1) An online store has the following advertisement on there homepage.
"FREE Standard Shipping when you spend $75 or more!"
You have already spent $24 shopping online for clothes.
a) Write and solve an inequality to represent the additional amount you must
spend to get free shipping.
b) You find a pair of shoes that cost $51. Will the clothes and the shoes be
enough to get free shipping? Explain.

Step-by-step explanation:

Part a)

$24 + x ≤ $75 models this situation.  We solve for x by subtracting $24 from both sides, which results in x ≤ $51.  This $51 is the additional amount you must spend so as to get free shipping.

Part b) Will you get free shipping if you've already spent $24 on clothing and now spend $51 for this pair of shoes?  Combine these purchases into one, which raises the bill to $51 + $24, or $75.  Is  

the above inequality true when the total cost of the purchases is $75?

$24 + x ≥ $75   is   true when we let x = $75.  

$24 + $75 ≥ $75.

Yes, these purchases qualify for free shipping.

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1