Answer:
11
Explanation:
(next time, it would be helpful to include a picture)
If you were on the same test as I was, than that means that the triangle you're looking for is the one below.
Using the Pythagorean Theorem,
a² + b² = c² is the same as c² - b² = a²
c = 61
61^2 = 61 X 61 = 3,721
b = 60
60^2 = 60 X 60 = 3,600
Next, we subtract:
3,721 - 3,600 = 121
√121 = 11
(x = 11 cm)
so 11 is your answer
First, we know that when multiplying fractions, we multiply both the numerator and denominator.
so, in 4/9 • 4/5,
4•4 = 16, and
9•5 = 45
so, 4/9 • 4/5 = 16/45.
now, we’ll look for the Least Common Factor
factors are numbers that you can multiply together to = another number.
the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.
for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9
let’s look for the LCF in 16 and 45. -
if we find the ways to get 16, we have:
1•16, 2•8, and 4•4
so, the factors are 1, 2, 4, 8, and 16.
this is called FACTORING :)
the ways to get 45 are...
1•45, 3•15, and 5•9, so the FACTORS are
1, 3, 5, 9, 15, & 45.
- compare the factors of 16 & 45,
none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.
because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
Answer:
1
Step-by-step explanation:
Given the system of equations below
y=2x+5
y=x+6
Equating the right hand side of the expressions we will have;
2x+5 = x+6
Collect the like terms;
2x - x = 6 - 5
x = 1
Hence the x-coordinate of the solution to the system is 1
Answer:
0033
Step-by-step explanation:
.033 of a whole number so its .033
Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
