Acommunity action committee is planning a block party. the party will be successful only if at least 70 adults and children attend. their budget for the party is $1,000, the cost for each adult will be $15, and the cost for each child will be $4. which system of inequalities models this situation?

a. a + c ≥ 70; 15a + 4c ≤ 1000
b. a + c ≤ 70; 15a + 4c < 1000
c. a + c ≥ 1000; 15a + 4c ≤ 70
d. a + c ≤ 70; 15a + 4c ≥ 1000

A. a + c ≥ 70; 15a + 4c ≤ 1000

Step-by-step explanation:

Given data:

A community action committee is planning a block party

The party will be successful if at least 70 adults (a) and children (c) attend

Their budget for the party is $1,000

The cost for each adult will be $15

And the cost for each child will be $4

Solution:

At least 70 adults and children attend.

So the inequality here is a + c ≥ 70

The budget for the party is $1,000.

So the cost for all adults plus the cost for all children cannot exceed $1,000

And hence the inequality here is; 15a + 4c ≤ 1,000

answer: 7 x 2/5 = 2.8 hours, is your answer. your welcome! : 3

step-by-step explanation: first work out how long it took to hose 1/7 of the lawn which is 2/5 hours. times that by 7 to get the whole lawn.

sorry i don't know the other answer. i didn't learn what a proportional relationship is.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.