Answer:
4 hours
Step-by-step explanation:
Let the number of hours = x.
Jay reads 55 pages per hour, so in x hours, he reads 55x pages.
After reading for x hours, he has 278 - 55x pages left to read.
Odhran reads 45 pages per hour, so in x hours, he reads 45x pages.
After reading for x hours, he has 238 - 45x pages left to read.
Since we want to know when they have the same number of pages left, we set the expressions equal and solve for x.
278 - 55x = 238 - 45x
Add 45x to both sides.
278 - 10x = 238
Subtract 278 from both sides.
-10x = -40
Divide both sides by -10.
x = 4
Answer: 4 hours
Answer:
C. (5x^3-7)(2x^2+1)
Step-by-step explanation:
Given expression is,
10x^5+5x^3-14x^2-7
=10x^5-14x^2 + 5x^3 - 7 (By the commutative property)
=2x^2(5x^3-7)+5x^3-7 (Taking 2x^3 common from first two terms )
=(5x^3-7)(2x^2+1) (Taking 5x^3-7 common from both terms)
\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)
Hence, Option C is correct
30% percent is what they marked up
Answer:
Scale Factor = 2
Step-by-step explanation:
ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.
Answer:
Slope = ⅓ Y-intercept = -2
Step-by-step explanation:
by transforming the equation to y= ⅓x -2
then it becomes Y= ⅓x +(-2)
then you should get m= ⅓ and b = -2