Give the algebraic expression
1 five less a number is 15
2 a number increased by 12 is less than 25
3 twice a number decreased by 5 greater than 47
4 four times the sum of 8 and a number is eighty-eight
5 two thirds of a number is seventy two
6 a number is added to 15 is negative eight
7 forty-eight subtracted from a number is sixty-two
8 ten divided by twice a number is less than one fourth
9 twice a number reduced by one third of the same number is 28
10 two more than twice a number is thirty-eight
11 four times a number increased by 8 is 20
12 six times a number is added to nineteen the result is 79
13 the difference between six times the number and eight is greater than fifteen
14 the sum of the consecutive integers is 29
15 the sum of two consecutive even integers is forty-six

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2