1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
1. A sine function has the following key features:
andrew11 [14]
Problem 1

See the attached image (figure 1)

16pi seems like a typo. I'm going to assume that it's a fraction and it is 1/(6pi)
f = 1/(6pi) = frequency
T = 1/f = 1/(1/(6pi)) = 6pi
Amplitude = 2
a = 2
b = 2pi/T = 2pi/(6pi) = 1/3
Midline: y = 3
d = 3

The function is
y = a*sin(bx-c)+d
y = 2*sin(1/3*x-0)+3
y = 2*sin(x/3)+3

===============================================

Problem 2

See the attached image (figure 2) 

T = 12 is the period
a = 4 is the amplitude
b = 2pi/T = 2pi/12 = pi/6
y = 1 is the midline so d = 1
The y intercept is (0,1) which is the midline, which indicates no phase shifts have occurred so c = 0

The function is
y = a*sin(bx-c)+d
y = 4*sin((pi/6)x-0)+1
y = 4*sin((pi/6)x)+1

===============================================

Problem 3

See the attached image (figure 3)

Period = 4pi
T = 4pi
b = 2pi/T = 2pi/(4pi) = 1/2 = 0.5
Amplitude = 2
a = 2
Midline: y = 3
d = 3
y-intercept: (0,3)
The function is a reflection of its parent function over the x-axis, so 'a' is negative meaning a = -2 instead of a = 2

The function is
y = a*sin(bx-c)+d
y = -2*sin(0.5x-0)+3
y = -2*sin(0.5x)+3

===============================================

Problem 4

See the attached image (figure 4)

a = 10 which is half of the distance between the highest and lowest points
T = 8 is the period
b = 2pi/T = 2pi/8 = pi/4
c = -pi/2 is the phase shift since its really a cosine graph
d = 0 is the midline

The function is
y = a*sin(bx-c)+d
y = 10*sin((pi/4)*x+(-pi/2))+0
y = 10*sin((pi/4)*x+pi/2)

===============================================

Problem 5

See the attached image (figure 5)

a = 2 is the amplitude since it bobs up and down this distance from the midline
T = 8 seconds is the period (double that of the time it takes for it to go from the highest to the lowest point)
b = 2pi/T = 2pi/8 = pi/4
c = 0 is the phase shift as the buoy starts at normal depth of 20 meters
d = 20 is the midline

The function is
y = a*sin(bx-c)+d
y = 2*sin((pi/4)x-0)+20
y = 2*sin((pi/4)x)+20

===============================================

8 0
3 years ago
Read 2 more answers
Simplify the square root of 320
Pavlova-9 [17]
17.89, is this an option?
5 0
3 years ago
from his house Mike rides his bike 2 miles west and 10 miles north to the gym how much shorter is it to the gym if he rode in a
Dmitry [639]
Using the rectangular route Mike rides 12 miles. If he rides diagonally the distance is √2²+10²=√4+100=√104.
The difference between the two routes is 12-√104=1.80 miles approximately.
4 0
3 years ago
I need help it’s geometry
Genrish500 [490]

Answer:

666666666666666666666666

6 0
2 years ago
Read 2 more answers
It takes even 63/4 hours to mow 3 lawns it takes him 21/3 hours to mow mr gals lawn and 13/4 to mow mr lees lawn.
sattari [20]
Ok so Mr gals takes 7 hours and Mr Lee's takes 6.25 hours to mow and those added equal 13.25 so 63 divided by 4 equals 15.75 so if we take that and minus gal and Lee's lawn it takes 2.50 hours to mow Mr unknowns lawn
6 0
3 years ago
Other questions:
  • Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of t
    6·1 answer
  • Jim and Mary saw a commercial on TV for a cruise line. The longer trip costs ???. The shorter trip costs only $1,629. How much l
    9·2 answers
  • What fraction of a pound is forty pence
    8·2 answers
  • Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total poin
    9·2 answers
  • What does the radius-tangent theorem state?
    13·1 answer
  • Rewrite the equation in slope-intercept form: 2x + 3y = 12.
    11·2 answers
  • 4. The length of a rectangle is four meters less than five times the width. What is the length of the rectangle if
    11·1 answer
  • Which of the following statements is true about completing a square? A. When completing the square, subtract the square of half
    5·2 answers
  • Answer this its attached
    12·1 answer
  • PLEASE HELP, WILL MARK BRAINLIEST
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!