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Georgia [21]
2 years ago
8

How do you rewrite 1/27 as an expression with a negative exponent​

Mathematics
1 answer:
krek1111 [17]2 years ago
4 0

Answer:

3^-3

Step-by-step explanation:

27 = 3^3

so

1/ 27= 1 / 3^3 = 3^-3

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the frame of a picture is 28 cm by 32 cm outside and is of uniform width.What is the width of the frame if 192 cm2 of the pictur
natita [175]

Answer:

The width of the frame is equal to 8\ cm  

Step-by-step explanation:

Let

x-------> the width of the frame picture

we know that

(28-2x)(32-2x)=192    

896-56x-64x+4x^{2} =192

4x^{2}-120x+704=0  

Simplify

x^{2}-30x+176=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-30x+176=0

so

a=1\\b=-30\\c=176

substitute in the formula

x=\frac{30(+/-)\sqrt{(-30)^{2}-4(1)(176)}} {2(1)}

x=\frac{30(+/-)\sqrt{196}} {2}

x=\frac{30(+/-)14} {2}

x=\frac{30+14} {2}=22\ cm  ----> this solution is not logic

x=\frac{30-14} {2}=8\ cm  

The width of the frame is equal to 8\ cm  

8 0
3 years ago
Kaylie had $1250 in her saving account. She withdrew $82 each month in order to pay for a summer vacation. How much did Kaylie h
kondaur [170]
$594 would be your answer :)
3 0
3 years ago
Can someone help me please
zvonat [6]

Step-by-step explanation:

you can follow the same procedure for others

8 0
3 years ago
What value of c makes the equation -3c/4=24 true ?
Sonbull [250]
Creo que C es igual a -6
4 0
3 years ago
Read 2 more answers
1/4 of 24 on tape diagram
Lemur [1.5K]
Draw the tape diagram: a long rectangle and divide it into 4 squares in a row.The whole rectangle represents 24 (as a whole number), you're dividing it into 4 parts because you want to know what is 1/4 of it.Now, to find the value of each square: 24:4 = 6.Put the number 6 in each square, and you have found your result.1/4 of 24 is 6.

8 0
3 years ago
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