Answer:
6r+24
Step-by-step explanation:
2(r+3)=2r+6
2(2r+9)=4r+18
(2r+6)+(4r+18)=6r+24
Answer:
2x+3y=170.......1
1x+5y=225.......2
multiplying equation 2 by 2 and subtracting eq.1 &2
2x+3y-2x-10x=170-225
-7x=-55
x=55/7
55/7+5y=225
5y=225-55/7
y=1520/(7×5)=304/7
Answer:
272 cm²
Step-by-step explanation:
Step 1
We have to find the scale factor
When given the volume of two solids, the formula for the scale factor is
V1/V2 = (Scale factor)³
The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³
V1 = Pyramid A
V2 = Pyramid B
704/297 = (scale factor)³
We simplify the left hand side to simplest fraction
The greatest common factor of 704 and 297 = 11
704÷11/297÷11 = (scale factor)³
64/27 = (scale factor)³
We cube root both sides
cube root(scale factor)³ = cube root (64/27)
scale factor = (4/3)
Step 2
(Scale factor)² = S1/S2
S1 = Surface area of Pyramid A =?
S2 = Surface area of Pyramid B = 153 cm²
Hence,
(4/3)² = S1/153
16/9 = S1/153
Cross Multiply
S1 × 9 = 16 × 153
S1 = 16 × 153/9
S1 = 272 cm²
Therefore, the Surface Area of Pyramid A = 272 cm²
The answer is the mean is 8. The range is equal to the largest number, 10 minus the smallest number, 5. It equals 5, so d is wrong. The mean is all of the values added together, 80, divided by the number of values, 10. So, 8. The median is the middle which is between 7 and 8, so 7.5. Five has no dots.
Answer:
1,001 ways for them to decide.
Step-by-step explanation:
The order in which they will visit the countries is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
10 countries from a set of 14. So
1,001 ways for them to decide.
