One-fourth of the people in the senior center dining room are men. If there are 6 men, what is the totalnumber of people in the dining room? Use p for your variable

Answer:

$7.80

Step-by-step explanation:

Find the unit price by dividing 3.25 by 5.

3.25 ÷ 5 = 0.65

Now that you have the unit price, multiply it by 12 to find the total price of the 12 markers.

0.65 × 12 = 7.80

Thus, 12 of the same markers that Ahmed bought will cost $7.80.

The cost of 12 markers is given by the equation A = $ 7.80

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of markers be n = 5

The cost of 5 markers = $ 3.25

So , the cost of 1 marker = cost of 5 markers / 5

On simplifying the equation , we get

The cost of 1 marker = 3.25 / 5

The cost of 1 marker = $ 0.65

Now , the cost of 12 markers = 12 x cost of 1 marker

Substituting the values in the equation , we get

The cost of 12 markers A = 12 x $ 0.65

The cost of 12 markers A = $ 7.80

Hence , the equation is A = $ 7.80 , where A is the total cost of markers

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Answer:

6g^2−11g−31

Step-by-step explanation:

If this helps may i plz have brainliest :)

1) We can complete the square, by picking the coefficient b and dividing by 2. In this case:

2) So, now we can proceed with that reminding ourselves that any number added to the left side must be added to the right side so that the equation remains true.

Let's pick that 5/2 and square it:

So now, we can write out:

Thus, the number to be added is 25/4

Answer:

C

Step-by-step explanation:

x = y + 2

y = -2(y+2)²

y = -2 (y² + 4 + 4y)

y = -2y² - 8y - 8

x = y + 2

Answer:

ano po yan math po ba yan?

Answer:

See below.

Step-by-step explanation:

The question tells us that 2.54 cm is equivalent to 1 inch. The next part wants to know what 5.08 cm is in inches. We can just divide 5.08 by 2.54 to figure that out.

5.08/2.54 = 2

This means that 5.08 cm is 2 inches.

The next one wants to know how many centimeters 10 inches is. We can 2.54 and multiply it by 10.

2.54 · 10 = 25.4

This means that 25.4 cm is 10 inches.

Part A

P(white) = (3 white)/(10 total) = 3/10

==============================================

Part B

10 total, 3 are white

10-3 = 7 are not white so they are either black or red

P(black or red) = 7/10

==============================================

Part C

Earlier in part B we calculated 7 beads that weren't white

This means P(not white) = P(black or red) = 7/10

They are the same probability just phrased slightly different ways.

==============================================

Part D

There aren't any blue beads (unless there's a typo somewhere). So the probability of picking not blue is 100% or we represent this as the value 1.

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Answer:

If they can be the same fraction, like 2/3 + 2/3, then yes. If they can have different denominators, like 4/5 + 1/2, then yes. Any other way is no.

Step-by-step explanation:

The same fraction (2/3 + 2/3) will equal 4/3, which is more than 1.

Different denominators (4/5 + 1/2) will equal 13/10, which is more than 1.

Nd if I'm wrong, my bad. I really tried.

Answer:

associative property of addition !!

Step-by-step explanation:

this is because you are ASSOCIATING the two numbers together

think of it like this

in a trio friendship there could be two friends that are closer

the 8 and the 10 in the second half of the equation are closer

BUT in the first half the 3 and the 8 are closer too

hope that made sense lol

Answer:

observational study

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

Answer:

About 0,3? Could go higher but the middle answer ( highest probability) is correct to me.

Step-by-step explanation:

Answer:

The table represents a linear function.

The graph of linear function y = 3x is attached below.

Step-by-step explanation:

Given the table

Number of Hours           1             3                 5

Number of Tents             3            9                15

Given that the slope is 3.

Finding the slope between (1, 3) and (3, 9)

Slope = (y₂-y₁) / (x₂-x₁)

          = [9-3] / [3-1]

           = 6 / 2

           = 3

Finding the slope between (3, 9) and (5, 15)

Slope = (y₂-y₁) / (x₂-x₁)

          = [15-9] / [5-3]

           = 6 / 2

           = 3

As the value of slope remains constant i.e. slope = m = 3.

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (1, 3)

\(y - 3 = 3 (x-1)\)

\(y-3 = 3x-3\)

\(y = 3x-3+3\)

\(y = 3x\)

Comparing with the slope-intercept form of a linear function of line

y = mx+b     where m is the slope and b is the y-intercept

slope = 3 and y-intercept b = 0

Therefore, the table represents a linear function.

The graph of linear function y = 3x is attached below.

Answer:

It's 3 and 177.

Step-by-step explanation:

Let the angle be x°. Then its supplementary is 59x°.

We know,

x+ 59x=180

or, x = 3°

and another angle, 59x°= 177°

Answer:

(A) There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B) Saturday has the highest percentage of traffic accidents.

Step-by-step explanation:

(A)

The Chi-square goodness of fit test would be used to determine if the proportion of traffic accidents is the same for each day of the week.

The hypothesis for the test can be defined as follows:

H₀: The proportion of traffic accidents is the same for each day of the week.

Hₐ: The proportion of traffic accidents is not same for each day of the week.

Assume that the significance level of the test is, α = 0.05.

The Chi-square test statistic is given by:

\(\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}\)

Compute the values in Excel.

The expected frequency for all the days is 60.

The Chi-square test statistic value is, 14.333.

Compute the p-value using the Excel function "=CHISQ.DIST.RT(14.33,6)".

p-value = 0.0262

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value is less than 0.05.

The null hypothesis will be rejected.

Conclusion:

There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B)

Compute the percentage of traffic accidents occurring on each day of the week as follows:

\(\text{Sunday}=\frac{66}{420}\times 100\approx 16\%\\\\\text{Monday}=\frac{50}{420}\times 100\approx 12\%\\\\\text{Tuesday}=\frac{53}{420}\times 100\approx 13\%\\\\\text{Wednesday}=\frac{47}{420}\times 100\approx 11\%\\\\\text{Thursday}=\frac{55}{420}\times 100\approx 13\%\\\\\text{Friday}=\frac{69}{420}\times 100\approx 16\%\\\\\text{Saturday}=\frac{80}{420}\times 100\approx 19\%\)

Saturday has the highest percentage of traffic accidents.

Step-by-step explanation:

radius=6cm.

π=22 over 7

circumference=2πr

circumference=2×22 over7×6

circumference=51.04cm

Answer:

m=0.46

Step-by-step explanation:

Answer:

m=42.78÷93

m=0.46

Step-by-step explanation:

please mark me as brainlest

Answer:

1) When r = 2, M = 20.

2) When M  = 540, r = 6.

Step-by-step explanation:

M is a directly proportional to r cubed

This means that the equation for M has the following format:

\(M = ar^3\)

In which a is a multiplier.

When r=4 M=160.

We use this to find a. So

\(M = ar^3\)

\(160 = a(4^3)\)

\(64a = 160\)

\(a = \frac{160}{64}\)

\(a = 2.5\)

So

\(M = 2.5r^3\)

1) work out the value of M when r=2

\(M = 2.5*2^3 = 2.5*8 = 20\)

When r = 2, M = 20.

2) work out the value of r when M=540

\(M = 2.5r^3\)

\(540 = 2.5r^3\)

\(r^3 = \frac{540}{2.5}\)

\(r^3 = 216\)

\(r = \sqrt[3]{216}\)

\(r = 6\)

When M  = 540, r = 6.

The solution of m+n+p = 462+40+3 = 505.

The set is divided into several parts: the large 3x4x5 parallelepiped, 6 external parallelepipeds that share a face with the large parallelepiped and have a height of 1, 1/8 spheres (one at each vertex of the large parallelepiped), and 1/4 cylinders connecting each adjacent pair of spheres.

The parallelepiped has a volume of $3 times 4 times 5 = 60 cubic units.

The external parallelepipeds have a volume of $2(3 times 4 times 1)+2(3 times 5 times 1)+2(4 times 5 times 1)=94$.

Each of the 1/8 spheres has a radius of 1. Their combined volume is \(\frac{4}{3} \pi\).

There are 12 of the 1/4 cylinders, allowing for the formation of 3 complete cylinders. Their volumes are 3\(\pi\), 4\(\pi\), and 5\(\pi\), totaling 12\(\pi\).

The total volume of these parts is 60+94+ \(\frac{4}{3} \pi\) +12\(\pi\) = \(\frac{462 + 40\pi }{3}\). Thus, the solution is m+n+p = 462+40+3 = 505.

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Firm shown in the graph will produce q0, but all the firms in the market will produce a total of Q0.

A perfect market, sometimes known as an atomistic market, is described in economics by numerous idealizing requirements, together known as perfect competition, or atomistic competition. A competitive market is one in which no one customer or producer has sway over the market. Its reaction to supply and demand varies with the supply curve, which represents the quantity of a commodity. Perfect competition, monopolistic competition, oligopoly, and monopoly are the four types of economic market systems.

Here,

The business on the graph will create q0, but the market as a whole will yield Q0.

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Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

The solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.

How to solve quadratic equation?

To solve the equation x²+8x-38=0, we can use the quadratic formula:

x = (-b ± sqrt(b²-4ac)) / 2a

Here, a=1, b=8, and c=-38. Substituting these values into the formula gives:

x = (-8 ± sqrt(8²-4(1)(-38))) / 2(1)

x = (-8 ± sqrt(324)) / 2

x = (-8 ± 18) / 2

So x is either -13 or 5.

To find the values of x in the form of X = a + b√c and X = a - b√c, we can use the following steps:

For X=a+b√c:

Let's assume that x = a + b√c, where a, b, and c are constants to be determined.

Substituting this into the original equation x²+8x-38=0, we get:

(a + b√c)² + 8(a + b√c) - 38 = 0

Expanding the square and simplifying, we get:

(a² + 2ab√c + b²c) + 8a + 8b√c - 38 = 0

Separating the real and imaginary parts, we get:

(a² + b²c + 8a - 38) + (2ab√c + 8b)√c = 0

Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.

First, setting the real part equal to zero gives:

a² + b²c + 8a - 38 = 0

This is a quadratic equation in a, so we can use the quadratic formula:

a = (-8 ± sqrt(8²-4(bc-38))) / 2

Simplifying this gives:

a = -4 ± sqrt(4+b(b-10))

Now, setting the imaginary part equal to zero gives:

2ab + 8b = 0

Solving for b, we get:

b = 0 or b = -4

If b = 0, then a² + b²c + 8a - 38 = a² + 8a - 38 = 0, which has roots a = -5 and a = 3. Therefore, the solution in this case is x = -5 or x = 3, which cannot be expressed in the form of X = a + b√c.

If b = -4, then a² + b²c + 8a - 38 = a² + 16c + 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:

a = -4 ± sqrt(102-4c)/2

Therefore, the solution in this case is x = (-4 + sqrt(102-4c))/2 - 4√c, which can be expressed in the form of X = a + b√c.

For X=a-b√c:

Using the same logic, we can assume that x = a - b√c, where a, b, and c are constants to be determined.

Substituting this into the original equation x²+8x-38=0, we get:

(a - b√c)² + 8(a - b√c) - 38 = 0

Expanding the square and simplifying, we get:

(a² + b²c - 8a - 38) + (-2ab√c - 8b)√c = 0

Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.

Setting the real part equal to zero gives:

a² + b²c - 8a - 38 = 0

This is a quadratic equation in a, so we can use the quadratic formula:

a = (8 ± sqrt(8²+4(bc+38))) / 2

Simplifying this gives:

a = 4 ± sqrt(4+b(b+10))

Setting the imaginary part equal to zero gives:

-2ab - 8b = 0

Solving for b, we get:

b = 0 or b = -4

If b = 0, then a² + b²c - 8a - 38 = a² - 8a - 38 = 0, which has roots a = -3 and a = 11. Therefore, the solution in this case is x = -3 or x = 11, which cannot be expressed in the form of X = a - b√c.

If b = -4, then a² + b²c - 8a - 38 = a² + 16c - 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:

a = 4 ± sqrt(102+4c)/2

Therefore, the solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.

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Using the given information, the total distance travelled by the golf ball is 288 m

From the question, we are to calculate the total distance travelled by the golf ball

The distance travelled by the golf ball can be calculated by using the formula,

Distance = Speed × Time

From the given information,

The golf ball rolls at a speed of 8 m/s for 12 seconds

Thus,

The distance travelled at this time is

Distance = 8 m/s × 12 s

Distance = 96 m

Also,

Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s

The distance travelled at this time is

Distance = 12 m/s × 16 s

Distance = 192 m

The total distance travelled by the golf ball is 96 m + 192 m

=

Hence, the total distance travelled by the golf ball is 288 m

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The minimum number of friends for which Jump it Up is 7

A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).

Sky high pricing:

$50 for <=10 people and $5 per person after that

Jump it Up pricing:

Set up charges = $70

Per person charges = $2

Let p be the number of people

Formulating the equation we get:

50 + 5p = 70 + 2p

3p = 20

p = 6.66

or p =7

So, Jump it up will be less expensive for 7 friends

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the domain of the given function is

the range of the function is,