Let p represent # of pages in the book.
Then (1/4)p = 67. Solve for p by mult. both sides of this equation by 4:
p = 268 (pages)
Answer:
A: W = 8x
B: 12y + 320
C: 44
Step-by-step explanation:
A: Lana can make $8 an hour.
W = 8x
B: She makes $12 per hour for every hour of overtime. This means that she already worked 40 hours with regular pay. She has already made $320.
40 × $8 = $320
S = 12y + 320
C: Plug in the amount Lana earned into the second equation. The second equation will account for pay from both regular and overtime hours.
S = 12y + 320
368 = 12y + 320
368 - 320 = (12y + 320) - 320
48 = 12y
48/12 = (12y)/12
4 = y
y = 4
Lana worked 4 hours of overtime and 40 hours of regular hours. In total, she worked 44 hours.
4 + 40 = 44
Example:
12+24
GCF:
12: 1,2,3,4,6,12
24: 1,2,3,4,6,8,24
Common factors: 1,2,3,4,6
Greatest factor: 6
Divide:
12 divided 6= 2
24 divided 6= 4
12+24= 6x(2+4)
<span>The area of mathematics that deals with points, lines, shapes and space. Plane Geometry is about flat shapes like lines, circles and triangles. Solid Geometry is about solid (3-dimensional) shapes like spheres and cubes.</span>
Hello there!
For this you simply need to give both fractions a common denominator!
The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.
So:
1/4 --> ?/12 --> 1 (3) / 12 --> 3/12
2/3 --> ?/12 --> 2 (4) / 12 --> 8/12
Total amount of time means the sum (adding them together).
When adding fractions, you MUST have a common denominator! (Which is what we just did).
So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours
Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)
Hope this helped!
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