Answer:
You buy six newspaper ads & eighteen social media ads.
Step-by-step explanation:
First, we change ads into variables to be more easier to calculate :
Let newspaper = x
Let social media = y
Second, make this variables into an equation, given that you purchase a total of 24 ads :
x + y = 24 (first equation)
Next, given that x = $18.50 & y = $26.50 & spent a total of $588 so you can make another equation :
18.50x + 26.50y = 588 (second equation)
Now, solve this simultaneous equation using elimination or substitution (depends on you) :
substitution =>
x + y = 24 ----------(1)
18.50x + 26.50y = 588 ---------(2)
(1)=> y = 24 - x ------(3)
(3)=>(2) 18.5x + 26.5(24-x) = 588
18.5x + 636 - 26.5x = 588
-8x = -48
x = 6
sub x=6 into(3)
(3)=> y = 24 - 6
= 18
newspaper = x
= 6
social media = y
= 18
Answer:
0, 1.32
Step-by-step explanation:
16cos(t)*sin(t)=4sin(t)
cos(t)=1/4 or sin(t)=0
t=1.32 or 0
Answer:
x=25 or x=0
Step-by-step explanation:
4x(x−25)=0
Step 1: Simplify both sides of the equation.
4x2−100x=0
For this equation: a=4, b=-100, c=0
4x2+−100x+0=0
Step 2: Use quadratic formula with a=4, b=-100, c=0.
x=−b±√b2−4ac over 2a
x=−(−100)±√(−100)2−4(4)(0) over 2(4)
x=100±√10000 over 8
x=25 or x=0
Answer:
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
Step-by-step explanation:
The model equation is given as:
52(18) + x = 1200
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
52($18) + x = $1200
52(18) + x = $1200
Option a is correct
b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.
x = weekly bonus, hence, we have the equation:
$18 + (x)52 = $1200
Option b is wrong
c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.
This is represented as:
$52 + $18(x) = $1200
Option c is wrong
d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
This is represented as :
$52+ $x + $18 = $1200
Option d is wrong.
Therefore, the correct statement that modelled the equation is option a
Answer:
f(x) = x² + 8 - 16x
= x² - 16x + 8
= (x² - 16x + 64) - 64 + 8
= (x + 8)² - 56
