For the final days before the election, the campaign manager has a total of $41,500 to spend on tv and radio campaign advertisements. each tv ad costs $3000 and is seen by 10,000 voters, while each radio ad costs $500 and is heard by 2000 voters. ignoring repeated exposures to the same voter, how many tv and radio ads will contact 148,000 voters using the allocated funds?

 9 TV ads and 29 radio ads will contact 148,000 voters using the allocated funds .

Step-by-step explanation:

Let x denotes the number of users of TV ads and y denotes the number of radio ads.

Then by considering the given information, we have the foolowing system of equation:-

Multiply 4 on both sides of equation (2) , we get

Subtract (1) from (3) , we get

Put x= 9 , in (2), we get;

Hence, the number of TV ads will be 9 and the number of radio ads will will be 29.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.