A varies inversely as the square of b. If a is 1 when b is 4, find a when b is 4.<br> with solution

Anna is weighing packages she is going to mail. They weigh 15.6 ounces, 13.25 ounces, 8.6 ounces, 9.75 ounces, and 18.23 ounces.

ella [17]

Estimation- 16 plus 13 plus 9 plus 10 plus 18= 66 ounces
Exact- 65.43 ounces

6 0

3 years ago

Which ordered pairs are solutions to the inequality

Kipish [7]

Answer:

(1,-1)

(7,12)

(5,-3)

Step-by-step explanation:

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality

we have

$y-2x \leq -3$

Verify each case

case 1) we have

(1,-1)

substitute the value of x and the value of y in the inequality and then compare the results

$-1-2(1) \leq -3$

$-3 \leq -3$ ----> is true

therefore

The ordered pair is a solution of the inequality

case 2) we have

(7,12)

substitute the value of x and the value of y in the inequality and then compare the results

$12-2(7) \leq -3$

$-12 \leq -3$ ----> is true

therefore

The ordered pair is a solution of the inequality

case 3) we have

(-6,-3)

substitute the value of x and the value of y in the inequality and then compare the results

$-3-2(-6) \leq -3$

$9 \leq -3$ ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 4) we have

(0,-2)

substitute the value of x and the value of y in the inequality and then compare the results

$-2-2(0) \leq -3$

$-2 \leq -3$ ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 5) we have

(5,-3)

substitute the value of x and the value of y in the inequality and then compare the results

$-3-2(5) \leq -3$

$-13 \leq -3$ ----> is true

therefore

The ordered pair is a solution of the inequality

6 0

3 years ago

A pool a possible candidate for a student council consists of 14 freshmen and 8 softwares how many different councils consisting

Andreas93 [3]

The different councils consisting of 5 freshmen and 7 sophomores are possible 9216.

We have given that,

A pool of possible candidates for a student council consists of 14 freshmen and 8 software.

We have to determine the how many different councils consisting of 5 freshmen and 7 sophomores are possible

<h3>What is the combination?</h3>

$_n C_r=\frac{n !}{r ! (n-r) !}_n C_r = number of combinations\\\n = total number of objects in the set\\\r = number of choosing objects from the set$

The total number of the council is

$_{10} C_5\times _9 C_7$

=252(36)

=9216

The different councils consisting of 5 freshmen and 7 sophomores are possible 9216.

To learn more about the probability visit:

brainly.com/question/24756209

#SPJ1

6 0

2 years ago

What is the solution set for 3(1−r) −7 <br> r 7

frozen [14]

Answer:

-25

Step-by-step explanation:

3(1−7)−7

5 0

3 years ago

Read 2 more answers

Flying against the wind a jet travels 5040 miles in 8 hours flying with the wind the same jet travels 6780 miles in 6 hours. Wha

noname [10]

Answer:

(Wind speed: 81,000) and (Rate of the jet in still air: 11,820)

Step-by-step explanation:

We know that 5040 times 8 is 40320.

And 6780 times 6 is 40680.

Then, add them together and the rate of the wind is 81,000.

The rate of the jet, add them (6780 plus 5040) and you'' get 11,580.

8 0

3 years ago

A varies inversely as the square of b. If a is 1 when b is 4, find a when b is 4. with solution