A 5-column table with 6 rows titled Number of cans collected. Column 1 has entries 7, 8, 10, 11, 11, 14. Column 2 has entries 16, 17, 18, 18, 24, 25. Column 3 has entries 28, 29, 30, 30, 35, 37. Column 4 has entries 38, 40, 40, 41, 41, 41. Column 5 has entries 42, 42, 42, 42, 42, 43.
Students from Grover Middle School are recycling aluminum cans. The table shows the total number of cans brought in each school day for a period of six weeks. They collected a total of 862 cans. Use the drop-down menus to define the terms.

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

To solve more questions on equation modelling, visit the link below-

brainly.com/question/9144182

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Answer:

theres no picture availible

Step-by-step explanation:

Answer:

5 + 3a

Step-by-step explanation:

5 - a + 4a =

5 + ( -a + 4a ) =

5 + ( 4a - a ) =

5 + ( 3a )

Answer:

y-5=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

Answer:

y=2x-1

Step-by-step explanation:

trust me, it's that

Answer:

ab, ac, bc

Step-by-step explanation:

a=30, b=60, c=180-(30+60) = 180-90=90

Answer:

6/5

Step-by-step explanation:

Answer:

the slope is -6/5

Step-by-step explanation:

Answer:

-4 - 16

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

you just use a calculator lol :)

Answer:

X= -4

Step-by-step explanation:

Hello. For to solve that, you need to use the sustitution method:

1. You need clear X in the first equation and put in the second

X+Y = -10

X = -10-Y

2.  Y = X-2, then you replaced the X in this equation:

Y = (-10-Y) - 2

Y+2=-10-Y

2Y=-10-2

2Y= -12

Y= -12/2

Y=-6

3. Now you use the Y value for to solve X:

X=-10-Y, then

X =- 10-(-6)

X = -4

Answer:

Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of annual deductions to bear by Marlene

Required deductions = $15,000

Contribution to cost of health insurance plan per-year = $4800 * 10% = $480

Contribution to cost of life insurance plan per-year = $900 * 20% = $180

Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320

Step 2: Calculation of annual paychecks

Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020

Step 3: Calculation of bimonthly paychecks

Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50

Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Answer:

The system has infinitely many solutions

Step-by-step explanation:

There are no variables left. And the final equation is correct.

It means the system is going to be correct for any value of variables. So there are infinitely many solutions

Answer:

Step-by-step explanation:

There are two equations in the question

[tex]2x+6y=12\ -->Equation\ 1\\\\x+3y=6\ -->Equation\ 2\\\\[/tex]

If we take 2 common from the first Equation it becomes,

[tex]2(x+3y)=12\\\\x+3y=12/6\\\\x+3y=6\\[/tex]

Now we can see that both the Equations are similar which means they would have the same graph.

Since both the equations have the same equation of line they have infinitely many solutions which means both the lines intersect at each and every point on the line, since both the lines are on top of each other.

We can also see that in Step 4 where 12 = 12 there are no variables in the equation which also means that the work is correct and Sean can say that the system of equations is consistent and dependent which means they have infinite number of solutions

Answer:

7x+1

Step-by-step explanation:

Use the distributive property to multiply 7 by x−1.

7x−7+8

Add −7 and 8 to get 1.

7x+1

Answer:

70 miles.

Step-by-step explanation:

In this question we are given the speed of the migrating bird. If we remember the definition of speed we will remember that speed is distance the object/body traveled, divided by the time it took the object/body to travel this distance.

Solution:

Firstly we need to find out what distance will the bird travel in 1 hour.  We can easily do that science we know the distance it travels in 3 hours. So we just use the property of a fraction that states that if we multiply or divide the denominator and the numerator by the same number we will get a fraction of the same value but written a bit differently. So we divide the numerator and the denominator by 3 and get

[tex]\frac{42 miles}{3 hours}[/tex] = [tex]\frac{14 miles}{1hour}[/tex]

Now we know what distance the bird travels in one hour so we can easily figure how much the bird will travel in 5 hours by multiplying the numerator and the denominator by 5. So we do...

[tex]\frac{14 miles}{1 hour}[/tex] = [tex]\frac{70 miles}{5 hours}[/tex]

And we get that the bird will travel 70 miles in 5 hours.

Answer:

The same as the top also thanks for the points and did you get a warning for your last post

Step-by-step explanation:

Answer:

(-5)

Step-by-step explanation:

(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh

Answer: w=−4

Step-by-step explanation:

hoped this helped

Quadrilaterals with same length and breadth or height have same areas.

Step-by-step explanation:

You can prove this by drawing two quadrilaterals individually and then by calculating there areas.

Answer:

Step-by-step explanation:

From the information given:

[tex]\mathbf{H_o: \mu = 9.7 \ hours}[/tex]

[tex]\mathbf{H_1: \mu > 9.7 \ hours}[/tex]

The type 1 error is rejecting [tex]\mathbf{H_o}[/tex] when

The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.

Answer:

49 cents per ounce

Step-by-step explanation:

Answer:

[tex]x = 14ft[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 21ft[/tex]

Model:

[tex]3\ ft = 2\ in[/tex]

Required

Determine the length of the replica

Represent the model as a ratio:

[tex]Ratio = 3\ in:2\ ft[/tex]

Convert to fraction

[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]

Represent the actual lengths as a ratio

[tex]Ratio = 21\ ft : x[/tex]

Where x is the length of the replica

Convert to fraction

[tex]Ratio = \frac{21\ in}{x}[/tex]

Equate both ratios (because they are in proportion)

[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]

[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]

Cross Multiply:

[tex]3 * x = 21 * 2\ ft[/tex]

[tex]3x = 42\ ft[/tex]

Solve for x

[tex]x = \frac{42ft}{3}[/tex]

[tex]x = 14ft[/tex]

Hence, the length of the replica is 14ft

Answer:

a or c

Step-by-step explanation:

Answer:

it would be B

Step-by-step explanation:

because if you look at the x and y axis thats the x axis

Answer: number 1

Step-by-step explanation:

Answer: Negative (negative 10)

Step-by-step explanation:

Given that:

- 20, blank, A, B, 0, 5, C, blank, D in Increment of 5

-20, - 15, - 10, - 5, 0, 5, 10, 15, 20

The point A on the number line is - 10 ;

The opposite of point A : will be

- (point A) = - (-10)

The opposite of point A should be (10) which is the equivalent point to the right of the number line and can be represented as - (-10)

Answer:

-(-10)

Step-by-step explanation:

the other person is correct

edge 2020/2021

Answer:

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30102[/tex]

Thus, option A is true.

Step-by-step explanation:

Given the expression

[tex]log\left(\frac{1}{2}\right)[/tex]

[tex]=\log _{10}\left(2^{-1}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0[/tex]

[tex]\log _{10}\left(2^{-1}\right)=-1\cdot \log _{10}\left(2\right)[/tex]

so the expression becomes

[tex]=-1\cdot \log _{10}\left(2\right)[/tex]

[tex]\mathrm{Multiply:}\:1\cdot \log _{10}\left(2\right)=\log _{10}\left(2\right)[/tex]

[tex]=-\log _{10}\left(2\right)[/tex]

substituting the value of log 2 = 0.30103

[tex]\:=-0.30102[/tex]

Thus,

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30103[/tex]

Therefore, option A is true.

Answer:

A. -4< n<8 B.-4< n< 8

Step-by-step explanation:

Answer:

D.-4<n<8

Step-by-step explanation:

Answer:

A) y = -1/2x + 2

Step-by-step explanation:

The line is negative, so you will have a negative slope

The line is crossing the y- axis at 2 so the y- intercept is 2.

Now do rise over run or rise/run

The lines rise is 2 and the run is 4

2/4 = 1/2 and since the line is negative the slope is negative -1/2

y = -1/2x + 2

Hope this helps ya!!

Answer:

The answer is D

Step-by-step explanation:

The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to