Find the value of x and y.

Julieta has at most $1 worth of coins altogether, then the inequality of the given situation is $0.1p + $0.25n ≤ $1.00.

Based on the given conditions,

Julieta has p pennies and n nickels.

He has at most $1 worth of coins altogether.

Inequality, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Since p time = $0.1

So n times = $(0.1)n

Since p quarter = $0.25

So n quarters = $(0.25)n

Total of p times and n quarters = $[(0.1)p + (0.25)n]

This total answer has a minimum of $1 worth of mins all to get he.

So,

$[(0.1p + 0.25n)] ≤ 1

Therefore,

Julieta has at most $1 worth of coins altogether, then the inequality of the given situation is $0.1p + $0.25n ≤ $1.00.

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the prime numbers smaller than 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

let's find the sums that give us 50:

3+47=50

7+43=50

13+37=50

19+31=50

so the answer is four different ways.

Answer:

-2.86, -0.37, 0.19, 0.91, 1.46

Step-by-step explanation:

the negatives will always be the least, hope this helps!

The constant of proportionality is 12

Number of fresh jars of honey stored by The Busy Bee in 3 hours= 36 jars

Number of fresh jars of honey stored by The Busy Bee in 7 hours= 84 jars

So, In 3 hours = 36 jars

In 1 hour = 36/3 = 12 jars

Similarly, In 7 hours = 84 jars

In 1 hour = 84/7 = 12 jars

So, 12 is the constant number

Let x represent the number of hours and y the total number of jars stored by The Busy Bee after x hours

So, the equation can be formulated as:

y = 12x

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Answer:

81 cm³

Step-by-step explanation:

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given z-score

STEP 2: Draw the required region on a graph

STEP 3: Find the probability using the normal distribution tabele

-0.24 = -(0.20 + 0.04)

It can be seen from the table above that the Probability will be the circled portion on the table.

Hence,

Answer:

Step-by-step explanation:

y=4x3

Answer:

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

First, rearrange -3x - 4y = 5 into y = mx + c form.

-3x - 4y = 5

-4y = 3x + 5

y = -3/4x - 5/4

Since parallel lines have the same gradient, equation of line is y = -3/4x + c.

Substitute (4,-2) into the equation to find c.

-2 = -3/4(4) + c

c = 1

Hence, equation of line is y = -3/4x + 1.

It is given that the total area of the beach is 100 yd².

We have to find the length x and the width y that the organization shoul use to use the least amount of fencing as possible. it means that we have to find the dimensions for which parameter is leasr.

The perimeter of a rectangle is:

In option 1, the length is 50 yards and the width is 20 yards. then the perimeter will be (using the previous formula) equal to 140.

In option too the perimeter will be 130.

in option 3 the perimeter will be 134.44

and, in option 4 it will be 146.36

If the line is paralell to y = 5x + 7, it will have the same slope, which is 5

The general equation of a line is: y = mx + b

we know that the slope m = 5, and to find b we will use the point (3, -5)

using 3 for x and -5 for y:

y = mx + b

y = 5x + b

-5 = 5(3) + b

-5 = 15 + b

-5 - 15 = b

-20 = b

b = -20

Then the equation is: y = 5x - 20

Answer:

y = 5x - 20

Let 'x' and 'y' be the cost of one rose bush and one bunch of ornamental grass.

Given that Castel paid $69 for 5 rose bushes and 8 bunches of grass,

Also, given that Sumalee paid $42 for 2 rose bushed and 8 bunches of grass,

Now that we have two equations and two variables. These can be solved using the Elimination Method.

Subtract equation (2) from (1) as follows,

Substitute this value in (1) and obtain the corresponding y-value,

So the simultaneous solution is obtained as,

Thus, the cost of one rose bush is $9 and the cost of one bunch of ornamental grass is $3.

Water :60 ounces

Salt solution:60 ounces

Explanation

Step 1

set the equations

Let x represent the amoun of water forthe solution

let y represents the amount of solution ( 40% salt)

so

a)the scientific mixes water with the solution to obtain 120 ounces, so

b)the mixture is 20% salt

so

salt fromwater+salt from solution( 40%) = salt in the solution (20%)

so

hence, the amount of salt solution is 60 ounces

,now to find x, replace the y value in equation (1)

so, water : 60 ounces

therefore, the answer is

Water :60 ounces

Salt solution:60 ounces

I hope this helps you

We are given the following line equation:

We are asked to determine the x and y-intercepts of the line. To do that, we will convert the given equation into the following form:

Written in that form the value of "a" is the x-intercept and the value of "b" is the y-intercept. Therefore, we need to divide the given equation by 20 in order to get a 1 on the right side:

Simplifying we get:

Therefore, the y-intercept is 4 and the x-intercept is 5.

Taxi fares start at $3.50 and go up to $0.80 for every mile traveled is an example of a linear equation. Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Taxi fares start at $3.50 and go up to $0.80 for every mile traveled. This relationship is given by the linear equation.

the link between a ball's height after being kicked off the ground and its proximity to the kicker. This relationship is given by the quadratic equation.

The amount in a savings account earns 0.7% interest each month compounded. This relationship is given by the exponential equation.

A car's slowing down for a curve and then reaccelerating to its usual speed. Its links time and speed.  This relationship may be given by the linear equation.

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To find the probability between two z-scores on a normal distribution, we can use a z-score table.

A z-score table gives the probability of a data less than the corresponding z-score, like in the picture:

So, if we want the probability between 1.98 and -1.15, we need to do the following:

Since the normal distribution in symmetric around z = 0, we have that:

And since the whole distribution give a 100% probability, or an area of 1, we have that:

So, in the end, we have:

So, the total probability is:

Given the following:

a)

b) The critical value is -1.645

Also

c) Conclusion:

We fail to reject the test, since there is no enough evidence to conclude that the proportion of wrong tests is less than 10%

Answer:

(-5, 101) or (1, -7)

Step-by-step explanation:

The gradient of a function is zero when its first differential is zero

Taking first derivative of y = x³ + 6x² - 15x + 1

we get
[tex]\dfrac{dy}{dx} = \dfrac{d}{dx}(x^3+6x^2-15x\:+\:1)[/tex]

[tex]= \dfrac{d}{dx}(x^3)+ \dfrac{d}{dx}(6x^2) - \dfrac{d}{dx}(15x)\:+\: \dfrac{d}{dx}(1)\\\\[/tex]

[tex]= 3x^2 + 2(6x) - 15 + 0\\\\\\= 3x^2 + 12x - 15x\\[/tex]

Set this first differential to 0, find the solution set for x

[tex]3x^2 + 12x - 15x =0[/tex]

This is a quadratic equation which will have 2 solutions for x.

First divide throughout by 3
[tex]= > x^2 + 4x - 5 = 0[/tex]

Factor the term:
[tex]= > x^2 + 4x - 5 = 0\\\\== > (x -1)(x + 5) = 0\\== > x - 1 =0 \text { or } x + 5 =0\\\\[/tex]

This means x = 1 or x = -5 is the solution set

To find the y value corresponding to these values of x, plug in each of these x values in the original equation and solve for y

Plug in x = 1 into equation x³ + 6x² - 15x + 1

=> 1³ + 6(1)² - 15(1) + 1

=> 1 + 6 - 15 + 1

=> -7

So one point is (1, -7)

Looking at the choices we can eliminate the first and  last choices

Looking at choices 2 and 3 we see that only one of them has x = -5 which is the other solution value. This is the second choice

So the correct answer is second choice
(-5, 101) or (1, -7)

Note we did not have to go through the pain of computing y for x = -5

The slope is given by:

from the graph we notice that the line passes through the points (0,2) and (3,0), plugging this values into the equation above we have:

therefore the slope is m=-2/3.

The y intercept is the value of y when x=0; from the graph we conclude that b=2.

The equation of the line is:

The quadratic function is expressed as

f(x) = - x^2 + 10x - 22

The y intercept is the value of y or f(x) when x = 0

Thus, to find the y intercept, we would substitute x = 0 into the function. Thus, we have

f(0) = - 0^2 + 10 * 0 - 22

f(0) = 0 + 0 - 22

f(0) = - 22

Thus, the y intercept of the function f is (0, - 22)

Answer: 159,000

Step-by-step explanation:

The number after the nine (one) is under five, so you keep the number the same instead of rounding up :)

Hence option A is the correct answer

The missing amount is A. 790 B. 20 C. 90 D. 75 E. 20 F. 275

Subtract non-cash assets from total current assets. This number represents the cash amount on the balance sheet. Below is a simple way to calculate income, capital, and total cost of income: Net Income = Ending Equity  Starting Equity from the Balance Sheet Total Expenses = Net Income  Net Income.

Everything a company owns must come from debt-equity owners or equity so the equation must be balanced. Equity equals the balance sheet total minus all liabilities. All these figures are on the company's balance sheet. For homeowners, equity is the value of the home minus any outstanding mortgage debt or liens.

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We have the function:

We then replace the values of b and c, that is:

From this expression, we have that the solution is 13.

As given by the question

(6)

There are given that the function:

Now,

For the even:

So,

From the function

So, the given function is not even.

Then,

For odd:

So, the given function is not odd.

Hence, the given function is neither odd nor even.

When two equation are parallel it means they have the same slope.

You have the equation:

You can identify the slope(m) as the number next to the x in equation that follow the next form:

Then, the equation parallel to the given equation has an slope of:

Now, if we have a point of the equation we can find the value of the b (y-intercept) in the slope - intercept form of a lineal equation:

The given point is ( -4 , 2)

You have the next values:

m= - 1/2

y= 2

x= -4

Then we substitute that values:

And clear the b:

Now, we get the value of the slope (m= - 1/2) and the y-intercept (b=0)

We can write the equation in slope - intercept form:

or:

Answer:

4

Step-by-step explanation:

Given expression:

[tex](3^{8} \cdot 2^{-5} \cdot 9^{0})^{-2} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

Any number to the power of zero is 1:

[tex]\implies (3^{8} \cdot 2^{-5} \cdot 1)^{-2} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

[tex]\implies (3^{8} \cdot 2^{-5})^{-2} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (a^b \cdot c^d)^p=a^{bp}\cdot c^{dp}:[/tex]

[tex]\implies 3^{(8 \cdot -2)} \cdot 2^{(-5 \cdot -2)} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \left(\dfrac{2^{-2}}{3^{3}}\right)^{4} \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \dfrac{\left(2^{-2}\right)^{4} }{\left(3^{3}\right)^{4} } \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \dfrac{2^{(-2 \cdot 4)}}{3^{(3\cdot 4)}} \cdot 3^{28}[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot \dfrac{2^{-8}}{3^{12}} \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \dfrac{1}{a^n}=a^{-n}[/tex]

[tex]\implies 3^{-16} \cdot 2^{10} \cdot 2^{-8} \cdot 3^{-12} \cdot 3^{28}[/tex]

Gather like terms:

[tex]\implies 2^{10} \cdot 2^{-8} \cdot3^{-16} \cdot 3^{-12} \cdot 3^{28}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies 2^{(10-8)}\cdot3^{(-16-12+28)}[/tex]

[tex]\implies 2^{2}\cdot3^{0}[/tex]

Any number to the power of zero is 1:

[tex]\implies 2^{2}\cdot 1[/tex]

[tex]\implies 2^2[/tex]

Therefore, the solution is:

[tex]\implies 2^2=2 \times 2=4[/tex]

We can divide the hexagon into 6 equilateral triangles, and call the side 'x'. I will draw the situation:

Every line is x because the hexagon is regular (all sides have the same length). Therefore we can find x, because two times x is 18'':

The hexagon has the same area of 6 equilateral triangles with the side equal to x. The formula of the area of an equilateral triangle is:

Therefore the area of the hexagon will be:

Rounding it will be 210 square inches.

a)

From the information given, the ferris wheel makes a complete rotation in 16 minutes.

A complete rotation is 360 degrees. This means that each angle is

360/12 = 30 degrees

Lets us assume that the starting point is A. As the ferris wheel move towards the highest point at D, the angle covered is 30 + 30 + 30 = 90 degrees

We have the following equations

360 = 16

90 = (90 x 16)/360 = 4

b) Recall, 1 minute = 60 seconds

Thus, 16 minutes = 16 x 60 = 960 seconds

It x

(5x + 12) = 18

Remove the parenthesis from the right hand side:

5x + 12 = 18

Subtract 12 from both sides:

5x + 12 - 12 = 18 - 12

5x = 6

Divide both sides by 5:

5x/5 = 6/5

x = 6/5 = 1.2

⚠ If you are in a rush, only read the bold.

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To make the table first replace the given values ​​of x in the equation, operate, and with it, you get their corresponding coordinates in y. Then you have

If x = -2

If x = -1

If x = 0

If x = 1

If x = 2

Finally, the table of the equation

and its corresponding graph will be

Therefore, the correct answer is option A.