Sinita wants to make 35 picture frames.
She needs 4 nails for each frame.
Sinita has 3 boxes of nails.
There are 48 nails in each box.
Has Sinita got enough nails to make all 35 frames?
Show how you get your answer.

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

\( \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6\)

\( \hookrightarrow \: y + 7x - 7 = 16x - 6\)

\( \hookrightarrow \: y = 16x - 6 - 7x + 7\)

\( \hookrightarrow \: y = 6x + 1\)

hence, measure of the third side is 6x + 1

Answer:

\(opposite \approx 147\)

Step-by-step explanation:

To solve this problem one can use the trigonometric ratios, these ratios are the following,

\(sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\)

In this problem, one is given the adjacent side, and is asked to find the opposite side, thus use the function (\(tan\)). Substitute in the given value and solve,

\(tan(52)=\frac{opposite}{115}\)

Inverse operations,

\(115(tan(52))=opposite\)

Solve,

\(147 \approx opposite\)

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

x=2.3

Step-by-step explanation:

Isosceles triangle means both sides are the same length, triangle is also right meaning you can plug values into Pythagorean theorem (\(a^2+b^2=c^2\))

\(x^2+x^2=\sqrt{11}^2 \\2x^2=11\\x=\sqrt{\frac{11}{2} } \\x=2.345...\\x=2.3\)

Assuming all my math is right, this is your answer

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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Answer:

The perimeter of a triangle is the sum of all its three sides.

So,

0.73+0.73.0.73 = 2.19in

The circumference of the circle is 23.864 feet.

The circumference of a circle is the length of the arc of the circle, which if opened and straightened will become a line segment.

It can be calculated using this formula:

C = 2 π r = π d

where r is the radius, d is the diameter, and C is the circumference of the circle.

Now we use the formula for the problem:

C = π d

= 3.14 x 7.6

= 23.864 feet

Thus, the circumference of the circle is 23.864 feet

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Answer:

432 crayons

Step-by-step explanation:

convert 2 1/4 to 9/4

1 case=24 boxes=8 crayon in each box

24*8=192 for 1 case

9/4*192=432

The center received 432 crayons  

Answer:

The correct answer is a. 60

Answer:

60

Step-by-step explanation:

This is an equilateral triangle. Thus the angle is 60.

The correct answer is option A. For P= -1/2 0 1/2 1/2 0 -1/2 0 0 1 D= 0 4 0 0 0 4 -1 0 0. The matrix can be diagonalized using the eigenvectors.

To diagonalize the matrix, the eigenvectors must be found first. The eigenvectors can be found by solving the characteristic equation and finding the eigenvalues. The eigenvalues of the matrix are 2 and -1. The eigenvectors associated with each eigenvalue are determined by solving the eigenvalue equation.

The eigenvectors for the matrix are [1, -2], [1, 2], [1, 0], and [0, 1]. After the eigenvectors are found, the matrix can be diagonalized by constructing the transformation matrix P. The transformation matrix P is composed of the normalized eigenvectors. The transformation matrix P is: P=[-1/2, 0, 1/2, 1/2, 0, -1/2, 0, 0, 1], and the diagonal matrix D is composed of the eigenvalues.

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Answer:

  a) discrete

  b) D: {1, 2, 3}; R: {3, 4}

  c) is a function

Step-by-step explanation:

When the graph is made up of individual dots, it represents a discrete function.

__

The domain is the set of x-coordinates of the points on the graph:

  domain: (1, 2, 3}

The range is the set of y-coordinates of the points on the graph:

  range: {3, 4}

__

No vertical line intersects the graph in more than one place, so the graph is a function.

Answer:

you know i think it is 9 10/9 as a mixed number sooo i hope this help

Answer:

1 1/9

Step-by-step explanation:

I don't have an explanation, you're just gonna have trust me on this one

The required answer is "Mary will pay Joe an interest rate of 8% on every dollar she borrows."

Given that the expected inflation rate for Mary is 5% and her willingness to pay a real interest rate is 3%, and Joe's expected inflation rate is 5%, and he is willing to lend money if he receives a real interest rate of 3%.

Let the actual inflation rate be 6%, and the loan contract specifies a nominal interest rate of 8%.

Now, we can calculate the nominal interest rate as follows:

Nominal interest rate = Real interest rate + Inflation rate 8% = 3% + 6%

Here, the nominal interest rate exceeds the expected inflation rate for both Joe and Mary.

Therefore, Joe lends money, and Mary borrows money.

According to the given question, what must be calculated is the amount that Mary pays Joe for every dollar she borrows.

This payment can be calculated as follows:

1 + Real interest rate = 1 + 0.03 = 1.03 (this is the rate at which Mary can borrow money)

Inflation rate = 6%

Nominal interest rate = 8%

Using the Fisher equation:

Nominal interest rate = Real interest rate + Inflation rate

Hence, the required answer is "Mary will pay Joe an interest rate of 8% on every dollar she borrows."

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Answer: x=8

Step-by-step explanation: to get the answer you try to isolate the x you do this by multiplying both side by 10 which you get x= 40/5 which you can simplify so 8

Answer:

The answer to your problem is,

Step-by-step explanation:

So in this problem we will solve for ‘ x ‘

We will make equivalent fraction on the way.

The problem; \(\frac{4}{5}\) = \(\frac{?}{10}\)

How to find equivalent fractions:

First in order to find equivalent fractions do as I follow:

1. Multiply by 2 for the denominator and numerator

Make it into this fraction, \(\frac{4*2}{5*2}\).

2. Solve:

4 × 2 = 8\(\frac{8}{10}\)

5 × 2 = 10

3. Make into fraction, \(\frac{8}{10}\)

\(\frac{8}{10}\) is the answer

Thus the answer to your problem is, \(\frac{8}{10}\)

The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.

Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:

P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3

Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.

In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).

We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.

The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.

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Answer:

: If you're anxious, scared or frustrated, take time to feel things around you as you speak to calm down. This can be paper or the surface you're sitting on. It works for me at least. I think this will help. You can also lightly tap on your computer for a rhythm. I hope this helps all of you. I know it's too late but maybe next time it will help. Sorry for the long message.

Step-by-step explanation:

And D should be ur answer.

Answer:

i think is O(-.3.2.1 is it that

Answer: They sold each book at a price of 143.75 birr

Step-by-step explanation:

1500 divided by 12 is 125 and 15% of 125 is 18.75 so add it together and you got your answer. hope this helps <3

Answer:

C. 1725

Step-by-step explanation:

We can find the selling price by adding the cost price and the profit made

As the merchant has made 15% of profit on 1500 birr . So ,

15% of 1500 is 225 birr

\( \frac{x}{1500} \times 100 = 15 \: percent\)

Adding the cost price and profit made we get ,

Selling Price = 1500 birr + 225 birr

Sp = 1725 birr

False, the zip codes of a sample of 345 customers at pet shop are not an example of qualitative variables

The zip codes of a sample of 345 customers at a pet shop are an example of quantitative variables because they are numerical values that can be measured and compared. Qualitative variables, on the other hand, are categorical variables that describe a characteristic or attribute of a person, place, or thing, such as gender, color, or nationality. They cannot be measured numerically and are often described using words or labels.

Qualitative Variables: Qualitative variables are variables that are not numerical or quantifiable. Examples of qualitative variables include gender, race, eye color, ethnicity, nationality, marital status, and religious preference.

Quantitative Variables: Quantitative variables are variables that are numerical or quantifiable. Examples of quantitative variables include height, weight, age, income, income level, GPA, number of children, and number of hours worked.

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Answer:

the value of the x is 73.07

Step-by-step explanation:

The computation of the value of the x is shown below:

Given that

3x ÷ 4 + 2 = 56.8

3x + 8 ÷ 4 = 56.8

3x + 8 = 56.8 × 4

3x + 8 = 227.2

3x = 227.2 - 8

3x = 219.2

x = 73.07

Hence, the value of the x is 73.07

This is the answer but the given options are incorrect

Using Multinomial theorem, a) Without restriction, there are 23751 different ways to distribute. b) There are 14950 different ways to distribute. c) There are 243 different ways to distribute.

(a)  We can use the formula for Multinomial theorem, the number of ways to distribute n identical items among r distinct groups:

(n+r-1) choose (r-1) = (25+5-1) choose (5-1) = 29 choose 4 = 23751

 (b) If each child gets a piece of each type of candy, there are 3 pieces of candy already distributed. This leaves 22 pieces of candy to distribute without restriction. Using the same formula as before:

(n+r-1) choose (r-1) = (22+5-1) choose (5-1) = 26 choose 4 = 14950

 (c) If each child gets a piece of each type of candy and each child gets the same total number of pieces of candy, then each child must get 5 pieces of candy. This means that each child will get 2 additional pieces of candy after getting one of each type.

There are 3 ways to choose which 2 additional pieces of candy each child will get. Therefore, there are 3^5 = 243 different ways to distribute the candy.

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Answer:

Step-by-step explanation:

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

4(p + 3) +4(p - 6) =

4p + 12 + 4p - 24 =

8p -12

Answer:

Speed of Airplane is 260 miles per hour and the time taken is 8 hours

Speed of sports car is 65 miles per hour and the time taken in 3 hours

Step-by-step explanation:

Let the speed of airplane be "X" and the speed of Sports car be Y

Given-

Speed of the  airplane is 4 times the speed of the sports car

\(X = 4Y\)

Also,

Airplane could fly 2080 miles in 5 more hours than it look the sports e to drive 195 miles

Time taken by sports car to travel 195 miles is \(\frac{195}{Y}\) hours

Time taken by airplane to travel 2080 miles is 5 hours more than \(\frac{195}{Y}\) hours

\(\frac{2080}{X} = \frac{195}{Y} +5\)

Substituting value of X in above equation, we get -

\(\frac{2080}{4Y} = \frac{195}{Y} +5\\\frac{2080 - (195*4)}{4Y} = 5\\Y = 65\)miles per hour

Speed of Air plane \(4 * 65 = 260\) miles per hour

Time taken by Sports car to travel 195 miles is  \(3\) hours

Time taken by airplane to travel 2080 miles is 8 hours  

To locate the value of t, (a) value is 2.145, (b) value is 2.807, (c) value is 1.796.

To find the value of t for each of these conditions, we'll use a t-distribution table (Appendix B.5) and look for the corresponding values based on the sample size (degrees of freedom) and the level of confidence.

a. For a sample size of 15, we have 14 degrees of freedom (sample size minus 1). With a 95% level of confidence, we find the t-value in Appendix B.5 to be approximately 2.145.

b. For a sample size of 24, we have 23 degrees of freedom. With a 98% level of confidence, the t-value is approximately 2.807 according to Appendix B.5.

c. For a sample size of 12, we have 11 degrees of freedom. With a 90% level of confidence, the t-value from Appendix B.5 is approximately 1.796.

In summary, the t-values for each scenario are: a) 2.145, b) 2.807, and c) 1.796. These values are essential for constructing confidence intervals and hypothesis testing using t-distributions when working with small sample sizes.

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Answer:

The answer is -2

Step-by-step explanation:

The correct inequality to compares is,

⇒ One-eighth < One-half < Three-fifths < 1

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ Three-fifths, One-half, One-eighth, and 1.

Now,

Find the ascending order of the numbers as;

The number are,

⇒ 3/5, 1/2, 1/8, 1

Make all the denominators same by finding the LCM of 5, 2, 8.

Since, LCM (5, 2, 8} = 80

So, All the numbers becomes;

⇒ 3/5 = 48/80

⇒ 1/2 = 40/80

⇒ 1/8 = 10/80

⇒ 1/1 = 80/80

So, The ascending order of the numbers are;

⇒ 10/80 < 40/80 < 48/80 < 80/80

This is equivalent to,

⇒ 1/8 < 1/2 < 3/5 < 1

⇒ One-eighth < One-half < Three-fifths < 1

Thus, The correct inequality to compares is,

⇒ One-eighth < One-half < Three-fifths < 1

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The investor invested $2000 in the 6% fund and $900 in the 2% fund.

To solve this problem, we can use a system of equations. Let's call the amount invested in the 6% fund "x" and the amount invested in the 2% fund "y". We know that the total amount invested is $2900, so:

x + y = 2900

We also know that the total profit earned is $138. The profit earned from the 6% fund is 6% of x, or 0.06x. The profit earned from the 2% fund is 2% of y, or 0.02y. So:

0.06x + 0.02y = 138

Now we have two equations with two variables, which we can solve simultaneously. One way to do this is to solve for one variable in terms of the other in the first equation, then substitute that expression into the second equation and solve for the remaining variable. Let's solve for y in terms of x:

y = 2900 - x

Now we can substitute that expression into the second equation:

0.06x + 0.02(2900 - x) = 138

Simplifying and solving for x:

0.06x + 58 - 0.02x = 138
0.04x = 80
x = 2000

So the investor invested $2000 in the 6% fund. We can use the first equation to find y:

x + y = 2900
2000 + y = 2900
y = 900

Therefore, the investor invested $900 in the 2% fund. To check our work, we can verify that the total profit earned is $138:

0.06(2000) + 0.02(900) = 120 + 18 = 138

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Answer:

C) 15 games

Elenas team played 15 games and won 9.

The volume of the figure shown in the reference attachment, provided hereby with the question statement will be 6786 ft³.

As per the question statement and the reference attachment, we are provided with a figure and its dimensions.

We are required to calculate the volume of the concerned figure using the dimensional values provided.

To solve this question, we need to calculate the volumes of the bottom cuboidal part, and the top pyramidal part separately, and then add these volumes, to obtain our final desired answer.

Given, the dimensions of the bottom cuboidal part is (21ft by 18ft by 13ft).

We know that, volume of a cuboid = (length * breadth * height).

Therefore, volume of our concerned bottom cuboidal part

= (21 * 18 * 13) ft³

= 4914 ft³.

Also given, the dimensions of the top pyramidal part are as follows,

Base of the triangle  = 18 ft,

Altitude of the triangle  = 16 ft,

and length of the pyramid = 13 ft.

Therefore, Volume of the concerned pyramid

= [(1/2) * base * altitude * length]

= [(1/2) * 18 * 16 * 13] ft³

= (9 * 16 * 13) ft³

= 1872 ft³.

Therefore, Total volume of the concerned figure shown in the reference  attachment, provided hereby with the question statement will be

(4914 + 1872) ft³ = 6786 ft³

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If A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6. If the rank of A is less than 6, then the dimension of the row space will be less than 6.

The row space of a matrix is the span of its row vectors. Therefore, the dimension of the row space is equal to the number of linearly independent rows of the matrix.

For a 9x6 matrix A, the largest possible dimension of the row space is 6. This is because there can be at most 6 linearly independent rows in a 9x6 matrix. If there were more than 6 linearly independent rows, then the matrix would have rank greater than 6, which is impossible since the maximum rank of a 9x6 matrix is 6.

For a 6x9 matrix A, the largest possible dimension of the row space is also 6. This is because the number of linearly independent rows cannot exceed the number of columns in the matrix.

Therefore, if A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6.

However, if the rank of A is less than 6, then the dimension of the row space will be less than 6.

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