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ollegr [7]
2 years ago
9

Joanna purchased four boxes of cookies for a party. Each box cost $3.28, including tax. PLEASE HELP!!! 100 POINTS!!! Which expre

ssion represents how to calculate the total cost of the cookies Joanna purchased?
4 ÷ $3.28
4 – $3.28
4($3.28)
4 + $3.28
Mathematics
1 answer:
Olegator [25]2 years ago
7 0

Answer:

4 / ($3.28)   is the correct answer

Step-by-step explanation:

As cost of  one box is  $3.28

the cost of four boxes will be  4 divided by the cost of one box....so that why the  4/($3.28) is correct option

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Write an equivalent expression for 4g+2 using the distributive property.
snow_lady [41]
4 * g + 2 ....... or do u want me to figure what g is 
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3 years ago
PLEASE HELP ME ASAPP !!​
Andreas93 [3]

Answer:

1. you start with $ 3 and save $1 each month

2. your total savings is 3 times the number of month multiplied by itself

3. you save $3 the first month and then each month the amount triples

Step-by-step explanation:

1.

as y axis represents savings while x axis represents months

the statement "you start with $ 3 and save $1 each month"

is best described by the graph of straight line having slope of 1 and intercept of 3.

2. your total savings is 3 times the number of month multiplied by itself

          = 3(x)(x)

          = 3x^2

3.  as y axis represents savings while x axis represents months

the statement  "you save $3 the first month and then each month the amount triples" is best described by the exponential graph starting to rise from point (1,3) which means $3 save at 1 month.

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4 0
3 years ago
You are saving for a new laptop that cost $499. You work two jobs: cleaning your grandparents' house for $15 an hour and mowing
xxMikexx [17]

Answer:

15x + 10x less than it equal to 499

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A cylindrical tank has a base of diameter 12 ft and height 5 ft. The tank is full of water (of density 62.4 lb/ft3).(a) Write do
saw5 [17]

Answer:

a.  71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

b.  23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

c. 99840π lb/ft-s²∫₀⁶rdr

Step-by-step explanation:

.(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.

The work done, W = ∫mgdy where m = mass of cylindrical tank = ρA([5 + 4] - y) where ρ = density of water = 62.4 lb/ft³, A = area of base of tank = πd²/4 where d = diameter of tank = 12 ft.( we add height of the tank + the height of point above the tank and subtract it from the vertical point above the base of the tank, y to get 5 + 4 - y) and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdy

W = ∫ρA([5 + 4] - y)gdy

W = ∫ρA(9 - y)gdy

W = ρgA∫(9 - y)dy

W = ρgπd²/4∫(9 - y)dy

we integrate W from  y from 0 to 5 which is the height of the tank

W = ρgπd²/4∫₀⁵(9 - y)dy

substituting the values of the other variables into the equation, we have

W = 62.4 lb/ft³π(12 ft)² (32 ft/s²)/4∫₀⁵(9 - y)dy

W = 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

.(b) Write down an integral for the fluid force on the side of the tank

Since force, F = ∫PdA where P = pressure = ρgh where h = (5 - y) since we are moving from h = 0 to h = 5. So, P = ρg(5 - y)

The differential area on the side of the tank is given by

dA = 2πrdy

So.  F = ∫PdA

F = ∫ρg(5 - y)2πrdy

Since we are integrating from y = 0 to y = 5, we have our integral as

F = ∫ρg2πr(5 - y)dy

F = ∫ρgπd(5 - y)dy    since d = 2r

substituting the values of the other variables into the equation, we have

F = ∫₀⁵62.4 lb/ft³π(12 ft) × 32 ft/s²(5 - y)dy

F = 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

.(c) How would your answer to part (a) change if the tank was on its side

The work done, W = ∫mgdr where m = mass of cylindrical tank = ρAh where ρ = density of water = 62.4 lb/ft³, A = curved surface area of cylindrical tank = 2πrh  where r = radius of tank, d = diameter of tank = 12 ft. and h =  height of the tank = 5 ft and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdr

W = ∫ρAhgdr

W = ∫ρ(2πrh)hgdr

W = ∫2ρπrh²gdr

W = 2ρπh²g∫rdr

we integrate from r = 0 to r = d/2 where d = diameter of cylindrical tank = 12 ft/2 = 6 ft

So,

W = 2ρπh²g∫₀⁶rdr

substituting the values of the other variables into the equation, we have

W = 2 × 62.4 lb/ft³π(5 ft)² × 32 ft/s²∫₀⁶rdr

W = 99840π lb/ft-s²∫₀⁶rdr

7 0
3 years ago
What is the difference between the mean and median (rounded to the nearest tenth) of these numbers 6,6,6,7,7,7,8,8,8,9
Nadusha1986 [10]

The median is the moddle number of a data set. If the number of numbers is even add the 2 middle numbers and divide by 2.

Median = (7+7)÷2 = 7

The mean is the averagw value in a data set. You find it be adding all the numbers and then divide the answer by the number of numbers.

Mean: (6+6+6+7+7+7+8+8+8+9) ÷ 10

= 72 ÷ 10 = 7.2

Happy to help! Marking my answer as the Brainliest would really be aprreciated.

3 0
2 years ago
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