Step-by-step explanation:
a= 16x+3-14x+15
combine like terms, 16x-14x= 2x
so,
2x+3+15,
15+3=18
18=2x, divide 18 by 2
x=9
b) *open the parenthesis* -1/6 *24x = -4x
-1/6*60 = -10
-4x- (-10)= -4x+10
-4x+10+2x= -4x+2x= -2x
-2x=10 = 2x=-10 = x=-5
Cheers!
Answer:
5
Step-by-step explanation:
Here LCM will be 6. (We made the denominator same)
so, now the equation will be :
= 5/6
So, the value in the red box is 5.
Hope it helps!
It costs $3.63 more for the gold die than the gold plated die.
The volume of each half of the die is given by the formula
V=1/3s³.
This means the total volume is V = 2(1/3s³) = 2(1/3(2³)) = 16/3 = 5.33 mm³.
For the solid gold die, we know that it weighs 0.02g per mm³:
5.33(0.02) = 0.1066g
Gold costs $40.38 per gram:
40.38(0.1066) = $4.30
For the plastic die, plastic weighs 0.01 g per mm³:
0.01(5.33) = 0.0533g
Plastic costs $10 per gram:
0.0533(10) = 0.533 ≈ $0.54.
We also need to find the surface area, as it will be painted. Each face is an equilateral triangle; the area of a triangle is given by the formula
A = 1/2bh
We need to use the Pythagorean theorem to find the height. The height will be one leg and 1/2 of the base will be the other; the slanted side will be the hypotenuse:
h² + (1/2(2))² = 2²
h² + 1² = 2²
h² + 1 = 4
h² = 3
h = √3
The area of the triangle would then be A = 1/2bh = 1/2(2)(√3) = √3. There are 8 such faces on the die, so the total surface area would be 8√3 = 13.86mm².
Paint costs $0.01 per mm²:
13.86(0.01) = 0.1386 ≈ $0.14
Together the cost for the plastic is 0.14+0.53 = $0.67.
The difference between it and the cost for the gold die is 4.30 - 0.67 = $3.63.
Answer:
R' (3,-3)
Step-by-step explanation:
Answer:
Jamyra spent 23 minutes studying last week.
Step-by-step explanation:
100 - 8 = 92
92 ÷ 4 = 23.
