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Musya8 [376]
3 years ago
9

The sum of two numbers is 3.1. Twice the large number is 7 more than 3 times the smaller number. What are the numbers?

Mathematics
1 answer:
Degger [83]3 years ago
7 0

Let the two numbers be x and y where x is greater than y.

So;

x + y = 3.1 ... (i)

2x - 3y = 7 ... (ii)

This forms a set of simultaneous equations (i) and (ii)

Solving the simultaneous equations by elimination;

We multiply (i) by 2 and (ii)  by 1 to get:

2x + 2y = 6.2 ... (i)

2x - 3y = 7 ... (ii)

Subtracting (i) - (ii) we get;

5y = -0.8

y = -0.8/5 = -0.16

x = 3.1 - -0.16 = 3.26

The numbers are 3.26 and -0.16.


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un frasco de jugo tiene una capacidad de 3/8 de litro ¿cuantos frascos se pueden llenar con cuatro litros y medio de jugo?
tangare [24]
Tenemos que

la capacidad del frasco es igual a 3/8 de litro
cuatro litros y medio es igual a decir 4 1/2 litros----> (4*2+1)/2----> 9/2 litros

realizamos una regla de tres
 si un frasco tiene capacidad para--------------> 3/8 litros
 X frascos-----------------------------------------> para 9/2 litros
X=(9/2)/(3/8)--------> 72/6-----> 12 frascos

la respuesta es
12 frascos
6 0
3 years ago
At a garden shop, a customer buys 5 geraniums and 4 lilies for $48. Another customer pays $58 for 4 geraniums and 6 lilies. Writ
masha68 [24]

Answer:

A lily costs $7 and a geranium $4.

Step-by-step explanation:

From the question, we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5 g + 4 l = 48

4 g + 6 l = 58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other gives:

20 g + 16 l = 192

20 g + 30 l = 290

Subtract the first equation from the second gives:

14 l = 98  which dividing by 14 gives  l = 7

Substituting the value  l = 7  in the first equation gives:

5 g + 28 = 48

Subtract 20 from both sides gives:

5 g = 20  divide by 5 gives  g = 4

So, a lily costs $7 and a geranium costs $4.

7 0
3 years ago
5$ to get in and 0.80 to ride but he can only spend 25$ how many rides can he get on
Mekhanik [1.2K]
If he starts out with $25 and to enter is $5 then he will be left with $20. 0.80 per ride then he can ride 25 times by diving 20 by 0.80
5 0
3 years ago
Help me on number problem 4 please.
Tresset [83]
The answer is 460 because you have to subtract
3 0
3 years ago
Read 2 more answers
How are common denominator and a common multiple alike and different
Free_Kalibri [48]
East common multiple is the smallest multiple both numbers can go into. (Example: the LCM of 10 and 4 is 20, because both 10 and 4 go into 20 and 20 is the smallest number both 10 and 4 can go into. You could just multiply them both, but you'd get 40 and since its a bigger number it would be harder to work with.)

Least common denominator is just the least common multiple as a denominator. (Example: if you wanted to find the LCD of 5/7 and 1/10, you'd have to find the LCM of the demoniators (7 and 10) and then just use that as the denominator when adding fractions with unlikely denominators.) Sorry for such a long answer :P
6 0
3 years ago
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