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siniylev [52]
3 years ago
8

Why do you think it might be useful to rearrange formulas before solving for one of the variables? (Relate your answer to the Ce

lsius and Fahrenheit formulas and examples.)
Mathematics
2 answers:
iVinArrow [24]3 years ago
6 0

Answer:

It makes the solution of the equation easier

Step-by-step explanation:

Here we have the formula relating Celsius and Fahrenheit given as follows;

C = \frac{5\times (F - 32)}{9}

From the above Celsius to Fahrenheit equation, we have that to solve for F we rearrange the formula as follows

C =\frac{5F}{9}  - \frac{32\times 5}{9}

Which is the same as

C =\frac{5F}{9}  - 17\frac{7}{9}

It is then seen that rearranging the equation between Celsius and Fahrenheit makes it easier to solve for either °C or °F.

Anastaziya [24]3 years ago
4 0

Answer:

It’s easier to find the solution to a variable when that variable is by itself on one side of the equal sign. Rearranging formulas before substituting values for each variable makes calculations more straightforward. With this approach, we only need to perform operations such as multiplication, division, addition, and subtraction on one side of the equal sign, and we simplify instead of solving by using the properties of equality.

Step-by-step explanation:

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Given the mean 71.4 and sample standard deviation 11.5 what is the z-
Elenna [48]

Answer: 1.18

Step-by-step explanation:

Z = (x - mean) / standard deviation

Z = (85 - 71.4) / 11.5

Z = 13.6 / 11.5 = 1.18

6 0
3 years ago
PLS HELP ME
Tcecarenko [31]

Answer:

The mass of the larger hummingbird is 7 1/2 or 15/2.

Step-by-step explanation:

Bee hummingbird = 1 1/4g

Larger hummingbird = 6x that

So,

1 1/4 x 6 = 7.5

7.5 as fraction = 7 1/2 or 15/2

7 0
3 years ago
Write a quadratic equation in vertex form (use y = a(x - h)^2 +
Neko [114]
It would be f(x) = 2(x+1)^2 + 7, hope this helps :)
4 0
3 years ago
Graph the system of inequalities presented here then use your graph to answer the following questions:
Nookie1986 [14]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is a solution of the system of inequalities (is included in the solution area for the system)

Step-by-step explanation:

Part 1) Graph the system of inequalities

we have

y> 5x+5 ----> inequality A

The solution of the inequality A is the shaded area above the dashed line y=5x+5

The slope pf the dashed line A is positive m=5

The y-intercept of the dashed line A is (0,5)

The x-intercept of the dashed line A is (-1,0)

y>-\frac{1}{2}x+1 ----> inequality B

The solution of the inequality B is the shaded area above the dashed line y=-\frac{1}{2}x+1

The slope pf the dashed line B is negative m=-1/2

The y-intercept of the dashed line B is (0,1)

The x-intercept of the dashed line B is (2,0)

The solution of the system of inequalities is the shaded area above the dashed line A and above the dashed line B

using a graphing tool

see the attached figure

Part B) Is the point (-2, 5) included in the solution area for the system? Justify your answer mathematically

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

substitute the value of x and the value of y in each inequality

For x=-2, y=5

<em>Verify inequality A</em>

5>5(-2)+5

5>-5 ---> is true

so

The ordered pair satisfy inequality A

<em>Verify inequality B</em>

5>-\frac{1}{2}(-2)+1

5>2 ---> is true

so

The ordered pair satisfy inequality B

therefore

The ordered pair is a solution of the system of inequalities (is included in the solution area for the system)

6 0
3 years ago
Ellahas 11 picture books and seven chapter books in a box she gives to third of the books to her younger cousin how many books d
wolverine [178]
The total number of books is the sum of the chapter books and picture books, 11+7 =18

Thus 18 is the total number of books

If she gave away 1/3 of the books, 6 books were given away as 1/3 of 18 is 6

=> Ella gave 6 books to her cousin
5 0
3 years ago
Read 2 more answers
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