mkim2290
07.10.2021 •
Mathematics
Match the proper noun to the common noun.
1. Uncle Peter
automobile
2. January
president
3. Jesse Owens
relative
4. William Shakespeare
author
5. Sunday
athlete
6. Abraham Lincoln
month
7. Chrysler
day
X
Solved
Show answers
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Ответ:
january-month
jesse owens-athlete
william shakespeare-author
sunday-day
chrysler-automobile
Ответ:
Ответ:
Step-by-step explanation:
X = cost of PB
Y = cost of J
6X + 4Y = 1932 <--- price is in pennies
5X + 3Y = 1567 <--- price in pennies
Dividing everything in the first equation by 2:
3X + 2Y = 966 <--- price is in pennies
5X + 3Y = 1567 <--- price in pennies
Elimination method... let's multiply the first equation by 3 and the second equation by -2.
9X + 6Y = 2898
-10X + -6Y = -3134
-X = -236
X = 236 --> so the price of the PB is 236 pennies or $2.36
Plugging into the second equation as the numbers are a bit smaller,
5X + 3Y = 1567
5(236) + 3Y = 1567
1180 + 3Y = 1567
3Y = 387
Y = 129. So the price of the jelly is 129 pennies or $1.29.
Now we check: 4 x $1.29 + 6*2.36 = $19.32
3 x $1.29 + 5 x 2.36 = $15.37
The answers are verified and highlighted in bold.
6X + 4Y = 1932 <--- price is in pennies
5X + 3Y = 1567 <--- price in pennies