Let
x = larger integer
y = smaller integer
The two integers (x and y) have a sum of 42 which means they add to 42
x+y = 42
solve for y to get
y = 42-x
simply by subtracting x from both sides
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The two integers have a difference of 22. This translates to "subtract the values and the result will be 22", i.e.,
x-y = 22
Plug in y = 42-x. Solve for x
x-y = 22
x-(y) = 22
x - (42-x) = 22
x - 42 + x = 22
2x - 42 = 22
2x - 42+42 = 22+42
2x = 64
2x/2 = 64/2
x = 32
If x = 32, then y is...
y = 42-x
y = 42-32
y = 10
Therefore,
x = 32
y = 10
The final answer is 10
Answer:
d=24 so the diameter is 24
Step-by-step explanation:
Let's solve your equation step-by-step.
d=(2)(12)
Step 1: Simplify both sides of the equation.
d=24
Answer:
d=24
Answer:
a) 1820 ways
b) 43680 ways
Step-by-step explanation:
When the order of the choices is relevant we use the permutation formula:
is the number of different permutations of x objects from a set of n elements, given by the following formula.

When the order of choices is not relevant we use the combination formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this problem, we have that:

(a) How many ways can this be done, if the order of the choices is not relevant?

(b) How many ways can this be done, if the order of the choices is relevant?

Answer:2
Step-by-step explanation:
You get the same denominator and then take away the amount pounds of trail mix for each bag to the amount that he had in total and keep doing it until there is no more
Vertex: V=(-2,-3)=(h,k)→h=-2, k=-3
The parabola is horizontal, then its equation has the form:
x=a(y-k)^2+h
x=a(y-(-3))^2+(-2)
x=a(y+3)^2-2
When the y-value is -2, the x-value is -5:
-5=a(-2+3)^2-2
-5=a(1)^2-2
-5=a(1)-2
-5=a-2
-5+2=a-2+2
-3=a
a=-3
Answer: The coefficient of the squared term in the parabola's equation is a=-3
Answer: Option D. -3