It is necessary when you are getting into multiplying from the outside of parenthesis and multiplying variables inside of parenthesis.
ex: 5(3 + 3x)
5 * 3 = 15
5 * 3x = 15x
so final set up would be 15 + 15x
Answer:
-5x²+26x-24
Step-by-step explanation:
(5x-6)(-x+4)
=5x(-x+4)-6(-x+4)
=-5x²+20x+6x-24
=-5x²+26x-24
Answer:
6.3 inches
Step-by-step explanation:
5/9 = 3.5/x
5x = 31.5
x = 6.3
Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
Solution:
Here we are given with the sides of the triangle as 5m, 16m and 5.
As the Triangle inequality we know that
The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.
Hence no triangle can be made.
So the correct option is None.
Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?
Solution:
Here we are given with the sides of the triangle as 6m, 2m and 7m.
As the Triangle inequality we know that
The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.
Hence one triangle can be formed.
So the correct option is one.
Answer:
Step-by-step explanation:
Use the basic simple interest formula:
P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:
P * r * t = I
Acct 1
Acct 2
If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:
P * r * t = I
Acct 1 x .04 1
Acct 2 1500-x .05 1
Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:
P * r * t - I
Acct 1 x .04 1 .04x
Acct 2 1500-x .05 1 .05(1500-x)
The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:
.04x + .05(1500 - x) = 69.50 and
.04x + 75 - .05x = 69.50 and
-.01x = -5.5 so
x = 550
That's how much money is in the account earning 4% interest.
