Answer: The number is 40
Step-by-step explanation:
We will set up an equation where 4/5 is being multiply by the number to get 32. we will represent that number by x
4/5 * x = 32 solve for x
4/5x = 32
0.8x = 32
x = 40
Answer:

Step-by-step explanation:

(simplify)

(Add 3 to both sides)
(simplify)

(Multiply both sides by p)

(Multiply both sides by 2)

(Divide both sides by 7)
An illusionist needs up to 10 volunteers for a show. the illusionist needs no fewer than 4 female volunteers. let x represent the number of femalevolunteers and y represent the number of male volunteers.which inequalities model the situation?select each correct answer.
A- x + y < 10
<span>B- x + y ≤ 10 & </span>x ≥ 4
C- x > 4
D- x ≥ 4
E- y > 0
G- y ≥ 0
Solution :
option "B" is correct. Because the total number of male and female should be upto 10. and the number of female should be equal or greater than 4 but not less than it.
Answer:
6
Step-by-step explanation:
There are two ways to work this out: normal variables or using "imaginary" numbers.
Normal variables:
![(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}](https://tex.z-dn.net/?f=%20%287%2B2i%29%283-i%29%5C%5C%287%2A3%29%2B%5B7%2A%28-i%29%5D%2B%283%2A2i%29%2B%5B2i%2A%28-i%29%5D%5C%5C21-7i%2B6i-2i%5E%7B2%7D%5C%5C%5C%5C21-i-2i%5E%7B2%7D)
Imaginary numbers:
Using the result from earlier:

Now since

, then the expression becomes: