Answer:
a
Yes
b
c
d
Step-by-step explanation:
From the question we are told that
Two fair dice, one green and one red were rolled
Generally the outcomes on the dice independent because the outcome on the first dice is not affected by the second die
Generally the probability of getting a 1 on a dice rolled is 
the probability of getting a 5 on a dice rolled is 
Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as
Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as
Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as
4x+3(5y-x)
Start by multiplying out the brackets
4x+15y-3x
Collect like terms
4x-3x+15y
Subtract the x's
X+15y
Hope this helps!
Answer:
x=9
Step-by-step explanation:
2(9)+3
18+3=21
3(9)-6
27-6=21
when you plug in 9 for the x variable you will get the same end value
Answer:
surface area of the cube is 96m² and the volume is 64m³
Step-by-step explanation:
Surface area of the cube = 6x²
x is the side length
Given
x = 4metres
Surface area of the cube = 6(4)²
Surface area of the cube = 6(16)
Surface area of the cube = 96m²
Volume of the cube = x³
Volume of the cube = 4³
Volume of the cube = 64m³
Hence the surface area of the cube is 96m² and the volume is 64m³
Answer:
D. 4(2x² + 4x - 6); 130.0 inches
Step-by-step explanation:
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x2+4x−6; 22.0 inches
2x2+4x−6; 32.5 inches
4(2x2+4x−6;) 88.0 inches
4(2x2+4x−6;) 130.0 inches
Perimeter of a square = 4 * side length
1- First square pillow
length = 2x²+1 in
Perimeter of first pillow = 4 * (2x²+1) in
Second square pillow
length = 4x-7 in
Perimeter of second pillow = 4(4x-7) in
Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow
Total ribbon length required = 4(2x²+1) + 4(4x-7)
Factorise
4 is the common factor
=4(2x²+1)+(4x-7)
=4(2x²+1+4x-7)
=4(2x²+4x-6)
Total ribbon length required=4(2x²+4x-6)
If x=3.5
Total ribbon length required=4(2x²+4x-6)
=4{2(3.5)²+4(3.5)-6}
=4{2(12.25)+14-6)
=4(24.5+14-6)
=4(32.5)
=130.0 inches
