C(a,a) D(0,a)

Step-by-step explanation:

17) You just count the steps, how many steps left, right, up, or down

18) The first point is at the origin, so 0,0

    The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.

     The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.

      The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.

5 0
3 years ago
What is the common denominator of 3 5 and 4 10
Ahat [919]

Answer:

3 and 5, 15; 4 and 10, 20

Step-by-step explanation:

The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.

5 0
3 years ago
How does the rate of change vary from point to point?
Tpy6a [65]

\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{28}~,~\stackrel{y_1}{16})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-16}{16-28}\implies \cfrac{-4}{-12}\implies \boxed{\cfrac{1}{3}}

8 0
3 years ago
What is true of the data in the dot plot? Check all that apply. Number of Minutes for Each Commercial Break A dot plot going fro
Natasha2012 [34]

Answer:

The center is 3

The peak is 5

The spread is from 1 to 5.

There were 14 commercial breaks.

Step-by-step explanation:

Edg

5 0
4 years ago
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