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alekssr [168]
3 years ago
12

The sum of two numbers is 50. The first number is 43 less than twice the second number. Write and solve a system of equations to

find the two numbers.
Mathematics
1 answer:
postnew [5]3 years ago
8 0

Answer:

a + b = 50

a = 2b - 43

2b - 43 + b = 50

     +43         +43

3b = 93

b = 31

(31 x 2) - 43 = 19

a = 19   b = 31

31 + 19 = 50

Step-by-step explanation:

You might be interested in
From 1960 to 2010, a certain money stock measure was growing at the rate of approximately 43e(1/2)x billion dollars per decade,
natulia [17]

Answer:

1222 billion dollars.

Step-by-step explanation:

To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:

In the period 1960-1970, we have x = 1, and the growth is:

y(1) = 43e(1/2) = 70.895

In the period 1970-1980, we have x = 2, and the growth is:

y(2) = 43e(2/2) = 116.8861

The growth in the following 3 periods are:

y(3) = 43e(3/2) =192.7126

y(4) = 43e(4/2) = 317.7294

y(5) = 43e(5/2) =523.8472

So the total growth in the period 1960 - 2010 is:

Total = y(1) + y(2) + y(3) + y(4) + y(5)

Total = 70.895 + 116.8861+192.726+317.7294+523.8472

Total = 1222.08\ billion\ dollars

Rounding to the nearest billion dollars, we have a total of 1222 billion dollars.

6 0
3 years ago
I need help on this the full answer
Elan Coil [88]

Answer:

t > 3

Step-by-step explanation:

1 hour = 194

582 / 194 = 3

She needs to ride for 3 hours to burn 582 calories

She needs to ride for more than 3 hours to burn more than 582 calories

5 0
3 years ago
3/4 of the weight of a bunch of grapes is equivalent to 3/5 of the weight of a papaya. If the grapes way (X +28) pounds what is
Margaret [11]
Let p = weight of papaya and g = weight of grapes.

Then (3/4)g = (3/5)p.  Since the weight of grapes is x + 28, 

(3/4)(x + 28) = (3/5)p.  We must solve for x.  To do this, mult. both sides by (5/3):

(5/3)(3/4)(x+28) = (5/3)(3/5)p

Then p = (15/9)(x+28), or (after reduction), p = (5/3)(x+28).


4 0
3 years ago
Can someone plz help!!!!!
kakasveta [241]

Answer:

17. 15

18. 8(this one I'm not sure tho what does the right one say)

19. 32

20. 5

5 0
3 years ago
Write an inequality and solve
salantis [7]

Answer:

n, the integer;

8+6n< -42

7 0
3 years ago
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