I spent $26 on 4 yards of fabric, but I want to have 7
yards of fabric altogether. How much will that cost?

Answer:

4x ⁴ z/3 y³

Step-by-step explanation:

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Answer:

4x+4x+42+2x-12=180 Degrees (Angle Sum of a Triangle)

10x+30=180

10x=150

x=15

Step-by-step explanation:

Hope this helps! You will always be forgiven if you change. :)

An equation can either have a solution, no solution or infinite many solution.

The equation has infinite many solutions.

The equation is given as:

\(\mathbf{3x + 21 = 3(x + 7)}\)

Open bracket

\(\mathbf{3x + 21 = 3x + 21}\)

Collect like terms

\(\mathbf{3x -3x = 21 - 21}\)

Evaluate like terms

\(\mathbf{0= 0}\)

There are no traces of variable x in the above equation, and the equation is true.

This means that: the equation has infinite many solutions.

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Answer:

Anything more than $13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Cost price of 8 cakes = $62.40

So,

Cost price of 1 cake = $ \(\frac{62.40}{8}\)

Therefore,

Cost price of 3 cakes

= $(\(\frac{62.40}{8}\) × 3)

= $(7.80 × 3)

= $23.40

Hence,

The required cost of 3 cakes is $23.40 (Ans)

Solution:

Note that:

This question requires the knowledge of Unitary method.

Step-1: Divide 8 both sides of the equation to obtain the cost for 1 cake.

Step-2: Multiply 3 both sides to find the cost of 3 cakes.

Answer:

27!!!!

Step-by-step explanation:

Answer:

Your answer is: 27

Step-by-step explanation:

Hope this helped : )

Answer:

first blank: 2

second blank: 2

Answer:

3.5 5x + 8 − 3x = −10

= 0.5x = 8 = -10

= 0.5x = -10 - 8

= 0.5x = -18

= x = -36

Answer:

(a) basketball

(b) hat

(c) stuffed animal

explanation:

I'm not sure if got right but from what i see;

Chances from 1-23 you get a stuffed boi

Chances from 24-54 you get a hat (why)

Chances from 55-100 you get a basketball

Winner 5 got 90, which is between 55-100

Winner 6 got 35, which is between 24-54

winner 8 got a 7, which is between 1-23

Hope I didn't read it wrong

To test the difference between two independent population means with two samples, you need to calculate the degrees of freedom (df). Here's a step-by-step explanation:

1. Identify the sample sizes: The first sample has a size of 28 (n1 = 28), and the second sample has a size of 27 (n2 = 27).

2. Calculate the degrees of freedom for each sample: For each sample, subtract 1 from the sample size. For sample 1, df1 = n1 - 1 = 28 - 1 = 27. For sample 2, df2 = n2 - 1 = 27 - 1 = 26.

3. Combine the degrees of freedom: Add the degrees of freedom from each sample together to get the total degrees of freedom: df = df1 + df2 = 27 + 26 = 53.

In this case, you will use 53 degrees of freedom to find the critical value for testing the difference between the two independent population means.

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Based on the given information, the installation of solar panels on Julian's house appears to be financially viable, considering a discount rate of 3%. Yvonne's proposal to redevelop her property into a 4-storey hotel seems financially feasible, and Kelvin's decision to extend the repayment period of his loan will result in higher monthly payments and increased total interest paid.

For Julian's solar panel installation, the financial viability can be assessed by comparing the present value of cash inflows (savings on electricity fee) with the present value of cash outflows (initial cost, maintenance cost, replacement cost, dismantling cost, and salvage value). By discounting future cash flows at a rate of 3%, the net present value (NPV) can be calculated. If the NPV is positive, it indicates that the project is financially viable.

Yvonne's proposal for property redevelopment involves considering the costs of demolishing the existing building, constructing the hotel, design fees, land premiums, finance charges, and loss of income during redevelopment. The rental income from the hotel, considering the expected occupancy rate and market yield, needs to be compared with the costs to determine the financial feasibility. Calculating the net present value (NPV) of the project by discounting future cash flows can provide insights into its feasibility.

Possible catalysts for Yvonne to consider the change of land use could include market demand for hotels in the area, changes in tourism trends, or the potential for higher rental income from operating a hotel compared to a staycation business.

If Kelvin chooses to extend the repayment period of his loan from 15 years to 20 years, the monthly payments will be higher due to the longer repayment period. The total interest paid will also increase because the loan is extended over a longer duration, resulting in more interest accrual over time. The specific calculations can be performed using the loan amount, interest rate, and respective repayment periods.

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The dual for the given linear programming problems are as follows:

(i) Minimize Z' = 10a + 12b Subject to: a + 7b ≥ 3 2a + 3b ≥ 4 a + 9b ≥ 5 a, b ≥ 0.

(ii) Maximize Z' = 5a + 6b + 2c Subject to: 3a + 2b + c ≤ 1 4a + 6b + c ≤ 2 a + b ≤ 0 a, b, c ≥ 0.

In the first problem, we have a maximization problem with three variables (x, y, z) and two constraints. The dual formulation involves minimizing a new objective function with two variables (a, b) and four constraints. The coefficients of the variables and the constraints are transformed according to the rules of duality.

The primal problem is:

Maximize Z = 3x + 4y + 5z

Subject to:

x + 2y + z ≤ 10

7x + 3y + 9z ≤ 12

x, y, z ≥ 0

To find the dual, we introduce the dual variables a and b for the constraints:

Minimize Z' = 10a + 12b

Subject to:

a + 7b ≥ 3

2a + 3b ≥ 4

a + 9b ≥ 5

a, b ≥ 0

In the second problem, we have a minimization problem with two variables (y1, y2) and three constraints. The dual formulation requires maximizing a new objective function with three variables (a, b, c) and four constraints. Again, the coefficients and constraints are transformed accordingly.

The primal problem is:

Minimize Z = y1 + 2y2

Subject to:

3y1 + 4y2 > 5

2y1 + 6y2 ≥ 6

y1 + y2 ≥ 2

To find the dual, we introduce the dual variables a, b, and c for the constraints:

Maximize Z' = 5a + 6b + 2c

Subject to:

3a + 2b + c ≤ 1

4a + 6b + c ≤ 2

a + b ≤ 0

a, b, c ≥ 0

The duality principle in linear programming allows us to find a lower bound (for maximization) or an upper bound (for minimization) on the optimal objective value by solving the dual problem. It provides useful insights into the relationships between the primal and dual variables, as well as the economic interpretation of the problem.

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Answer:

Both

Step-by-step explanation:

13 = -6(-2)+1

13=13 CORRECT

7 = -6(-1)+1

7=7 CORRECT

Answer:

C

Step-by-step explanation:

y = -6x + 1 so substitute the two answers given x = -1 and x = -2

when x = -1 then y = -6(-1) + 1 so y = 7 so (-1,7)

when x = -2 then y = -6(-2) + 1 so y = 13 (-2,13)

The correct statement are:

Based on the given information, we can make the following conclusions:

A. The interquartile range for high school students is smaller than college students.

The statement is False

B. The mean for high school students is smaller than college students.

The statement is False because the mean of College is 25.28 and mean for High school is 30.4.

C. The range for high school students is larger than college students.

The statement is True .

D. The college median is equal to the high school median.

The statement is True because the median for both is 24..

E. The mean absolute deviation is larger for college students than high school students.

The statement is False.

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Answer:

21 yards

Step-by-step explanation:

3 yards for 1 mum

3*7 yards for 7 mums

21 yards for 7 mums

I don't know if this is what you mean but here have this

Answer:

b=15

Step-by-step explanation:

7(b+1)=2*56 (we cross multiply)

7b+7=112

7b=105

b=15

The income for the special offer, we subtract the total incremental price from the incremental revenue is $66,500. Radar should carefully consider the potential long-term benefits before accepting the offer.

(a) To compute the income for the special offer, we need to calculate the incremental revenue and incremental costs:

- Incremental Revenue: The revenue from the special offer is obtained by multiplying the number of bikes in the offer (380) by the price per bike ($450), resulting in an incremental revenue of $171,000.

- Incremental Costs: The incremental costs include both variable and fixed costs. The variable cost per bike is $185, resulting in incremental variable costs of $70,300.

The fixed cost per bike is $100, and the incremental fixed cost per bike for this offer is $90, resulting in incremental fixed costs of $34,200. The total incremental costs are the sum of the incremental variable costs and incremental fixed costs, which is $104,500.

To calculate the income for the special offer, we subtract the total incremental costs from the incremental revenue:

Income = Incremental Revenue - Total Incremental Costs

Income = $171,000 - $104,500

Income = $66,500

(b) To decide whether Radar should accept the offer, we compare the income from the special offer to the opportunity cost. The opportunity cost is the income Radar would earn by selling the bikes at the regular price. Since Radar sells 4,200 bikes per year at $470 each, the regular revenue would be $1,974,000 ($470 * 4,200).

Comparing the income from the special offer ($66,500) to the regular revenue ($1,974,000), it is evident that the income from the special offer is significantly lower.

Therefore, Radar should carefully consider the potential long-term benefits and any strategic factors before accepting the offer.

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Answer:

the answer is that 7x6 42 so you must divide by x to get the population

Step-by-step explanation:

Answer:The average rate of the function from x = 2 to x = 4 is 6.

Step-by-step explanation:

Answer:

It's B!

Step-by-step explanation:

The function must has at least one solution to the equation in the interval (1, 2).

To use the Intermediate Value Theorem to show that there is a solution to the equation \(4x^3 - 6x^2 + 3x - 2\) = 0 in the interval (1, 2), we need to show that the function changes sign on the interval.

Let's evaluate the function at the endpoints of the interval:

\(f(1) = 4(1)^3 - 6(1)^2 + 3(1) - 2 = -1\\f(2) = 4(2)^3 - 6(2)^2 + 3(2) - 2 = 12\\\)

Since f(1) = -1 is negative and f(2) = 12 is positive, we have a sign change of the function on the interval (1, 2).

According to the Intermediate Value Theorem, if a continuous function changes sign on an interval, there must exist at least one solution to the equation within that interval.

In this case, since the function changes sign from negative to positive on the interval (1, 2), there must be at least one solution to the equation \(4x^3 - 6x^2 + 3x - 2 = 0\) in the interval (1, 2).

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The measure of the missing angle α is 62 degrees.

The sum of angles on the straight line adds up to 180 degrees.

From the diagram;

Since the sum of angles on a straight line adds up to 180 degrees.

Angle 1 + Angle 2 + Angle 3 = 180

Plug in the values

118 + α = 180

Subtract 118 from both sides

118 - 118 + α = 180 - 118

α = 180 - 118

α = 62°

Therefore, the value of angle α is 62 degrees.

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Ellen's baby is taller than 95% of other babies, and shorter than only 5% of other babies. Her baby is considered to be in the 95th percentile for height.

When we say that Ellen's baby is in the 95th percentile for height, it means that her baby's height is greater than or equal to 95% of other babies. In other words, Ellen's baby is taller than 95% of the population of babies. This indicates that her baby is above average in terms of height compared to other babies.

On the other hand, it also means that only 5% of other babies have a height greater than or equal to Ellen's baby. This implies that Ellen's baby is shorter than only a small proportion (5%) of the population of babies.

Therefore, the best description of what it means for Ellen's baby to be in the 95th percentile for height is that her baby is taller than 95% of other babies, and shorter than only 5% of other babies. This suggests that her baby is relatively tall compared to the majority of the population.

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The p-value based on a standard normal distribution for z = -1.86 and Ha: p < 0.5 is 0.031.

To find the p-value based on a standard normal distribution for a given test statistic and alternative hypothesis.

We need to calculate the probability of obtaining a test statistic as extreme as the observed value or more extreme under the null hypothesis.

In this case, the test statistic is z = -1.86 and the alternative hypothesis is Ha: p < 0.5.

Since the alternative hypothesis is one-sided (p < 0.5), we are interested in the probability of obtaining a test statistic smaller than -1.86.

To find the p-value, we can use a standard normal distribution table or a calculator to determine the cumulative probability to the left of -1.86.

Looking up the z-score -1.86 in a standard normal distribution table or using a calculator, we find that the cumulative probability to the left of -1.86 is approximately 0.031.

Therefore, P-value: 0.031

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Answer:

\(f(x)=x^{2} +13x+30\)

Step-by-step explanation:

1. Whenever you write a quadratic function with zeros, you want to put it into a formula like this:

\(f(x)= (x-p) (x-q)\)

p and q are the zeros

2. Your zeros are (-3) and (-10). When plugging in the zeros, you always flip the sign on the number. Because you would plug it in as: \(f(x) = (x-(-3)) (x-(-10))\)

Two negative signs equal positive signs, so the equation will look like this:

\(f(x)=(x+3)(x+10)\)

3. Solve the equation:

a. Use the foil method:  \((a+b)(c+d)=ac+ad+bc+bd\)

\(f(x)=x^{2} +10x+3x+30\)

b. Collect like terms

\(f(x)=x^{2} +(10x+3x)+30\)

c. Simplify

\(f(x)=x^{2} +13x+30\)

Hope that helps!

Answer:

1. right angles

2. c ⋅ sinB

3. c ⋅ sinB = b ⋅ sinC

Step-by-step explanation:

I got this question too and I guessed it and it was correct

hope it helps...Mark as brainliest

Answer:

$8250

Step-by-step explanation:

In other words, a 15% discount for a item with original price of $55000 is equal to $8250 (Amount Saved). Note that to find the amount saved, just multiply it by the percentage and divide by 100.

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Answer:

Step-by-step explanation:

15% is equivalent to 15/100 or 0.15

So just multiply $55,000 by 0.15.

After multiplying, you should get 8250.

So 8250 is your answer

Answer:

each cookie was $0.94

Step-by-step explanation:

5.00 - 1.89 = 3.11

3.11 - 1.23 = 1.88

1.88 divided by 2 = 0.94

Answer:

\(\sf y = -2\frac{1}{9} x\)

linear function solve:

coordinates given: (0,0), (-9,19)

slope:

\(\sf \frac{y2-y1}{x2-x1}\)

\(\sf \frac{19-0}{-9-0}\)

\(\sf \frac{19}{-9}\)

equation:

\(\sf y - y_2 = m(x-x_2 )\)

\(\sf y - 0 = \frac{19}{-9} (x-0 )\)

\(\sf y = \frac{19}{-9} x\)

\(\sf y = -2\frac{1}{9} x\)

Answer:

\(f(x)=-\dfrac{19}{9}x\)

Step-by-step explanation:

Let \((x_1,y_1)\) = (0, 0)

Let \((x_2,y_2)\) = (-9, 19)

First find the slope of the function using \(\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\implies \textsf{slope }m=\dfrac{19-0}{-9-0}=-\dfrac{19}{9}\)

Now use the point-slope form of a linear equation: \(y-y_1=m(x-x_1)\)

\(\implies y-19=-\dfrac{19}{9}(x+9)\)

\(\implies y=-\dfrac{19}{9}x\)

\(\implies f(x)=-\dfrac{19}{9}x\)