Answer:
12 blue necklaces + 12 red necklaces = 24 necklaces. He will have 1 blue bead left over and 1 red bead left over.
Step-by-step explanation:
37/3 = 12.333 or 12 r1
25/2= 12.5 or 12 r1
1+1=2
Answer:
Please see attached image for the sketch with the labels.
Length "x" of the ramp = 11.70 ft
Step-by-step explanation:
Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (
), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.
For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:
Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft
Answer:
see below
Step-by-step explanation:
1) 6(x + 1)+ 5 = 35
Distribute
6x+6 +5 = 35
Combine like terms
6x+11 =35
Subtract 11
6x+11-11=35-11
6x = 24
Divide by 6
6x/6 =24/6
x = 4
2) 0.7(x - 2) = 0.3
Distribute
.7x -1.4 = .3
Add 1.4 to each side
.7x-1.4+1.4 = .3+1.4
.7x = 1.7
Divide each side by .7
.7x/.7 = 1.7/.7
x = 17/7 = 2.482571429
3) 7(4x + 9) - 13 = 87
Distribute
28x +63 -13 = 87
Combine like terms
28x +50 = 87
Subtract 50 from each side
28x +50-50 =87-50
28x=37
Divide each side by 28
28x/28 = 37/28
x = 37/28 = 1 9/28
4) 0.25(3 - x) = 0.375
Distribute
.75 -.25x = .375
Subtract .75 from each side
.75-.75 -.25x = .375-.75
-.25x = -.375
Divide each side by -.25
-.25x/-.25 = -.375/-.25
x =1.5
I believe it’s the one that ends with -1
