Ashop sells chocolate, vanilla and strawberry ice creams. 45% of the ice creams sold are vanilla , and 17% are strawberry. what percentage are chocolate?

38% are chocolate

Step-by-step explanation:

If a shop that sells ice cream only has chocolate, vanilla and strawberry flavors, then the total percentage of ice cream they sell should add up to 100%.  Since 45% sold are vanilla and 17% sold are strawberry, we can find the percentage of chocolate by subtracting these values from our total of 100%:

100 - 45 - 17 = 38

So, the remaining 38% of ice cream sold must be chocolate.  

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

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: