Using the equation y = 2/3 x - 5, describe how to create a system of linear equations with an infinite number of solutions.

Answer:

It's the last choice.

Step-by-step explanation:

| n | ≤ 2  represents the distance between n and 0 that is less than or equal to 2.  The dots on the 2 and -2 are black because the equal sign is part of the inequality.

Note the vertical lines about the n mean the absolute value of n - the positive distance between  n and 0, which has a maximum of 2 either side of the 0.

The correct number line shows the solution for |n| ≤ 2 is shown in Option D.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

Inequality is,

⇒ | n | ≤ 2

Now, We can simplify as;

⇒ | n | ≤ 2

This gives,

⇒ n ≤ 2

⇒ - n ≤ 2

⇒ n ≥ - 2

Hence, The solution is belong in [- 2, 2].

Which shown in Option D.

So, The correct number line shows the solution for |n| ≤ 2 is shown in Option D.

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Answer:

The measure of angle LMW is

[tex]m\angle LMW=67\°[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc MW

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m\angle MLK=\frac{1}{2}[arc\ MW+arc\ WK][/tex]

substitute the given values

[tex]65\°=\frac{1}{2}[arc\ MW+68\°]\\ 130\°=[arc\ MW+68\°]\\ arc\ MW=130\°-68\°=62\°[/tex]

step 2

Find the measure of arc LK

we know that

[tex]arc\ LM+arc\ MW+arc\ WK+arc\ LK=360\°[/tex] -----> by complete circle

substitute the given values

[tex]164\°+62\°+68\°+arc\ LK=360\°\\ 294\°+arc\ LK=360\°\\ arc\ LK=360\°-294\°=66\°[/tex]

step 3

Find the measure of angle LMW

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m\angle LMW=\frac{1}{2}[arc\ LK+arc\ WK][/tex]

substitute the given values

[tex]m\angle LMW=\frac{1}{2}[66\°+68\°]=67\°[/tex]

Step-by-step explanation:

2y² = 13y

2y² − 13y = 0

y (2y − 13) = 0

y = 0, y = 13/2

It can be tempting to divide by y at the beginning, but if you do, you lose one of the solutions.  Instead, move everything to one side and factor.

The solutions to the equation 2y²=13y are y = 0 and y = 6.5. This is achieved by setting up the equation to zero, factoring it out and applying the zero product property.

To solve the provided equation, 2y²=13y, you'll need to set the equation to zero by moving all the terms to one side: 2y² - 13y = 0. This becomes a quadratic equation in the form ax² + bx + c = 0.

Factor the equation by taking out a common factor of 'y', yielding y(2y - 13) = 0. According to the zero product property, if a product is zero then at least one of the factors must be zero. This means that y = 0 or 2y - 13 = 0. Solving the second equation gives y = 6.5.

So, the solutions of the equation are y = 0 and y = 6.5.

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Answer:

31

Step-by-step explanation:

An entire amount is 100% of the amount.

50% is half of 100%, so 50% means the same as half.

Half of 62 is the same as 62/2 = 31

Answer: 31

Generally you would need to do a [tex]\frac{part}{whole}[/tex] proportion but there is a shorter way to do just the specific question. If you would like to know how to do the proportion version let me know

Since it asks for 50% of 62 it means that it's looking for half of 62, so all you have to do is divide 62 by 2 which is...

62/2 = 31

31 is 50% of 62

Hope this helped!

Answer:

14.2 is the diameter.

Step-by-step explanation:

The radius squared = 52.

What you have given is the general equation of the circle with a center at (2,-3) and a radius of sqrt(52)

You can break the 52 down.

sqrt(52) = sqrt(4 * 13) = 2 sqrt(13). Notice that 4 is a perfect square.

d = 2*radius.

d = 2(2 sqrt(13) )

d = 4 sqrt(13)

That is the diameter. You want it to the nearest 1/10

d = 14.222 but it is to the nearest 1/10

d = 14.2

Answer:

About 4 times the MAD

Step-by-step explanation:

If you go in from right to left moving you finger one dot at a time then the center of the Data Set A is 42.5 beacuse you add the two numbers together (this is because you have an even number of dots) and the center of Data Set B is 20. The MAD for set A is about 5.83 the MAD for set B is about 5.83 also. Now you have to figure out the means. The mean of data set A is 42.5, the mean for data set B is 20. The difference in the means is 22.5 and if you divide the difference of the means by the MAD you will get 3.859348199, or ≈4 times the MAD

The difference of the mean is About 4 times the MAD.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations.

Data Set A is 42.5 beacuse we add the two numbers together (this is because you have an even number of dots) and the center of Data Set B is 20.

The MAD for set A is about 5.83 the MAD for set B is about 5.83 also.

Now we have to figure out the means.

The mean of data set A is 42.5, the mean for data set B is 20.

The difference in the means is 22.5 and if we divide the difference of the means by the MAD will get

3.859348199, or ≈4 times the MAD

So, the difference in the means is about 4 times the MAD

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Answer: A=2

Explanation:

1: c=25

2: 2a=20

3: 1 a=20

(3,2) is the solution

Answer:(3,2) is the solution.

Step-by-step explanation:

Answer:

B. (0.61)

Step-by-step explanation:

Well, first I created venn diagram to help separate my work, then I subtracted .22 from each "probability sections" then I added them up to get .61

Work explains a lot.

Hope it helped.    :)

For this case we make a rule of three:

[tex]\frac {1} {3}[/tex] jar ---------------> [tex]\frac {3} {8}[/tex] pizza

x -----------------------------------------> 1 pizza

Where the variable "x" represents the amount of sauce jars to make a pizza.

[tex]x = \frac {1 * \frac {1} {3}} {\frac {3} {8}}\\x = \frac {8} {9}[/tex]

So, you need [tex]\frac {8} {9}[/tex] jars of sauce to make a pizza.

Answer:

[tex]\frac {8} {9}[/tex]

Answer:

Final answer is [tex]\frac{8}{9}[/tex] of a jar.

Step-by-step explanation:

Given that Archie used 1/3 of a jar of tomato sauce to make 3/8 of a pizza. Now we need to find about how many jars of tomato sauce will Archie need to make one whole pizza.

We can setup ratio of sauce and pizza to easily solve that problem.

Let amount of sauce needed to make 1 pizza = x

then ratio will be :

[tex]\frac{sauce}{pizza}=\frac{x}{1}=\frac{\frac{1}{3}}{\frac{3}{8}}[/tex]

[tex]\frac{x}{1}=\frac{\frac{1}{3}}{\frac{3}{8}}[/tex]

[tex]x=\frac{\frac{1}{3}}{\frac{3}{8}}[/tex]

[tex]x=\frac{1}{3}\cdot\frac{8}{3}[/tex]

[tex]x=\frac{8}{9}[/tex]

Hence final answer is [tex]\frac{8}{9}[/tex] of a jar.

Answer:

35,38,41,44,47,50,....

Step-by-step explanation:

n ∈N means that n is an element of Natural numbers

Natural numbers are whole non-negative numbers

n ≥ 1, means that n = 1, 2, 3, 4, 5, 6,........

tn = 32 + 3n

the first term t1 = 32 + 3(1)

                            32 + 3 = 35

the second term t2 = 32 + 3(2)

                                   32 + 6 = 38

the third term t3 = 32 + 3(3)

                              32 + 9 = 41

Answer:

32

Step-by-step explanation:

put the numbers in order from less to greatest

3,13,14,16,27,37,42,64,95,97

the middle numbers are 27 and 37

27+37 is 64

64 divided by 2 is 32

First put the numbers in order from least to greatest

3, 13, 14, 16, 27, 37, 42, 64, 95, 97

Median means middle so find the middle number by deleting the least and greatest number in each "layer"

3, 13, 14, 16, 27, 37, 42, 64, 95, 97

   13, 14, 16, 27, 37, 42, 64, 95

         14, 16, 27, 37, 42, 64

               16, 27, 37, 42

                     27, 37

You have two numbers left. To find the middle take the mean of these two numbers, by adding them together then dividing the sum by two

27 + 37 = 64

64 / 2 = 32

32 is the median!!!

Hope this helped!

Answer:

- 4.9t + 22t= 1.5 is the answer

Answer:

4/63

Step-by-step explanation:

The probability of first choosing a blue golf ball and then a pink golf ball, without replacement, from the pocket is 4/63.

The question asks for the probability of selecting a blue golf ball and then a pink golf ball from a pocket that contains 15 white, 8 pink, 3 yellow, and 10 blue golf balls, without replacement. To solve this, we need to find the probabilities of each event happening sequentially and then multiply them.

Firstly, the probability of choosing a blue ball initially is 10 out of the total number of balls (15 white + 8 pink + 3 yellow + 10 blue), which gives us 36.

Therefore, the probability is 10/36 or 5/18. Once a blue ball has been chosen, it is not replaced, so the total count of balls is reduced by one, making it 35, and the count of blue balls is now 9.

Secondly, with the blue ball removed, we now calculate the probability of choosing a pink ball. There would still be 8 pink balls, so the probability of now choosing a pink ball is 8 out of the remaining 35 balls. This gives us the probability of 8/35.

To find the overall probability of both events happening in sequence (first a blue ball, then a pink ball), we multiply the individual probabilities: (5/18) × (8/35) = 40/630, which can be simplified to 4/63.

Answer:

A) Obtuse.

Step-by-step explanation:

Angles of value between  90 and 180 degrees are called obtuse.

Answer:

obtuse

Step-by-step explanation:

because an obtuse angle is any angle from 91°-180°

Answer:

141.12 cm^2

Step-by-step explanation:

A = 1/2 (b1+b2)h where b1 = 10.2, b2 = 12.2 and h = 12.6

so

A = 1/2(10.2 + 12.2) * (12.6)

A = 1/2(22.4)(12.6)

A = 141.12 cm^2

Answer:

A≈141.12

A=a+b/2(h)

1. 8(2a+b)

2. 5(5g+3)

3. 8(3f+2)

The reverse of the distributive property involves factoring out the Greatest Common Factor (GCF) from the terms of the expression. For example, 16a + 8b becomes 8(2a + b), where 8 is the GCF.

The reverse of the distributive property involves factoring out the Greatest Common Factor (GCF) from each term in the expression to create an equivalent expression. Here's how it's done step-by-step:

Identify the GCF for all the terms in the expression.

Factor the GCF out of each term, which is essentially dividing each term by the GCF.

Write the factored expression in the form of the GCF multiplied by the remaining terms added together.

Applying this process:

For 16a + 8b, the GCF is 8, so the equivalent expression is 8(2a + b).

For 25g + 15, the GCF is 5, so the equivalent expression is 5(5g + 3).

For 24f + 16, the GCF is 8, so the equivalent expression is 8(3f + 2).

Answer:

No solution

Step-by-step explanation:

Anyone of the values of x satisfies the equation. We can see it even calculating with basic math. If x is 0, then -41 -2(0) + 61 = -24

-41 +61 =-24

20 = -24 is incorrect

If x is -6, then -41 -2(-6) =-24

-41+12=-24

-29 = -24 incorrect.

If x is 6, then -41-2(6) + 61 = -24

-41-12+61 = -24

-53 + 61 = -24

8 = -24 is incorrect.

So it has no solution.

Answer:

Second Option

[tex]y = 5[/tex]

Step-by-step explanation:

A constant function is one for which the range does not change regardless of the value of the domain.

[tex]f (x_1) = f (x_2) = f (x_3) = m[/tex]

Where m is a constant.

The constant functions are horizontal lines parallel to the axis of the x

Note that

[tex]y = x[/tex] is not a constant function because the value of y changes when x changes.

x = 1, y = 1

x = 2 y = 2

[tex]x = 5[/tex] is not a constant function because the range of the function is not constant. [tex]x = 5[/tex] is a vertical line

[tex]y = 5[/tex] is a constant function, since for any of the value of x, the value of y will always be 5

Answer:

y=5

Step-by-step explanation:

Answer:

D,1

Step-by-step explanation:

look at the wavelengths

Answer: For plato user the correct answer is C

Step-by-step explanation:

Just took the test and got it correct

Answer:

50 miles per hour

Step-by-step explanation:

As we know distance equals speed multiplied by time

118*2.25=265.5

Therefore the car can travel 265.5km in 2 hours 15 minutes with the speed of 118km/h

The van can travel approximately 265.5 kilometers in 2 hours and 15 minutes.

To find out how far the van can travel in 2 hours and 15 minutes, we need to use the formula:

Distance = Speed × Time

Given:

- Speed of the van = 118 km/h

- Time = 2 hours 15 minutes

First, let's convert the time to hours:

2 hours 15 minutes = 2 + 15/60 hours

= 2.25 hours

Now, we can use the formula to calculate the distance:

Distance = 118 km/h × 2.25 hours

Distance ≈ 265.5 km

Therefore, the van can travel approximately 265.5 kilometers in 2 hours 15 minutes.

The relationship is that (P) and (T) shows how many people come in that amount of time. Sorry I dont if that will work.

The relationship between the number of people (p) and time in hours (t) is represented by the linear equation p = 25t, where m = 25 is the slope, and b = 0 is the y-intercept.

To determine the relationship between the number of people (p) who bought tickets and the time in hours (t), we can use a linear equation of the form p = mt + b, where m is the slope and b is the y-intercept.

Looking at the table, we can observe that for every 1-hour increase in time, the number of people increases by 25. This indicates that the slope (m) is 25. To find the y-intercept (b), we can use the initial point (0, 0) from the table.

Substitute these values into the equation: 0 = m(0) + b.

Solving for b, we get b = 0.

Therefore, the equation describing the relationship is p = 25t, where p is the number of people and t is the time in hours.

Step-by-step solution:

1. Identify the slope (m): From the table, the number of people increases by 25 for each 1-hour increase in time, so m = 25.

2. Find the y-intercept (b): Use the initial point (0, 0) in the equation 0 = m(0) + b to find that b = 0.

3. Write the equation: The relationship is p = 25t, where p is the number of people and t is the time in hours.

Answer:

-6.42

Step-by-step explanation:

looked it up swwaa

Answer:

Step-by-step explanation:

5t=41

The equation to determine the cost, c, of each zoo ticket when five zoo tickets cost a total of $41 is 'c = $41 / 5'.

To find the cost of each zoo ticket, we need to divide the total cost of all the tickets by the number of people. Given that 5 people's zoo tickets cost a total of $41, we can set up the equation for this situation like this:

c = $41 / 5

Here, 'c' represents the cost of each zoo ticket in dollars. The equation suggests that when you divide the total cost ($41) by the total number of tickets (5), you get the cost of each individual ticket (c).

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Hello!! The answer is 11x/22z

Your Welcome

11x/22z is the answer because the reciprocal just means you flip the fraction so the top is on on the bottom and vise versa

Answer:

360 km

Step-by-step explanation:

we know that

The scale of the map is

1:1,500,000

That means

1 cm on a map ------> represent 1.500.000 cm in the actual

or

1 cm on a map ------> represent 15,000 m in the actual

or

1 cm on a map ------> represent 15 km in the actual

therefore

In this problem

24 cm on a map-------> represent 24*15=360 km actually

The actual length of the river Severn is 360 kilometers.

To determine the actual length of the river Severn, we need to apply the map scale to the map length. The scale given is 1:1,500,000, which means that 1 unit of measurement on the map corresponds to 1,500,000 of the same units in reality.

The map length of the river Severn is given as 24 cm. To find the actual length, we multiply the map length by the scale factor:

[tex]\[ \text{Actual length} = \text{Map length} \times \text{Scale factor} \] \[ \text{Actual length} = 24 \, \text{cm} \times 1,500,000 \][/tex]

Since the scale is in centimeters to kilometers, we need to convert the map length from centimeters to kilometers before multiplying by the scale factor. There are 100,000 centimeters in a kilometer, so:

[tex]\[ 24 \, \text{cm} = \frac{24}{100,000} \, \text{km} \] \[ 24 \, \text{cm} = 0.00024 \, \text{km} \][/tex]

Now, we multiply this by the scale factor:

[tex]\[ \text{Actual length} = 0.00024 \, \text{km} \times 1,500,000 \] \[ \text{Actual length} = 360 \, \text{km} \][/tex]

Therefore, the actual length of the river Severn is 360 kilometers.

Answer:

The statement is false

The volume of the square pyramid is [tex]V=216\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the square pyramid is equal to

[tex]V=\frac{1}{3}b^{2}h[/tex]

we have

[tex]b=9\ in[/tex]

[tex]h=8\ in[/tex]

substitute

[tex]V=\frac{1}{3}(9)^{2}(8)[/tex]

[tex]V=216\ in^{3}[/tex]

Answer:

option D is correct.

Step-by-step explanation:

The real number y=a is the root of the polynomial f(y) if and only if

f(a) =0

So, when we see a graph of the polynomial, the x-intercepts are the real roots of the graph f(y)

We can find x-intercept of graph, by looking at the graph and finding out points that touch the x-axis on the graph.

In the graph given the points -6 and 2 touch the x-axis of the graph, So these are the real roots of the graph.

So, option D is correct.

Answer:

0.589

Step-by-step explanation:

THis is a conditional probability question. Let's look at the formula first:

P (A | B) = P(A∩B)/P(B)

" | " means "given that".

So, it means, the "Probabilty A given that B is equal to Probability A intersection B divided by probability of B."

So we want to know P (Female | Undergraduate ). This in formula is:

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

Now,

P (Female ∩ Undergraduate) means what is common in both female and undergraduate? There are 43% female that are undergrads. Hence,

P (Female ∩ Undergraduate) = 0.43

Also,

P (Undergraduate) is how many undergrads are there? There are 73% undergrads, so that is P (undergraduate) = 0.73

plugging into the formula we get:

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

=0.43/0.73 = 0.589

this is the answer.