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kiruha [24]
3 years ago
8

Solve for q. a=qb+r What is q equal to? q=a−r−b q=a−r/b q=a/b −r q=a/rb

Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0

The given equation is a=qb+r

We need to solve the equation for q.

<u>Value of q:</u>

The value of q can be determined by solving the equation a=qb+r for q.

Thus, subtracting both sides of the equation by r, we get;

a-r=qb

Now, dividing both sides of the equation by b, we have;

\frac{a-r}{b}=\frac{qb}{b}

Simplifying the terms, we get;

\frac{a-r}{b}=q

Therefore, the value of q is q=\frac{a-r}{b}

Hence, Option B is the correct answer.

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the number of buckets of paint n needed to paint a wall varies jointly with the total area a and the thickness t of the wall, an
Nat2105 [25]
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:

n = k · (a · t) / p

where k is the proportionality constant which we do not know.

We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:

k = (n · p) / (<span>a · t)
   = (5 </span>· 2) / (100 · 3) = 0.0333

Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:

a =  (n · p) / (k<span> · t)
   = (8 </span>· 2) / (0.0333 · 6)
   = 80 ft²

Please, note that we made sure to have the exact same units of measurements than the previous case.

Therefore, the correct answer is an area of 80 ft².
4 0
2 years ago
Will mark brainliest pls answer
alukav5142 [94]
Y =0.5x +2 The y-intercept is found by the coordinates (0,2) and the change is 0.5
4 0
3 years ago
can some one help me with this iv been stuck for about a week and i need some help are these function why or why not? thanks!
FromTheMoon [43]

Answer:

1) f(x) is not a function

2) g(x) is  a function.

Step-by-step explanation:

Function is  defined as a relationship between the independent variable and  the dependent variable

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of y is determined, then y is said to be a function of the independent variable

The above function can be represented by y = f(x).  f(x) can also been represented g(x) and P(x) functions of the independent variable x,  when the   function is unknown or unspecified.

Two laws to become a function:

a) Every element in X is related to some element in Y.

This relationship is commonly symbolized as y = f(x). In addition to f(x), other abbreviated symbols such as g(x) and P(x) are often used to represent functions of the independent variable x, especially when the nature of the function is unknown or unspecified.

Two rules to become a function:

a)"Each element" means that every element in X is related to some element in Y.

But some elements of Y may not assigned to x

b) A function is assigned to a single value. It will not give back 2 or more elements for the same input.

One-to-many is unaccepted, while many-to-one is accepted

If the relationship does not satisfies those two rules then it is not a function. we can say that the given relationship not a function.

1) Let f(x) be the function

Given x is domain ie, x=\{-2-3\} and y=f(x) ie, y=\{2,3\} is the range of x

By the definition of function,  f(x) does not satisfies the rules  to be a function because f(-2)=2 and f(-2)=3 So it assigns two values.

Therefore  f(x) is not a function

2) Let g(x) be the function

x is domain ie, x=\{-2-1,0,1\} and y=g(x) ie, y=\{2,2.5,3,3.5\} is the range of x

By the definition function,  g(x)  satisfies the rules  to be a function because g(-2)=3 , g(-1)=3.5,g(0)=2 and g(1)=2 So it assigns exactly one value.

Therefore  g(x) is  a function.

3 0
3 years ago
If there is 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left aft
AnnZ [28]
22.5 grams : Exponential

7 0
3 years ago
Cause you are choosing between 2 roads the 1st road is 50 miles at 35 mph and the second road is 65 miles at 45 mph which route
Marina CMI [18]

Answer:

The answer is d

Step-by-step explanation:

It would take 1 hour 44 minutes to travel the second road and 1 hour 42 minutes to travel the first road

7 0
2 years ago
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