Machine A has a fixed daily cost of $60 and a variable cost of $1.00 per item produced. Machine B has a fixed daily cost of $20 and a variable cost of $1.50 per item produced.

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

The cost of an orange is 21.5

Step-by-step explanation:

let orange be O and lemon be L

it becomes simultaneous Equations

2O+3L=64----1. x3

3O+4L=89----2. x2

6O+12L=192

6O+8L=178

subtracting

4L=14

L=7

put 7 for L in equ 1

2O+3(7)=64

2O+21=64

2O=64-21

2O=43

O=21.5

Answer:

60

Step-by-step explanation:

Shoes= 10

Human= 5

Cone= 4

10+5= 15 x 4= 60

Answer:

3 9 90 =3²+9²=90

4 2 20 =4²+2²=20

5 7 =5²+7²=74

The missing term in the series is 74.

The mathematical way to display the quantity involved is called Numbers.

The given figure shows a sequence being followed for the third number.

The third number below the triangle is the sum of squares of the two numbers above the triangle.

3² + 9²  = 90

4² +2²  = 20

5² +7² =25+49 = 74

Therefore, the missing term in the series is 74.

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Answer:

24 seconds

Step-by-step explanation:

3*24=72

24*2=48

48+24=72

Answer:

Step-by-step explanation:

37,4gam

The amount of debt per person in the small country is approximately $2,439. This means that, on average, each person in the country would be responsible for around $2,439 of the national debt.

To calculate the amount of debt per person in the small country, we divide the total national debt by the population and round the result to the nearest whole number. Let's perform the calculation.

The population of the small country is 2.457 million, which is equivalent to 2,457,000 people. The national debt is $5.99 billion.

To find the debt per person, we divide the national debt by the population:

$5.99 billion / 2,457,000 = $2,439.05 (rounded to two decimal places)

Since we want the answer in whole numbers, we round the result to the nearest whole number:

Debt per person = $2,439 (rounded to the nearest whole number)

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Answer:

Step-by-step explanation:

Question (3)

The given expression is,

\(\frac{4(x-3)}{3}=20\)

       Statements                Proof

1). \(\frac{4(x-3)}{3}=20\)                1). Given

2). \(4(x-3)=60\)           2). Multiplication property of equality

3). 4x - 12 = 60             3). Distributive property

4). 4x = 72                    4). Addition property of equality

5). x = 18                       5). Division property of equality

Question (4)

Equations are,

5x + 10 = 30 ------(1)

5(x + 10) = 30 ------(2)

From equation (1),

5x + 10 = 30

5x = 30 - 10

x = 4

From equation (2),

5(x + 10) = 30

(x + 10) = 6

x = 6 - 10

x = -4

Therefore, solutions of both the equations are different.

Answer:The answer is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

 9.357

12.082

+7.052

28.491 g

Answer:

Step-by-step explanation:

Given,

Both sides of the figure = 2x+7, 9x

Therefore,

Area will be = 9x × (2x+7)

\( = 18 {x}^{2} + 63x\)

Perimeter will be = 2(9x + 2x+7)

= 2(11x + 7)

= 22x + 14

Answer:

714

Step-by-step explanation:

33/100 is already equal so all we have to do is make x/100=7.14 7.14*100=714

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

answer: A survey

explanation: The manager of the restaurant is conducting a survey to determine which sandwich is more preferred by customers. He is taking a random sample of customers that have tried both sandwiches and asking them which sandwich they like best. The survey method is a statistical way of collecting data and it is a non-experimental design, because the manager is not controlling the variables that may affect the outcome. The outcome of this survey is based on the customers' preference of the sandwiches, and it is a way to gather data on their opinion

The simplified expression of (4⁴)⁻¹  is one over four raised to the fourth power

The expression can be simplified as follows:

(4⁴)⁻¹

Therefore, the expression can be simplified using laws of indices.

\((a^{c} )^{b} = a^{cb}\)

and

\((a^{-b} )^{c} = \frac{1}{a^{bc} }\)

Therefore, using the laws of indices, the expression can be simplified below:

(4⁴)⁻¹  = 4⁻⁴

Hence,

4⁻⁴ = 1 / 4⁴ = (1 / 4)⁴

Hence,

(4⁴)⁻¹  = 1 / 4⁴ = (1 / 4)⁴

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Step-by-step explanation:

sqrt(x + 2) - 15 = -3

sqrt(x + 2) = 12 (add 15 to both sides)

x + 2 = 12² = 144 (square both sides)

x = 142.

Answer:

x = 142

Step-by-step explanation:

√x+2 - 15 = -3 (Given)

√x+2 = 12 (Add 15 on both sides)

x + 2 = 144 (Square both sides to get rid of the radical)

x = 142 (Subtract 2 on both sides)

Answer:

Well, it's the perimeter, so...40.

You just calculate the perimeter of a rectangle with the lenght of 12 and width of 8, by the formula

\(P = 2L+2W\)

or you can factor it out.

Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.

A graph can be described  as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.

In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.

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Answer:

19 times 3 equal  57

Step-by-step explanation:

57 square feet

Answer:

no she should take the deal

Step-by-step explanation:

there are 5 bills in that bag and only 1 of them has a chance of being over the regular price where as 3 have a chance of being under the regurla price the odds a not in the girl scouts favor as she has a 60%chance of not getting a $1 and only a 20% chance of getting the $10.

Answer:

i got it right in Imagine Math

Step-by-step explanation:

Answer:

x+y=0

Step-by-step explanation:

x= 1.75

y= -1.75

x+y=0

The angular speed of 14 revolutions per second is equal to 87.96 radians per second.

Angular speed is a measure of how fast an object is rotating or revolving around an axis. It is typically measured in units of angular displacement per unit of time, such as degrees per second, revolutions per minute (RPM), or radians per second.

To convert angular speed from revolutions per second (RPS) to radians per second (RAD/s), we can use the following formula:

Angular speed (RAD/s) = 2π x Revolutions per second (RPS)

Given that the angular speed is 14 revolutions per second, we can substitute this value into the formula:

Angular speed (RAD/s) = 2π x 14 RPS

Angular speed (RAD/s) = 87.96 RAD/s

So, 14 revolutions per second is equivalent to 87.96 radians per second.

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Answer:

6 yards

Step-by-step explanation:

she need 1 yard of ribbon for each hairbow and 6 friends to make them for

Answer: Both Rick and Jenny could be correct because we do not know what "x" is.

Step-by-step explanation:

The purpose of the variable "x" is to substitute it for an unknown number. Since we do not know what "x" is we can not solve the equation. We can only add like terms.

I hope this helps :)

Answer:

The answer is"statement is true".

Step-by-step explanation:

Yeah, they may claim that it is possible, that 95% of the population would vote for Imm Thai as the best Barkeley Thai restaurant as well as the probability that such an interval will include the proportion of the trust interval of Imm Thai outside is 5% which would be \alpha 5%

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

Answer:

25

Step-by-step explanation:

Answer:

it is 25

Step-by-step explanation: