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cricket20 [7]
3 years ago
10

The price of a bag of candy is a linear function of the amount of candy in the bag. A bag containing 25 pieces costs $0.99 and a

bag containing 100 pieces costs $3.99. How much candy is contained in a bag that costs $5.99?
Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0

Answer:

About 152 pieces of candy

Step-by-step explanation:

Set up equal proportions to solve for the $5.99 bag.

We know that 24 pieces = .99, so

\frac{25 pieces}{.99 dollars} = \frac{x pieces}{5.99 dollars}

Make sure to keep the pieces on top, and the dollars on bottom (or vice versa). If your units are messed up, it will not work.

Cross-multiply.

25(5.99) = .99x

Simplify.

149.75 = .99x

Divide both sides by .99.

x = 151.26 = about 151 pieces of candy

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Mrs. Gammy divide 300 dollars equally among 5 fourth grade teachers. Mrs. Gammy to buy 12 hits that each cost the same amount. W
horrorfan [7]

Answer: The price of each gift is $5.

Step-by-step explanation:

Since we have given that

Amount = $300

Divided into equally among 5 fourth grade teachers.

so, Amount each fourth grade teacher would be

\dfrac{300}{5}=\$60

Since Number of hits that need to buy = 12

Each cost the same amount.

So, Price of each gift would be

\dfrac{60}{12}=\$5

Hence, the price of each gift is $5.

6 0
3 years ago
A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start,
Alex73 [517]

Answer:

A) A(t)  =  4500*π  -  1600*t

B) A(4)  =  7730 in³

C) t  =  8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max  =  30   r max  =  15 in

V(s) =  (4/3)*π*r³      V(s)  =   (4/3)*π* (15)³

V(s) = 4500*π

A)  Amount of air needed to fill the ball A(t)

A(t)  = Total max. volume of the sphere - rate of flux of air * time

A(t)  =  4500*π  -  1600*t    in³

B) After 4 minutes

A(4)  =  4500*π  - 6400

A(4)  =  14130 - 6400

A(4)  =  7730 in³

C)  A(t)  =  4500*π  -  1600*t  

when  A(t) = 0   the ball got its maximum volume then:

4500*π -  1600*t  =  0

t  =   14130/1600

t  =  8,8 sec

8 0
2 years ago
Help ASAP I need to get this question correct
strojnjashka [21]

Answer: The answer is NO

Step-by-step explanation:

8 0
3 years ago
A data scientist studying a manufacturing process classifies each item produced by the process as either Poor, Acceptable, or Ex
Genrish500 [490]

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

P(all excellent) = 0.15^3 = 0.003375

P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135

3 0
3 years ago
Can someone please help me i will give free 50 points
Grace [21]

Would it be 11 and 12?

6 0
2 years ago
Read 2 more answers
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