You start with: (assuming x equals the cost to enter and y the cost of going on the rollercoasters.)
x+5y=35
x+11y=59. Multiply the top equation by -1, and subtract the equations, giving you -6y=-24, divide by -6 into both sides of the equation, to get y=4. Now replace y in one of the original equations (I recommend x+5y=35) and solve for x, giving you x=15
The cost for entering is 15 dollars, while each coaster is 4 dollars more. You could simplify this by changing y into x and making it slope-intercept form, to track your cost. y=4x+15, so it has a slope of 4, and a y-intercept of 15. This answer should give you a good grade on a test.
Answer:
5x just means 5 times so, 5 times a number(or variable)plus three is less than 7 times a number variable)plus 7
Answer:
See below
Step-by-step explanation:
In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.
In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.
In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.
Answer:
45 cubic units
Step-by-step explanation:
See attached.
Answer:

Step-by-step explanation:
We are given information about polynomial as
a root of 1 with multiplicity 2
so, one of factor is (x-1)^2
a root of 6 with multiplicity 1
so, another factor is (x-6)^2
so, we can write polynomial as

now, we can simplify it


So, we get polynomial as
