A square with a side length of 40 meters was created from a square with a side length of 2.5 meters using a scale factor. What is the scale factor?

100:1
72:1
36:1
16:1

Answer:

It depends how the question wants the answer but here are the different ways it can be written

y = \(\frac{3}{2}\)

y = \(1\frac{1}{2}\)

y = 1.5

Step-by-step explanation:

\(\frac{10}{2\frac{1}{2} } =\frac{6}{y} =\)

\(10y=6* 2 \frac{1}{2}\)

The 2 1/2 can be turned into 2.5

\(10y=6* 2.5\)

\(10y=15\)\(y=\frac{15}{10} \\y = \frac{3}{2} \\\)

Which can also be shown as

y= 1 \(\frac{1}{2}\)

or y = 1.5

I believe that they want the answer as a mix fraction which is 1  1/2

Hope this helps!

Please mark as brainiest :)

Answer:

y = 3/2 or 1 1/2

3/2 is the improper fraction

1 1/2 is the mixed number

either one shall work

Step-by-step explanation:

step 1: convert mixed fractions into an improper fraction

ex: 2 1/2 = 5/2   (10/5/2 = 6/y)

step 2: cross multiply (a/b = c/d then a * d = b * c)

ex: 10y = 5/2 * 6

step 3: simplify the equation (multiply 5/2 by 6)

ex: 10y = 15

step 4: divide both side by 10

ex: 10y/10 = 15/10   (y = 15/10)

step 6: simplify the equation if you are able to

ex: 15/10 = 3/2   (y = 3/2)

step 7: convert the improper fraction into a mixed number

ex: 3/2 = 1 1/2   (y = 1 1/2)

step 8: check your answer by plugging in why with 1 1/2

ex: 10/2 1/2 = 6/1 1/2

10/5/2 = 6/3/2

4 = 4 (if both sides of the equation are the same like 4 = 4 then your answer is true meaning y = 1 1/2) P.S may i have brain if this has given you more enlightenment on solving fractions with one variable

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

9514 1404 393

Answer:

  a = (s +t)/(m +r)

Step-by-step explanation:

Add t, then divide by the coefficient of 'a'.

  \(a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}\)

The total number of different entertainment centers Madelyn can make is 7 × 7 × 2 = 98. Answer: 98.

Madelyn is creating a media center.

There are 7 televisions and 7 sets of speakers to choose from. For the DVD player, Madelyn has 2 options.

We are supposed to determine how many different entertainment centers Madelyn can make.

Therefore, we need to use the multiplication principle of counting.

According to the multiplication principle of counting, if an event can occur in m ways and a second event can occur in n ways, then the two events can occur in m x n ways.

Let's use the multiplication principle of counting to solve this problem.

The number of ways Madelyn can choose a TV is 7.

The number of ways Madelyn can choose a set of speakers is 7.

The number of ways Madelyn can choose a DVD player is 2.

Therefore, the total number of different entertainment centers Madelyn can make is 7 × 7 × 2 = 98. Answer: 98.

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Answer:

11/8 or 1 3/8

Step-by-step explanation:

5+6=11

11 goes into 8 1 so you have

1  /8

then theres the remander 3 so you get

1 3/8

Answer:Arrangment 2

Step-by-step explanation:1/3 times 3 to both sides is 3/9

Answer:

they have different areas and different perimeters

Step-by-step explanation:

Answer:

After 5 months

Step-by-step explanation:

Step one:

given data

LA Fitness charges a registration fee of $75 plus $35.75 per month for members

let the number of months be x

and the total charges be y

total is

y= 75+35.75x----------1

Gold's Gym charges a registration fee of $164 plus $17.95 for members

let the number of months be x

and the total charges be y

total is

y= 164+17.95x----------2

Step two:

equate 1 and 2

75+35.75x= 164+17.95x

solve for x

35.75x-17.95x=164-75

17.8x=89

divide both sides by 17.8

x=89/17.8

x=5 months

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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The limit of the given function as x approaches infinity is 2.

Infinity is a concept used in mathematics to represent a quantity that is unbounded or without limits. It is often used to describe a value or set of values that increases or decreases indefinitely without ever reaching a final value.

To find the limit of the given function as x approaches infinity, we need to determine the behavior of the function as x becomes very large (positive or negative).

Let's examine the expression inside the limit as x approaches infinity:

StartFraction 4 - 3x + x² Over 2x² + 1 EndFraction

As x approaches infinity, the highest power term in the numerator and denominator dominates. In this case, the term x² dominates in the numerator and denominator. So we can simplify the expression by dividing both numerator and denominator by x²:

Start Fraction 4/x² - 3/x + 1 Over 2 + 1/x² End Fraction

As x approaches infinity, both the terms 3/x and 1/x² become very small and can be ignored. Therefore, the expression approaches:

Start Fraction 4/x² - 0 + 1 Over 2 + 0 End Fraction

which simplifies to:

Start Fraction 4 Over 2 End Fraction = 2

Therefore, the limit of the given function as x approaches infinity is 2.

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The present values for the given future values, interest rates, and number of periods are as follows:

To calculate the present values, we can use the present value formula, TVM keys on a calculator, or the TVM function in a spreadsheet.

The present value represents the current value of a future cash flow, taking into account the interest rate and time. The present value formula, PV = FV × (1 + r)^(-n), can be used to calculate the present value manually. However, for convenience, financial calculators or spreadsheet functions like TVM can automate this calculation.

Using the TVM keys on a calculator or the TVM function in a spreadsheet, you can input the future value, interest rate, and number of periods to obtain the present value directly. The calculator or spreadsheet will perform the necessary calculations based on the provided inputs. The resulting present values will reflect the discounted values of the future cash flows, adjusted for the time value of money and the specified interest rates.

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Answer:

3x+5x=3-1

8x=2

X=8/2

X=4

Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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Answer: equals to 5

Step-by-step explanation:

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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Rounding up, the answer is B. over 1,300,000 thousand gallons.

The term "cost" generally refers to the amount of resources (such as money, time, or effort) required to produce or obtain something. In business and economics, cost can be further divided into various types such as fixed costs (which do not vary with the level of production or sales), variable costs (which increase or decrease with the level of production or sales), direct costs (which are directly related to the production of a particular product or service), indirect costs (which are not directly related to the production of a particular product or service), and opportunity costs (which refer to the value of the next best alternative foregone when a particular choice is made). Understanding the different types of costs is important for making informed decisions about pricing, production, and investment strategies.

Let x be the amount of water, in thousand gallons, used in one year. Then the cost for using the pay-per-gallon package is:

0.77 * x

The cost for using the fixed amount package is $1,001,000, regardless of the amount of water used.

Therefore, the fixed amount package is less expensive than the pay-per-gallon package if:

1,001,000 < 0.77 * x

Solving for x, we get:

x > 1,301,299.48

So an industrial user needs to use over 1,301,299.48 thousand gallons of water in one year for the fixed amount package to be the less expensive option.

Rounding up, the answer is B. over 1,300,000 thousand gallons.

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Answer:

-2

Step-by-step explanation:

the rate of change or slope (M) is -2

Hope this helps:P

We have to make sure the denominators are equal.

10 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 2, and get 4, then we multiply 5 by 2 and get 10

Now the equation is 4/10 + 6/10

Since our denominators match, we can add the numerators.

4 + 6 = 10

That gives us the sum, which is 10/10 aka 1 whole

your welcome :) (btw can u please give brainly?)

Answer:

2/5 + 6/10 = 1

Step-by-step explanation:

first let’s change 2/5 so it has the same denominator as 6/10.

2/5 * 2/2 = 4/10

now add

4/10 + 6/10 = 1

Answer:

a) 1

Step-by-step explanation:

added in the picture

Answer:

The length of other side = 4 cm

Step-by-step explanation:

Given :

longest side = H = 8 cm

one side = P = 4√3

The other side will be H² = P² + B²

=> 8² = (4√3)² + B ²

=> 64 = 48 + B²

=> 64 - 48 = B²

=> 16 = B²

=> √16 = B

=> B = 4

Let the lengths of sides be a, b and c (hypotenuse).

Hypotenuse is the longest side , So c = 8.

\(\sf{Let \: b = 4\sqrt{3}}\)

From the pythagoras theorem :

\(a^2 + b^2= c^2\)

\(a^2 + (4\sqrt{3})^2= 8^2\)

\(a^2 + 16 (3) = 64\)

\(a^2 +48=64\)

\(a^2 = 16\)

\(a = 16 / 2\)

\(a = 4\)

The third side is 4 cm.

Those ordered pairs that are solutions to the inequality is

(6, 1), (0, −3), (1, −4), (2, −2)

we have  2y−x≤−6

we know that

if a ordered pair is a solution of the inequality then, the ordered pair must satisfy the inequality

we will proceed to verify each case to determine the solution of the problem

case A)(-3, 0)

Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality

so

2(0) - (-3) ≤ 6

+3 ≤ 6  -------> Is False

the ordered pair   is  a solution of the inequality

case B) (6,1)

so

Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality

2(1) - 6 ≤ 6

-4 ≤ 6 -------> Is True

therefore

the ordered pair   is  a solution of the inequality

case C)  (0, -3)

Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality

so

2(-3) ≤ 6

-6 ≤ 6-------> Is True

therefore

the ordered pair(0, -3)  is a solution of the inequality.

case D) (1, -4)

Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality

so

2(-4) - 1 ≤ 6

-9 ≤ 6-------> Is  true

therefore

the ordered pair   is  a solution of the inequality

case E) (2, -2)

Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality

so

2(-2) - 2 ≤ 6

-6 ≤ 6 -------> Is True

therefore

the ordered pair(2, -2)   is a solution of the inequality

Therefore, those ordered pairs that are solutions to the inequality is

(6, 1), (0, −3), (1, −4), (2, −2)

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The expression improper fractions to mixed numbers will be 1 ¹/₄, 2 ¹/₃, and 1 ²/₃.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expressions are given below.

(5 x 1/4), (3 x 7/9), and (2 x 5/6)

Then simplify each expression, then we have

⇒ 5 x 1/4

⇒ 1/4 + 1/4 + 1/4 + 1/4 + 1/4

⇒ 5 / 4

⇒ 1 ¹/₄

⇒ 3 x 7/9

⇒ 7/9 + 7/9 + 7/9

⇒ 7/3

⇒ 2 ¹/₃

⇒ 2 x 5/6

⇒ 5/6 + 5/6

⇒ 5/3

⇒ 1 ²/₃

The expression improper fractions to mixed numbers will be 1 ¹/₄, 2 ¹/₃, and 1 ²/₃.

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The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

x = 300

Step-by-step explanation:

25% of x = 75

(25x/100) = 75

25x = 7500

x = (7500/25)

x = 300

Thenks and mark me brainliest :))

Answer:

x = 300

Step-by-step explanation:

Let's solve your equation step-by-step.

25100x=75

Step 1: Simplify both sides of the equation.

14x=75

Step 2: Multiply both sides by 4.

4*(14x)=(4)*(75)

Answer:

2,444,444,442

Step-by-step explanation:

Answer:

B and C I think

Step-by-step explanation:

Srry I had to rush cuz I'm getting into zoom rn

Answer:

10yd x 14 yd x 3yd = 420yd ^3

Step-by-step explanation:

When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.

The length of the given line AB is 6 units and the polygon ABCDEF has been created.

A graph is a mathematical structure made up of a collection of points called VERTICES and a set of lines connecting some pair of VERTICES that may or may not be empty.

There is a chance that the edges will be directed, or orientated.

If the lines are directed or undirected, respectively, they are referred to as ARCS or EDGES.

Make a sequence of bars on graph paper as an example of a graph.

So, in the given situation the polygon ABCDEF has been created:

(Refer to the graph attached below)

Now, the length of the side AB:

Count the units as follows which comes to 6 units.

Therefore, the length of the given line AB is 6 units and the polygon ABCDEF has been created.

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Correct question:

Help Here is your graph of the points on the previous screen.

Connect the points in order to create polygon `ABCDEF`.

1.2 Enter the length of the segment between A and B.