Answer:
Step-by-step explanation:
1) 2x -y = 1 -------1
3x - y = -6 ------2
Subtract eqn 2 from eqn 1
-x = 1--6 = 7
x = -7
Put x= -7 in eqn 1
2*-7-y = 1
-14-y = 1
- y = 15
y = -15
2) 4x +2y = 10------1
y = 4x + 2--------2
Put eqn 2 in eqn 1
4x + 2 ( 4x+ 2) = 10
4x + 8x + 4 = 10
12x = 6
x = 6/12 = 1/2
Put x = 1/2 in eqn 2
y = 4* 1/2 + 2= 2 + 2
= 4
3) 6x - y = 2------1
y = 3x + 4---------2
Put eqn 2 in eqn 1
6x - (3x +4) = 2
6x - 3x - 4 = 2
3x = 6
x = 2
y = 3*2 + 4 = 6 + 4
= 10
Answer:
No it is not a good prediction. Theoretical probability says that the answer would be 30 of the 60 (30/60) rolls would be even numbers.
Step-by-step explanation:
The probability of rolling an even number on a fair six sided die is 3/6 or 1/2 when simplified.
if john rolls the die 60 times, multiply the theoretical probability (1/2) by the number of rolls
(1 ÷ 2) x 60 = 30
∴ theoretical probability says that john would roll an even number 30 out of the 60 rolls
I hope this was helpful :-)
Answer:
A. ⇒ The expression is b + 3
B. ⇒ The expression is 2b - 4
C. ⇒ The Dr's office is closer by 4 miles
Step-by-step explanation:
A.
∵ The distance between Daniel's house and his school is b miles
∵ The swimming pool is 3 miles farther from his school
∴ The distance between Daniel's house and the swimming pool is b + 3
B.
∵ The distance from Daniel's house to his Dr's office is 4 less than twice the distance from home to Daniel's school
∵ The distance between Daniel's house and his school is b
∴ The expression of distance from Daniel's house to his Dr's office is
2b - 4
C.
∵ b = 3
∴ The distance between his house and swimming pool is:
3 + 3 = 6 miles
∴ The distance between his house and Dr's office is:
2(3) - 4 = 2 miles
∴ The Dr's office is closer to Daniel's house than the swimming pool by:
6 - 2 = 4 miles
Answer:
Step-by-step explanation:
To work out the volume of this shape you will first need to work out the area of the triangle. To work out the area of the triangle you would multiply the base of 12 by the height of 4.1, which gives you 49.2. You would then need to divide 49.2 by 2, which gives you 24.6. This is because the formula for the area of a triangle is the same as that of a square, however a triangle is half of a square with the same length and width. To work out the volume you would multiply the area of the triangle, which is 24.6 by the height of 9, which gives you 221.4
1) Multiply 12 by 4.1.
2) Divide 49.2 by 2.
3) Multiply 24.6 by 9.
