It's a linear function. The graph is a straight line, therefore we need only two points.
Select any value of x and calculate the value of y:
y = -3x + 4
for x = 0 → y = -3(0) + 4 = 4 → (0, 4)
for x = 2 → y = -3(2) + 4 = -2 → (2, -2)
Answer:
33 children
62 adults
Step-by-step explanation:
Set up 2 equations (a=adults c=children)
The first equation will be 3.25(a)+3 = 300.5
The second equation will be a + c = 95
Subtract c from both sides to get:
a = 95 - c
Replace c in the 1st equation to get:
3.25(95-c) + 3c = 300.5
Distribute 3.25 to 95 and -c:
308.75 - 3.25c + 3c = 300.5
Subtract 308.75 from both sides:
-3.25c + 3c = 300.5 - 308.75
Combine like terms:
-0.25c = -8.25
Divide by -0.25
children = 33
Subtract 33 from 95 to get
adults = 62
Answer:
7/8
Step-by-step explanation:
3 1/2pies ÷ 4friends = ?
3 1/2 ÷ 4 = .875 (in decimal form)
.875 as a fraction = 7/8
each person will get 7/8 of a pie
Square=a^2
trapezoid: a+b over 2 times height
triangle=bxh divide by 2
parallelogram= bxh
Answer:
h = 3.62
Step-by-step explanation:
First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:
Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:
Finally the height of this new triangle is 3.62 cm