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2 years ago

Your group has 10 pennies and 10 nickels. Use these pennies and nickels to solve the following problems.

Mathematics

1 answer:

Citrus2011 [14]2 years ago

5 0

Answer:

p=8

n=3

Step-by-step explanation:

let number of pennies=p

number of nickels=n

p+n=11

n=11-p

1*p+5*n=23

p+5(11-p)=23

p+55-5p=23

55-4p=23

4p=55-23=32

p=32/4=8

n=11-8=3

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2 years ago

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2 years ago

Read 2 more answers

20. A ball is dropped from a height of a little over 5 feet, and the height is measured at small intervals. The table below show

nekit [7.7K]

Step 1:

a) Write the quadratic model

a = -15.64

b = -1.24

c = 5.23

$P(t)=-15.64t^2\text{ - 1.24t + 5.2}3$

b) t = 0.30

$\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}$

c) t = 0.52 seconds

$\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}$

d) 0.30 is more likely to be relaible.

$\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}$

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1 year ago

Jonesville and smithville each have a population of size 2600 at time t = 0, where t is measured in years. Suppose jonesville'

ehidna [41]

Answer: B. Jonesville is growing linearly and Smithville is growing exponentially.

Step-by-step explanation:

Linear growth :

Population grow by a constant amount after each time period.
The rate of change of dependent variable with respect to independent variable is a constant.
It is represented by line on graph.
Equation for linear growth : $y=mx+c$ , c = initial value and m is the rate of change of y with respect to x.

Exponential growth :

Population grow by a constant ratio .
It is represented by a curve on graph.
Equation for exponential growth : $y=a(1+r)^x$ , a = initial value and r is rate of growth ( in decimal ) and x is time period.

Given : Jonesville's population grows by 170 people per year.

i.e .Population grow by a constant amount per year.

⇒ Jonesville is growing linearly.

The population of smithville grows by 7% per year.

i.e. Population grow by a constant ratio.

⇒Smithville is growing exponentially.

Hence, the true statement is "B. Jonesville is growing linearly and Smithville is growing exponentially."

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3 years ago