Answer:

Step-by-step explanation:
3 1/2 x 1 2/3 = 35/6
6 x 5 + 5 = 35/6
Answer:
a= 5 and b=1
Step-by-step explanation:
To solve, we will follow the steps below:
2x + 3y = 7
(a-b)x + (a+b)y = 3a + b - 2
We should note that since it has infinitely many solutions then,

Hence
2/a-b = 3/a+b = 7/3a +b-2
2/a-b = 3/a+b
cross-multiply
3(a-b) = 2( a+b)
open the bracket
3a - 3b = 2a + 2b
collect like term
3a - 2a = 2b + 3b
a = 5b -------------------------------------------(1)
Similarly
3/a+b = 7/3a +b-2
cross-multiply
7(a+b) = 3(3a+b -2)
7a + 7b = 9a + 3b -6
take all the variables to the left-hand side of the equation
7a - 9a+ 7b-3b = -6
-2a + 4b = -6 ---------------------------------(2)
but a = 5b
substitute a= 5b in equation (2) and solve for b
-2(5) + 4b = -6
-10 + 4b = -6
add 10 to both-side of the equation
-10 + 10+ 4b = -6+10
4b = 4
divide both-side of the equation by 4
b = 1
substitute b= 1 in equation (1)
a = 5b
a =5(1)
a=5
Therefore, a= 5 and b=1
(5 + x) / 6 = -1....multiply both sides by 6, cancelling out the 6 on the left side
5 + x = -1 * 6
5 + x = -6
x = -6 - 5
x = -11
Answer:
In Section 6.1, we introduced the logarithmic functions as inverses of exponential functions and
discussed a few of their functional properties from that perspective. In this section, we explore
the algebraic properties of logarithms. Historically, these have played a huge role in the scientific
development of our society since, among other things, they were used to develop analog computing
devices called slide rules which enabled scientists and engineers to perform accurate calculations
leading to such things as space travel and the moon landing. As we shall see shortly, logs inherit
analogs of all of the properties of exponents you learned in Elementary and Intermediate Algebra.
We first extract two properties from Theorem 6.2 to remind us of the definition of a logarithm as
the inverse of an exponential function.
Step-by-step explanation:
Hope this helps
Answer:
the answer is 180cm for the rectangle
the answer is 126cm for the triangle.
the answer is 880ml for the rectangle.
Step-by-step explanation:
first diagram (rectangle)
area=l×b
15×12
180cm
second diagram(triangle)
area =

third diagram( rectangle)
area=
