Does 1-3x=2x-5x+1 have a solution or no solution

The cost for 14 boxed lunches is $107.10.

From the information, the company orders 11 boxed lunches from a deli for $84.15. Therefore, we need to calculate the unit price and this will be:

= Total amount / Number of orders

= $84.15 / 11

= $7.65

Therefore, the value for 14 boxes will be:

= Unit price × Number of orders

= $7.65 × 14

= $107.1

Learn more about unit price on:

brainly.com/question/14286952

#SPJ1

Answer:

128

Step-by-step explanation:

you do 16 x 16 (256) and then divide it by 2

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729#

#SPJ11

$0.64 is the monetary value.

We are given that a 4500 square foot roll of plastic wrap costs $23.95 and we are to determine the monetary value of a 120 square foot piece of plastic wrap.

Let us find the cost per square foot by dividing the total cost of the roll by the number of square feet in the roll:

$23.95/4500 = $0.005322 per square foot

Now, we can multiply the cost per square foot by the number of square feet needed for the party game (120) to find the monetary value of the piece of plastic wrap.

Therefore, the monetary value of that 120-square-foot piece of plastic wrap is:

$0.005322 x 120 = $0.64 (rounded to the nearest cent)

Hence, the monetary value of that 120-square-foot piece of plastic wrap is $0.64.

Learn more about area:

https://brainly.com/question/28948613

#SPJ11

Answer:

In a triangle, the sum of any two sides must be greater than the third side. Using this fact, we can set up an inequality to find the range for the value of x:

26 + 29 > x

55 > x

So the third side must be less than 55 inches. Additionally, the third side must be greater than the positive difference between the other two sides, or:

29 - 26 < x

3 < x

Therefore, the range for the value of x is:

3 < x < 55

The correct answer is  your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

To determine the annual deposit your friend needs to make for her retirement fund, we'll calculate the present value of the desired withdrawals during retirement and then solve for the equal annual deposit.

Step 1: Calculate the present value of the withdrawals during retirement

Using the formula for the present value of an annuity, we'll calculate the present value of the $250,000 withdrawals per year for 20 years after retirement.

\(PV = CF * [1 - (1 + r)^(-n)] / r\)

Where:

PV = Present value

CF = Cash flow per period ($250,000)

r = Rate of return after retirement (5%)

n = Number of periods (20)

Plugging in the values, we get:

PV = $250,000 * \([1 - (1 + 0.05)^(-20)] / 0.05\)

PV ≈ $2,791,209.96

Step 2: Calculate the equal annual deposit before retirement

Using the formula for the future value of an ordinary annuity, we'll calculate the equal annual deposit your friend needs to make from her 26th birthday to her 65th birthday.

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV = Future value (PV calculated in Step 1)

P = Payment (annual deposit)

r = Rate of return before retirement (8%)

n = Number of periods (40)

Plugging in the values, we get:

$2,791,209.96 = \(P * [(1 + 0.08)^40 - 1] / 0.08\)

Now, we solve for P:P ≈ $13,334.45

Therefore, your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

Learn more about compound interest here:

https://brainly.com/question/24274034

#SPJ11

Answer: 1. a

2. -75

Step-by-step explanation:

Answer:

1.A 2.-75

Step-by-step explanation:

I solved it and got those awnsers

Answer:

324

Step-by-step explanation:

The missing term in this geometric sequence is the geometric mean of 54 and 1944.

\( \sqrt{54 \times 1944} = \sqrt{104976} = 324\)

Answer:

324

Step-by-step explanation:

The formula for the missing term in a geometric sequence is the square root of x times y.

The z score for a per - day expense of $400 is 0.65 while about 84.13% of the hotels is greater than $268

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean,x=raw\ score,\sigma=standard \ deviation\\\\Given\ that:\\\\\mu=348,\sigma=80\)

a) For an expense of $400:

\(z=\frac{x-\mu}{\sigma}\\\\z=\frac{400-348}{80}\\\\z=0.65\)

The z score for a per - day expense of $400 is 0.65

b) For an expense greater than $268:

\(z=\frac{x-\mu}{\sigma}\\\\z=\frac{268-348}{80}\\\\z=-1\)

P(x > 268) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413 = 84.13%

About 84.13% of the hotels is greater than $268

Find out more at: https://brainly.com/question/15016913

The probability that a scholarship is valued between $17,000 and $21,000 is 0.6645

To solve this problem, we need to first standardize the range of scholarship values we are interested in using the z-score formula

z = (x - mu) / sigma

where x is the value we are interested in, mu is the mean scholarship value, and sigma is the standard deviation.

So, for the lower end of the range, we have

z1 = (17,000 - 19,000) / 2100 = -0.95

And for the upper end of the range, we have

z2 = (21,000 - 19,000) / 2100 = 0.95

Now we need to find the probability of a scholarship being between these two z-scores. We can use a standard normal distribution table or calculator to find this probability.

Using the calculator, we can find the area under the standard normal curve between z1 and z2

P(-0.95 < z < 0.95) = 0.6645

Learn more about probability here

brainly.com/question/28979122

#SPJ4

5 is pushed to the stack.63- : 3 and 6 are pushed to the stack.  (10+5)/(6−3) is the equivalent infix expression.

Given postfix (reverse Polish notation) 105+63−/ is to be converted to its equivalent infix expression which is: (10+5)/(6−3).Explanation:Postfix notation (also known as Reverse Polish notation) is a way of representing expressions in which the operator follows the operands. So, first operand comes first followed by second operand and then operator.So, the given postfix (reverse Polish notation) can be explained as below:105+ : First, 1 and 0 are pushed to the stack. When the operator + is encountered, the top two operands are popped from the stack and added. Therefore, 5 is pushed to the stack.63- : 3 and 6 are pushed to the stack. When the operator - is encountered, the top two operands are popped from the stack and subtracted. Therefore, 3 is pushed to the stack./ : When the operator / is encountered, the top two operands are popped from the stack and divided. Therefore, the final result is 1.Now, let's convert it to the infix notation as below:(10+5)/(6−3)Hence, (10+5)/(6−3) is the equivalent infix expression.

Learn more about expression :

https://brainly.com/question/14083225

#SPJ11

The values of the six trigonometric functions are:

sin(θ) = -sqrt(1/5)

cos(θ) = -sqrt(4/5)

tan(θ) = -1/2

csc(θ) = -sqrt(5)

sec(θ) = -sqrt(5)/2

cot(θ) = -2

We can use the Pythagorean identity to find sin(2θ) since we know cos(2θ):

sin^2(2θ) + cos^2(2θ) = 1

sin^2(2θ) + (3/5)^2 = 1

sin^2(2θ) = 16/25

sin(2θ) = ±4/5

Since 90º < θ < 180°, we know that sin(θ) is negative. Therefore:

sin(2θ) = -4/5

Now we can use the double angle formulas to find the values of the six trig functions:

sin(θ) = sin(2θ/2) = ±sqrt[(1-cos(2θ))/2] = ±sqrt[(1-3/5)/2] = ±sqrt(1/5)

cos(θ) = cos(2θ/2) = ±sqrt[(1+cos(2θ))/2] = ±sqrt[(1+3/5)/2] = ±sqrt(4/5)

tan(θ) = sin(θ)/cos(θ) = (±sqrt(1/5))/(±sqrt(4/5)) = ±sqrt(1/4) = ±1/2

csc(θ) = 1/sin(θ) = ±sqrt(5)

sec(θ) = 1/cos(θ) = ±sqrt(5/4) = ±sqrt(5)/2

cot(θ) = 1/tan(θ) = ±2

Therefore, the six trig functions are:

sin(θ) = -sqrt(1/5)

cos(θ) = -sqrt(4/5)

tan(θ) = -1/2

csc(θ) = -sqrt(5)

sec(θ) = -sqrt(5)/2

cot(θ) = -2

To learn more about trigonometric functions visit : https://brainly.com/question/25618616

#SPJ11

Answer:

$10.16

Step-by-step explanation:

Total Cost = Cost of Lunch + Beverage + Tip's Amount + Sales Tax.

Cost of lunch + Beverage = 6.5 + 1.5 = $8

Tip:

8* 20/100 = $1.6

Sales tax:

8* 7/100 = $0.56

Cost of Lunch + Beverage + Tip's Amount + Sales Tax = Total Cost

$8 + $1.6 + $0.56 = $10.16

hope it helps :)

mark brainliest!!!

The correct option is D. m = 0.6 , c = 0.8

Given the linear equation 5y-3x=0.

To find the values of m and c for this equation when written in the form y=mx+c.

Solution:

To write this linear equation in the form of y=mx+c, we need to isolate y on one side and all the other terms on the other side.

5y-3x=0

Adding 3x on both sides

5y-3x+3x=0+3x

5y=3x

The next step is to isolate y, by dividing both sides by 5.

5y/5 = 3x/5

y= 3/5 x

We have in the required form y=mx+c where m= 3/5 and c = 0.

So, option D is the correct answer.  m = 0.6 , c = 0.8

To know more about option visit:

https://brainly.com/question/29131718

#SPJ11

The formula for the circumference of a circle can be derived from the concept of the circle's diameter and π (pi).

The circumference of a circle is defined as the distance around its outer edge. To derive the formula, we first need to understand that the diameter of a circle is the distance across it, passing through the center. It is equal to twice the radius (the distance from the center to any point on the circle).

Now, if we take the ratio of the circumference to the diameter for any circle, we find that this ratio is always constant, regardless of the size of the circle. This constant ratio is denoted by the Greek letter π (pi), which is approximately equal to 3.14159. Therefore, we can express the circumference of a circle as C = πd, where C represents the circumference and d represents the diameter. Alternatively, we can use the radius (r) and express the formula as C = 2πr. These formulas allow us to calculate the circumference of a circle based on its diameter or radius.

Learn more about circumference of a circle  here

brainly.com/question/17130827

#SPJ11

Answer:

x = 70°

Step-by-step explanation:

We are given that two of the sides are congruent so that will make the triangle isosceles.

We know also that the base angles of an isosceles triangle are congruent so we know a second angle.

< 1 = 55° ( given)

< 2 = 55° ( isosceles Δs have base <s ≅)

Using the fact that the sum of angles in a triangle is 180° we can find the third angle.

< 3 = 180 -55-55 = 70°

Answer: 4.5 hours

Step-by-step explanation:

Answer: 4.5 hours

Step-by-step explanation:

To find the area of a region in the xy-plane using integration, you need to sketch the region, label the bounding curves with their equations, find the coordinates of their points of intersection, and then set up and evaluate the integral to find the area.

To find the area of a region in the xy-plane using integration, follow these steps:
1. Sketch the region: Draw the curves and label them with their equations. For example, if the region is bounded by the curves y = x^2 and y = 2x, plot these curves on the xy-plane.
2. Determine the points of intersection: Set the equations of the curves equal to each other and solve for x. In this case, x^2 = 2x, which gives x = 0 and x = 2 as the x-values of intersection.
3. Setup and evaluate the integral: Set up the integral with the appropriate integrand. In this example, the integral would be ∫(2x - x^2) dx, with limits of integration from x = 0 to x = 2. Evaluate the integral to find the area of the region.

To know more about intersection visit:

https://brainly.com/question/14217061

#SPJ11

Answer:

3 pants and 5 shirts

Step-by-step explanation:

x+y=8

28x+12y=144

-12x-12y=-96

16x=48

x=3

The answer is (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60).

Remember that :

(f . g)(x) = f(x) × g(x)

Hence :

Answer:

12.8

Step-by-step explanation:

60% more then 8 is 12.8

The value of x is dependent on the length of SU.

To find the value of x in the given scenario, where RT and US are diameters of Circle V, we can apply the properties of diameters and angles formed by intersecting chords.

Since RT and US are diameters, we know that they intersect at the center of the circle. Let's denote the center as O.

By the properties of intersecting chords, we have the following relationship:

TR × TU = SR × SU

Since TR = US = 26 (given), and SU = SR (as both are radii of the same circle), we can rewrite the equation as:

26 × TU = 26 × SU

Dividing both sides of the equation by 26, we get:

TU = SU

Now, looking at the given expression, (15x-26), we can equate it to TU:

15x - 26 = TU

Substituting TU with SU (both are equal), we get:

15x - 26 = SU

Therefore, the value of x is dependent on the length of SU, which is not provided in the given information. Without that value, we cannot determine the specific value of x.

For such more questions on length:

https://brainly.com/question/28322552

#SPJ11

The required sum Sn for each of the given geometric series is illustrated in the solution.

The sum of a geometric series is given by the formula Sn = a(1 - r^n) / (1 - r), where a is the first term of the series, r is the common ratio, and n is the number of terms in the series.

As per the given question, the required solution would be as:

1. a = -1, r = -2, n = 8:

Sn = (-1)(1 + 2⁸) / (1 + 2) = -1023 / 3

2. a = 1/2, r = -1/3, n = 6:

Sn = (1/2)(1 + (-1/3)⁶) / (1 + (-1/3)) = (1/2)(1 + 1/729) / (4/3) = 728/2187

3. a = 4, r = 3, n = 5:

Sn = (4)(1 + 3⁵) / (1 + 3) = 1792 / 4

4. a = -9, r = -3, n = 4:

Sn = (-9)(1 + (-3)⁴) / (1 + (-3)) = -729 / 2

5. a = 6, r = 3, n = 4:

Sn = (6)(1 + 3⁴) / (1 + 3) = 3456 / 4

6. a = 4, r = 1/4, n = 4:

Sn = (4)(1 + (1/4)⁴) / (1 + (1/4)) = 256 / 5

7. a = 3, r = -2, n = 7:

Sn = (3)(1 + (-2)⁷) / (1 + (-2)) = -769 / 3

8. a = -2, r = 3, n = 5:

Sn = (-2)(1 + 3⁵) / (1 + 3) = -1792 / 4

Thus, the required sum Sn for each of the given geometric series is illustrated in the above solution.

Learn more about geometric series here:

brainly.com/question/21087466

#SPJ1

The dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 34.34 ft.

To find the dimensions of the tank with minimum weight, we need to consider the relationship between the volume of the tank and the weight of the sheet steel.

Let's assume the side length of the square base of the tank is x, and the height of the tank is h.

The volume of the tank is given as 8788 ft³, so we have the equation x²h = 8788.

To determine the weight, we need to consider the surface area of the tank. Since the tank has an open top and a square base, the surface area consists of the base and four sides.

The base area is x², and the area of each side is xh. Therefore, the total surface area is 5x² + 4xh.

The weight of the sheet steel is directly proportional to the surface area. Thus, to minimize the weight, we need to minimize the surface area.

Using the equation for volume, we can express h in terms of x: h = 8788/x².

Substituting this expression for h into the surface area equation, we have A(x) = 5x² + 4x(8788/x²).

Simplifying the equation, we get A(x) = 5x² + 35152/x.

To find the dimensions of the tank with minimum weight, we need to minimize the surface area. This can be achieved by finding the value of x that minimizes the function A(x).

We can differentiate A(x) with respect to x and set it equal to zero to find the critical points:

A'(x) = 10x - 35152/x² = 0.

Solving this equation, we get x³ = 3515.2, which yields x ≈ 14.55.

Since the dimensions of the tank need to be positive, we discard the negative solution.

Therefore, the dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 8788/(14.55)² ≈ 34.34 ft.

To learn more about dimensions click on,

https://brainly.com/question/31817892

#SPJ4

Step 1: Problem

Step 2: Concept

Substitute the values of x and y in the expression.

Step 3: Method

Step 4: Final answer

13

4y^0 + x^1 with x = 9 and y = 5.

First, every number (except 0) to the power of 0 = 1

We substitute x = 9

4 x 1 + 9^1
= 4 + 9 = 13.

Answer: B. X = \(4\sqrt{6}\)

Step-by-step explanation:

sec(45) = hyp/12

12sec(45) = hyp

hyp = 16.9

cot(60) = x/16.9

16.9cot(60) = x

x = 9.7

B. X = \(4\sqrt{6}\)

Answer:I believe it is C

Step-by-step explanation:

Its -2 then gets decreased by 5

Answer:

\(optoin \: c. \: is \: correct\)

Answer:5.97

Step-by-step explanation.  

you have to look at the question.

you have to look around the question

The very last step is you have to answer it  

The system of inequalities that correctly represents this scenario is given by:

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

The manager of the stand expects sales of a minimum of 100 items, hence:

\(x + y \geq 100\).

The concession stand at a local high school sells nachos for $4 each and popcorn for $2 each. The manager wants a total of at least $225, hence:

\(4x + 2y \geq 225\)

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

Answer:

I believe it's SSS

Step-by-step explanation:

This is because all sides are congruent to each other.