For number 7.
Supplementary angles sum to 180.
2x+4x=180
6x=180
x=30
The two angles are 2x and 4x or 60 and 120
Given:
ratio of stickers to erasers: 3 to 8
She has 12 stickers.
3:8 = 12:x
3x = 8*12
3x = 96
x = 96/3
x = 32 erasers.
Mrs. Robbins has 32 erasers.
Complete Question
Marcus is 5 5/24 feet tall. Ben is 5 5/16 feet tall. Which of the two boys is taller? Give your answer and complete the justification using decimal representations of the mixed numbers. Round decimal entries to four decimal places. (select) is taller because > .
Answer:
Of the two boys, Ben is taller
Step-by-step explanation:
For Marcus
Converting to decimal
5 5/24 feet tall = 5.2083 feet tall
For Ben
5 5/16 feet tall = 5.3125 feet tall
Hence, Of the two boys, Ben is taller
Answer:
Step-by-step explanation:
After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...
s(h) = 6h -3
For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars
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After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...
m(h) = 8h -14
For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars
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For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.
The numbers are 18 and 12.
18 + 12 = 30
18 + 3(12) = 54