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Andreas93 [3]
3 years ago
12

Solve the equation: 9 (x − 9)−3 = −4 (2x + 4) 4 -4 100 68

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:


Step-by-step explanation:

Applying BODMAS here;

We first solve what is in the brackets:

9x - 81 -3 = -8x - 16

We then put the like terms together:

9x + 8x = -16 + 81 + 3

We then do the addition:

17x = -16 + 84

We then do the subtraction:

17x = 68

Simplifying this gives:

x = \frac{68}{17} = 4

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Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller numbe
kicyunya [14]

Answer: Smaller number = 6

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

Let the larger number be y.

Three times a larger number is 30 more than 5 times a smaller number. This will be:

3 × y = (5 × x) + 30

3y = 5x + 30 ...... i

The sum of the larger number and 5 times the smaller number is 50. This will be:

y + 5x = 50 ...... ii

From equation ii

y + 5x = 50.

y = 50 - 5x ...... iii

Put the value of y = 50 - 5x into equation i

3y = 5x + 30

3(50 - 5x) = 5x + 30

150 - 15x = 5x + 30

150 - 30 = 5x + 15x

120 = 20x

x = 120/20

x = 6

The smaller number is 6

Note that y + 5x = 50

y + 5(6) = 50

y + 30 = 50

y = 50 - 30

y = 20

The bigger number is 20

7 0
3 years ago
3x • 3y + 8 when x = 3, y = 2
bonufazy [111]

Answer:

62

Step-by-step explanation:

Substitute x by 3 and y by 2

3*3*3*2+8=62

8 0
3 years ago
a country's population in 1990 was 242 million, in 1999 it was 244 million. estimate the population in 2013
Free_Kalibri [48]

Answer:

247.12 million

Step-by-step explanation:

Given:

In 1990, population=242 million

In 1999, population=244 million

estimated population in 2013=?

Estimated growth is calculated by:

P(t)= Po*e^(kt)

where Po is original population

k is growth rate

t is the time in year

Now putting the values of Po=242, P(t)=244, t=9 (t=1999-1990=9) we have:

244=242e^(9k)

(244/242)=e^(9k)

ln(244/242)=9k

k=1/9ln(244/242)

k=0.00091

Now Putting k=0.00091, Po=242, and t=23 (t=2013-1990=23) we have:

P(t)=242e^(23*0.00091‬)

P(t)=247.12 million

the population in 2013 estimated to be 247.12 million!

3 0
3 years ago
SELECTED RESPONSE Select the correct answer. The tip for excellent service in a restaurant is $20 for every $100 of the meal. Wh
Vikki [24]

Answer: total bill=1bill

i think there will be only one bill

Step-by-step explanation:

because all the amount will be writen on thee same bill

4 0
3 years ago
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dezoksy [38]

Answer:

a, d, e

Step-by-step explanation:

7 0
3 years ago
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