Set up a proportion and solve for x.

Mathematics

1 answer:

kotykmax [81]3 years ago

6 0

30x11 is 330.

300mins

Sorry i'm a little tired, if you want ask me how i got it and show my work in the comments. Thanks u

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Find two consecutive positive intergers such that the square of the smaller interger is nineteen more than five times the larger

Naddika [18.5K]

Answer:

8 and 9

Step-by-step explanation:

Let the two consecutive integers be x - 1 and x

Smaller = x-1

Largere = x

If the square of the smaller integer is nineteen more than five times the larger integer, then;

(x-1)² = 19 + 5x

Expand

x²-2x+1= 19+5x

x²-2x-5x+1-19 -0

x²-7x-18 =0

Factorize

x²-9x+2x-18 =0

x(x-9)+2(x-9) = 0

(x+2) = 0 and x - 9 = 0

x = -2 and 9

SInce x cannot be negative;

x = 9

Smaller number = 9-1

Smaller number = 8

Hence the two consecutive integers are 8 and 9

6 0

3 years ago

When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the t

Bad White [126]

Solution :

If $S_n$ is the total spending generated after n transactions, then $a_n$ is the spending generated during the n-th transaction. Since the government spends D dollars, then $a_1$ = D.

Then the second person will receive D dollars and spend $D_c$ dollars. Therefore, $a_2=D_c$ . The next person will receive $D_c$ dollars, which means they are spending $a_3 = (D_c)c = Dc^2$ dollars. Therefore,