Joseph would like to make sixteen pounds of a coffee blend at a cost of $6 per pound. He blends Ground Chicory at $5 a pound with Jamaican Blue Mountain at $9 per pound. How many pounds of each type of coffee should he use?

here (I need 20 characters in order to send this so don't mind this text)

Answer:

oki so the picture is down below and this is for K12 just a heads up and the points are (0,6) and (0,4)

Step-by-step explanation:

Answer:

(1,-6)

Step-by-step explanation:

4x - y = 10

4x -(-6) = 10

4x + 6 = 10

    - 6    - 6

4x = 4

/4    /4

x = 1

(x, y) -> (1,-6)

Check your answer:

4x - y = 10

4(1) - (-6) = 10

4 + 6 = 10

10 = 10

This statement is correct

Hope this helps!

Answer:

x = 10

Step-by-step explanation:

\(5x + 19 = 7x - 1 \\ (corresponding \: \angle s) \\ \\ 5x - 7x = - 1 - 19 \\ \\ - 2x = - 20 \\ \\x = \frac{ - 20}{ - 2} \\ \\ x = 10\)

Step-by-step explanation:

we are given a function and the inputs (x)

so we just need to substitute the values of inputs (x) to the function and simplify

our given function:

\( \displaystyle \: f(x) = \frac{x}{2} - 1\)

when x is -2 then

\( \displaystyle \: f( - 2) = \frac{ - 2}{2} - 1\)

simplify division:

\( \displaystyle \: f( - 2) = - 1 - 1\)

simplify subtraction:

\( \displaystyle \: f( - 2) = - 2\)

when x is 0 then

\( \displaystyle \: f(0) = \frac{0}{2} - 1\)

simplify division:

\( \displaystyle \: f(0) = 0 - 1\)

simplify substraction:

\( \displaystyle \: f(0) = - 1\)

when x is 4 then

\( \displaystyle \: f(4) = \frac{4}{2} - 1\)

simplify division:

\( \displaystyle \: f(4) = 2 - 1\)

simplify subtraction:

\( \displaystyle \: f(4) = 1\)

when x is 8 then

\( \displaystyle \: f(8) = \frac{8}{2} - 1\)

simplify division

\( \displaystyle \: f(8) = 4 - 1\)

simplify subtraction:

\( \displaystyle \: f(8) = 3\)

Answer:

this is your answer .just put value in equation

Step-by-step explanation:

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Answer:

Tu divises 3.50$ par 24 cookies donc environ 14 centimes

The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.

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

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given the data in the question;

Point A: ( -6,1 )

x₁ = -6

y₁ = 1

Point B: ( 8,-7 )

x₂ = 8

y₂ = -7

Now, plug the given x and y values into the slope formula above and simplify:

\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)

Therefore, the slope of the line is -4/7.

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Answer:

c. The period is 2π

Step-by-step explanation:

The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.

For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.

This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)

Answer:

take 10% out of 100 = 90

then find 10% of 90 = 9

add that to 90 = 99

The price of the bike in april is 99$

psl mark me as brailyest:)

The corrective action that offices that consistently charged excessive fees would be subject to by JTFH is a. The office will immediately be terminated from the Program.

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JTH Financial, LLC has affiliate offices that engage in tax preparation for clients around the United States but they monitor these offices to ensure that their tax preparation fee averages is not excessive. If an office consistently has excessive fees charged to its customers, then JTH Financial terminates them from the program to protect its customers.

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The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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Answer:

1. 30.48cm

2. 5.77yds

3. 540min

4. 1200cm

5. 8.45qt

6. 168hr

7. 4535.92grams

8. 15yd

9. 32.808ft

Step-by-step explanation:

hope this helps :)

The 3 parts of a parabola are the vertex ,the focus and the directrix . Other parts includes  the axis (parallel to the y axis),the focal length , the semi-latus rectum etc.

Parabola's vertex

In addition to serving as the parabola's opening point, the vertex also serves as a location indicator. Typically, the point V of the vertex is used to represent it.

Directrix

The directrix of the parabola is a straight line that, together with the focus (a point), is used in one of the most common definition of parabolas.

Focus

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

Ok

Step-by-step explanation:

Answer:

US basketball legend Kobe Bryant and his daughter Gianna were among nine people killed in a helicopter crash in the city of Calabasas, California. Bryant, 41, and Gianna, 13, were travelling in a private helicopter when it came down and burst into flames. The LA county sheriff said there were no survivors.

Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

Answer:

2*2*2

Step-by-step explanation:

i think it prob wrong or its 8

La ecuación cuadrática y² - 8 es una diferencia de cuadrados, cuya forma es (y + 2√2) · (y - 2√2).

Tenemos una ecuación cuadrática de la forma y² - a², donde a es un número real. Según el álgebra de los números reales, esta expresión si corresponde a una diferencia de cuadrados, definida a continuación:

y² - a² = (y + a) · (y - a)

Si tenemos a² = 8, entonces a = √8 = 2√2 y se tiene la siguiente expresión:

y² - 8 = (y + 2√2) · (y - 2√2)

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Answer:

24

Step-by-step explanation:

For example, the ordered pair x + 6y = 4 answer is 24

The required ordered pair is the solution of the equation x + 6y = 4 is (1, 1/2).

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Given equation,
x + 6y = 4,

In order to determine the ordered pair for the given equation, we must assign the value of the one variable, so the satisfied value of the other value of the independent variable will be determined, and the pair will be said to be the required ordered pair.

Now,
Put x = 1
1 + 6y = 4
y = 4 -1 / 6
y = 1/2

Thus, the required ordered pair is the solution of the equation x + 6y = 4 is (1, 1/2).

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Rounding to two decimal places:

3.08 we must eliminate the other numbers because

4 in lower than 5, so the 8 stay the same.

The solution is 3.08

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Step-by-step explanation:

R= 2,045.1071428571 espero sea lo que necesitas :)

Answer:

21)  x = 22.9,  y = 38.4

22)  x = 14.0,  y = 98.0

Step-by-step explanation:

As the interior angles of a triangle sum to 180°, the measure of the third angle of the given triangle is 100°.

\(\implies 180^{\circ}-52^{\circ}-28^{\circ}=100^{\circ}\)

As we know all interior angles and the length of one side of the triangle, we can use the Law of Sines to find the the values of x and y.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines (sides)} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

From inspection of the given triangle:

Substitute these values into the Law of Sines formula:

\(\dfrac{x}{\sin 28^{\circ}}=\dfrac{y}{\sin 52^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)

Solve for x:

\(\implies \dfrac{x}{\sin 28^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)

\(\implies x=\dfrac{48\sin 28^{\circ}}{\sin 100^{\circ}}\)

\(\implies x=22.882268...\)

\(\implies x=22.9\; \sf (nearest\;tenth)\)

Solve for y:

\(\implies \dfrac{y}{\sin 52^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)

\(\implies y=\dfrac{48\sin 52^{\circ}}{\sin 100^{\circ}}\)

\(\implies y=38.408020...\)

\(\implies y=38.4\; \sf(nearest\;tenth)\)

Therefore, the values of x and y (rounded to the nearest tenth) are:

\(\hrulefill\)

As we know the lengths of two sides of the triangle and their included angle, we can use the Cosine Rule to find the measure of side x.

\(\boxed{\begin{minipage}{6 cm}\underline{Cosine Rule} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

From inspection of the given triangle:

Substitute these values into the Cosine Rule and solve for x:

\(\implies x^2=11^2+19^2-2(11)(19)\cos 47^{\circ}\)

\(\implies x^2=482-418\cos 47^{\circ}\)

\(\implies x=\sqrt{482-418\cos 47^{\circ}}\)

\(\implies x=14.0329856...\)

\(\implies x=14.0\; \sf (nearest\;tenth)\)

Now use the Law of Sines to calculate angle y.

As angle y is obtuse, and the sine of an obtuse angle is the same as the sine of its supplement, then:

\(\implies \dfrac{x}{\sin 47^{\circ}}=\dfrac{19}{\sin (180-y)^{\circ}}\)

Rearrange the equation to isolate y:

\(\implies \sin (180-y)^{\circ}=\dfrac{19\sin 47^{\circ}}{x}\)

\(\implies (180-y)^{\circ}=\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{x}\right)\)

\(\implies y^{\circ}=180^{\circ}-\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{x}\right)\)

Substitute the found value of x and evaluate:

\(\implies y^{\circ}=180^{\circ}-\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{14.0329856...}\right)\)

\(\implies y^{\circ}=180^{\circ}-81.9795708...^{\circ}\)

\(\implies y^{\circ}=98.020429...^{\circ}\)

\(\implies y=98.0\; \sf (nearest\;tenth)\)

Therefore, the values of x and y (rounded to the nearest tenth) are:

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

g = 10

f = 21

Step-by-step explanation:

Given equations:

24 = g + 14

f - 9 = 12​

24 = g + 14

Subtract 14 from both sides

24 - 14 = g + 14 - 14

10 = g

g = 10

Check:

24 = g + 14

24 = 10 + 14

24 = 24

f - 9 = 12​

Add 9 to both sides

f - 9 + 9 = 12​ + 9

f = 21

Check:

f - 9 = 12​

21 - 9 = 12

Answer:

Below.

Step-by-step explanation:

The zeroes are at x = -2, 0, 1 and 3 so the factors are

(x +2)

x

(x - 1)

(x - 3)

Answer:

??????

Step-by-step explanation:

Saan po jan sasagutan

Plug in -3 for f(x) into the first equation.

-3 = x^2 - 5x + 3

x^2 - 5x + 6 = 0

Factor!

(x - 3)(x - 2) = 0

Set each binomial equal to 0 to get the x-value of the point.

x = 3

x = 2

Plug each x-value back into the first equation (the answer should be -3, though it's always good to check) to get the y-value.

(3)^2 - 5(3) + 3

9 - 15 + 3

-6 + 3

-3

(2)^2 - 5(2) + 3

4 - 10 + 3

-6 + 3

-3

Ordered pairs of the solutions for this system of equations: (2, -3) and (3, -3)

Hope this helps!! :)

Answer:

X > 2

Step-by-step explanation:

Answer:

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