Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought four notebooks and five thumb drives for $158. Lisa bought two notebooks and three thumb dives for $94. Find the cost, in dollars, of each notebook and each thumb drive.

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

learn more on sector here: https://brainly.com/question/22972014

#SPJ1

Answer:

a+75+65= 180(sum of angle of triangle)

a+140=180

a=180-140

a=40

Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

The systems of equations that are dependent are x=2; 2x=4 since both equations will give the same value of "x"

A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions.

Hence from the given options, the systems of equations that are dependent are x=2; 2x=4 since both equations will give the same value of "x"

Learn more on dependent equation here: https://brainly.com/question/12184795

Answer:

0.625

Step-by-step explanation:

Answer:

X=11 trust me on my mom

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Answer:

1 | 2

2|4

7|14

9|18

Reasoning:

4=4x+4

4=4(1)+4

4=4+4

4=8

4 can be multiplied 2 times to = 8 so the number shown on the table must be 2 times the amount or just say 1/2

I hope this helps!

( Please mark me brainliest )

Answer:

48hours

Step-by-step explanation:

36÷(3/4)

36*(4/3)

144/3

48

Answer:

c) 1.3 hours.

Step-by-step explanation:

The mean of a data set is given by the sum of it's values divided by the number of values.

In this question, we have that:

Nine values.

The sum of them is:

1 + 1.1 + 1.2 + 1.2 + 1.3 + 1.4 + 1.4 + 1.4 + 1.5 = 11.5

The mean is

11.5/9 = 1.28

So closest to 1.3 hours, and the answer is given by option c.

Answer:

B) 9

Step-by-step explanation:

6×3/2=9

Answer:

4.5

Step-by-step explanation:

Answer:

20 +(x+15.5)

Step-by-step explanation:

The two options with a probability of 0.2 are:

A probability is equal to 0.2 if the area under the curve is equal to 0.2

Remember that the area of a triangle of base B and height H is:

A = B*H/2

For example, for:

P(X ≥ 4)

The base of the triangle is 1, and the heightis 0.4, then the area is:

a = 1*0.4/2 = 0.2

That is the probability.

And for P(X ≤2) we have a base of 2 units and a height of 0.2 units, then:

a = 2*0.2/2 = 0.2

So the probability is 0.2

These are the two correct options.

Learn more about probability at:

https://brainly.com/question/25870256

#SPJ1

Answer: 178

Step-by-step explanation:

18x13

234 area of white granite

8x7

56 area of blue granite

234-56 to find the area of the white granite

The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.

To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:

a/5 = b/3

5/a = 3/b (multiplying both sides by 5/a)

5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)

5/a = 1

Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

Learn more about fraction on:

https://brainly.com/question/28372533

#SPJ1

Answer:

2121.8

Step-by-step explanation:

2000(1+0.03/1)^2

A= P(1+ r/n) ^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

I don't remember what I learned. So, this might be wrong because I googled the formula :)

Answer: 21

Step-by-step explanation:

115-10=105

105/5=21

Answer:

8\(\sqrt[3]{2}\)

Step-by-step explanation:

The cube root of -2 to the power of 10 is;

(-2)^10=2^10

2^10=(2^3)*(2^3)*(2^3)*2

You can factor out 2^3=8 of the cube root

So you get 8 times the cube root of 2

The algebric expression for the sum of N and 9 is \(\tt{ N + 8}\)

The algebraic expression for the sum of N and 9 will be N + 9.

An algebraic expression simply means the idea of expressing numbers using alpahabets or letters without specifying their actual value.

Based on the information given, we have to add the variables. Therefore, the algebraic expression for the sum of N and 9 will be N + 9.

Read related link on:

https://brainly.com/question/19262784

The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

To learn more about inequality;

brainly.com/question/28823603

#SPJ1

Answer:

1 next to 71 over 104 or
175 over 104 or
1.68

Step-by-step explanation:

Answer:

chips ahoy

Step-by-step explanation:

the better deal is the chips ahoy because you would almost get the same amount of cookies for less money.

You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

for more such questions on equation

https://brainly.com/question/22688504

#SPJ8

Answer:

Yes

Step-by-step explanation:

Collinear means points are lying on the same straight line. U, H, and L are all lying on the line l.

1) In this question, let's find the equation, using the point-slope formula:

2) Notice that since we want a perpendicular line we can write a perpendicular line to y=2, as x=-1/2 for -1/2 is the opposite and reciprocal to 2 (the necessary condition to get a perpendicular line).

So, the slope of that perpendicular line is -1/2

3) Let's plug into that Point-Slope formula, the slope m= -1/2 and the point:

4) Thus, the answer is:

The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).

The number 3.01 is a statistic.

The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.

To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.

Steps to find p-value:

1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours

2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.

3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.

4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).

5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.

6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

To know more about simulation, here

https://brainly.com/question/16359096

#SPJ4

--The given question is incomplete; the complete question is

"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.

1. Is the number 3.01 a parameter or a statistic?

2. Assign an appropriate symbol to the number 3.01.

3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--