Answer: C. (10, -10)
Step-by-step explanation:
Given
1) 2x-3y=50
2) 7x+8y=-10
Multiply both sides of 1) equation by 3.5
1) 3.5(2x-3y)=3.5×50
7x-10.5y=175
2) 7x+8y=-10
Subtract 2) equation from the 1)
(7x-10.5y)-(7x+8y)=175-(-10)
-18.5y=185
y=-10
x=10
(10, -10)
Hope this helps!! :)
Please let me know if you have any questions
Answer: There are 1,400 students in the school. Checked options are bolded.
Step-by-step explanation:
<em>How many students in the school?</em>
- <em />
<em> </em>(10% of the school population is equal to 140 over unknown)
- <em />
<em> </em>(unknown equals 1,400)
<em>Check all that apply:</em>
- The total number of students is greater than 140.
- The total number of students is less than 140.
- (10)(14) = 140, so 100(14) = 1,400 students.
- 140 + 10 = 150, so 150 + 140 = 290 students.
- There are 140 + 10 = 150 students at Westside Middle School.
- The percent as a part to whole ratio is StartFraction 140 Over 100 EndFraction
- The percent as a part to whole ratio is StartFraction 10 Over 100 EndFraction
L.H.S is already equal, so just subtract 1st equation from second,
2y = 12
y = 6
Now, substitute it in 1st equation,
2(6) = 4x + 8
4x = 12 - 8
x = 4/4
x = 1
In short, Your Answer would be Option C) (1, 6)
Hope this helps!
(10,2) is 3 to the right of x = 7, so in order for x = 7 to bisect our segment, (k,2) must be 3 to the left of x = 7. In other words, it must be at (4,2)
So k = 4
If the shapes are similar and the smaller trapezoid's long base is half of the big trapezoid's long base than that means that the small trapezoid's short base would be half of the big trapezoid's short base.
Answer: The Little Trapezoid's shorter base is 1 mi long.
I hope this helps.
