Answer:
9/10
Step-by-step explanation:
we substitute the unknown number as "x"
2x + 12 = 8x + 3
12 - 3 = 8x + 2x
9 = 10x
x = 9/10
(y+2)=1/4(x-4) is the answer because you use the formula (y-y1)=slope(x-x1)
Answer: Eleventh Grade
Step-by-step
The ratio of tenth graders to the school's total population is 86:255 = 33.7%.
The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.
Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3)% = 31.0%.
When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.
Step-by-step explanation:
3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,
2y^2 = 12 ---> y^2 = 6
or
y = √6
4.This is an equilateral triangle of side 11 so
y = 11/2
To find x, use the definition of sine 60:
sin 60° = opp/hyp
= x/11
or
x = 11sin60° = (11√3)/2
It is a hot summer day, and Jade is trying to save money to buy a new shoe. She has 32 dollars, and she plans to sell smoothies at her neighborhood for four dollars a cup. At the end of the day, she is left with a total of 164 dollars in her wallet. How many smoothies did Jade sell?
