You can buy 2 songs on I-Tunes for $ 2.58, or 3 songs for $ 3.87. Write an equation to show the relationship between the number of songs, s, and the total cost, c.

Answers

Answer 1

Answer:

Answer:

for the first pack, 1 Itune song would be 1.29 and for the other pack, for one Itune song would be 1.29 also, the relationship between these problem is that they are the same price for 1 song. The total cost for 1 is $1.29 hope this helps, have a great day! ツ

Step-by-step explanation:

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Petra throws a ball up with an initial vertical velocity of 35 ft/s from a platform that is at ground level.How long will the ball be in the air?

Answers

The equation used to solve this problem is this:
H(t) = -16t^2 +vt + s
Where,
H(t) is the distance of the ball from the ground in feet,
t is the time in seconds,
v is the initial velocity of the ball as it is thrown up in feet/sec,
s is the distance of the ball from the ground when it was thrown in feet

Plugging in the given values,
0 = 16 t^2 + 35t + 0
This is a quadratic equation and the roots are:
0 and 2.19

ANSWER: 2.19 SECONDS

The equation used to solve this problem is this:

H(t) = -16t^2 +vt + s

Where,

H(t) is the distance of the ball from the ground in feet,

t is the time in seconds,

v is the initial velocity of the ball as it is thrown up in feet/sec,

s is the distance of the ball from the ground when it was thrown in feet

Plugging in the given values,

0 = 16 t^2 + 35t + 0

This is a quadratic equation and the roots are:

0 and 2.19

answer: 2.19 seconds

A colony of insects doubles every day. If the colony has 5 insects todayHow many will be present in 20 days?a.1310720
b. 2621440
c. 5242880
d. 10485760

Answers

5242880 insects would be present in 20 days.

The correct answer is an option (c)

What is the formula of exponential growth?

" $f(x)=ab^x$ ,

where a is the initial value

b is the growth rate

x is time. "

For given question,

Suppose the function for the population growth is,

$A(t)=A_0* b^t$

A colony of insects doubles every day.

⇒ b = 2

The colony has 5 insects today.

⇒ $A_0=5$

So, the exponential growth function would be,

$A(t)=5* 2^t$ ...........(1)

We need to find the number of insects after 20 days,

From equation (1),

$\Rightarrow A(20)=5* 2^(20)\n\n\Rightarrow A(20)=5* 1048576\n\n\Rightarrow A(20)=5242880$

Therefore, 5242880 insects would be present in 20 days.

The correct answer is an option (c)

Learn more about the exponential growth here,

brainly.com/question/11487261

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The answer is C all I did was multiply 5*2 and repeat 20 times

John is a runner. He runs the 100m sprint in 20.0 s. Calculate John's speed. Show your work!

Answers

Answer: John runs 5 m/s

Step-by-step explanation: Divide 100 by 20 and you get 5.

Also you are dividing the meters he runs by the seconds he runs.

How many solutions are there to the system of equations?4x-5y=5

-0.08x+0.10y=0.10

Answers

First equation simplifies to
y=(4/5)x-1
The second equation simplifies to
y=(4/5)x +1
So the answer is
No Solution

Manny makes dinner using 1 box of pasta and 1 jar of sauce. if pasta is sold in packages of 6 boxes and sauce is sold in packages of 3 jars, what is the least number of dinners that Manny can make without any supplies leftover?

Answers

You need to find the least common multiple of 6 and 3. This the minimum whole number that contains the number of boxes in one package of pasta and the number of jars in one package of sauce. t he least common multiple of 6 and 3 is 6. This means that Manny can make 6 dinners, which will be made with 1 package of pasta (6 boxes ) and two packages of sauce (2 * 3 = 6 jars).

1/3 (n+1)+2=1/6 (3n-5)

Answers

$\frac { 1 }{ 3 } \left( n+1 \right) +2=\frac { 1 }{ 6 } \left( 3n-5 \right)$

$\n \n 6\left\{ \frac { 1 }{ 3 } \left( n+1 \right) +2 \right\} =6\cdot \frac { 1 }{ 6 } \left( 3n-5 \right)$

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