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Tamiku [17]
3 years ago
14

The difference of a number divided by 3 and 9 is equal to 8 .

Mathematics
1 answer:
padilas [110]3 years ago
8 0
<span>two divided by the difference of a number and 3 minus 4 divided by a number plus 3, equals 8 times the reciprocal of the difference of the number squared and 9.

let x=number
2/(x-3)-4/(x+3)=8/(x^2-9)=8/(x+3)(x-3)

LCD: (x+3)(x-3)
2(x+3)-4(x-3)=8
2x+6-4x+12=8
-2x+18=8
-2x=-10
x=5</span>
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In a test, +3 marks are given for every correct answer and -1 are given for every incorrect answer (i) Sona scored +20 marks tho
e-lub [12.9K]

Answer:

10 incorrect answers

Step-by-step explanation:

Correct answer = +3

Incorrect answer = - 1

Mark scored = 20

Number of correct answers = 10

Let:

Incorrect answers = y

Hence, we can fashion out the expression for total score :

(Number of correct answers * score per Correct answer + number of incorrect * score per incorrect) = total score

(10 * 3) + (y * - 1) = 20

30 - y = 20

-y = 20 - 30

-y = - 10

y = 10

10 incorrect answers

4 0
3 years ago
On each of 3 days Derrick rode 6.45 km to school 150 meters to the library and then 500 m back home how many km did he ride for
KengaRu [80]
Derrick rode 21 total km. 

You can find this by adding the 3 distances together and multiplying by 3. Also remember to watch the units as 500m = .5km. 
5 0
4 years ago
Find the height of the tree
Kipish [7]

Answer:

im guessing 15

Step-by-step explanation:

6 0
3 years ago
Jamal is 12 years older than twice Stephanie’s age. The sum of their ages is 45. A. If Stephanie’s age is represented by x, writ
amm1812

Answer:

Jamal's age = 2×x+12= 2x+12

sum og ages = 45

2x+12+x= 45

=3x+12=45

=45-12= 3x

= 32=3x

x= 32/3= 10.67

2x+13 =21.34+12= 33.34

hope.ot helps

plz mark as brainliest

4 0
3 years ago
Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
german

Answer:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

V=\frac{1}{3}\pi r^2 h

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

8 0
3 years ago
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