Dozen = 12
2 dozen
2x12=24
7/8 of 24
24 / 8 = 3
3 x 7 = 21
24- 21= 3
3 roses are left over
Answer:
The number of cups = 8 ....
Step-by-step explanation:
Let x be the number of cups
Let y be the number of plates
According to the given statement:
y=2x-4 This is equation 1
Now,
60% = 0.60
y=0.60(x+y) This is equation 2
Now substitute equation 1 in equation 2.
y=0.60(x+y)
2x-4=0.60(x+2x-4)
2x-4=0.6x+1.2x-2.4
Solve the like terms:
2x-4=1.8x-2.4
2x-1.8x=4-2.4
0.2x=1.6
x=1.6/0.2
x= 8 cups
Therefore the number of cups = 8 ....
Answer:
k = 12h
Step-by-step explanation:
Since each of the inputs of h can be mutiplied by 12 to get the output k, the equation is k = 12h
Hope this helps :)
Answer:
Not equivalent
Step-by-step explanation:
The three would also be distributed to z making the correct equivalent expression 15+3z
Observe attached picture.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:

Similarly we can do for large triangle containing flagpole:

We see that these two equations have same left sides. This means that their right sides must also be same:

We can solve for A:

Height of flagpole is 48 feet.