SO x plus 17 are equal to 32. That means you know that 17 plus some unknown number can equal 32. To find this number, simply subtract 17 on both sides. This will get you x=15. Hope it helps.
Answer:
Tom has 70 cards, and Harry has 28 cards.
Step-by-step explanation:
Let h = number of cards Harry has.
Then the number of cards Tom has is 2 1/2 * h = 2.5h.
Together they have 2.5h + h = 3.5h number of cards.
Together they have 98 cards.
3.5h = 98
h = 98/3.5
h = 28
Harry has 28 cards.
Tom has 2.5h = 2.5 * 28 = 70
Answer: Tom has 70 cards, and Harry has 28 cards.
Answer:
The slope of AB is undefined; the slope of CD is 0; The lines are perpendicular.
Step-by-step explanation:
Line AB would form a vertical line. Slope is Δy/Δx. To go from 3 to 7 (the y-coordinates) you need to go up 4 units. So we would then have Δy/Δx = 4/Δx. To go from -5 to -5 (the x-coordinates) we have to go left or right 0 units. So, Δy/Δx = 4/Δx = 4/0. Anything divided by 0 is undefined. <em>Remember: vertical lines always have an undefined slope.</em>
Line CD would form a horizontal line. To go from 9 to 9 (the y-coordinates) you need to go up or down 0 units. So, Δy/Δx = 0/Δx. To go from 1 to -10 (the x-coordinates) you need to go down 11 units. So Δy/Δx = 0/Δx = 0/1. 0 divided by anything is 0. <em>Remember: horizontal lines always have a slope of 0.</em>
If you picture a horizontal line and a vertical line intersecting, they would both form a right angle when they intersect. By definition, this would make both lines perpendicular.
Well, $415.80 is the 100% price.
If we want 20% off of this price, we would need the 80% value of $415.80
80% of 415.80 = $332.64
Hope this helps!
Answer:
<em>$</em><em>420</em>
Step-by-step explanation:
<em>Principal</em><em> </em><em>=</em><em> </em><em>$</em><em>7000</em>
<em>Rate</em><em> </em><em>=</em><em> </em><em>8</em><em>%</em>
<em>Time</em><em> </em><em>=</em><em> </em><em>9</em><em> </em><em>months</em>
<em>9</em><em> </em><em>months</em><em> </em><em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>or</em><em> </em><em>0.75</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>year</em>
<em>Simple</em><em> </em><em>Interest</em><em> </em><em>=</em><em> </em><em>Principal</em><em> </em><em>*</em><em> </em><em>Rate</em><em> </em><em>*</em><em> </em><em>Time</em><em> </em><em>÷</em><em> </em><em>100</em>
<em>=</em><em> </em><em>$</em><em>7000</em><em> </em><em>*</em><em> </em><em>8</em><em>%</em><em> </em><em>*</em><em> </em><em>0.75</em><em> </em><em>÷</em><em> </em><em>100</em>
<em>=</em><em> </em><em>$</em><em>420</em>
