|-4y+2z|-7z z=-9 and y=2

Answer:

3.75 feet

Step-by-step explanation:

The length of the frame is 3 times the width.

Let the width be x.

The length will be 3x.

Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.

The perimeter of a rectangle is:

P = 2(L + W)

=> 10 = 2(3x + x)

=> 10/2 = 4x

5 = 4x

=> x = 5/4 = 1.25 feet

The width is 1.25 feet. The length is therefore:

1.25 * 3 = 3.75 feet

Answer:

19/99

yes this is the answer

Answer:

Step-by-step explanation:

The average salary in this city is $45,600.

Using the formula

z score = x - u /(sd/√n)

Where x is 46,356, u is 45,600 sd is 15,930 and n is 53.

z = 46,356 - 45600 / (15930/√53)

z = 756/(15930/7.2801)

z = 756/(2188.1568)

z = 0.3455

To draw a conclusion, we have to determine the p value, at 0.05 level of significance for a two tailed test, the p value is 0.7297. The p value is higher than the significance level, thus we will fail to reject the null and can conclude that there is not enough statistical evidence to prove that the average is any different for single people.

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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a is the number of pounds of apples

b is the number of pounds of bananas

Apples cost: 2a

Bananas cost: b

As Tony has $18 to buy apples and bananas the inequality that represents the situation is:

To graph it:

1. Identify the equation of the boundary line:

2. Find two ordered pairs:

Find b when a is 1:

Ordered pair: (1,16)

Find b when a is 3:

Ordered pair: (3,12)

2. Use the ordered pairs to draw the boundary line, as the inequality sing is less than or equal to shadow area is under the line:

The possible combinations of pound of apples and bananas are those combinations that fits in the shadow area.

The value of x for the given triangle is 38.66° to the nearest hundredth.

Given a right angled triangle.

We have to find the angle marked as x for the given triangle.

Also given that two of the side lengths as 10 cm and 8 cm.

We can use trigonometric ratio to find the length of the unknown angle or x.

We know that,

tan (x) = Opposite side / Adjacent side

Using this function,

tan (x) = 8/10

tan (x) = 0.8

x = tan⁻¹ (0.8)

x = 38.66°

Hence the angle is 38.66°.

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Answer:

It would be 8 cups

Answer:

it would be 8 cups that should be it

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

25

Step-by-step explanation:

300/12 = 25

The company shipped 2184 fl. oz. of hot sauce contained in 14 cases.

An equation is an expression that shows the relationship between two or more numbers and variables. Types of equation are linear, quadratic, cubic and so on.

Each bottle of a new hot sauce contains 6.5 fluid ounces. There are 24 bottles in each case, hence:

Amount of hot sauce in each case = 6.5 fluid ounces * 24 bottles = 156 fl.oz.

On Tuesday, the company shipped 14 cases of the new hot sauce. Therefore:

Amount of hot sauce shipped = 156 fluid ounces * 14 cases = 2184 fl.oz.

The company shipped 2184 fl. oz. of hot sauce

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Answer:

IF the values are same....................

Answer:

IF the values are same....................

Step-by-step explanation:

IF the values are same....................

The inequality that represents the graph is

y < -x - 2

y > -x + 2

Option C is the correct answer.

We have,

y < -x - 2

y > -x + 2

Now,

The two inequalities y < -x - 2 and y > -x + 2 represent two lines on a coordinate plane.

The first inequality y < -x - 2 can be rewritten as y = -x - 2 but with a shaded area below the line since the inequality includes all the points that are below the line.

This line has a y-intercept of -2 and a slope of -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1.

The second inequality y > -x + 2 can be rewritten as y = -x + 2 but with a shaded area above the line since the inequality includes all the points that are above the line.

This line has a y-intercept of 2 and a slope of -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1.

To graph both of these lines and their respective shaded regions, we can start by graphing the lines y = -x - 2 and y = -x + 2.

These two lines intersect at the point (-2, 0).

Next, we shade the region below the line y = -x - 2 and above the line y = -x + 2, since the solution to the system of inequalities is the intersection of these two regions. This shaded region is a triangular region that includes all the points in the plane that satisfy both inequalities.

So,

The resulting graph looks like two lines intersecting at (-2,0) with a shaded triangular region below the line y = -x - 2 and above the line y = -x + 2.

Thus,

The inequality that represents the graph is

y < -x - 2

y > -x + 2

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Answer:

\(\begin{aligned}y& < -x - 2\\y & > -x + 2\end{aligned}\qquad\textsf{Dr. Alpha was answering email in the library.}\)

Step-by-step explanation:

The given graph shows a system of linear inequalities with parallel red and blue dashed lines.

The slope of both dashed lines is negative, which means that the coefficient of the x-value in both inequalities is negative.

The y-intercept of the dashed red line is y = -2.

The y-intercept of the dashed blue line is y = 2.

The shading of the dashed red line is below the line.

The shading of the dashed blue line is above the line.

When graphing inequalities:

Therefore, the inequalities that represent the two lines are:

So the system in the graph is:

\(\boxed{\begin{aligned}y& < -x - 2\\y & > -x + 2\end{aligned}\qquad\textsf{Dr. Alpha was answering email in the library.}}\)

9514 1404 393

Answer:

Step-by-step explanation:

A recursive formula consists of two parts:

When we look at the differences between terms in the sequence 3, -4, -11, ..., we find that they are constant at -7. That is each term can be found from the previous one by subtracting 7. This is our recursive rule. The first term is obviously 3, so the recursive formula is ...

  a[1] = 3

  a[n] = a[n-1] -7

Step-by-step explanation:

area of parallelogram = length × height

780 = 26 × height

height = 780/26 = 30cm

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

50

Step-by-step explanation:

60-10

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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Answer: D) 54 inches = 1 1/2 yards

explanation: 1 1/2 yards = 54 inches.

Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

angles A+ 100 + B are supplementry and add up to 180 degress.  Angle A and 20 degree angle are congruent, so angle A is 20 degrees.  Angle B and 60 degrees are congruent so B is 60 degrees.  Angle C and 100 degrees are congruent so C is 100 degrees.

Step-by-step explanation:

Answer:

C. 5 inches

Step-by-step explanation:

I’m area you have to multiply L • W

But since we don’t know the width we can divide the length by the area.

40/8 = 5

So the answer would be 5.

Another way to solve this problem is with using guess and check.

I hope it helps! Have a great day!

Anygays~

Answer:

C. 5 inches

Step-by-step explanation:

Use the numbers we have in the word problem, so you´d divide 40 by 8 since you´re trying to find the width. 40 is the area and 8 is the length so divide it tofind the width.

40/8 = 5

ANSWER: 5 inches

I hope it helps! Have a great day!

The matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.

The matrix representing the profit from the sales of book A for each store is as follows:

Store Book A

X $4

Y $4

Z $4

Therefore, the matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).

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First, it is important to know the prices of each of the instruments in order to determine the number of djembe drums you had sold. Since it is not given here. I will give a general equation where you just substitute the prices. It would be as follows:

326 = 12x + 6(y) + (xx)z

where x is the price for a set of maracas

           y is the price for a set of claves

          xx is number of djembe drums sold

          z is the prices for each djembe drum

Hope this helps. Have a nice da

Answer:

(14*12)+(5*6)+16x

Step-by-step explanation:

First, you get the price of every instrument.

(Shown in the picture)

Maracas: $14

Claves: $5

Djembe Drums: $16

Then multiply the price to how many instruments you sold.

14*12 (Maracas)

5*6 (Claves)

You don't know what how many djembe drums you sold, so put an x right next to 16.

To get the total of $326 in that equation, you do: (14*12)+(5*6)+16x.

I hope it helps.

Answer:

I think the first answer is angle some property..

Given

Procedure

In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector.

the answer is x=16

The inequality that represents p, the number of people the theater can seat is p ≤ 25

From the question, we have the following parameters that can be used in our computation:

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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