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konstantin123 [22]
3 years ago
12

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

to maintain a ratio of pumpkin to green beans of 3 to 1. If he wants to use a total of 72 cans, how many cans of green beans should he use
Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0
The answer is 24 :)
Hope this helped
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HELP PLEASE LOTS OF POINTS!!
Paladinen [302]

Answer:

<em>Thus, f and g are inverse functions</em>

Step-by-step explanation:

<u>Inverse Functions</u>

If two functions f(x) and g(x) are inverses, then it follows that:

f\circ g(x)=x

Or:

g\circ  f(x)=x

We are given

\displaystyle f(x)=\frac{1}{4}x-6

g(x)=4x+24

Let's test if they are inverse functions:

f\circ g(x)=\frac{1}{4}(4x+24)-6

Simplifying:

f\circ g(x)=x+6-6=x

Now find:

\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24

Operating:

\displaystyle g\circ f(x)=x-24+24=x

Thus, f and g are inverse functions

6 0
3 years ago
Read 2 more answers
The two angles shown are complementary angles.What is the value of x?
astraxan [27]

Answer:

complementary angles are angles that sum up to 90 degrees. that is all I can say because I can't see any diagram

4 0
3 years ago
Read 2 more answers
Which expression finds the measure of an angle that is coterminal with a 300° angle?
icang [17]
The expression that gives an angle that is coterminal with 300 is 300-720. Two angles are said to be coterminal if when they are drawn in a standard position, their terminal sides are on the same location. The expression gives an angle of 420 where when it is drawn the terminal sides are on the same location with the 300.

Someone asked the same question here before, check it out

3 0
3 years ago
Read 2 more answers
Solve for q.<br> a=qb+r<br> What is q equal to?<br> q=a−r−b<br> q=a−r/b<br> q=a/b −r<br> q=a/rb
Mademuasel [1]

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.

7 0
3 years ago
13. A catapult launches a boulder wint an upward velocity of 122 feet per second the height of the boulder (h) in feet after t s
SashulF [63]
For this case we have the following expression:
 h (t) = - 16t ^ 2 + 122t + 10
 We look for the maximum of the function, for this, we derive:
 h '(t) = - 32t + 122
 We match zero:
 -32t + 122 = 0
 We cleared t:
 t = 122/32
 t = 3.8125 s
 Then, the maximum height will be:
 h (3.8125) = - 16 * (3.2185) ^ 2 + 122 * (3.2185) +10
 h (3.8125) = 236.92 feet
 Answer:
 
It takes the boulder to reach maximum height about:
 
t = 3.8125 s
 
the boulders maximum height is:
 
236.92 feet
3 0
4 years ago
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