Answer:
Evan's recipe
Step-by-step explanation:
Given that:
Evan's recipe :
5 cups of milk for every 4 teaspoons of chocolate syrup
Carter's recipe:
3 cups of milk for every 2 teaspoons of chocolate syrup.
Recipe with the stronger tasting chocolate milk:
Take the ratio of cups of milk to teaspoons of chocolate syrup:
Evan's :
5 / 4 = 1.25
Carter's :
3 /2 = 1.5
Evan's recipe has the stronger tasting chocolate milk recipe :
5 milk cup = 4 chocolate spoons
Number of chocolate milks for 3 milk cups = x in Evan's recipe
5 = 4
3 = x
5x = 12
x = 12/5
x = 2.4 teaspoons
This is 2.4 spoons compared Carter's recipe which uses 2 spoons for every 3 milk cups
The area of the rectangle:
A = Length x Width = JK x KL = 36 cm²
If JK ≥ 4 cm, we have to prove that KL ≤ 9 cm.
Answer:
Assume that a. KL > 9 cm.
Then the area of rectangle JKLM is greater than b. 36 cm²,
which contradicts the given information that c. side is at least 4 cm long.
So the assumption must be false. Therefore, d. KL ≤ 9 cm.
Answer:
x = 18
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 5x + 72 = 180
6x + 72 = 180
6x = 180 - 72
6x = 108
x = 18
Answer:
Age 1-NO
Age 2-NO
Age 3-NO
Age 4-NO
Age 5-NO
Age 6-NO
Age 7-NO
Age 8-NO
Age 9-NO
Age 10-NO
Age 11-maybe probably not
Age 12-maybe probably not
Age 13-maybe probably not
Age 14-kinda
Age 15-kinda
Age 16-starting to know more
Age 17-starting to know more
Age 18-pretty sure
Age 19-pretty sure
Age 20-yes
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
