Let's assign a variable x to the number of multiples for each pound of dry mix and water. With that being the said, the question for finding the total pounds would be:
Total pounds = x*Pounds of dry mix + x*Pounds of water
Total pounds = 60x + 8x = 68x = 14 + 1/6 = 85/6
x = 85/6 / 68
x = 5/24
Thus, the pounds of dry mix is 60*5/24 = 25/2 lbs, while the pounds of water is 8*5/24 = 5/3 pounds.
So what you do is distribute the invisible -1 in front of the second parenthasees set and add like terms
remember
x^2+3x^2=4x^2
-(3+4x-x^2)=-1(3x+4x-x^2)=-3-4x+x^2
so first distribute the negative 1
-1(-4f^2-3f+6)=4f^2+3f-6
add
12f^2-9f+15+4f+3f-6
group like terms
12f^2+4f^2-9f+3f+15-6
add
16f^2-6f+9
aswer is 16f^2-6f+9
Answer:
Step-by-step explanation:
we have
step 1
Exchange x for y and y for x
step 2
isolate the variable y
take the square root both sides
step 3
Let
----> equation of the inverse
To divide exponents they have to have the same base and then you just subtract the bottom exponent from the top exponent.
7) k × 3^9
----------- =
3^5
k × 3^9-5 =
k × 3^4 =
k × 81 = 81k
8) x^4 × y^10 × 2^11
------------------------ =
y^8 × 2^7
x^4 × y^10-8 × 2^11-7 =
x^4 × y^2 × 2^4 =
x^4 × y^2 × 16=
16x^4y^2
Answer:
x = 8
Step-by-step explanation:
==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.
Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.
Thus, AB/EF = BC/FG = CD/GH = DA/HE
We have: 3/y = 4/3 = 5/z = x/6
Finding z:
4/3 = 5/z
Cross multiply
4*z = 5*3
4z = 15
z = 15/4
z = 3.75
Let's find x:
5/z = x/6
5/3.75 = x/6
Cross multiply
6*5 = x*3.75
30/3.75 = x
8 = x
x = 8
