Answer:
Step-by-step explanation:
a) Let the width = w
Two times its width = 2*w = 2w
9 inches less than 2w = 2w - 9
Length = 2w - 9
Area of rectangle = length *width = 180 square inches
(2w - 9 ) * w = 180
2w*w - 9*w = 180
2w² - 9w - 180 = 0
b) sum = -9
Product= -360
Factors = -24 , 15 {15 *[-24] = -360 and 15 + (-24) = -9 }
2w² - 9w - 180 = 0
2w² - 24w + 15w - 180 = 0
2w(w - 12w) + 15(w - 12) = 0
(w -12) (2w + 15) = 0
{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}
w - 12 = 0
w = 12 inches
l = 2w -9
= 2*12 - 9
= 24 - 9
l = 15
length = 15 inches
Width = 12 inches
c) Perimeter = 2 *(length + width)
= 2*(15 + 12)
= 2 * 27
= 54 inches
The computer costs $304 now.
Step-by-step explanation:
Given,
Cost of computer = $400
First discount = 20%
Amount of discount = 20% of $400
Amount of discount = 
Amount of discount = $80
Price after first discount = 400-80 = $320
Additional discount = 5%
Amount of additional discount = 5% of price after first discount
Amount of additional discount = 
Amount of additional discount = $16
Final cost = 320-16 = $304
The computer costs $304 now.
Keywords: discount, subtraction
Learn more about subtraction at:
#LearnwithBrainly
For the answer to the question above, I'll provide a solution to my answer below.
(4 / 5) + (3 / x) = (1/2)
<span>x cannot equal 0 </span>
<span>(4x + 15) / 5x = 1/2 </span>
<span>2(4x + 15) = 5x </span>
<span>8x + 30 = 5x </span>
<span>3x = -30 </span>
<span>x = -10
</span>I hope my answer helped you. Feel free to ask more questions. Have a nice day!
1. s<span>olve the proportion k/5=5/125.
First reduce 5/125.
5/125 = 1/25
Now you can cross multiply.
25k = 5
k = 5/25
k = 1/5
</span><span>d) 1/5
2. </span><span>round the answer of 0.4x-0.2=2.5 to two decimal places.
</span>0.4x=2.7
x = 6.75
<span>b) -6.75
3. </span><span>what is the y-intercept of 4x-3y=-12?
The y-intercept is when x = 0.
4(0) - 3y = -12
-3y = -12
y = 4
</span>d) 4
1080 is the answer
Multiplying two negatives equals a positive.
72 multiplied by 15 is 1080.
