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3 years ago

5

Cheryl has 56$ and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequa

lity is n, the maximum number of notebooks she can buy with her money?

1 answer:

kirill115 [55]3 years ago

5 0

N=35 is the answer to your question.

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14. Subtract: 5 - 3 1/3.<br><br> A. 313<br> B.223<br> C. 12/3<br> D.23

exis [7]

Answer:

The answer is 1 $\frac{2}{3}$

The work is shown on the picture.

Step-by-step explanation: Hope this helps and mark brainliest if ya want :)!

6 0

3 years ago

When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there w

Lady bird [3.3K]

Answer:

a. $y=6(1.7472)^x$

b. $y=6e^{0.558t}$

c.13.3 months

Step-by-step explanation:

a.-Given the first term at $t_0$ is 6 and the second term at $t_3$ is 32.

-Let's take rabbit population as a function of time to be

$y=ab^x$

where y is the population at time x and a the initial population at $t_0\\$

#We substitute our values to calculate the value of the constant b:

$y_x=ab^x\\\\y_3=ab^3\\\\32=6b^3\\\\b=1.472$

#Replace b in the population function:

$y=ab^x, b=1.7472,a=6\\\\\therefore y=6(1.7472)^x$

Hence, the regression for the rabbit population as a function of time x is $y=6(1.7472)^x$

b. The exponential function in terms of base $e$ is usually expressed as:

$A=A_0e^{kt}$

Where:

$A_0$ -is the initial population at $t_o$

$A$ -is the population at time t.

$k-$ is the exponential growth constant.

$e-$ the exponent

Our function in terms of base exponent is rewritten as:

$y=A_0e^{kt}$

#Substitute with actual figures to solve for t:

$y=A_0e^{kt}, y=32, xt=3, A_0=6\\\\32=6e^{3k}\\\\3k=In (32/6)\\\\k=0.5580$

Hence, the regression equation in terms of base e is $y=6e^{0.558t}$

c. We substitute y with any number higher than 10,000 to estimate the time for the rabbits to exceed 10,000.

-We know that $y=6e^{0.558t}.$

Therefore we calculate t as(take y=10001):

$y=6e^{0.558t}, y=10001\\\\10001=6e^{0.558t}\\\\1666.8333=e^{0.558t}\\\\0.558t= In 1666.8333\\\\t=13.2951$

Hence, it takes approximately 13.3 months for the population to exceed 10000

3 0

4 years ago

Lines a and b are parallel and cut by the transversal t label each of the 7 unknown angles

Nataliya [291]

Answer:

7

Step-by-step explanation:

you need to add 5 then minus 3 then add 5 again

5 0

3 years ago

Help !!!!!!!!!!!!!!!! plz

vovikov84 [41]

Answer:

5 > n + 10

8 x 7 < n

n/3 + 1

6 x 8 - 10 < n

n - 1 x n

n x -n + 7

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3 years ago

Part a: an angle is two collinear rays with a common endpoint. find an example that contradicts this definition. how would you c

VladimirAG [237]

The definition to make it more accurate is the common endpoint is called the vertex of the angle and the two rays are called the sides of the angles

Point is an example of undefined term

Given statement is an angle is two collinear rays with a common endpoint

We need to find an example that contradicts this definition and an example of an undefined term

An example that contradicts this definition is

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

An an example of an undefined term is point

A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.

An angle is formed by two rays which begin at the same point The rays are called the sides of the angle; the point of meeting is called the vertex.

Learn more about Angles here

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7 0

2 years ago