Why is y=1/4x a function

Answer:

4x - 5

Step-by-step explanation:

Number of women = x

Four times as many women = 4*x = 4x

Five less than 4x = 4x - 5

Answer:

the answer is true

Step-by-step explanation:

i took it on edg

The ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

A ratio is an ordered pair of numbers a and b.

It is written as:

a / b

where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other.

We have,

In one serving:

= 3/4

The ratio of ounces of water to the ounces of fruit is 3/4.

In every number of servings, the ratios must be in proportion so,

We have the following cases:

2 servings:

= 3x2 / 4x2

= 6/8

3 servings:

= 3x3 / 4x3

= 9/12

4 servings:

= 3x4 / 4x4

= 12/16

5 servings:

= 3x5 / 4x5

= 15 / 20

Thus the ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

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Answer:

The volume of a prism is the area of the base times the height, V=Bh. The volume of a rectangular prism is the length times width times height, V=lwh. The volume of a cube is the length of one side cubed, V=s3.

Step-by-step explanation:

if you don't get it, then i'll just answer.

Answer:

66

Step-by-step explanation:

Well funny enough I think this is a twisted quiz coz directly the last statement says;24 like to eat both apples and bananas,so those that don't like both but like either of them is simply 90-24=66.

My thinking ,oops

Answer: 30%

Step-by-step explanation:

Let A be the probability of a student opting for mathematics - it consists of either boy opting for mathematics or girl opting for mathematics. As there is "or" we need to sum these probabilities.

\(P(A) = P(B)* P(M|G) + P(G)*P(M|G)\)

\(P(A) = \frac{1}{2} * \frac{20}{100} + \frac{1}{2} * \frac{40}{100}\)

\(P(A) = 3/10 = 0.3\)

=> 30%

Answer:

30% Chance

Step-by-step explanation:

This one is rather simple. If half the class is girls, split 40 into half. Do the same with 20 if half is boys. Add 10 and 20 and you get 30.

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:  first choice is correct

Step-by-step explanation:

\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)

22/9 = 2.44

Therefore Point A is 22/9, Point B is \(\sqrt{10}\),  Point C is \(\sqrt{13}\)

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:

-2

Step-by-step explanation:

To find slope, we need to use the formula

\(\frac{y2-y1}{x2-x1}\)

Substituting your coordinates (-1,8) and (5,-4) , we get -2 as a result.

Hope this helped!!

Answer:

slope = - 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (5, - 4 )

m = \(\frac{-4-8}{5-(-1)}\) = \(\frac{-12}{5+1}\) = \(\frac{-12}{6}\) = - 2

Answer:

4

Step-by-step explanation:

∠4 ≅ ∠5 Alternate internal angles

Applying the description we have the table is completed as follows

Statement                                          Reasons

x is parallel to y                                    Given

w is a transversal                                  Given  

angle 4 is congruent to angle 1           Vertical opposite angle

angle 1 is congruent to angle 5            Corresponding angle

angle 4 is congruent to angle 5           Alternate internal angles

The prove ∠4 ≅ ∠5 is done by the Alternate angle theorem

∠4 ≅ ∠ 1 vertical opposite angles

∠ 1 ≅ ∠5  Corresponding angle

then we can say that

∠ 1 ≅ ∠4 ≅ ∠5

hence: ∠4 ≅ ∠5 Alternate internal angles

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Answer:

A ✔ vertical angles

B ✔ corresponding angles theorem

C ✔ transitive property

Step-by-step explanation: i hope this helps :)

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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Answer:

x = 19

Step-by-step explanation:

The 5x + 30 should also = 125, since they both have the same angle.

So you can make this equation:

125 = 5x + 30

125 - 30 = 5x

95/5 = x

x = 19

Step-by-step explanation:

125°=5x+30°

125-30= 95

95÷5=19

so x = 19

9514 1404 393

Answer:

  8 people

Step-by-step explanation:

If 20 of 140 people play tennis, then in a group of 504 people, we expect ...

  (20/140) × 504 = 72 . . . . tennis players

If 1 of 9 tennis players has a coach, then in a group of 72 tennis players, we expect ...

  (1/9) × 72 = 8 . . . . have a coach

We expect 8 of the 504 people have a tennis coach. We made this prediction by applying the given rates to the larger group.

The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

Answer:

Step-by-step explanation:

Given:

AB ≅ DC and AC ≅ DB

To Prove:

ΔABC ≅ ΔDCB

                  Statements                       Reasons

1). AB ≅ DC and AC ≅ DB         1). Given

2). BC ≅ CB                               2). Reflexive property

3). ΔABC ≅ ΔDCB                     3). SSS property of congruence

Answer:

5.015

Step-by-step explanation:

have a good day

Answer:

Step-by-step explanation:

The perimeter is all the side lengths added together so we get

Perimeter = 3 + 7.6 + 7 + 7 + 7 = 31.6

The area is the area of the triangle on top plus the area of the square on the bottom, so:

Area = \(\frac{1}{2} *3*7.6 + 7*7\) = 11.4 + 49 = 60.4

Hope that helps!

Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle:

Answer:

The table in blue

Step-by-step explanation:

\(5\div\dfrac{1}{3}\)

When dividing fractions, you use KCF(Keep, Change, Flip).

Keep 5, change division to multiplication, flip 1/3:

\(5\times\dfrac{3}{1}\)

\(=\dfrac{15}{1}\)

\(=\fbox{15}\)

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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Answer:

5,000

Step-by-step explanation:

x× 5 %=250

x=250×100÷5=5000

Answer:

4/3

Step-by-step explanation:

with slope remember rise over run, the vertical difference is 4 and the horizontal difference is 3. The line slopes down to the left so it is positive.

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.