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Kruka [31]
3 years ago
14

Two enterprising college students decide to start a business. They will make up and deliver helium balloon bouquets for special

occasions. It will cost them $39.99 to buy a machine to fill the balloons with helium. They estimate that it will cost them $2.00 to buy the balloons, helium and ribbons needed to make each balloon bouquet. Which of the following expressions could be used to model the total cost for producing b balloon bouquets?
$2.00b + $39.99$37.99b$39.99b + $2.00$41.99bSave
Mathematics
2 answers:
Dvinal [7]3 years ago
6 0
I think it's the second equation. I could be wrong but I think that's what it is
Daniel [21]3 years ago
5 0

Answer:

Option A.

Step-by-step explanation:

Machine to fill the balloons with helium will cost = $39.99

Cost of the balloons, helium and ribbons for each bouquet = $2.00

If b balloon bouquets are produced then cost of b balloon bouquets = $2b

Total cost for producing b balloon bouquets = cost of machine + cost of material

                                                                           = $(39.99 + 2b)

Therefore, cost to produce b bouquets will be $2.00b + $39.99

Hence option A is the answer.

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A cylinder has a base diameter of 8 feet and a height of 7 feet. What is the volume in cubic feet, to the nearest tenths place
IrinaVladis [17]

Answer:

351.9 ft³

Step-by-step explanation:

  • <em>Volume of cylinder: V= πr²h</em>

<u>Given:</u>

  • d= 8 ft ⇒ r= 8/2= 4 ft
  • h= 7 ft

<u>Solution:</u>

  • V= π*4²*7 ≈ 351.9 ft³ rounded to the nearest tenths
8 0
4 years ago
NEED HELP ASAP!Noah and Lin are each trying to solve the equation x^2-6x+10=0. They know that the solutions to x^2=-1 are i and
suter [353]

Let's solve your equation step-by-step.

x2−6x+10=0

For this equation: a=1, b=-6, c=10

1x2+−6x+10=0

Step 1: Use quadratic formula with a=1, b=-6, c=10.

x= -b ± \sqrt{\frac{b^2 -4ac}{2a}

x = −(−6)± \sqrt{\frac{(-6)^2 -4(1)(10)}{2(1)}

x= 6± \frac{\sqrt{-4} } {2}

x = 6± (\sqrt{4})( \sqrt{-1} ) / 2

x = 6 ±  (\sqrt{4})( i ) / 2

(\sqrt{4}) = 2

6 ± 2i / 2   = 3 ± i

3 0
3 years ago
Read 2 more answers
Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, her
storchak [24]
Each colection day: D
Number of tops collected on that day: N

D1=1; N1=2
D2=3; N2=8

1) Linear model
N-N1=m(D-D1)

m=(N2-N1)/(D2-D1)
m=(8-2)/(3-1)
m=(6)/(2)
m=3

N-N1=m(D-D1)
N-2=3(D-1)
N-2=3D-3
N-2+2=3D-3+2
N=3D-1

when D=6:
N=3(6)-1
N=18-1
N=17

<span>What is the number of tops collected on the sixth day based on the linear model?
</span>The number of tops collected on the sixth day based on the linear model is 17.

2) Exponential model
N=a(b)^D
D=D1=1→N=N1=2→2=a(b)^1→2=ab→ab=2   (1)

D=D2=3→N=N2=8→8=a(b)^3→8=a(b)^(1+2)
8=a(b)^1(b)^2→8=ab(b)^2   (2)

Replacing (1) in (2)
(2) 8=2(b)^2
Solving for b:
8/2=2(b)^2/2
4=(b)^2
sqrt(4)=sqrt( b)^2 )
2=b
b=2

Replacing b=2 in (1)
(1) ab=2
a(2)=2
Solving for a:
a(2)/2=2/2
a=1

Then, the exponential model is N=1(2)^D
N=(2)^D

When D=6:
N=(2)^6
N=64

<span>What is the number of tops collected on the sixth day based on the exponential model?
</span><span>The number of tops collected on the sixth day based on the exponential model is 64</span>
7 0
4 years ago
What is 14 divided bye 3
bonufazy [111]

Answer:

4.66

14÷ 3 = 4 r 2

add 0 to 2 ( this attracts a decimal point in your answer)

20 ÷ 3 = 6r 2

and = 4.66

6 0
2 years ago
Read 2 more answers
Which algebraic expression represents the statement: the difference of four times a number and seven.
SIZIF [17.4K]
First, take the written expression apart. Four times a number would be 4n. Then the difference between. That would be a subtract sign. Then finally the seven. The difference between 4n and 7 so:
4n - 7 is your answer.
4 0
4 years ago
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