There are 450 taxi drivers in the city. 32% of the drivers are above 35 years of age. How many drivers, d, are above 35 years of age?

Answer:

???

Step-by-step explanation:

Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

The same 300kg of chocolate will last 4 days when the princess got 4 more dragons for her birthday, and she already had two pet dragons.

This was a work-time problem where the eating of chocolate was the work, the days showed the time, and the dragons were the workers, all equally efficient.

To solve work and time problems, we generally try to calculate the work done in 1 day by 1 person and then try to calculate work and time accordingly to the question.

In the question, we are informed that a princess has two pet dragons who can eat 300kg of chocolate in 12 days.

We are asked to find the number of days it will take the dragons to eat 300kg of chocolate if the princess got 4 more dragons for her birthday.

We are given that 2 dragons eat 300kg of chocolate in 12 days.

Therefore, 1 dragon eats 150kg of chocolate in 12 days.

Therefore, 1 dragon eats 150/12 kg of chocolate in 1 day.

Now, in the new case, the princess has got 2 + 4 = 6 dragons.

Therefore, the amount of chocolate that 6 dragons will it together in 1 day = (150/12)*6 = 75kg.

Therefore, 300kg of chocolate will last 300/75 days when the princess will have 6  dragons, that is, 4 days.

Therefore, the same 300kg of chocolate will last 4 days when the princess got 4 more dragons for her birthday, and she already had two pet dragons.

This was a work-time problem where the eating of chocolate was the work, the days showed the time, and the dragons were the workers, all equally efficient.

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Answer:

Yes

Step-by-step explanation:

The octopus chose the rectangles 68% of the time. From this observation you can tell that the octopus has learned there is food under the rectangular shape. Its cognitive abilities are less than a human's, but they are able to discern a rectangle from a circle with success.

Good luck ^^

The number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is 25 times.

The surface area of a rectangular prism is as follows;

surface area = lwh

where

Therefore,

surface area of the first prism = 8 ft²

surface area of the second prism = 200 ft²

Therefore, the number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is as follows;

200 / 8 = 25

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25, I got it right on my lesson... The other person is correct!!!!!!!

Part B:

From the garph given, the solution to the system of equations will be the point where both lines intersect (where they meet).

The point of intersection is:

(x, y) ==> (2, 1)

Thus, we have the solution to the system of equations in the graph:

x = 2, y = 1

Part C:

Let's find the equation for both lines on the graph.

Use the slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept

For line 1:

Take the points:

(x1, y1) ==> (4, 0)

(x2, y2) ==> (0, 2)

Find the slope using the slope formula:

The y-intercept (b) is = 2

The slope(m) is = -½

Thus the equation of line 1 is:

y = -½x + 2

For line 2:

Take the points:

(x1, y1) ==> (0, -5)

(x2, y2) ==> (2, 1)

Find the slope:

The slope(m) is 3

The y-intercept(b) is -5

Thus, the equation of line 2 is:

y = 3x - 5

Therefore, we have the system of equations:

Let's solve the system.

Eliminate the equal sides and combine the equations

We have:

-½x + 2 = 3x - 5

Subtract 2 from both sides:

-½x + 2 - 2 = 3x - 5 - 2

-½x = 3x - 7

Multiply all terms by 2:

Subtract 6x from both sides:

Divide both sides by -7:

Substitute 2 for x in either of the equations.

Take equation 2:

y = 3x - 5

y = 3(2) - 5

y = 6 - 5

y = 1

Therefore, we have the solution to the system:

x = 2, y = 1

ANSWER:

x = 2, y = 1

For this problem we know that the measure of x and y are equal. So then we can set up the following equation:

If we distribute the terms in the left of the equation we got:

And solving for m we got:

And then the final answer for this case would be m=32

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Answer:

182, 174

Step-by-step explanation:

Let Washington have W hits and Sanchez have S hits.

We know that W+S=356 and that W-8=S.

Substituting the second equation into the first, we get that 2W-8=356, meaning 2W=364, and thus W=182.

Therefore, S=182-8=174.

Answer:

356/2 to find if they both got the same amount, then add 4 because (4 times 2 is 8), and by adding 4, you are subtracting 4 from the other player, meaning that they have a difference of 8. The end answer is 182 for Washington, and 174 for Sanchez.

If I helped, brainiest would be nice!

Answer:

334 square inches

Step-by-step explanation:

Base terms

Length, l : 11

Width, w : 7

Height, h : 5

S=2(lw+lh+wh)

S= 2(11*7 + 11*5 + 7*5)  

Surface area, SA : 334.00  

Cuboid is a simple figure. It has three dimensions - width, length and height.

S=2(lw+lh+wh)

Answer:

340in squared

Step-by-step explanation: Surface area formula: add areas of all faces.

Answer:

4 scoops of ice cream

Step-by-step explanation:

Plug in the total cost, number of scoops of nuts, and number of liquid toppings into the formula. Then, solve for s:

C = 0.50s + 0.35n + 0.25t

3.55 = 0.50s + 0.35(3) + 0.25(2)

3.55 = 0.50s + 1.05 + 0.5

3.55 = 0.50s + 1.55

2 = 0.50s

4 = s

So, the sundae had 4 scoops of ice cream.

Answer:

Let

Breadth =x

length=x+5

As we know that in a rectangle

\({\boxed{\sf Area=lb}}\)

\({:}\longrightarrow\)\(\sf x (x+5)=300\)

\({:}\longrightarrow\)\(\sf x^2+5x=300 \)

\({:}\longrightarrow\)\(\sf x^2+5x-300=0 \)

\({:}\longrightarrow\)\(\sf x^2+20x-15x-300=0 \)

\({:}\longrightarrow\)\(\sf x (x+20)-15 (x+20)=0 \)

\({:}\longrightarrow\)\(\sf (x+20)(x-15)=0 \)

\({:}\longrightarrow\)\(\sf x+20=0\:or\:x-15=0 \)

\({:}\longrightarrow\)\(\sf x=-20 (Impossible)\:or \;x=15 \)

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

x = ±5

Step-by-step explanation:

x^2 – 9 = 16

Add 9 to each side

x^2 – 9+9 = 16+9

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

Answer:

\(x = 5 \: \: \: or \: \: x = - 5\)

Step-by-step explanation:

\( {x}^{2} - 9 = 16 \\ {x}^{2} = 16 + 9 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = 5 \\ x = - 5\)

hope this helps

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Answer:

D is the best answer to the question

Using the control group concept, it is found that the correct option is:

In this problem:

Hence, applying the concept, the group that received a pill pack resembling the new weight-loss pill pack (the placebo pack) is the control group.

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Answer:

4.428571429

Step-by-step explanation:

You have to do 8+6 then 62 divided by 14 and then thats what your x equals.

Answer:

x=9

Step-by-step explanation:

start with

6x+8=62

subtract 8 from each side

6x=54

divide each side by 6

x=9

Answer:

Step-by-step explanation:

r=4 in

h=15 in

The paint can is a cylinder. The volume of the cylinder is: V=S×h (S stands for the area of the base, h is for height).

The area of our cylinder's base is a circle, so:

S=πr²=4²×π=16π≈50.24 (in²)

Thus, the volume is:

V≈50.24×15≈753.6 (in³)

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

seriously??

have you heard of calculators lol

the answer is 3.45

Answer:

it will be -12 F

Step-by-step explanation:

IT is already -2 F so if you add -2 + -10= -12

Answer:

7/10= y/ 100

Well the answer is

y=70

Answer: The formula can be useful because we can use the sum and difference formulas to identify the sum or difference of angles when the ratio of sine, cosine, or tangent is provided for each of the individual angles.

Answer:

 3x + 7

Step-by-step explanation:

Hope this helps you :)

The value of y for the inequality is y  >  0

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

The inequality 2 times the quantity y plus one third end quantity is greater than two thirds can be written as:

2(y + 1/3) > 2/3

To determine the value of y in the inequality, you need to solve for y. That is:

2(y + 1/3) > 2/3  

y + 1/3 > 1/3     (Divide both sides by 2)

y > 1/3 - 1/3     (Collect like terms)

y > 0

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