Answer:
The Answer is 29/18 and in mixed form it is 1 11/18
Step-by-step explanation:
Steps for adding fractions
Find the least common denominator or LCM of the two denominators:
LCM of 9 and 6 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18
For the 1st fraction, since 9 × 2 = 18,
7
9
=
7 × 2
9 × 2
=
14
18
Likewise, for the 2nd fraction, since 6 × 3 = 18,
5
6
=
5 × 3
6 × 3
=
15
18
Add the two like fractions:
14
18
+
15
18
=
14 + 15
18
= 29/18
So, 7/9 + 5/6 = 29/18
In mixed form: 1 11/18
Let us say that:
a = ones
b = fives
c = twenties
So that the total money is:
1 * a + 5 * b + 20 * c = 229
=> a + 5b + 20c = 229 -->
eqtn 1
We are also given that:
c = a – 5 -->
eqtn 2
a + b + c = 30 -->
eqtn 3
Rewriting eqtn 3 in terms of b:
b = 30 – a – c
Plugging in eqtn 2 into this:
b = 30 – a – (a – 5)
b = 35 – 2a -->
eqtn 4
Plugging in eqtn 2 and 4 into eqtn 1:
a + 5(35 – 2a) + 20(a – 5) = 229
a + 175 – 10a + 20a – 100 = 229
11a = 154
a = 14
So,
b = 35 – 2a = 7
c = a – 5 = 9
Therefore there are 14 ones, 7 fives, and 9 twenties.
The height of the jewelry box is 1.75. because the equation of a rectangular prism is V=Bh. so we already know the volume and the base so you just divide them and you get your height.
Answer:
a) 
b) The lowest point of 
, 
is when x = 
Step-by-step explanation:
a) To simplify the expression 
you must:
Apply Difference of Two Squares Formula: 
Apply the Pythagorean Identity 
From the Pythagorean Identity, we know that 
Therefore,
![324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325](https://tex.z-dn.net/?f=324%5B-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29%29%5D%5C%5C324%5B%2B1%5D%5C%5C325)
b) According with the below graph, the lowest point of , is when x =
