A store owner has some coffee worth $1.80 per kg and some worth $2.80 per kg. He wants to make 60 kg of a mixture that will be worth $2.20 per kg. How many kgs of each type of coffee should he use?​

The area of the circle of radius = 5cm is 78.54cm² because the formula of the area of a circle is Πr².

To find the area of a circle, you need to know the radius (r) or the diameter (d). The formula for the area of a circle is:

A = π\(r^{2}\)

or

A = (π/4)\(d^{2}\)

where A is the area and π (pi) is a mathematical constant approximately equal to 3.14159.

The formula for the area of a circle is:

A = π\(r^{2}\)

where A is the area and r is the radius of the circle.

If the radius of the circle is 5cm, then we can substitute this value into the formula and calculate the area as:

A = π\((5)^{2}\)

A = 25π

A ≈ 78.54 square centimeter

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Answer:

x = 100°

Step-by-step explanation:

x = 100° because the two angles are corresponding.

If my answer is incorrect, pls correct me!

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-Chetan K

The projected balance of cash at the end of August is $38,000. The correct option is D.

To calculate the projected balance of cash at the end of August, we need to consider the cash balance at the beginning of the month, cash collections, and cash payments for August.

Given that the cash balance on July 31 was $32,000.00, we start with this amount.

Cash collections for August are $52,000.00, which means this amount is added to the cash balance.

Next, we consider cash payments for August, which include purchases of direct materials and operating expenses. The total cash payments for August are $20,000 (purchases of direct materials) + $26,000 (operating expenses) = $46,000.00. This amount is subtracted from the cash balance.

Finally, we calculate the projected balance of cash at the end of August by adding the cash collections and subtracting the cash payments from the beginning cash balance:

Projected cash balance at the end of August = Beginning cash balance + Cash collections - Cash payments

= $32,000 + $52,000 - $46,000

= $38,000

Therefore, correct option is D.

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Complete question is:

Berman Company is preparing its budget for the third quarter. Cash balance on July 31 was $32,000.00. Assume there is no minimum balance of cash required and no borrowing is undertaken. Additional budgeted data are provided here:

                                         July           Aug             Sep

Cash collections       $51,000.00 $52,000.00 $50,000.00

Cash payments

Purchases of direct materials     23,000     20,000        24,000

Operating expenses       32,000      26,000    22,000

Capital expenditures      7,000       9,000      13,000

Calculate the projected balance of cash at the end of August.

A. $23000

B. $29000

C. $107000

OD. $38000

Answer:

(D)  \(\dfrac{27}{16}\)

Step-by-step explanation:

Volume of a Cylinder =\(\pi r^2h\)

Cylinder A

Height = 3 Units

Radius = 3 Units

\(Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units\)

Cylinder B

Height = 4 Units

Radius = 2 Units

\(Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units\)

\(\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}\)

The correct option is D

A.Vinegar and soda

-A salt is a substance that contains a cation which is a metal ion or an ammonium ion and an anion derived from an acid. It is an ionic compound that can be formed by the neutralization reaction of an acid and a base.

-For example; a reaction between a soluble base sodium hydroxide and an acid dilute sulfuric acid results to the formation of salt sodium salt. There are also other methods of generating a cell apart from neutralization, such as precipitation reactions and direct synthesis among others,

Answer:

18

Step-by-step explanation:

just replace the x and y with the given values like so (3)4+0.5(4)3=x and solve for the new x value

The required simplified solution of the given expression is 113.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= x⁴+ 0.5y³

Put x = 3 and y = 4
= 3⁴ + 0.5[4]³
= 81 + 0.5[64]
= 81 + 32
= 113

Thus, the required simplified solution of the given expression is 113.

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The cone's volume, to the nearest cubic inch, is approximately 67 cubic inches.

To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cone.

Given that the height of the cone is 4 inches and the height is half the diameter of the base, we can determine the radius as follows:

Let's assume the diameter of the base is d. Since the height is half the diameter, the height h is equal to d/2.

Given that h = 4, we can substitute this value into the equation:

4 = d/2

To find the diameter, we multiply both sides of the equation by 2:

8 = d

Now that we know the diameter is 8 inches, we can calculate the radius by dividing the diameter by 2:

r = 8/2 = 4 inches

Substituting the values of the radius (r = 4) and height (h = 4) into the volume formula:

V = (1/3)π(4^2)(4)

V = (1/3)π(16)(4)

V = (1/3)(3.14159)(16)(4)

V ≈ 67 cubic inches

Therefore, the cone's volume, to the nearest cubic inch, is approximately 67 cubic inches.

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Answer:

(DOES NOT BELONG) Is Rational

(DOES NOT BELONG)  Is not Irrational

(DOES NOT BELONG) Is not an integer

(DOES NOT BELONG) Not a Whole

(DOES NOT BELONG) Not Natural

Step-by-step explanation:

This is a fraction with a square root.

Fractions:

Are Not Whole (square root cancels this)

Are Rational BUT since this has a square root, it is not.

Are not natural

Are not integers (Whole numbers that ARE NOT fractions)

So basically from what I have learned, square root cancels literally everything.

An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

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Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

The interest tax shield of 1.26% lowers Summit's WACC by 0.76%

Let’s calculate the interest tax shield on Summit Builders' debt. Interest tax shield = Interest expense x tax rate

Summit Builders’ debt is 1.50 times the value of its equity.

So, the total value of its capital is equal to 1 + 1.50 = 2.50

The weight of debt is equal to debt/(equity+debt) = 1.50/2.50 = 0.6

The weight of equity is equal to equity/(equity+debt) = 1/2.50 = 0.4

The interest expense = 6% of debt

The tax rate is given as 21%.

Therefore,Interest tax shield = Interest expense x tax rate= 6% x 21%= 1.26%

The interest tax shield from its debt lowers Summit's WACC by the following amount:

WACC = wdebt*Kd*(1-t) + wEquity*Ke= 0.6 * 6% * (1 - 21%) + 0.4 * Ke= 2.4% + 0.4 * Ke

The interest tax shield of 1.26% lowers Summit's WACC by:1.26% x 0.6 = 0.756%≈0.76%

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If the coefficient of determination is 0.94, we can say that ninety-four percent of the total variation of the dependent variable is explained by the independent variable. The correct answer is: ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

This means that there is a strong positive relationship between the two variables. The coefficient of determination, represented as R², measures the proportion of the total variation in the dependent variable that is explained by the independent variable. In this case, an R² of 0.94 indicates that 94% of the total variation in the dependent variable can be explained by the independent variable. The coefficient of determination does not provide information about the direction or strength of the relationship. The correct answer therefore is ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

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The equation tells us that the time spent preparing for class is a linear function of the number of students in the class.

The equation that represents the amount of time Professor Z spends preparing for a class is given as:b = a + 0.05xa is the number of students in the class, and b is the amount of time Professor Z spends preparing for the class.

The given equation gives us several pieces of information, as mentioned below:

i. Increasing the number of students by 1 will increase the time spent preparing for class by 0.05 hours.

ii. The time spent preparing for class increases by 0.05 hours for each additional student.

iii. Increasing the number of students by 5% will increase the time spent preparing for class by 5% x 0.05 = 0.0025 hours.

iv. The time spent preparing for class increases by 2 hours for each additional student. When the time spent preparing for the class is 2 hours, Professor Z prepared 0.05 hours for each additional student.

Therefore, the equation tells us that the time spent preparing for class is a linear function of the number of students in the class.

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The second equation is= x+y=125.

According to our question-

After the first quick wash, each additional quick wash costs $5.

Y premium washes cost $8 per after the first one, which cost $8.

They combined rapid and premium washes to make $775, for a total profit of $(5x+8y), or $775. The initial equation reads

5x+8y=775.

2. They had washed 125 vehicles, x using rapid wash and y using premium wash, for a total of x+y. The second equation is then

x+y=125.

Hence, The second equation is= x+y=125.

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To find the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0, we first need to find the characteristic equation by assuming that y = e^(rt), where r is a constant. Substituting this into the differential equation, we get r^3 - 6r^2 - 7r = 0.

Factoring this, we get r(r - 7)(r + 1) = 0. So the roots of the characteristic equation are r1 = 0, r2 = 7, and r3 = -1.

Therefore, the general solution of the differential equation is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants that can be determined using initial or boundary conditions.

In summary, the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0 is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants.

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To find the corresponding element in the range of the function f(x) = (6x - 24) / 5, we need to evaluate the function using the given element in the domain.

Let's assume the given element in the domain is 'a'.

To find the corresponding element in the range, we substitute 'a' into the function and solve for f(a):

\(f(a) = (6a - 24) / 5\)

Therefore, the corresponding element in the range for the element 'a' in the domain is f(a) = (6a - 24) / 5.

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Answer:

A,B,E,F those the answer i have EOC review packet done

Step-by-step explanation:

Points, lines and planes are undefined terms in geometry.

The true statements are:

First, we test each option to determine the true and false options.

(a) S, V and U are collinear

Points that are collinear are on the same line

S, V and U are not collinear, because they are not on the same line.

Hence, (a) is false

(b) Q, S, T and U are coplanar

Points that are coplanar are on the same plane

Q, S, T and U are not coplanar, because they are not on the same plane.

Hence, (b) is false

(c) V lies on line ST

Point V is the point of intersection of line ST and plane A

This means that point V lies on line ST and plane A

Hence, (c) is true

(d) ST is perpendicular to plane A

Line ST intersects with plane A at point V at 90 degrees.

Perpendicular lines and planes meet at 90 degrees

Hence, (d) is true

(e) ST is perpendicular to RV

Because line ST intersects with plane A at point V at 90 degrees.

Any line drawn from point V would be perpendicular to line ST

Hence, (e) is true

(f) P, R and Q are collinear

Points that are collinear are on the same line

P, R and Q are not collinear, because they are not on the same line.

Hence, (f) is false

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The client's fracture is likely to be graded as a Gustilo-Anderson Type III fracture, indicating extensive soft tissue damage and contamination.

The Gustilo-Anderson classification system is used to assess the severity of open fractures. It takes into account the extent of soft tissue damage, contamination, and associated vascular injury. In this case, the client's fracture is described as having extensive soft tissue damage and being highly contaminated. These factors align with the characteristics of a Type III fracture. Type III fractures are considered severe and require immediate medical attention due to the significant soft tissue injury and potential complications. It is important for the healthcare team to carefully manage and treat this type of fracture to minimize the risk of infection and promote proper healing.

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Answer:

$11

Step-by-step explanation:

Answer:

$2.20 per pound

Step-by-step explanation:

11 ÷ 5 = 2.2

2.2 = 2.20

$2.20 per pound.

Hope this helped! Have a GOOD DAY!

Answer:

C

Step-by-step explanation:

Answer:

Angle B should be 37°

Step-by-step explanation:

All i fugured out was the angle measure, which should be 90+53=143 and 180-143=37°, I’m just not sure what the other stuff means/needs.

Answer:

The value of N = 5 Step-by-step

Write a Python program that accepts an integer (n) and computes the value of n+nn+nnn.

Sample value of n is 5

Python int(x, base=10):

The function returns an integer object constructed from a number or string x, or return 0 if no arguments are given. If x is a number, return x.__int__(). For floating point numbers, this truncates towards zero.

Answer:

The answer would be 78

Step-by-step explanation:

4 x 12 = 48

48 + 30 = 78

Therefore the answer is 78

The most correct answer is D ( 3,-2) . Because in the 2 equations above when you enter the value x= 3 in equation I and II, it produces y=-2.

In the question above, there are two equations.

y=-(½)x - ½ (eq I)

y=-(⅔)x (eq II)

To find which x and y values satisfy these two equations in options A,B,C,D, we have to substitute one by one to prove:

A.(-2, 3)

we substitute the value x=-2 into equation I

y=-(½)x - ½

y= -(½) (-2) -½

y=1-½

y= ½ ( This means that option A is not valid, because it should give y a value of 3)

B.(-1,0)

we substitute the value x=-1 into equation I

y=-(½)x - ½

y= -(½) (-1) -½

y= ½ - ½

y= 0

Then, we try to substitute the value x=-1 into equation II

y=-(⅔)x

y= -(⅔) (-1)

y= ⅔ ( This means option B is not valid, because it should result in y being 0)

C.(1, 2)

we substitute the value x=1 into equation I

y=-(½)x - ½

y= -(½) (1) -½

y= -½ - ½

y= -1 ( This means option C is not valid, because it should result in y being 2)

D. (3,-2)

we substitute the value x=3 into equation I

y=-(½)x - ½

y= -(½) (3) -½

y= -3/2- ½

y=-4/2

y= -2

Then, we try to substitute the value x=3 into equation II

y=-(⅔)x

y= -(⅔) (3)

y=-2

The option D satisfies equations I and II,

Therefore the answer is option D.

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Answer:

In explanation.

Step-by-step explanation:

A: (-6, -6)

B: (4, -8)

C: (2, -2)

D: (-3, -1)

Part II. In the Holiday Inn, the cost per night is $80 plus a fee of $10 for parking, we will assume that the cost for the parking is a one-time fee, therefore, if n is

Y = 3x + 210

y = 10x

Set the two equations equal to each other:

10x = 3x +210

Subtract 3x from both sides:

7x = 210

Divide both sides by 7:

x = 30

Answer: 30 shirts

Answer:

30 T-shirts

Step-by-step explanation:

Given system of equations:

a) y = 3x + 210

b) y = 10x

1. Substitute the given value of y into y = 3x + 210:

⇒ 10x = 3x + 210

2. Solve for x:

⇒ 10x = 3x + 210 [subtract 3x from both sides]

⇒ 10x - 3x = 3x - 3x + 210

⇒ 7x = 210 [divide both sides by 7]

⇒ 7x ÷ 7 = 210 ÷ 7

⇒ x = 30 (# of T-shirts)

3. Find the value of y by substituting the given value of x into y = 10x:

⇒ y = 10(30) [multiply]

⇒ y = 300 (total cost of the T-shirts)

4. Check your work:

a) y = 3x + 210

⇒ 300 = 3(30) + 210

⇒ 300 = 90 + 210

⇒ 300 = 300 ✔

b) y = 10x

⇒ 300 = 10(30)

⇒ 300 = 300 ✔

∴ Sam needs to sell 30 T-shirts to break even.

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Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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Answer: Rs 1469

Step-by-step explanation:

Coat of item = RS 1300

Value added tax = 13%

The price of the item will then be calculated as:

= 1300 + (1300 × 13%)

= 1300 + (1300 × 0.13)

= 1300 + 169

= Rs 1469

The value of y for x ranging from -4 to 4 are 34, 19, 6, -3, -2, 1, 10, 23 and 38, respectively.

To find the values of y for the given range of x, we can substitute each value of x into the equation y = 2x² - x - 2 and simplify. The completed table of values is:

(The table is attached below)

The given relation is y = 2x² - x - 2. To create a table of values for this relation, we can substitute values of x in the given range of -4 to 4 and calculate the corresponding values of y using the equation. In the first table, we substitute values of x ranging from -4 to 0 and calculate the corresponding values of y. In the second table, we substitute values of x ranging from 0 to 4 and calculate the corresponding values of y. These tables show how the values of y change as x changes within the given range, and provide a way to graph the relation as well.

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