If a kennel has 50 dogs and some of them are puppies and some of them are adult dogs . The ratio of puppies to adult dogs in a kennel are 2:3 . How many puppies are there?

The equation of a direct variation: y = kx

Therefore your answer is [tex]D)\ y=\dfrac{2}{3}x[/tex]

x + 4x = 150

5x = 150  

x = 30

John has x = 30 coins

Mary has 4x = 4*30 = 120 coins.Let the number of coins John has be "x".

The the number of coins Mary has is "4x"

John has 40 coin and Mary has 160 coins because 40 times 4 equals 160 and 160 plus 40 equals 200 so Mary has 160 and John has 40

x-intercept → y = 0

substitute to 4x - 3y = -24:

4x - 3(0) = -24

4x - 0 = -24

4x = -24   |divide both sides by 4

x = -6

t^2-t=12

t^2-t-12=0

(t-4)(t+3)=0

t=4, -t^2-t=12

t^2-t-12=0

(t-4)(t+3)=0

t=4, -t^2-t=12

t^2-t-12=0

(t-4)(t+3)=0

t=4, -t^2-t=12

t^2-t-12=0

(t-4)(t+3)=0

I think the answer to your problem is 69

The value of CD = AB = 6.5 cm. Angle CDA = 0 degrees.

To find the value of CD, we can use the fact that the opposite sides of a Trapezium properties are parallel and equal in length.

So, CD = AB = 6.5 cm.

Next, to find the size of angle CDA, we can use the fact that angles formed between perpendicular lines and the base of a trapezium are complementary.

Since BM is perpendicular to AD, angle CDA + angle BDM = 90 degrees.

We are given that angle BDM is 90 degrees, so angle CDA must be 0 degrees.

Learn more about Trapezium properties here:

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The probable question may be:

ABCD is  a trapezium

B draws a perpendicular line on segment AD  as BM is 90 degree

AB=6.5 cm, AD=23 cm, BC=9 cm , BM is 6 cm

Find the value of CD. Work out the size of angle CDA

Answer:

[tex]k=73[/tex]

Step-by-step explanation:

We have been given a triangle. We are asked to find the value of k for our given triangle.

We will use angle sum property to solve for k. The angle sum property states that all angles of triangle add up-to 180 degrees.

[tex]k+62^{\circ}+45^{\circ}=180^{\circ}[/tex]

[tex]k+107^{\circ}=180^{\circ}[/tex]

[tex]k+107^{\circ}-107^{\circ}=180^{\circ}-107^{\circ}[/tex]

[tex]k=73^{\circ}[/tex]

Therefore, the value of k is 73.

The value of  [tex]\angle{k}[/tex] is [tex]\fbox{\begin\\\ \bf 73^{\circ}\\\end{minispace}}[/tex].

Further explanation:

Consider, the given triangle as [tex]\triangle{ABC}[/tex]  shown in figure 1.

Now, the value of [tex]\angle{A}[/tex] is 62 degree, the value of [tex]\angle{B}[/tex] is 45 degree and the value of [tex]\angle{C}[/tex] is [tex]k[/tex] .

From the property of the triangle, we know that sum of angles of a triangle is equal to 180 degree.

Now, for [tex]\triangle{ABC}[/tex] it can be written as follows:

[tex]A+B+C=180[/tex]                                                    ……(1)

Substitute 62 for [tex]A[/tex], 45 for [tex]B[/tex] and [tex]k[/tex] for [tex]C[/tex] in equation (1) to obtain the value of [tex]k[/tex].

[tex]\begin{aligned}62+45+k&=180\\107+k&=180\\k&=180-107\\k&=73\end{aligned}[/tex]

Thus, the value of angle [tex]k[/tex] is [tex]\fbox{\begin\\\ \bf 73^{\circ}\\\end{minispace}}[/tex].

Learn more:

1. Which rule describes the transformation? https://brainly.com/question/2992432

2. Which undefined term is needed to define an angle? https://brainly.com/question/3717797

3. Look at the figure, which trigonometric ratio should you use to find x? https://brainly.com/question/9880052

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangle

Keywords: triangle, similar, similarity, ratio of sides, right triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs, sum of angle of triangle, property of triangle, triangle ABC.

The answer should be 1y and -6y

(0, 0) → t = 0, w = 0 → w = 0 · 0

(1, 4) → t = 1, w = 4 → w = 1 · 4

(2, 8) → t = 2, w = 8 → w = 2 · 4

(3, 12) → t = 3, w = 12 → w = 3 · 4

Given equation : [tex]\frac{x}{42}=\frac{3}{7}[/tex].

Strategy 1: We can cross mutiply both sides remove fraction form.

On cross multiplication, we get

x * 7 = 3 * 42

7x = 126.

Dividing both sides by 7, we get

Strategy 2: We can find least common denominator(lcd) of both sides and multiplying both sides by that lcd to get rid denominators from both sides.

LCD of 42 and 7 is 42.

Therefore, multiplying both sides by 42, we get

[tex]42\times \frac{x}{42}=42\times\frac{3}{7}[/tex]

x = 6 * 3

35 Centimeters Less than Triple the width:

190 cm.   The Perimeter of the box:

W       =      Width of Box

L         =        Length of Box

Length      =     3c    -     35

2W       +    2L        =    190

Just solve to get your answer

Hope that helps!!!!                           : )

Answer:

Step-by-step explanation:

Given equation is,

y=-0.5x-2

when x=-2 , y=-0.5(-2)-2=1-2=-1

when x=0 , y=-0.5(0)-2=0-2=-2

when x=2 , y=-0.5(2)-2=-1-2=-3

So, we get the points (-2,-1) , (0,-2) , (2,-3)

Now, using the points on the graph and adding them, we will get the graph of given line.

Please check image for the graph.

Now for the second part- we have to find values of x , for which y is positive.

That means, y will be above the x-axis.

From the graph we can see that-  when x<-4,

then the graph is above the x-axis.

So, for all values of x, which are less than  -4,

we will get the positive graph.

To expand the expression (y + 2)(2y^2 + y + 4), use the distributive property and multiply each term. Combine like terms to simplify the expression.

The given expression is (y + 2)(2y^2 + y + 4). To expand this expression, we can use the distributive property. We multiply each term in the first expression (y + 2) by each term in the second expression (2y^2 + y + 4).

Using the distributive property, we get:

(y + 2)(2y^2 + y + 4) = y * 2y^2 + y * y + y * 4 + 2 * 2y^2 + 2 * y + 2 * 4

Simplifying this expression, we get:

2y^3 + y^2 + 4y + 4y^2 + 2y + 8

Combining like terms, we have:

2y^3 + 5y^2 + 6y + 8

6x-1=4x+6

subtracting  4x from each side

2x-1=6

adding 1 to each side

2x=7

divide by 2

x=7/2 or 3.5

check:  6(7/2) -1 =4(7/2)+6

           21-1 =14+6

20=20  correct

The length of a side of the square can be found using the Pythagorean theorem. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore, we find the length of a side of the square to be the square root of half of the square of the hypotenuse.

To find the length of the side of the square, we are going to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Consider a square with a hypotenuse labeled as 's'. If we bisect this square diagonally, we form two right triangles. Since the sides of the square are equal, we can denote the other two sides of the right triangle as 'D' and 'L'. So, the Pythagorean theorem becomes: D² + D² = s², since D = L. Solving this, we find that s² = 2D².

Therefore, the length of a side of the square 'D'= √(s²/2).

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A relation is a set of numbers that have a relationship through the use of a domain and a range, while a function is a relation that has a specific set of numbers that causes there to be only be one range of numbers for each domain of numbers. All functions are relations, but all relations are not functions.

Given two sets [tex] A [/tex] and [tex] B [/tex], the "starting" set is called the domain, while the "landing" set is called the codomain.

With that being said, a relation is any way you can associate any number of elements in the domain with every number of elements in the codomain.

A function has more restriction: you can associate one and only one output for every input.

If you visualize this with arrows linking domain and codomain, in order for a relation to be a function, only one arrow can start from each point in the domain.

The domain is thus the set of elements from whence an arrow starts. The range is the subset of the codomain, given by the elements that are reached by at least one arrow.

Answer: x=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

The line has a slope (m) of 1 and a y-intercept (b) of -7. Thus the equation in slope-intercept form is

... y = mx + b

... y = x - 7

For a linear function such as this, the size of the domain is equal to the size of the range (because the slope is 1). Thus when one increases, so does the other.

_____

Comments on the problem

It appears the first answer choice is a result of mixing up slope and intercept in the equation of the line. A slope (x-coefficient) of -7 is a pretty steep line going downward from left to right. The graph does not have that characteristic.

It is a bit unusual to talk about domain and range increasing or decreasing. The domain is the region over which the function is defined, so is generally fixed. The range is the corresponding set of values of the function, fixed once the domain is determined. Here, since the function is linear, if one were to define it over a larger region, the range of values produced by the function would also get larger.

Solution:

This problem is a permutation because the order matters here. This means that choosing A as King, B as Knight, C as Bishop and D as Rook results in a different arrangement from B as King, A as Knight, D as Bishop and C as Rook. We would count them both because in the first case A is King, but in the second case A is Knight.

Therefore, the possible number of ways are given below:

[tex]19P4=\frac{19!}{(19-4)!} =\frac{19 \times 18 \times 17 \times 16 \times 15!}{15!} =19 \times 18 \times 17 \times 16 =93024[/tex]

Hence there will be 93024 ways 19 members of a chess club fill the offices of King, Knight, Bishop, and Rook.

There are 19 members in the chess club, and they can fill the offices of King, Knight, Bishop, and Rook in 38760 ways.

In how many ways can the 19 members of a chess club fill the offices of​ King, Knight,​ Bishop, and​ Rook.

To determine the number of ways to fill the offices, we use the concept of permutations. Since each office must be filled by a different member, the number of ways is calculated as 19P4 = 19! / (19-4)! = 38760 ways.

Answer: He bought 2.89 pounds of cameo apples.

Step-by-step explanation:

Since we have given that

Total number of pounds of apples he bought = 4.08

Number of gala apples = 1.19 pounds

So, the rest are cameo apples.

As we know to get the remaining value we always use the subtraction operation,

Now,

[tex]4.08-1.19=2.89[/tex]

So, 2089 pounds of apple are cameo apples.

Final answer:

To find out how many pounds of cameo apples Jake bought, subtract the pounds of gala apples (1.19 pounds) from the total pounds of apples (4.08 pounds), resulting in 2.89 pounds of cameo apples.

Explanation:

Jake bought 4.08 pounds of apples. He knows that 1.19 pounds are gala apples and needs to find out how many pounds of cameo apples he bought. To find the weight of the cameo apples, we subtract the weight of the gala apples from the total weight of apples purchased.

So, the calculation will be as follows:
Total weight of apples - Weight of gala apples = Weight of cameo apples.

4.08 pounds - 1.19 pounds = 2.89 pounds.

Thus, Jake bought 2.89 pounds of cameo apples.

Answer:

Step-by-step explanation:

(2005, 12,000)        (2005, 12,000)

   x1          y1                x2           y2

m= (12,250-1200) /  (2010-2005) = 250/5 = 50/1 = or 50

The expression 'square root of 18 plus square root of 2' is irrational and equal to 3 multiplied by the square root of 2.

The expression square root of 18 plus square root of 2 is irrational and equal to 3 multiplied by the square root of 2. To simplify the expression, we can't combine the square roots. Therefore, the expression remains in the form of irrational number multiplied by another irrational number.

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Answer:

The solution is (-3, -2).

Step-by-step explanation:

Please note that if you simply add these 2 equations together, 9x - 9x = 0, and you are then left with -5y = 10.  Thus, y = -2.  Subbing -2 for y in the first equation, we get 9x - 8(-2) = -11, or 9x + 16 = -11.

Subtracting 16 from both sides, we get 9x = -27, so that x = -3.

The solution is (-3, -2).

We know that 4 cans of coffee cost $1.60. So, if we divide that number by 4, we get

[tex] 4\text{ cans of coffee} = 1.60 \iff \dfrac{4\text{ cans of coffee}}{4} = \dfrac{1.60}{4} \iff 1 \text{ can of coffee} = 0.4 [/tex]

Now we can simply repeat this process again: if we divide both sides by 4, we get

[tex] 1 \text{ can of coffee} = 0.4 \iff \dfrac{1 \text{ can of coffee}}{4} = \dfrac{0.4}{4} \iff \dfrac{1}{4}\text{ cans of coffee} = 0.1 [/tex]

Answer:

[tex]70\% \text{ of } 400=280[/tex]

Step-by-step explanation:

To find : Use the fractions to write and evaluate a multiplication expression that represents 70% of 400.

Solution :

Expression 70% of 400 is written as,

[tex]70\% \text{ of } 400=\frac{70}{100}\times 400[/tex]

[tex]70\% \text{ of } 400=70\times 4[/tex]

[tex]70\% \text{ of } 400=280[/tex]

Therefore, [tex]70\% \text{ of } 400=280[/tex]

It is called "trash landing". :)

This is a show of word play which sounds similar to “crash landing” (trash/crash), crash landing is actually an organized landing made by an airplane because of a crisis containing a fast approaching or continuous danger to the well being and activity of the flying machine, but in this case as the plane land in garbage the word “crash” is replaced by “trash” giving a humorous meaning to the phrase.

Hope this helped :)

A crash landing describes a plane coming down in a garbage heap, whereas a stall refers to the loss of lift on an airplane's wings, which may not lead to a crash. The term 'Vomit Comet' is used for an aircraft simulating weightlessness in a controlled fall, different from a crash scenario.

When a plane comes down in a garbage heap, it can be referred to as a crash landing in a less formal context, especially if the aircraft is damaged in the process. In aviation, a stall is a condition in which the airplane's wings lose lift due to an insufficient angle of attack, but it does not necessarily result in a crash. Engine failure, which people often confuse with a stall, does not always result in a plane coming down immediately; pilots are trained to handle such situations and aim for a safe landing. In training simulations, astronauts and pilots may experience controlled falls to mimic various scenarios, such as the 'Vomit Comet' used for simulating weightlessness. However, such controlled descents are carefully managed to avoid accidents.

Environmental aspects can also be considered when relating a plane's descent to garbage heaps. For example, the way resources are depleted and environmental sinks become overwhelmed, as mentioned in 'The Tragedy of the Commons,' can be analogous to how an overloaded trash can at a concert spills over, drawing a parallel to the ecological impacts of mishandled waste.

The function would be

p = $30 + $12w

or

p = $12w + 30

The function representing the total cost of the club membership is p(w) = 12w + 30, where 'w' is the number of weeks.

The student is essentially asking to write a function which represents the cost of a club membership based on a fixed fee and a weekly cost. This is an example of a linear function in the form of y = mx + b. In this case, 'y' is the total cost 'p', 'm' is the weekly cost $12 (w), 'x' is the number of weeks, and 'b' is the fixed enrollment fee $30.

Thus, the function representing the total cost of the club membership is p(w) = 12w + 30. This equation can be used to find the total cost of the club membership for any number of weeks 'w'.

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#1

Answer:

$79.99

Step-by-step explanation:

Add Up All Charges

17.01 + 5 + 2 + 3 = 27.01

Subtract For Winning Lottery Tickets

27.01 - 5 - 2 = 20.01

Subtract Total From $100

100 - 20.01 = 79.99

#2

Answer:

14.

Step by Step Explanation:

Find Out How Many Bars You Use In 7 Days

300 * 7 = 2100

Divide By The Number Of Cases

2100 / 150 = 14

ANSWER

EXPLANATION

We want to solve

[tex]0.5(7d+4)=7-1.5d[/tex]

Let us first multiply through by [tex]10[/tex] to clear the decimal.

[tex]10\times 0.5(7d+4)=7\times 10 -1.5d\times 10[/tex]

This implies that;

[tex]5(7d+4)=70 -15d[/tex]

We now expand to obtain;

[tex]35d+20=70 -15d[/tex]

We group like terms to obtain;

[tex]35d+15d=70 -20[/tex]

[tex]50d=50[/tex]

Dividing through by 50 gives;

[tex]d=1[/tex]

Answer:

The value of the equation for d is 1.

Step-by-step explanation:

Consider the provide equation.

[tex]0.5(7d+4)=7-1.5d[/tex]

We need to solve the equation for d.

Open the parentheses.

[tex]3.5d+2=7-1.5d[/tex]

Add 1.5d both sides.

[tex]3.5d+1.5d+2=7-1.5d+1.5d[/tex]

[tex]5d+2=7[/tex]

Subtract 2 from both sides.

[tex]5d+2-2=7-2[/tex]

[tex]5d=5[/tex]

Divide both the sides by 5.

[tex]d=1[/tex]

Hence, the value of the equation for d is 1.

The first one  is your answer because if you plug into the cal it shows the x and y table and it shows that the first one is correct.

The correct ordered pairs for the equation y = -4x + 5 are (-1, 9) and (1, 1).

The correct ordered pairs for the equation y = -4x + 5 are (-1, 9) and (1, 1).

To determine if an ordered pair is a solution to the equation, substitute the x and y values into the equation and check if the equation holds true. For example, for the ordered pair (-1, 9):

y = -4x + 5

9 = -4(-1) + 5

9 = 4 + 5

9 = 9

Since the equation is true, (-1, 9) is a solution to the equation.

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f(x) = 2(5)ˣ

You can tell from the given equation that (5) is the multiplicative rate of change because 5 is the value being raised to the x-power.  

Let's see if that is true:

x  y

1  10        (10 x 5 = 50) so next y-value should be 50.

2  50       (50 x 5 = 250) so next y-value should be 250.

3  250    

Can you calculate what the next ccordinate will be? (4, ____)   (250 x 5 = 1250)

Answer: 5