If y varies directly with x, and y is 14 when x is 2, what is the value of x when y is 35? x =

Answer:

Step-by-step explanation:

18n - 7p-15n = 5p

To solve for n first make n the subject

Group like terms

That's

18n - 15n = 5p + 7p

Simplify

3n = 12p

Divide both sides by 3 to make n stand alone

That's

3n/3 = 12p/3

We have the final answer as

Hope this helps you

Answer:

D) n = 4p

Step-by-step explanation:

18n - 7p - 15n = 5p

18n - 15n = 5p + 7p

Add like terms

3n = 12p

Divide both sides by 3

3n/3 = 12p/3

n = 4p

Answer:

$27.83

Step-by-step explanation:

If Darrien spends 26.50, multiply that by 0.05 (26.50×0.05) which is 1.325 which rounds to 1.33. $1.33 is the amount of tax he has to add. For the full price you would do 26.50+1.33 to get 27.83.

Answer:

The answer is 27.83

Step-by-step explanation:

Thank the person above me.

Answer:

1) 8%

2)230%

3)34%

4)105%

5)70%

6)4.9%

Answer:

8%, 230%, 34%, 105%, 70%, 4.9%

Step-by-step explanation:

basically hundredths place is the ones place of a percentage. that is how you figure everything out.

Can I be Brainliest? TYSM

1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

To learn more about proportion:

https://brainly.com/question/17526911

#SPJ4

The expression represents the number of coins Arthur is x + 80 cents.

The term expression in math refers a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given that Arthur has x pennies. His father gave him 6 dimes, and his mother gave him 4 nickels.

And we need to find expression represents the number of coins Arthur has now.

From the given question, here we have to convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

AS we know that one penny = 1 cent, one dime = 10 cents, one nickel = 5 cents and

Therefore, x pennies = x cents

Then 6 dimes = 60cents

Then 4 nickels = 20 cents

Therefore, the Arthur's coins in total is written as,

=> (x + 60 + 40) cents

=> (x + 80) cents.

Therefore, the resulting expression is written as (x + 80) cents.

To know more about Expression here.

https://brainly.com/question/14083225

#SPJ4

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

b = 21

Step-by-step explanation:

If there are 5 arithmetic means between 5 and b and the last term is 25, then we can find the value of b by using the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1)d

where a_n is the nth term, a_1 is the first term, n is the number of terms, and d is the common difference.

We know that there are 5 arithmetic means between 5 and b. Therefore, there are 7 terms in total (including 5 and b). We also know that the last term is 25. So we have:

a_7 = 25 a_1 = 5 n = 7

We can use these values to solve for d:

a_n = a_1 + (n - 1)d 25 = 5 + (7 - 1)d d = 4

Now that we know d, we can find b by using the formula for the fifth term:

a_5 = a_1 + (5 - 1)d a_5 = 5 + (4)(4) a_5 = 21

Therefore, b = 21.

19. The common points that both planes share would establish the line of intersection.

20. There is no junction between these lines since parallel lines do not intersect.

21. Normally, a line that is drawn through the places that each of these planes have in common will be where they intersect.

22. The complete plane BCD (or BCQ) is formed by their intersection.

23. There is no junction between these lines since parallel lines do not intersect.

19. The intersection of planes ABP and BCD: These two planes may or may not intersect, depending on their orientation and positioning. If they do intersect, the intersection would be a line rather than a single point. The line of intersection would be determined by the common points shared by both planes.

20. The intersection of lines \(RQ^{(harr)\) and \(RO^{(harr)\): The notation "\(RQ^{(harr)\)" and "\(RO^{(harr)\)" suggests that these are parallel lines. Parallel lines do not intersect, so there is no intersection between these lines.

21. The intersection of planes ADR and DCQ: Similar to the situation in question 19, the intersection of these planes would typically be a line, determined by the common points shared by both planes.

22. The intersection of planes BCD and BCQ: The planes BCD and BCQ are the same plane since they share the same three points, B, C, and D. Therefore, their intersection is the entire plane BCD (or BCQ).

23. The intersection of lines \(OP^{(harr)\) and \(QP^{(harr)\): Similar to question 20, the notation "\(OP^{(harr)\)" and "\(QP^{(harr)\)" suggests that these are parallel lines. Since parallel lines do not intersect, there is no intersection between these lines.

Learn more about parallel lines on:

https://brainly.com/question/30097515

#SPJ11

Answer:

To calculate the surface area and volume of a cylinder, we can use the following formulas:

a) Surface Area of a Cylinder:

The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

Where:

SA = Surface Area

r = Radius of the base (half the diameter)

h = Height of the cylinder

Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.

Substituting the values into the formula, we get:

SA = 2π(8)² + 2π(8)(20)

= 2π(64) + 2π(160)

= 128π + 320π

= 448π

So, the surface area of the cylinder is 448π square yards.

b) Volume of a Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:

V = π(8)²(20)

= 64π(20)

= 1280π

The volume of the cylinder is 1280π cubic yards.

The product that is  undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.

Looking at the product of matrix, note that to multiply  the two matrix, the column of the first matrix needs to have the same or equal to the row of the 2nd matrix.

And in this case (propensity), it is not satisfied by the first  option because:

C =  3 x 1  and

O= 2 x 1  matrix

In this case CD is therefore undefined.

So we can say that The product that is  undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.

Learn more about matrix from

https://brainly.com/question/94574

#SPJ1

Software to rotate △ABC 75°, I can see that this image coincides with △A″B″C″.

What is a math conjecture?

A rotation of 75° (because 30 + 45 = 75) should map  △ABC to △A″B″C″. By using the

software to rotate △ABC 75°, I can see that this image coincides with △A″B″C″.

Learn more about conjecture

brainly.com/question/24881803

#SPJ4

Answer:

Step-by-step explanation:

Hello! So with finding out the total + tax, we just multiply $12.50 by .15 (that is our 15% tip). Then we add that new number to $12.50 and that is the total with the tip! Let's do it,

12.50 * .15 = 1.88

12.50 + 1.88 = $14.38

Hope that helps, let me know if you have questions!

Answer:Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

−

28+3i

Step-by-step explanation:

Answer:

534,000

Step-by-step explanation:

12 days pass from may 10 to may 22 so we replace x with 12

190,000(1.09)^12
190,000(2.81266)

534406.309

But rounded to the nearest thousands

534,000

Hopes this helps please mark brainliest

Answer: The answer is given below

Step-by-step explanation:

From the question, we are informed that the money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Therefore, the formula for the money he can spend will be:

m = w - t

The amount of money that he has to spend if he earns £120 a week and pays £41 in tax will be:

m = w - t

m = £120 - £41

m = £79

Answer:

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/12 ("f of x equals x divided by 12")

Step-by-step explanation:

Answer:

The base angles of an isosceles trapezoid are equal in measure (there are in fact two pairs of equal base angles, where one base angle is the supplementary angle of a base angle at the other base

Step-by-step explanation:

Answer:the answer is 5.7 because 4 times 4 is 16 and 16 plus 16 is 32 the square root of 32. ^2 square root of 32 is 5.656 the. You need to round it to the nearest tenth which would be 5.7.

Answer:

5.7

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

Area = pie * r^2

Radius = 4 (half a diameter)

3.14 * 4^2

3.14 * 16

50.24

Answer:

\(m=-2\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-5, 13)

Point (2, -1)

Step 2: Find slope m

Answer:

-2

Step-by-step explanation:

The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).

To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]

=> (-22 - λ)(23 - λ) - (54)(-9) = 0

=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0

=> λ^2 - 45λ + 162 = 0

Solving this quadratic equation, we find the eigenvalues:

λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))

λ = (45 ± √(2025 - 648)) / 2

λ = (45 ± √1377) / 2

The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.

Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.

For λ₁ = (45 + √1377) / 2:

(A - λ₁I)v₁ = 0

=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0

Solving this system of equations, we find the eigenvector v₁.

Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.

The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.

Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.

Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).

Since z(t) = x(t), the solution for z(t) is the same as x(t).

Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).

For more such questions on equations, click on:

https://brainly.com/question/17145398

#SPJ8

Answer:

4

Step-by-step explanation:

Let x be the unknown number.

\(\begin{aligned}&\textsf{A number is raised to the third power}: & x^3&\\&\textsf{Subtracted from 15}: & 15-x^3&\\&\textsf{To get 7}: & 15-x^3&=7\end{aligned}\)

Solve the found equation for x:

\(\begin{aligned}&\textsf{Given}: & 15-x^3&=7\\&\textsf{Subtract $15$ from both sides}: & -x^3&=-8\\&\textsf{Divide both sides by $-1$}: & x^3&=8\\&\textsf{Rewrite $8$ as $2^3$}: &x^3&=2^3\\&\textsf{Cube root both sides}: & x&=2\end{aligned}\)

Therefore, the number squared is:

\(\implies x^2=2^2=4\)

If \(1-4x\ge0\), then by definition of absolute value

\(|1-4x| = 1-4x > 7 \implies 4x < -6 \implies x < -\dfrac32\)

On the other hand, if \(1-4x<0\), then

\(|1-4x| = -(1-4x) = -1 + 4x > 7 \implies 4x > 8 \implies x > 2\)

So, the overall solution to the inequality is interval union

\(\left(x < -\dfrac32\right) \cup (x > 2)\)

In 2009, the naming rights for the 122 teams in the four major US professional sports leagues (NFL, NBA, MLB, and NHL) earned those franchises approximately $3.6 billion.

In 2009, the naming rights deals for the 122 teams across the NFL, NBA, MLB, and NHL generated approximately $3.6 billion for those franchises. These deals allow companies to attach their name to a stadium or arena, which can provide valuable exposure and brand recognition.

The amount earned from these deals can vary widely based on factors such as the popularity of the team and the location of the stadium or arena. Despite fluctuations in the economy and the sports industry, naming rights deals have remained a significant source of revenue for professional sports franchises.

To learn more about franchises; click here:

https://brainly.com/question/3687222

#SPJ11

The cylinder with maximum volume has a radius of 6.5 feet and a height of 2.5 feet.

Let the radius and height of the cylinder be r and h, respectively. Since the cylinder is inscribed in the cone, its height and radius must satisfy the following conditions:

The height of the cylinder must be equal to the height of the cone, i.e. h = 2.5 feet.

The radius of the cylinder must be less than or equal to the radius of the base of the cone, i.e. r ≤ 6.5 feet.

To maximize the volume of the cylinder, we can use the formula for the volume of a cylinder:

V = πr^2h

Substituting h = 2.5, we get:

V = 2.5πr^2

Now, we can express the volume of the cylinder in terms of a single variable, r. To do this, we use the fact that the cylinder is inscribed in the cone, so the cross-sectional area of the cylinder is a fraction of the cross-sectional area of the cone. Specifically, the ratio of the areas is equal to the square of the ratio of the radii:

r/6.5 = h/2.5

Solving for h, we get:

h = 2.5r/6.5

Substituting into the formula for the volume of the cylinder, we get:

V = 2.5πr^2 = 2.5πr^2(h/2.5) = πr^2(2r/6.5)

Simplifying, we get:

V = (4π/13)r^3

To find the value of r that maximizes V, we can take the derivative of V with respect to r and set it equal to zero:

dV/dr = (4π/13)3r^2 = 0

Solving for r, we get:

r = 0

This is not a valid solution since r must be greater than zero. Therefore, we must look for a maximum value of V on the interval 0 < r ≤ 6.5.

To do this, we can evaluate V at the endpoints of the interval and at any critical points in the interior. Since we already know that there are no critical points, we just need to evaluate V at the endpoints:

V(0) = 0

V(6.5) = (4π/13)(6.5)^3 ≈ 724.06

Therefore, the cylinder with maximum volume has a radius of 6.5 feet and a height of 2.5(6.5/6.5) = 2.5 feet.

To learn more about volume click on,

https://brainly.com/question/30355664

#SPJ4

The measure of angle x in the right triangle is approximately 14.6 degrees.

The figure in the image is that of two right angles.

First, we determine the hypotenuse of the left-right angle.

Angle θ = 30 degrees

Adjacent to angle θ = 10 cm

Hypotenuse = ?

Using the trigonometric ratio.

cosine = adjacent / hypotenuse

cos( 30 ) = 10 / hypotenuse

hypotenuse = 10 / cos( 30 )

hypotenuse = \(\frac{20\sqrt{3} }{3}\)

Using the hypotenuse to solve for x in the adjoining right triangle:

Angle x =?

Adjacent to angle x = \(\frac{20\sqrt{3} }{3}\)

Opposite to angle x = 3

Using the trigonometric ratio.

tan( x ) = opposite / adjacent

tan( x ) = 3 / \(\frac{20\sqrt{3} }{3}\)

tan (x ) = \(\frac{3\sqrt{3} }{20}\)

Take the tan inverse

x = tan⁻¹(  \(\frac{3\sqrt{3} }{20}\) )

x = 14.6 degrees

Therefore, angle x measures 14.6 degrees.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

we have the ratio

447 to 166.

so

447:166

Simplify

Its a irreducible fraction

so

answer is