Choose the symbol that correctly compares the fractions below.

Answer:

3

Step-by-step explanation:

27-6=7q

21/7=q

3=q

hope it helps

27 = 7q + 6

=> 27 - 6 = 7q

=> 21 = 7q

=> 21/7 = q

=> 3 = q

So, q = 3.

Answer:

3/20, 1/5, 1/4, 1/2

Step-by-step explanation:

Hope this helps!

Answer:

3/20, 1/5, 1/4, 1/2

Step-by-step explanation:

Well, first make all the denominators the same. The highest is 20, so let's go with that. So making all of the fractions have the same denominator, you have

3/20, 4/20 (1/5), 10/20 (1/2), and 5/20 (1/4).

Order them...

3/20, 4/20, 5/20, and 10/20.

Therefore, your answer is:

3/20, 1/5, 1/4, 1/2.

Answer:

x = -1 or x = 3

Answer:

the 1st one i think cause its 500 all together

Answer:

a + c + s = 180

3c + 5a + 2s = 500

a = 10c

Step-by-step explanation:

trust

To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

Each element of X is given precisely one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.

We have given function as ,

f(x) = 1/√(x-4)

We have to find f(x) - f(5)/x-5

f(x) = f(5)/x-5 = 1/√(5-4)/(x-5)

= 1/√(5-4)/(x-5)

= (x-5)/√(5-4)

= (x-5)

Therefore, The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

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X varies directly as y , that x = 9 when y = 3,the value of x when y = 12 by  the constant of Variation , value of x is 36.

X  varies directly as y, it means that there is a constant ratio between x and y. We can express this relationship using the formula:

x = ky

where k is the constant of variation.

To find the value of k, we can use the given information that x = 9 when y = 3. Substituting these values into the formula, we have:

9 = k * 3

Solving for k, we divide both sides of the equation by 3:

k = 9/3

k = 3

Now that we have the value of k, we can find x when y = 12 by substituting it into the formula:

x = 3 * 12

x = 36

Therefore, when y = 12, the corresponding value of x is 36.

if x varies directly as y and we are given that x = 9 when y = 3, we can find the value of x when y = 12 by determining the constant of variation (k) and using the formula x = ky. In this case, the constant of variation is 3, so when y = 12, x equals 36.

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The probability of landing on Seoul or Paris after spinning spinner is 1/2 .

Probability is the measure of likeliness of an event to happen.

It is given that

Total Outcomes = 4  ( Dubai, Seoul, Switzerland, and Paris)

the probability of landing on Seoul or Paris after spinning spinner = ?

The probability of Landing on Seoul P(S)  is 1 /4

The probability of Landing on Paris P(P)  is 1 /4

The probability of landing on Seoul or Paris after spinning spinner is

P( S∪P) = P(S) + P(P)

= (1/4) + (1/4)

= 1/2

Therefore , The probability of landing on Seoul or Paris after spinning spinner is 1/2 .

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Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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The percentage change of the population is P = 1.7 %

Given data ,

To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.

Population increase = 7,375 - 7,250 = 125

Percent increase = (Population increase / Initial population) * 100

Percent increase = (125 / 7,250) * 100 ≈ 1.7241

Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.

Hence , the percentage change is P = 1.7 %

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Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

The required values are in the completed table which has been attached below.

Distance is defined as the product of speed and time.

Since the Cheetah's speed is constant, the speed must be consistent throughout the table.

To calculate the unknown time and distance, use the following formula:

Speed = Distance/Time = c

When distance = 120m, time = 4 secs

Speed = 120/4 = c

Speed = 30m/s = c

We are to get the distance when the time is 25 secs

Speed = Distance/Time

30 = d₂/25

d₂ = 30 × 25

d₂ = 750 m

To get the time in the third column

Time = Distance/Speed

t₃ = 270/30

t₃ = 9seconds

Therefore, the required values are in the completed table which has been attached below.

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The amount that Linda invested in Fund B if both funds returned a profit is $ 2, 000.

We know that the total amount Linda invested is $5000 + x. We also know that the return on Fund A is 10% and the return on Fund B is 3%, and that the total return on both funds together is 8%.

To find the amount Linda invested in Fund B, we can set up the following equation:

$500 + 0.03x = $400 + 0.08x

$500 = $400 + 0.05x

$100 = 0.05x

x = $ 2, 000

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Answer:

Explanation:

From the given graph, we can state the coordinates of the vertices of the quadrilateral as;

Note that if a point P(x, y) is reflected across the x-axis, the image will be P'(x, -y)

Applying the above to the given coordinates of the vertices, the coordinates of the image of quadrilateral will be;

We can go ahead and use the above coordinates to draw the reflection of the given quadrilateral as seen below;

Answer:

Is it everything or which ones particularly?

Answer:

0.48

Step-by-step explanation:

the eight is in the hundredths place, which is how you represent a percentage. (correct me if i'm wrong)

Answer:

42x-42

Step-by-step explanation:

(7x)(6x)+(6)(-7)=42x°-42°

Answer:

Step-by-step explanation:

We can expand and simplify the equation as follows:

23(x+3) = 23(x-6)

23x + 69 = 23x - 138

69 = -138

The last equation is clearly false, which means there is no value of x that can satisfy the original equation.

This is an example of a contradiction, where the equation leads to an impossible statement. Therefore, the equation has no solution.

\(\\ \sf\longmapsto \dfrac{5x+3}{7x+3}=\dfrac{3}{4}\)

\(\\ \sf\longmapsto 4(5x+3)=3(7x+3)\)

\(\\ \sf\longmapsto 20x+12=21x+9\)

\(\\ \sf\longmapsto 12-9=21x-20x\)

\(\\ \sf\longmapsto x=3\)

\(\large\rm \longrightarrow \: {\purple{ \frac{(5x + 3)}{(7x + 3)} \: = \: \frac{3}{4} }} \\ \)

⇛ Now , Cross Multiplying

\(\large\rm \longrightarrow \: {\blue{ 4 \: (5x + 3) \: = \: 3 \: (7x + 3)}}\)

\(\large\rm \longrightarrow \: {\red{ 20x \: + \: 3 \: = \: 21 \: + \: 3}}\)

\(\large\rm \longrightarrow \: {\orange{ 12 \: - \: 9 \: = \: 21x \: - \: 20x }}\)

\(\large\rm \longrightarrow \:{\green{ 3 \: = \: x}}\)

⇛ Hence , the value of x is 3

Answer:

2^4   * 9^4

Step-by-step explanation:

(2*9)^4

We can take the power to each term inside the parentheses

2^4   * 9^4

Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.

We have two numbers a and b with different sign.

Let's say that a is negative and b positive.

We know that the absolute value of a is divisible by the absolute value of b.

|a|/|b|

Then we have that |a| ≥ |b|

An example of two numbers that meet these conditions are:

a = -10

b = 2

Where:

|-10|/|2|  = 10/2 = 5

Now, the product between the integers will give a large negative number, in this case:

-10*2 = 20

and the quotient will give a smaller, in absolute value, negative number:

-10/2 = -5

Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).

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Step-by-step explanation:

so first you have 8 and 6 and a triangle the third side should be a equal number it should me 14 combined but I dont know if im wrong but the other side should me 7×2 which is 14

Answer:

Let the number be x

The statement is written as

\( \frac{3}{7}x = \frac{29}{14} \)

Multiply through by 14

That's

\( 14 \times \frac{3}{7} x = \frac{29}{14} \times 14\)

We get

2 × 3x = 29

6x = 29

Divide both sides by 6

That's

\( \frac{6x}{6} = \frac{29}{6} \)

\(x \: = \frac{29}{6} \: \: or \\ 4 \frac{5}{6} \)

Hope this helps you

Answer: So, the simple probability of reaching in and extracting a yellow marble from the bag is 0.1 or 10%.

Step-by-step explanation: To calculate the simple probability of reaching in and extracting a yellow marble from the bag, we need to divide the number of yellow marbles by the total number of marbles in the bag.

The bag contains a total of 10 marbles, and there is only 1 yellow marble. Therefore, the probability of extracting a yellow marble can be calculated as:

Probability = Number of Yellow Marbles / Total Number of Marbles

Probability = 1 / 10

Simplifying this fraction gives us:

Probability = 0.1 or 10%

Hope this helps!

Answer:

195 miles

Step-by-step explanation:

Answer:

195 miles.

Step-by-step explanation:

In 1 hour Bob drove = 65 miles

In 3 hours, Bob drove = 3 * 65 = 195 miles.

Hope it will help :)

Answer:

0.05 decimal

1/20 fraction

Step-by-step explanation:

-1/2x-3=-9-1/5x

Add 1/2 to -1/5 and add 9 to -3

6=3/10

Put 3/10 to decimal

.3

6=0.3

.3/6

0.05

Answer:

10.89 percent chance

Step-by-step explanation:

if there are 3 choices that means he has a 33 percent chance to choose any ride

Answer:

1/3

Step-by-step explanation:

The logistic model for the population P is P = 75x = 400.

The number of deer population after 10 years is 1150.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Deer:

Population capacity = 2500

Initial population = 400

Population after 4 years = 700

Now,

We can make two ordered pairs:

(0, 400) and (4, 700)

Now,

We can write an equation as,

P = mx + c

m = (700 - 400) / (4 - 0) = 300/4 = 75

And,

(0, 400) = (x, y)

400 = 75 x 0 + c

c = 400

So,

P = 75x + 400

This is the equation for the number of deers after x years.

Now,

The number of deers after 10 years.

x = 10

P = 75 x 10 + 400

P = 750 + 400

P = 1150

Thus,

The number of deer after 10 years is 1150.

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We know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.

It could be referred to as "the middle" value for a data set.

A data set's median value is the point where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it.

Arrange in ascending order:

229 234 248 255 263

When, odd terms are there then the middle term is the median:

Median: 248

New Median:

229 234 248 255 263 597

When there are even terms we will add the middle two terms and divide it by 2 as follows:

248+255/2

Median: 251.5

Median change: 251.5 - 248 = 3.5

Therefore, we know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.

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