Answer:
x = 36; y = 42
Step-by-step explanation:
x+6 = y
7x = 6y
7x = 6(x+6)
7x = 6x+36
-6x -6x
x = 36
_________
y = 36+6
y = 42
_________
Answer: 27
Explanation: Bunny&Cat=10kg it can be 1/9,2/8 etc. it’s 3/7 Bunny 3 Cat 7. With that we know the Dog weighs 17 kg. 17 Dog + 7 Cat= 24. With that it’s easy, 3+7=10+17=27
Answers:
area = 50.24 square yards
circumference = 25.12 yards
values are approximate
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Work Shown:
d = 8 is the diameter
r = 4 is the radius, half the diameter
pi = 3.14 approximately
C = 2*pi*r = circumference
C = 2*3.14*4
C = 25.12 yards is the circumference. The circumference is the distance around the circle, aka the perimeter
An alternative formula you can use is C = pi*d
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A = area of circle
A = pi*r^2
A = 3.14*4^2
A = 50.24 square yards is the area
<h3>
Answer:</h3>
(-4, 15), (1.5, 4)
<h3>
Step-by-step explanation:</h3>
This is easily solved using a graphing calculator. (See attached.)
_____
Algebraically, the solution is found by equating the expressions for y:
... -2x +7 = y = 2x² +3x -5
... 2x² +5x -12 = 0 . . . . rearranged to standard form
... (2x -3)(x +4) = 0 . . . . factor
The x-values of the points of intersection are those that make these factors be zero:
... 2x-3 = 0 ⇒ x = 3/2
... x+4 = 0 ⇒ x = -4
The linear equation is the easiest to use to find the corresponding y-values.
... for x = 3/2, y = -2(3/2) +7 = 4
... for x = -4, y = -2(-4) +7 = 15
The points of intersection are (-4, 15) and (3/2, 4).
8 because 24/3= 8, 16/2= 8 and 40/5= 8. 8 goes into each amount evenly.
