1) The math department at Kennedy Middle School is planning to buy some pattern blocks
that cost $6 per set.
Write an equation that shows how the total cost, y, depends on the number of sets
bought, x.
-)) Do not include dollar signs in the equation.

Answer:

\(r=4.38\)

Step-by-step explanation:

Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)

\(\frac{d}{t} = \frac{rt}{t}\)

\(t\) cancels out on the right side.

Step 2: Substitute in the numerals

\(r=\frac{d}{t}\)

\(r=\frac{5.7}{1.3}\)

Step 3: Divide

\(r=4.38\) \(mph\)

There's your answer!

Hope this helps you!

The two coordinate points given are (3,2) and (-1,-4). The slope of the formed line is 3/2.

Answer:

-12

Step-by-step explanation:

(-3)4

-3*4

-12

Elaborate ur question about - 34

Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4

Answer:

d² - 24d + c = (d - 12)² - 144 + c

ANSWER:

STEP-BY-STEP EXPLANATION:

We must calculate the volume of the box, since it is a cube, the formula to calculate the volume would be:

Replacing:

Answer:

Booth workers required = 4

Step-by-step explanation:

As given ,

Arrival rate = λ = 60 customers per hour

Time taken = 3.75 minutes

∴ we get

Average service rate = μ = \(\frac{60}{3.75}\) = 16 customers per hour

Now,

Minimum numbers of booth workers required = \(\frac{60}{16}\) = 3.75

As workers can not be in fraction

∴ Minimum number of booth workers required = 4

the length of the rope is approximately 11.9 feet.

What is right angle triangle?

The term "right-angled triangle" refers to any triangle with an internal angle that is either a right angle or 90 degrees in value. The right triangle or the 90-degree triangle are other names for this triangle because of this. Right triangles have "opposite" and "adjacent" sides, which refer to the sides that are across from and next to respective angles, respectively. When a right triangle is formed, the hypotenuse is its longest side.

We can consider the flagpole, the ground, and the rope as forming a right triangle. The angle between the flagpole and the rope is 90 degrees, and the angle between the rope and the ground is 35 degrees. Therefore, the angle between the flagpole and the ground is 90 - 35 = 55 degrees.

Let's call the length of the rope "r". We can use the trigonometric function tangent to find r:

tan(35°) = opposite/adjacent = r/20

Multiplying both sides by 20, we get:

r = 20 tan(35°)

Using a calculator, we get:

r ≈ 11.9 feet

Therefore, the length of the rope is approximately 11.9 feet.

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The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

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Answer:

35x + 14 and 7(5x + 2)​

Step-by-step explanation:

We have to find the missing values that would also make both expressions equivalent.

_x + 14 and 7(5x + _ )​

In the expression, there are some similarities with the placement of the numbers and variables.

Let find the value of the number next to "x".

You can see that we have to use the distributive property to solve the right expression, and once we do so, we can find our first value.

Use the distributive property:

7(5x)

35x

Now we know that our first value is 35x.

To find our second value, we see that in the first equation it is "14", so we need a number that can be multiplied by 7 to make 14.

7 · 2 = 14

Our second number would be 2.

Your final answer would be: 35x + 14 and 7(5x + 2)​

Once you use the distributive property for the second expression, you would get an equivalent expression as the first one.

Answer:

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The constant of variation of the given problem is calculated as; 240 miles

A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).

Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;

s ∝ 1/t

Thus;

s = k(1/t)

where k is the constant of proportionality

we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;

120 = k(1/2)

Multiply both sides by 2 to get;

240 miles = k

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Answer:

-9

Step-by-step explanation:

x+5 less than or equal -4

x lessthan orcequal -4-5

x less than or equal -9

Answer:

1023/4

Step-by-step explanation:

shown in the picture

The equation that represents the distance, in kilometers, Seb travels (d) based on how many hours he bikes (t) at this rate is d = 20t

The given parameter is

constant rate of 20 kilometers per hour.

This means that

Rate = 20km per hour

When Seb bikes for t hours, the distance is

d = rate * t

This gives

d = 20t

Hence, the equation that represents the distance, in kilometers, Seb travels (d) based on how many hours he bikes (t) at this rate is d = 20t

This means that

t = 5

So, we have:

d = 20 * 5

Evaluate

d = 100

Hence, Seb will travel 100 kilometers if he bikes at this rate for 5 hours

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Answer:

1. d=20t

2. 50

2 + 2 = 4

* * + * *

* * * *

Answer:

4

Step-by-step explanation:

2 + 2 is 4 cause if you add 2 two two’s it would be 4

Answer:

One answer is x = 1, y = -1, and z = 2.

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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Answer:

x = -1/3

Step-by-step explanation:

step one - Simply both sides of the equation

step two - Multiply both side by 4/(-3)

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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Therefore, the measure of angle ∠Y to the nearest tenth of a degree is approximately 103.2 degrees.

To find the measure of angle ∠Y, we need to use the law of cosines, which relates the lengths of the sides of a triangle to the cosine of its angles.

The formula for the law of cosines is:

\(c^2 = a^2 + b^2 - 2ab cos(C)\)

Where a, b, and c are the lengths of the sides of the triangle, and C is the angle opposite to side c.

In our case, we know the lengths of the sides w, x, and y, and we want to find the angle ∠Y, which is opposite to side y. So, we can use the formula as follows:

\(y^2 = w^2 + x^2 - 2wx cos(Y)\)

Substituting the values, we have:

\(630^2 = 170^2 + 590^2 - 2(170)(590) cos(Y)\)

Simplifying and solving for cos(Y):

\(cos(Y) = (170^2 + 590^2 - 630^2) / (2170590)\)

cos(Y) ≈ -0.236

Note that the cosine of an angle is negative if the angle is between 90 and 180 degrees, which is the case for angle ∠Y in this triangle. Therefore, we need to use the inverse cosine function to find the measure of angle ∠Y:

Y ≈ 103.2 degrees

Rounding to the nearest tenth of a degree, we get:

Y ≈ 103.2°

Therefore, the measure of angle ∠Y to the nearest tenth of a degree is approximately 103.2 degrees.

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Answer:

“It’s not hard to steal points”.........................................so thx for points....................................bye

Step-by-step explanation:

The value of f-1(6) if  f-1(x) is the inverse function of f(x), is 20

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

The function f(x) is given as

f(x)= √2x - 4.

From the question, we understand that f-1(x) is the inverse function of f(x),

This means that

To find f-1(6), we set f(x) to 6, and then solve for x

So, we have

√2x - 4 = 6

Take the square of both sides

So, we have

2x - 4 = 36

Add 4 to both sides

2x = 40

Divide both sides by 2

x = 20

Hence, the value of f-1(6) if  f-1(x) is the inverse function of f(x), is 20

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Answer:

SImilar triangles are: ABC, DBG, DEF, and BEH.

Step-by-step explanation:

There are clealy four well defined triangles in the image:

ABC, DBG, DEF, and BEH.

Given the parallelism of the mentioned lines, one can conclude that when those lines parallel to different sides of the triangle ABC for example (to sides AC and CB), intersect, they will also intersect giving similar angles . That is: angle ACB  must equal angle DGB, angle DFE, and angle BHE. Apart from that, the angles around the bases of all four triangles must be equal since they come from parallel lines. That is:

(1) angles BAC, BDG, BDF, and EBH must be equal to each other, and

2) angles ABC, DBG, DEF, and BEH must be equal to each other.

Therefore we have four triangles with congruent angles, which make them similar triangles.

Answer:

55

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Let's take the unknown variable as "x".

Since they are consecutive even numbers, we add 2 for each one.

=> x + x + 2 + x + 4 = 168

=> 3x + 6 = 168

=> 3x + 6 - 6 = 168 - 6

=> 3x = 162

=> 3x/3 = 162/3

=> x = 54

So, the smallest number from those 3 consecutive numbers is 54.

9514 1404 393

Answer:

  (f -g)(x) = -3x^3 +x^2 +2x

Step-by-step explanation:

We assume the expression for g(x) has a typo, and the first term should be 3x^3.

(f -g)(x) = f(x) -g(x) = (3x^2 -2x -9) -(3x^3 +2x^2 -4x -9)

  = 3x^2 -2x -9 -3x^3 -2x^2 +4x +9

  = -3x^3 +(3 -2)x^2 +(-2+4)x +(-9+9)

(f -g)(x) = -3x^3 +x^2 +2x

Answer:

758, 578, 857, 785, 875, 587