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at store A, pencils are sold on individually. The cost y of x pencils is represented by the equation y = 0.55x. The costs of pen

Helga [31]

Answer:

The pencils at store A cost more

Step-by-step explanation:

The complete question in the attached figure

store A

we have

$y=0.55x$

This is a proportional relationship between the total cost (y) and the number of pencils (x)

The constant of proportionality is equal to the slope

The slope or unit rate is equal to

$m=\$0.55\ per\ pencil$

Store B

This is a proportional relationship between the total cost (y) and the number of pencils (x)

The constant of proportionality or slope is equal to

$k=\frac{y}{x}$

For (6,3.06)

substitute

$k=\frac{3.06}{6}$

$m=\$0.51\ per\ pencil$

The linear equation at store B is

$y=0.51x$

Verify each statement

case 1) The pencils at store A cost more

The statement is true

Because, one pencil at store A cost $0.55 and one pencil at store B cost $0.51

case 2) The pencils at store A cost $0.27 each

The statement is false

Because, one pencil at store A cost $0.55

case 3) The pencils at store B cost $0.30 each

The statement is false

Because, one pencil at store B cost $0.51

case 4) The pencils at store B cost more

The statement is false

Because, pencils at store A cost more

3 0

3 years ago

A group of 2n people, consisting of n men and n women, are to be independently distributed among m rooms. Each woman chooses roo

vfiekz [6]

Step-by-step explanation:

Assume that

$X_i = \left \{ {{1, If , Ith, room, has,exactly, 1,man, and , 1,woman } \atop {0, othewise} \right.$

hence,

$x = x_1 + x_2+....+x_m$

now,

$E(x) = E(x_1+x_2+---+x_m)\\\\E(x)=E(x_1)+E(x_2)+---+E(x_m)$

attached below is the complete solution

7 0

3 years ago

A scientist cools some water at a constant rate. the graph and table show how the temperature of the water changes with time.

irina1246 [14]

Answer:

C

Step-by-step explanation:

The easiest way to determine this is to realize that time is the independent variable (n) and temperature is the dependent variable (a).

From the table, we can plug in the two points (n) into n of each equation and see if that equals the temperature values (a).

A little thinking would get us to plug the numbers in C first.

$a(n)=46-(n-1)*4\\46-(5-1)*4=30$

Works!!

Now, second number:

$a(n)=46-(n-1)*4\\46-(6-1)*4=26$

Works!!

Hence, C is the correct answer.

6 0

3 years ago

Read 2 more answers

I don't know this please help me no links

Lelechka [254]

Answer:

I can see it very well try it again

3 0

3 years ago

Karleigh walks 5/8 mile to school every day.How far does she walk to school in 5 days

liberstina [14]

Answer:

$3\frac{1}{8}=3.125$ miles

Step-by-step explanation:

We have been given that Karleigh walks 5/8 mile to school every day.

To find the distance walked by Karleigh in 5 days we will multiply distance traveled in one day by total number of days.

$\text{Distance walked by Karleigh in 5 days}=\frac{5}{8}\times 5$

$\text{Distance walked by Karleigh in 5 days}=\frac{25}{8}$

$\text{Distance walked by Karleigh in 5 days}=3\frac{1}{8}=3.125$

Therefore, Karleigh walked $3\frac{1}{8}=3.125$ miles to school in 5 days.

4 0

4 years ago