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qwelly [4]
3 years ago
11

Show work for each abcd

Mathematics
1 answer:
Musya8 [376]3 years ago
4 0
Here’s what i got :)

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Alan used the expression StartFraction 5 over 9 EndFraction (F minus 32), where F is a temperature in degrees Fahrenheit, to con
Ymorist [56]

C=\frac{5}{9} (F-32)     [C = Celsius    F = Fahrenheit]

Alan found 45°F = -7°C, his work:

C=\frac{5}{9} (F-32)=\frac{5}{9} (45-32)=25-32=-7

So he distributed 5/9 into (45 - 32), but he only distributed it to 45. It would've been:

C=\frac{5}{9} (45-32)=(\frac{5}{9} )45+(\frac{5}{9} )(-32)=25-\frac{160}{9} =\frac{65}{9}

What error did Alan make?

#1: He substituted 45 for F instead of –7 and should have found the answer to be Negative 21 and two-thirds degrees Celsius.

This is wrong because he used 45 degrees Fahrenheit, not -7 degrees Fahrenheit.

#2: He did not combine within the parentheses first before multiplying and should have found the answer to be 7 and StartFraction 2 over 9 EndFraction degrees Celsius.

This is right because he should've combined inside the parentheses first before multiplying the fraction.

C=\frac{5}{9} (45-32)=\frac{5}{9} (13)=\frac{65}{9} =7\frac{2}{9}

#3: He multiplied 45 by the fraction incorrectly and should have found the answer to be 49 degrees Celsius.

This is wrong because 45 multiplied by the fraction does = 25

#4: He divided 5F by 9 before subtracting 32 and should have found the answer to be 21 and StartFraction 4 over 9 EndFraction degrees Celsius.

This is wrong because he didn't do this

4 0
4 years ago
Read 2 more answers
Find the value of x that makes each parallelogram the given type (answer both please)
alekssr [168]

Answer:

a. x = 12

b. x = 4

Step-by-step explanation:

a. RECTANGLE

ABCD is a rectangle, AC and BD are its diagonals.

Diagonals of a rectangle are congruent.

Therefore,

AC = BD

10x + 8 = 9x + 20

10x - 9x = 20 - 8

x = 12

b. RHOMBUS

Diagonal of a rectangle bisect opposite angles.

Therefore,

(5x + 3)° = (2x + 15)°

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

3 0
3 years ago
Read 2 more answers
Can someone help me with this ?
3241004551 [841]

Answer:

Step-by-step explanation:

3 0
2 years ago
May someone who is great in math please give me the right answer please
Marizza181 [45]
Median = (23+29)/2
 = (52)/2
 = 26/1
 = 26
5 0
4 years ago
The mean of 4 test scores is 90. What is the sum of the scores?
shepuryov [24]
360. 
A general rule of thumb when dealing with questions like these is using the following equation:

(number of numbers) x (mean) = sum of numbers

Proof/Example: 7, 10, 13
There are 3 numbers here and the mean is 10. Multiply them together and you will get 30, just as you will get 30 from adding them together. 

In this case, there are 4 numbers and the mean is 90, so 4 x 90 = 360.
5 0
4 years ago
Read 2 more answers
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