Kailynn has been on a roll, and solving 5 math problems every 2.5 minutes. At this rae, how many problem will she solve in 30 mi
1 answer:
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Answer:
Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.
Step-by-step explanation:
Let the number of rainbow sticker be x and number of balloon stickers be y.
Cost a single rainbow sticker= 6 cents
Cost a single balloon sticker= 4 cents
Cost a single x rainbow sticker= 6 cents × x
Cost a single y balloon sticker= 4 cents × y
Total number of stickers bought = 14
x + y =14 ..[1]
Total money spend on stickers = 68 cents
6x cents+4y cents=68 cents
...[2]
Putting value of from [1] into [2];
x = 14 - y
x = 14 -y =14 - 8 = 6
Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.
Assuming a diagram similar to the one I've attached, ∠<em>YVZ</em> is a vertical angle to ∠<em>WVX</em>, which means they have an equal measure. Additionally, ∠<em>WVZ</em> and ∠<em>WVX</em> form a linear pair, which means they are supplementary (sum to 180°). That means we start out with the equation
We combine our like terms (the <em>x</em>'s get combined, then the constants get combined) and have:
Cancel the 9 first by subtraction:
Cancel the 19 by division:
Since we know that our angle we're looking for, ∠<em>YVZ</em>, is the same measure as ∠<em>WVX</em>, we substitute 9 in for <em>x</em>:
8(9)+28=72+28=100°
We combine our like terms (the <em>x</em>'s get combined, then the constants get combined) and have:
Cancel the 9 first by subtraction:
Cancel the 19 by division:
Since we know that our angle we're looking for, ∠<em>YVZ</em>, is the same measure as ∠<em>WVX</em>, we substitute 9 in for <em>x</em>:
8(9)+28=72+28=100°