What function has an inverse that is NOT a function?

The drama club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $5.50 and bags of cookies c

vaieri [72.5K]

Let's assume

the number of bags of candy =x

the number of bags of cookies =y

There were 5 more bags of cookies sold than candy

so, we get

$y=x+5$

Bags of candy cost $5.50

so, total cost of candy is

$=5.50x$

bags of cookies cost $3.50

so, total cost of cookies is

$=3.50y$

so,

total cost = (total cost of candy)+(total cost of cookies)

we get

total cost =5.50x+3.50y

so, we can plug

$5.50x+3.50y=53.50$

now, we can plug y

$5.50x+3.50(x+5)=53.50$

$5.5x\cdot \:10+3.5\left(x+5\right)\cdot \:10=53.5\cdot \:10$

$55x+35\left(x+5\right)=535$

$55x+35x+175=535$

$90x+175=535$

$90x+175-175=535-175$

$90x=360$

$x=4$

now, we can find y

$y=x+5$

$y=4+5$

$y=9$

so,

the number of bags of candy =4

the number of bags of cookies =9............Answer

5 0

3 years ago

The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as

pantera1 [17]

Answer:

The mass of the bag of sand must be equal to $m=12,000\pi\ g$

Step-by-step explanation:

The complete question is

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platform on which the statue is placed is designed to detect the mass of the statue. If the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues.

The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as a cylinder with height 25 cm and radius 8 cm.

In terms of pi, what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

step 1

Find the volume of the gold statue

The volume of a cylinder is equal to

$V=\pi r^{2}h$

substitute the given values

$V=\pi (8)^{2}(25)$

$V=600\pi\ cm^3$

step 2

Find the mass of gold

Remember that the mass is equal to multiply the density by the volume

so

$m=(20)600\pi\\m=12,000\pi\ g$

step 3

what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

we know that

The mass of the bah of sand must be equal to the mass of the statue

therefore

The mass of the bag of sand must be equal to

$m=12,000\pi\ g$

5 0

3 years ago

if 1 large bus and two small buses equal 100 people and 1 small bus and 2 large buses equal 158. how big is one large bus?

Fofino [41]

Answer:

One large bus can carry 72 people

Step-by-step explanation:

I kid you not I was messing around with my calculator and I found 72 for the large busses and 14 for the small ones. By doing 72+72+14 you get 158 and if you do 14+14+72 you get 100. Hope this helps.

6 0

3 years ago

if the hypotenuse of a special triangle of 45 45 90 was 10 radical 6 how would u solve for the hypotenuse

Vinvika [58]

Just do it it’s quite easy

3 0

4 years ago

Which of the fallowing best completes the sequence below??? 12,8,5,3.... A) 1 B) 2 C)4 D)0

slava [35]

Answer:

B) 2

Step-by-step explanation:

The first differences are increasing by 1 from term to term:

8-12 = -4

5-8 = -3

3-5 = -2

2-3 = -1 . . . . . if the next term is 2, as we believe it should be.

_____

Comment on number sequences

Any finite length sequence of n numbers can be modeled exactly by an n-1 degree polynomial. That is, a 4th-degree polynomial can be made to describe the sequence regardless of the next term you may choose.

If you choose the next term to be 2 as we suggest, then the sequence can be modeled by a 2nd-degree polynomial ...

(n² -11n +34)/2 . . . . for n = 1, 2, 3, ...

6 0

4 years ago

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