There were five cats in an animal daycare one cat ran away and 50 more came. Whats the amount of cats in the daycare?

A graph of the point-slope form equation y - 2 = -3/4(x - 6) is shown in the image attached below.

A graph simply refers to a type of chart that is mainly used to graphically represent data points on both the horizontal (x-coordinate) and vertical lines (y-coordinate) of a cartesian coordinate.

In Mathematics, the point-slope form of a straight line is given by this equation:

y - y₁ = m(x - x₁)

Where:

Given the following data:

y - 2 = -3/4(x - 6)

Next, we would compare the given point-slope form equation with the standard point-slope form as follows:

y - 2 = -3/4(x - 6) ≡ y - y₁ = m(x - x₁)

Therefore, we have the following parameters:

Slope, m = -3/4

Point at x = 6.

Point at y = 2.

In conclusion, you should input the slope, x-value, and y-value into your point-slope form graph as shown in the image attached below.

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Answer:

n

Step-by-step explanation:

nnn

Answer:

\(h = \frac{2a}{b1 + b2} \)

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

Answer:

For Headband

Each player used 13.75 inches of fabric

For Wristband

Each player used 8.81 inches of fabric

Step-by-step explanation:

Glen is making accessories for the soccer team.

For head bands :

He uses 536.25 inches of fabric on headbands for 37 players and 2 coaches.

Let the inches of fabric used be represented by x

536.25 = 37 x + 2x

536.25 inches = 39x

x = 536.25 inches/39

x = 13.75 inches of fabric.

For Wristbands

He also uses 325.97 inches of fabric on wristbands for just the players.

Let y represent the inches of fabric used for players

We have 37 players

Hence:

325.97 = 37y

y = 325.97 inches/37

y = 8.81 inches

Therefore:

For Headbands

Each player used 13.75 inches of fabric

For Wristbands

Each player used 8.81 inches of fabric

Answer:

$324.37

Step-by-step explanation:

First question already answered in other post.

Second Question:

Original price before discount and tax: $354

Discount: 15%

100% - 15% = 85% = 0.85

0.85 * $354 = $300.90

Tax: 7.8%

100% + 7.8% = 107.8% = 1.078

1.078 * $300.90 = $323.37

Answer: $324.37

Answer:

264

Step-by-step explanation:

Divide 480 by 20. (24)

Multiply 24 by 11.  

Answer should be 264

* Hope that helped

Answer:

divide the cost of the lip balm by 5

Step-by-step explanation:

7.25=5c

7.25/5=c

c=1.45

brainliest please

Answer: 27 x 3 − 270 x 2 + 900 x − 1000

Step-by-step explanation: Expand the expression.

The square footage of the rooftop of the clubhouse is 945 ft².

To determine the square footage of the rooftop of the clubhouse, we need to calculate the area of each component separately and then add them together.

Let's start with the parallelograms. Since the two parallelograms are congruent, we only need to calculate the area of one and then double it. The formula for the area of a parallelogram is base multiplied by height.

The base of the parallelogram is the shorter side, which measures 15 ft, and the height is the longer side, which measures 18 ft.

Area of one parallelogram = base × height = 15 ft × 18 ft = 270 ft²

Since there are two congruent parallelograms, the total area for both is:

Total area of parallelograms = 2 × 270 ft² = 540 ft²

Next, let's calculate the area of the rectangle. The rectangle's dimensions are 18 ft by 15 ft.

Area of rectangle = length × width = 18 ft × 15 ft = 270 ft²

Finally, let's calculate the area of the triangle. The triangle's dimensions are the same as the rectangle's width, which is 15 ft, and half of the rectangle's length, which is 18 ft/2 = 9 ft.

Area of triangle = (base × height) / 2 = (15 ft × 9 ft) / 2 = 135 ft²

Now, we can add up the areas of all the components to find the total square footage of the rooftop:

Total square footage of the rooftop = Total area of parallelograms + Area of rectangle + Area of triangle

= 540 ft² + 270 ft² + 135 ft²

= 945 ft²

Therefore, the square footage of the rooftop of the clubhouse is 945 ft².

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Answer: 188.5

Step-by-step explanation:

A=2(πrh)+2(πr^2) (formula)

188.49556

Answer:

3/5

Step-by-step explanation:

The line is going up so it is positive and it is over 3 and up 5 so it would be 3/5.

Hope this helps! Sry if i get it wrong!

The length of c→ is equal to the sum of the lengths of a→ and b→ when c→ is a perpendicular vector to both a→ and b→, meaning that c→ is at a right angle to both a→ and b→.

This is due to the fact that the length of a vector is equal to the length of the hypotenuse of a right triangle, which is the sum of the lengths of the other two sides (a→ and b→). When c→ is perpendicular to both a→ and b→, the right triangle formed by a→, b→, and c→ is a special type of right triangle called a Pythagorean triangle, in which the length of the hypotenuse (c→) is equal to the sum of the lengths of the other two sides (a→ and b→). Thus, the length of c→ is equal to the sum of the lengths of a→ and b→ when c→ is perpendicular to both a→ and b→.

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Answer:

large = 12

medium = 18

Step-by-step explanation:

L + M = 30 => L = 30-M

4L+3M =102

substitute : L with M

=> 4(30-M)+3M =102

120-4M+3M = 102

- M = 102-120

-M = -18

=========> M = 18, L = 12

Answer:

0 no m%m only tictak

Step-by-step explanation:

Answer:

(n +54)/9 = 21; 135= n

Step-by-step explanation:

(n+54)/9 = 21

n+54/9 *9= 21*9

n+54-54 = 189-54

n= 135

the first part is simply recognizing the order its written and the words used.

So to start off with, they use the turn "a number" so we know there's going to be some form of a variable. From there it says "increased by" rather than "multiplied" or "doubled" or something of that nature, so we know its adding 54 rather than multiplying. Then, the next part says that "the sum" which is another key term for addition, "is then divided by 9". So we can assume so far that a variable plus 54 is added together to get a number, which is then going to be taken and divided by 9. The last part says "the result is 21", which simply means that we need to end up with 21.

So once we gather all this information, we can put it together as so: (n +54)/ 9 = 21.

I put parentheses around the n + 54 to make sure that the equation is following the system of equations (PEMDAS).

1. x =5

2. x = 7

3. p = 12

4. m=2

5. z = 10

Answer:

Below in bold.

Step-by-step explanation:

1) 4x - 7 = 13

4x = 20

x = 20/4

x = 5.

2)  3x + 4 = 25

3x = 21

x = 7.

3) p/3 + 5 = 9

p/3 = 9 -5 = 4

Multiply both sides by 3:

p =  3*4

p = 12.

4)   m/5 + 2 = 12/5

Multiply through by 5:

m + 10 = 12

m = 12 -10

m = 2.

5) 4z/5 - 2 = 6

4z/5 = 8

Cross multiply:

4z = 5*8

4z = 40

z = 10.

The number you should pick is 7

To determine the best number to pick, we need to analyze the probabilities of rolling each possible sum.

The 6-sided dice can produce numbers from 1 to 6, and the 10-sided dice can produce numbers from 1 to 10. The maximum possible sum is 6 + 10 = 16.

We can calculate the probabilities of each sum by considering all the possible combinations of numbers on the dice.

Here is a table showing the sums and their corresponding probabilities:

Sum  Probability

2      1/60

3     2/60

4          3/60

5     4/60

6     5/60

7     6/60

8     5/60

9     4/60

10     3/60

11     2/60

12      1/60

13-16 0

To determine the best number to pick, we need to consider the probabilities of winning for each sum. The higher the probability, the better chance of winning.

By examining the probabilities, we can see that the sums with the highest probabilities are 7  with a probability of 6/60 or 1/10.

Therefore, if you want to maximize your chances of winning, you should pick 7 as your guess.

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Answer: w= -10

Step-by-step explanation:

1. add 3 with positive 7 to make 10. The equation is now -9w+10= -10w

2. add 9 with -10 to make -1w the is now 10= -1w

3. divide 10/-1 to make -1

and that’s how w= -10

no it’s not identity

Answer:

\(\displaystyle{P(x)=x^3-x^2}\)

Step-by-step explanation:

Given the zeros of 0, 0, 1. We can write the polynomial in form of x-intersects:

\(\displaystyle{P(x) = (x-x_1)(x-x_2)(x-x_3)}\)

Hence:

\(\displaystyle{P(x)=(x-0)(x-0)(x-1)}\)

Which can be simplified to:

\(\displaystyle{P(x)=x\cdot x \cdot (x-1)}\\\\\displaystyle{P(x)=x^2(x-1)}\)

Convert to the standard form by distributing x²:

\(\displaystyle{P(x)=x^2\cdot x - x^2 \cdot 1}\\\\\displaystyle{P(x)=x^3-x^2}\)

The result of applying the square root property of equality to this equation is x = (-b ± √(b² - 4ac)) / (2a)

If we apply the square root property of equality to the equation (x + (b/2a))² = (-4ac + b²)/(4a²), we get:

x + (b/2a) = ±√[(-4ac + b²)/(4a²)]

Next, we can simplify the expression under the square root:

√[(-4ac + b²)/(4a²)] = √(-4ac + b²)/2a

Now, we can substitute this expression back into our original equation:

x + (b/2a) = ±√(-4ac + b²)/2a

Finally, we can isolate x by subtracting (b/2a) from both sides:

x = (-b ± √(b² - 4ac)) / (2a)

This is the quadratic formula, which gives us the solutions for the quadratic equation ax² + bx + c = 0. By completing the square, we have derived this formula from the original quadratic equation.

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Complete question is:

In the derivation of the quadratic formula by completing the square, the equation (x+ (b/2a))² =(-4ac+b²)/(4a²) is created by forming a perfect square trinomial What is the result of applying the square root property of equality to this equation?

Answer:

  6

Step-by-step explanation:

You want to know the number of uphill integers divisible by 15, where an uphill integer is one that has its digits strictly increasing.

An integer will be divisible by 15 if and only if it is divisible by 3 and 5. An integer is divisible by 5 if it ends in 5 or 0. An uphill integer cannot end in 0, so must end in 5.

An integer is divisible by 3 if the sum of its digits is divisible by 3

An uphill integer will have differences between successive digits that are positive integers. In order for the final digit to be 5, the sum of these differences must be 5. Hence we can find uphill integers by considering the "integer partitions" of 5: the sets of positive integers whose total is 5. Those sets would be ...

  {5}, {4, 1}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}

Uphill integers will also have digit differences that are some permutation of each of these sets. For example, the digit differences may be {4, 1} or {1, 4}, corresponding to the numbers 45 or 15.

The uphill integers that end in 5 are ...

  5, 45, 15, 35, 25, 345, 145, 125, 245, 235, 135, 2345, 1345, 1245, 1235, 12345

We already know each of these is divisible by 5. The ones that have a digit total that is a multiple of 3 are ...

  15, 45, 135, 345, 1245, 12345

There are 6 uphill integers divisible by 15.

Answer:

\(= \frac{2m^2n^8}{3}\)

Step-by-step explanation:

Given expression is

\((\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}\)

The correct simplified form is shown below:-

From the above equation, we will simplify

we will shift \(m^{-6}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}\)

now we will shift the \(n^{-8}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}\)

here we will solve the above equation which is shown below

\(= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}\)

So,

\(= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}\)

Which gives result

\(= \frac{2m^2n^8}{3}\)

Answer:

224

Step-by-step explanation:

200*0.12=24

200+24=224

The amount to be paid for the loan is $248.

'Simple interest is the interest amount for a particular principal amount of money at some rate of interest.

According to the given problem,

Principal amount (P) = $200

Rate of interest (r) = 12%

Time period (t) = 2 years

We know,

Final amount to be paid with interest (A) = P( 1 + rt )  

                                                                   = 200{ 1 + ( 0.12 × 2 )

                                                                   = 200( 1 + 0.24 )

                                                                   = 200 × 1.24

                                                                   = $248

Hence, we can conclude, we have to pay $248 for the loan.

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In conclusion, a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41) is y= (-1/9)(x+1)²+4. By using the general form of a quadratic function

A quadratic function can be written in the form y = a(x-h)² + k, where (h,k) is the vertex of the parabola and a determines the shape and direction of the opening of the parabola.

To satisfy the given conditions, we know that the vertex of the parabola must lie on the axis of symmetry x = -1, and that the maximum value of the function is 4.

Using this information, we can write the quadratic function as y = a(x+1)² + 4. To determine the value of a, we can use the fact that the function passes through the point (-16,-41).

Substituting these values into the equation, we get -41 = a(-16+1)² + 4. Solving for a, we get a = -1/9.

Therefore, the quadratic function that satisfies the given conditions is y = (-1/9)(x+1)² + 4.



To find a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41), we can use the general form y=a(x-h)²+k. Since the vertex of the parabola must lie on the axis of symmetry, we can set h=-1. The maximum value of the function occurs at the vertex, so we know k=4. By substituting the point (-16,-41) into the equation, we can solve for the value of a and obtain a=-1/9. Therefore, the quadratic function is y= (-1/9)(x+1))²+4.



In conclusion, a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41) is y= (-1/9)(x+1)²+4. By using the general form of a quadratic function and the information given, we can determine the vertex and value of a, which allows us to write the equation of the parabola in standard form.

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i don't know the answer to this question, but i can give you an example that way you can find your own answer!

possible answers for the example question:

65∘

115∘

35∘

75∘

85∘

To find the measure of angle DAC, we must know that the interior angles of all triangles sum up to 180 degrees. Also, as this is an isosceles trapezoid, ∠ADC and ∠BCD are equal to each other. The two diagonals within the trapezoid bisect angles ∠ADC and ∠BCD at the same angle.

Thus, ∠ACD must also be equal to 50 degrees.

Thus, ∠ADC=50+15=65.

Now that we know two angles out of the three in the triangle on the left, we can subtract them from 180 degrees to find ∠DAC:

180−65−50=65

the correct answer for the example question is 65 degrees

There are 4 companies that can build 3 identical houses, so there are 4 ways to choose the company that will build the first house, 3 ways to choose the company that will build the second house, and 2 ways to choose the company that will build the third house. Therefore, there are 4 x 3 x 2 = 24 different combinations.

There are three companies that can build one house and one warehouse. We can choose the company that will build the house in 3 ways, and then we can choose the company that will build the warehouse in 2 ways. Therefore, there are 3 x 2 = 6 different combinations. The combinations are:

A,B; A,C; B,A; B,C; C,A; C,B.

These are all the possible ways that the companies can be chosen to build one house and one warehouse.

The four companies that can build 3 identical houses have 24 different combinations. The three companies that can build one house and one warehouse have 6 different combinations.

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Answer:

48

Step-by-step explanation:

25% is 1/4 of the bag. 12x4 = 48.

There are 48 jelly beans in the bag.

Hope that helps

Answer:

The answer is 48.

Step-by-step explanation:

25%= times by 4.

So.. 12 times 4 = 48.

Hope that helps. x

The product of radical 5 and 10 radical 30 in simplest radical form is 50√6

An expression is combination of variables, numbers and operators.

We need to find the product of radical 5 and 10 radical 30 in simplest radical form

It can be written as √5×10√30

√a.√b=√ab

√5×10√30

10√5×30

10√150

10√25×6

10.5√6

50√6

Hence, the product of radical 5 and 10 radical 30 in simplest radical form is 50√6

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Answer:

What the other dude said:

The product of radical 5 and 10 radical 30 in simplest radical form is 50√6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

447 = 3 ×149

577 = 577 (prime number)

669 = 3 × 223

HCF = 1