Answer:
the answers for those are number 4 is 150 and 5 is 16%
Step-by-step explanation:
number 4 500 x 30= 15,000
15,000 ÷ 100= 150
number 5 80 x 100=8,000
8,000÷ 500= 16 so 16%
Answer:
42x + 14
Step-by-step explanation:
to solve this type of question , all you have to do is to follow some simple rule of BODMAS
B.............. bracket open
O.............. of
D................ division
M.................multiplication
A................... Addition
S........................... Subtraction.
so we are just going to apply the B
7 (6x + 2)
42x + 14
The way to solve it is to put the 154 on top of 35 and multiply it to get the answer, 154 times 35 = 5390
Answer:
x = 35°
Step-by-step explanation:
Same side interior angles are supplementary, or they add up to 180°. So write an equation:
Solve for x. Subtract 145 from both sides:
The value of x is 35°.
:Done
You can solve this either just plain algebra or with the use of trigonometry.
In this case, we'll just use algebra.
So, if we let M be the the point that partitions the segment into a ratio of 3:2, we have this relation:
KM/ML = 3/2
KM = 1.5 ML
We also have this:
KL = KM + ML
Substituting KM,
KL = (3/2) ML + ML
KL = 2.5 ML
Using the distance formula and the given coordinates of the K and L, we get the length of KL
KL = sqrt ( (5-(-5)^2 + (1-(-4))^2 ) = 5 sqrt(5)
Since,
KL = 2.5 ML
Substituting KL,
ML = (1/2.5) KL = (1/2.5) 5 sqrt(5) = 2 sqrt(5)
Using again the distance formula from M to L and letting (x,y) as the coordinates of the point M
ML = 2 sqrt(5) = sqrt ( (5-x)^2 + (1-y)^2 ) [let this be equation 1]
In order to solve this, we need to find an expression of y in terms of x. We can use the equation of the line KL.
The slope m is:
m = (1-(-4))/(5-(-5) = 0.5
Using the general form of the linear equation:
y = mx +b
We substitue m and the coordinate of K or L. We'll just use K.
-5 = (0.5)(-4) + b
b = -1.5
So equation of the line is
y = 0.5x - 1.5 [let this be equation 2]
Substitute equation 2 to equation 1 and solving for x, we get 2 values of x,
x=1, x=9
Since 9 does not make sense (it does not lie on the line), we choose x=1.
Using the equation of the line, we get y which is -1.
So, we get the coordinates of point M which is (1,-1)
