Answer:
The correct opion is;
7 ≤ p
Step-by-step explanation:
The number of signatures Devin needs to collect = 1,000 signatures
The numer of signatures Devin has already = 380 signatures
The number ofsignatures each petition page can hold = 80 signatures
Therefore;
The number of extra signatures required = 1,000 - 380 = 680 signatures
The number of petition pages required = 1,000 petitions /(80 signatures/page) = 12.5 pages
The number of pages already filled = 380 petitions /(80 signatures/page) = 4.75 pages
The number of pages remaining, p = 12.5 - 4.75 = 7.75 pages
Therefore, 7 ≤ p.
Answer: 36
Step-by-step explanation:
42 divided 7/6 = 42 multiplied by 6/7; 42 x 6 = 252/ 7 = 36
Use the sum-product pattern
2
−
−
1
2
x
2
−
x
−
12
x2−x−12
2
+
3
−
4
−
1
2
x
2
+
3
x
−
4
x
−
12
x2+3x−4x−12
2
Common factor from the two pairs
2
+
3
−
4
−
1
2
x
2
+
3
x
−
4
x
−
12
x2+3x−4x−12
(
+
3
)
−
4
(
+
3
)
x
(
x
+
3
)
−
4
(
x
+
3
)
x(x+3)−4(x+3)
3
Rewrite in factored form
(
+
3
)
−
4(+3)x
(x+3)−4(x+3)
x(x+3)−4(x+3)
(−4)(+3)
(x−4)(x+3)
(x−4)(x+3)
Answer:
each notebook costs $2.70
each pack of pencils costs $1.50
Step-by-step explanation:
system of equations:
let p = pack of pencils
let n = notebook
3p + 5n = 18
4p + 4n = 16.8
I used the elimination method by multiplying the first equation by 4 and the second equation by -3
4(3p + 5n = 18) = 12p + 20n = 72
-3(4p + 4n = 16.8) = -12p -12n = -50.4
adding the new equations together you get: 8n = 21.6
n = 21.6/8
n = $2.70
solve for 'p':
3p + 5(2.7) = 18
3p + 13.5 = 18
3p = 4.5
p = $1.50
Answer:
$15
Step-by-step explanation:
To figure thsi out, you do 20 divided by 8, which gives you 2.5 ($2.50.)
Next you do 2.50 x 6 which gives you 15 ($15.)
The answer is $15.
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