I’m guessing that this is for systems of equations?
n - nickels
d - dimes
These are the equations you start off with.
n = 5d-2
0.95 = 0.10d+0.05n
Substitute the top equation for n into the variable n in the bottom equation.
0.95 = 0.10d+0.05(5d-2)
Solve for d.
0.95 = 0.10d+0.25d-0.10
1.05 = 0.35d
3 = d
Substitute d into the top equation and solve for n.
n = 5(3)-2
n = 15-3
n = 12
There are 3 dimes and 12 nickels in the coin purse! Hope this helped <3
Answer:
Colour of coat
Step-by-step explanation:
We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.
In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.
Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.
Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.
Answer:
Step-by-step explanation:
The average length of the weird trapezoidal shape on the left is
(2 m + 10 m)/2, or 6 m. The width is 4 m, so the area is 24 m^2.
The area of the semicircle is (1/2)(pi)(2 m)^2, or 2pi m^2.
Thus, the overall area of the green shape is 24 m^2 + 2pi m^2.
Answer:
24
Step-by-step explanation:
Using Pythagoras theorem,
a^2 = b^2 + c^2
40^2 = 32^2 + c^2
1600 = 1024 + c^2
1600 - 1024 = c^2
576 = c^2
square root of 576 = c
24 = c
Answer:
2x(x+y)(x-y)
Step-by-step explanation:
Given the expression;
(x+y)² + 2(x+ y)(x- y) + (x– y)²
Factorize
(x+y)² + (x+ y)(x- y) + (x+ y)(x- y) + (x– y)²
= (x+y)[x+y+(x-y)] +(x-y)[(x+y)+(x-y)]
= (x+y)(x-y)(x+y+(x-y))
= (x+y)(x-y)(x+y+x-y)
= (x+y)(x-y)(2x)
hence the expanded form is 2x(x+y)(x-y)
