Addison has x pennies and y nickels. She has a minimum of 16 coins worth no more
than $0.40 combined. Solve this system of inequalities graphically and determine
one possible solution.

Consider the given radical,

Factorize the number,

Consider the following properties,

Then the radical can be simplified as,

Thus, the radical is simplified as,

The slope of line passing through the pair of points (4,3) and (2,2) is 1/2.

Slope is simply expressed as change in y-values over the change in x-values.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1( 4,3 )

Point 2( 2,2 )

Slope m = ?

Plug the given coordinates into the slope formula and solve for m.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 2 - 3 )/( 2 - 4 )

Slope m = ( -1 )/(-2 )

Slope m = ( 1 )/( 2 )

Slope m = 1/2

Therefore, the slope of the line segment with the given coordinates is 1/2.

Learn more about slope formula here: brainly.com/question/24578307

#SPJ1

If y varies directly with x, that means there is going to be a constant that connects both the x and y variable.

The appropriate direct variation equation is stated above, and that is;

y = 8/3x

⇒In this case what is in the brackets is being treated as being the term . so this means that if we are to expand then we expand the whole term in full detail.

⇒In this case we have x+7 as the term of the expression which means when we expand we are going to expand the whole term x+7

[tex]=(x+7)^{2} \\=(x+7)(x+7)[/tex]

The third option is the answer.

GOODLUCK!!

Answer:

260+325 = 585

260 where instructors that were full time and 325 were already full time. this is correct if I am reading your question correctly if not the answer is likely 260

Answer:

-4/7, 18/7

Step-by-step explanation:

[tex]4x+7y=18 \\ \\ 7y=-4x+18 \\ \\ y=-\frac{4}{7}x+\frac{18}{7}[/tex]

A.) [tex]x = 2[/tex]

B.) [tex]x=1[/tex] (Nothing further can be done with this.)

C.)  [tex]x=2[/tex]

_____________________________________

Hope this helps! If not, feel free to comment below on the matter and I'll see what else I can do to assist you further. If it did help though, feel free to lmk! Thanks and good luck!

Answer:

-4

Step-by-step explanation:

14= -5c-6

+6 +6

________

20 = -5c

÷-5 ÷-5

________

-4 = c

Let x represent the number of math problems that you completed.

Let y represent the number of biology problems that you completed

From the information given,

You completed a total of 15 problems. This means that

x + y = 15

If each math problem takes 5 minutes to complete, it means that the time to complete x math problems is 5 * x = 5x

If each biology problem takes 3 minutes to complete, it means that the time to complete y biology problems is 3 * y = 3y

If you spent 51 minutes working on your homework problems for math and

biology, it means that

5x + 3y = 51

Thus, the system of equations is

x + y = 15

5x + 3y = 51

The amount earned by $3000 deposited in the account after 6 months is $60.30

What does quarterly compounding mean?

Quarterly compounding means that the interest is computed and credited to the account every quarter, that is every 3 months, in other words, our future value formula would indicate quarterly interest rate rather than an annual interest rate

FV=PV*(1+r)^N

FV=the amount in the account after 6 months=unknown\

PV=initial amount deposited in the account=$3,000

r=quarterly interest rate=4%/4=0.01

N=number of quarters in 6 months=2

FV=$3000*(1+0.01)^2

FV=$3000*(1.01)^2

FV=$3000*1.0201

FV=$ 3,060.30

amount earned=FV-PV

amount earned=$3060.30-$3000

amount earned=$60.30

Find out more about quarterly compounding on:https://brainly.com/question/13091080

#SPJ1

The terminating category consists of 2%, 3/4, and 105/15.

The non-terminating category consists of  1/3, 15/7, and 81/11.

Given: 2%, 3/4, 105/15, 1/3, 15/7, 81/11

To determine whether these fractions are terminating or non-terminating decimals,

2% = 2/100 = 0.02

It is a terminating decimal.

3/4 = 0.75

It is a terminating decimal.

105/15 = 7

It is an integer, hence terminating.

1/3 = 0.3333333...

It is a non-terminating decimal.

15/7 = 2.14285714

It is a non-terminating decimal.

81/11 = 7.36363636

It is a non-terminating decimal.

To learn more about terminating and non-terminating decimals visit:

https://brainly.com/question/2909511

#SPJ9

Answer:

AAAAAAAAAA

Step-by-step explanation: AAAAAAAAAAAAAAAA

Surface area of a sphere: 4 π r^2

Where:

r = radius = d/2 = 14/2 = 7

Replacing

SA = 4 π 7^2 = 4 π 49 = 196π cm2

Answer:

Defined: M-N

Not defined: Q+P, M+P, L-N

Step-by-step explanation:

Just took the test

When an image is dilated by a factor of 3, the statement about the image of the figure that is true is Both the area and the perimeter increase.

When a shape is dilated, the effect on the shape is that its dimensions are made to be longer. For instance, a shape dilated by 2 would see all its dimensions increase by 2.

In the case of a figure that is dilated by a factor of 3, it means that the shape would increase by 3 in size.

The effect of this is that the perimeter would increase by 3. The area of the figure would also increase thanks to the increase in dimensions by 3.

Options for this question include:

Find out more on dilation at https://brainly.com/question/3457976

#SPJ1

Using it's concept, the probability that the subject​ lied, given that the test yields a positive result is of 9/11 = 0.8182 = 81.82%.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

In this problem, we want to find the probability that the subject​ lied, given that the test yields a positive result, hence:

From the table, we have that:

Hence the probability is given as follows:

p = 45/55 = 9/11 (simplifying by 5)

p = 9/11 = 0.8182 = 81.82%.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

The formula for the area(A) of the sector is,

Given:

Therefore,

Simplify

Hence,

a. Absolute value function the reference beam is g(x) = |8x/5|.

b. g(x) = +8x/5 ; x < 5 and g(x) = -8x/5 > 5.

For the given function;

Part a: The reference beam is passing from the points;

(x₁, y₁) = (5, 8)

(x₂, y₂) = (0, 0)

Then the slope of the line is -

m = (y₂ - y₁)/(x₂ - x₁)

Put the values ;

m = (0 - 8)/(0 - 5)

m = 8/5

The equation of the line is;

y - y₁ = m(x - x₁)

Put the values;

y - 0 = 8/5(x - 0)

y = 8x/5

Or in absolute modulus function for the path of reference beam; y = |8x/5|.

Part b: absolute function in terms of piecewise function;

g(x) = +8x/5 ; x < 5 as the slope is increasing.

and g(x) = -8x/5 > 5.;  as the slope is decreasing.

To know more about the absolute value function, here

https://brainly.com/question/24368848

#SPJ13

The longest and shortest possible lengths of the third side of the triangle are 4.9 cm and 11.1 cm.

It states that the opposite side of a triangle is divided into segments by each angle bisector that are proportional in length to the adjacent sides.

Given:

An angle bisector divides the opposite side of the triangle into segments 6 cm and 4 cm long.

Second side of the triangle is 7.4 cm.

We have to calculate the longest and shortest possible lengths of the third side of the triangle.

By Angle Bisector Theorem we can solve this problem,

In the triangle ABC, AD is the angle that bisects angle A, placing D on side BC.

Now, BD / DC = AB / AC

BC = 6 + 4 = 10 cm

Angle bisector divides BC into 2 segments,

BD = 6 cm

CD = 4 cm

If AB = 7.4 cm,

6/4 = 7.4 / AC

AC = 7.4(4) / 6

AC = 29.6 / 6

AC = 4.94 cm (shortest possible length of the third side of the triangle)

If AC = 7.4 cm

6/4 = AB/7.4

AB = 6(7.4)/4

AB = 44.4/4

AB = 11.1 cm (longest possible length of the third side of the triangle)

To know more about Angle Bisector Theorem visit:

https://brainly.com/question/28565813

#SPJ9

The expression m = a + n + p can be written as a = m - n - p after making the subject a.

It is defined as the combination of constants and variables with mathematical operators.

The expression is:

m = a + n + p

To solve for a make the subject as a:

a = m - n - p

Thus, the expression m = a + n + p can be written as a = m - n - p after making the subject a.

The question is incomplete.

The complete question is:

Solve for a, if the expression is m = a + n + p.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

The given table shows that does not show a proportional relationship, as the ratio between the output and the input is not the same for all terms of the table.

A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, as defined below.

y = kx

In this problem, we have that:

To verify if it shows a proportional relationship, we have to divide the output by the input in each case, hence:

Due to the different constant for 4 pounds, the table does not show a proportional relationship,

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Answer:

3/26

Step-by-step explanation:

you simply divide both numbers by there largest lcm which is 3

9/3=3

78/3=26

Together 3/26

Notice that the parent function of y is:

Now, recall that a function h(x) translated n units to the left is represented by:

translated m units up :is represented by

reflected across the x-axis :is represented by

vertically compressed by a factor of 1/k :is represented by

Therefore, y is f(x) translated 3 units to the left, reflected over the x-axis, vertically compressed, and translated 2 units up.

y is its parent function translated 3 units to the left, reflected over the x-axis, vertically compressed, and translated 2 units up.

Based on the annuity payment that Marie will make and the number of years, the nt value that she will use in her formula is 360 months.

The nt value is the number of periods that Marie will need to pay her annuity payment. This value can be yearly, monthly, weekly and even daily.

As the mortgage compounds monthly in this instance, the nt value will need to be monthly as well.

To find the nt value, the formula is:
= Number of years x number of compounding periods per year

= 30 x 12 times a year

= 360 months

Find out more on annuity period at https://brainly.com/question/14702616

#SPJ1

Answer:

360

Step-by-step explanation:

i did that and i got it right

Answer:

I don't know

Step-by-step explanation:

I don't know

Dividing (2x³ - 9x² + 14x - 2) by (x - 1) with synthetic division method given the remainder 5 and the quotient 2x² - 7x + 7 + (5/x-1).

So, 2x³ - 9x² + 14x - 2 ÷ x - 1 by synthetic division as follows:

2x³ - 9x² + 14x - 2 ÷ x - 1:

Therefore, dividing (2x³ - 9x² + 14x - 2) by (x - 1) with synthetic division method given the remainder 5 and the quotient 2x² - 7x + 7 + (5/x-1).

Know more about synthetic division here:

https://brainly.com/question/24662212

#SPJ13

Based on the number of states and their electoral votes in the 2020 presidential election, the intervals with 11 states are:

The graph on electoral votes by state in 202, gives the number of electoral votes as a range from 0 to 21 but in intervals of 3.

In 0 - 3 electoral votes, the number of states is 16.

In 3 - 6 electoral vote interval, number of states is 11.

In 6 - 9 electoral vote interval, number of states is 11.

In 9 - 12 electoral vote interval, number of states is 3.

In 12 - 15 electoral vote interval, number of states is 3.

In 15 - 18 electoral vote interval, number of states is 3.

In 18 - 21 electoral vote interval, number of states is 4.

The two intervals with 11 states are therefore 3 - 6 and 6 - 9.

Find out more on intervals and range at https://brainly.com/question/4679134

#SPJ1

Explanation

In the question, we are given that

First, we will get the standard deviation of the sample mean as

Then, we can find the probability that the sample mean will be less than $21,635 for a sample of 193 persons

Therefore, using the z score calculator

Answer: 0.7232

The recipe of the junk calls for 16/7 cups of sugar

From the question, the given parameters are:

Total number of cups = 8

Let the number of cups of sugar be x and the number of cups of flour be y

So, we have the following equation

x + y = 8

Also, we have:

The recipe uses 1/4 cup more sugar, so the amount of sugar equals half the amount of flour

This means that

(1 + 1/4) * x = 1/2 * y

Evaluate the sum and the products

So, we have

5/4x = 1/2y

Make y the subject

y = 5/2x

Substitute y = 5/2x in x + y = 8

x + 5/2x = 8

Evaluate the sum

3.5x = 8

Divide by 3.5

x = 16/7

Hence, the cups of sugar is 16/7

Read more about fractions and proportions at

https://brainly.com/question/18437927

#SPJ1

the height in the first case will be 191 cm and the weight in the second case will be 106 kg.

We are given the function as:

BSA = √( w h / 3600)

where:

h = height

w = weight

BSA = body surface area

1) Now, for w = 68 kg and BSA = 1.9, we get the height as:

1.9 = √( (68) h / 3600)

3.61 = 68 h / 3600

12,996 = 68 h

h = 12996 / 68

h = 191.12 cm

h ≈ 191 cm

2) for h = 165 cm and BSA = 2.2, we get the weight as:

2.2 = √( w (165) / 3600)

4.48 = 165 w / 3600

17424 = 165 w

w = 17424/ 165

w = 105.6 kg.

w ≈ 106 kg

Therefore, we get that, the height in the first case will be 191 cm and the weight in the second case will be 106 kg.

Learn more about height here:

https://brainly.com/question/12446886

#SPJ1