At a meeting for math enthusiasts, two entrance fees are charged. Anyone who knows the code word “algemath” only pays 2 euros. Those who are unlucky and do not know the code word pay three euros more. You know that 7338 people were present and that the cashier received 17487 euros. How many people knew the password?

Answers

Answer 1

Number of People who knows the Code are 6401

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, Number of People who kows the Code be x

Number of Peoplee who do not know the Code be y

According to the Question:

x + y = 7338 ----------(i)

2x + 5y = 17487 ----------(ii)

Multiplying Equation (i) by 2

2x + 2y = 14676 ---------(iii)

Substracting Equation (iii) from Equation (ii)

3y = 2811

y = 937

This means x = 6401

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Related Questions

cos 90 - sin 45
Pleeeeeeeeease

Answers

Answer:

-1.29897714066

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cos90° - sin45°

= 0 - [tex]\frac{\sqrt{2} }{2}[/tex] ( exact value of sin45° )

= - [tex]\frac{\sqrt{2} }{2}[/tex]

≈ - 0.707 ( to 3 dec. places )

Does anyone know the answer to this?

Answers

c : 5, -4/3
hope it helps

B
Manuel is leaving Boston to go on a hike at Mt.
Monadnock, in New Hampshire. He mapped out a
route with the map scale of 1 in. = 25 mi and found the
total distance on the map to be about 3.2 inches. What
is the actual distance Manuel will travel?
miles
Bu
1 in. = 25 mi

Answers

Because the rate is 25 miles every one inch 1 in / 25 mi is equal to 3.2 in / x miles. Cross multiply the fractions to get x = 80 mi.

Neal's room has sides 10 1/4 ft and 12 5/6 ft. What is the perimeter?

Answers

Answer:

66 1/6ft

Step-by-step explanation:

I have calculated by saying perimeter =2(length+width). I think that's the answer hope it helps.

Answer: 46 1/4

Step-by-step explanation:

Perimeter = (L+W) x 2

So basically ... (10 1/4 + 12 5/6) x 2

Which would be ...  23 1/12 x 2

Which gives you the answer of 46 and 1/4

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=78°, and GE = 33 feet. Find the length of FG to the nearest tenth of a foot.

Answers

Answer:

I just did this on Delta Math lol:

Answer: 155.3 ft

Step-by-step explanation:

Helppppp plsssssssssssssssssssssss thanks
Is it



A
B
C
D

Answers

Answer:

It is (C) (6,5)

Step-by-step explanation:

Answer:

the answer is c :D

PLEASE HELP 30 cm
30 cm
76 cm
Casa wames to put a layer of sand at the bottom of the tank. The sand layer is to be 3 cm deep. If the density of sand is 2.65 9 what mass of sand does Carla need to purchase? Round to the nearest gram.
cm
6810
18. 136
25.11

cm
6810
18. 136
25.11

Answers

The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g

What is the mass required?

Formula for density is;

Density = mass/volume

From the box we are given, it's volume is;

Volume = 30 * 30 * 76

Volume = 68400 cm³

Now, from conversion;

1 cm³ = 1g. Thus;

68400 cm³ = 68400 g

Volume = Mass/density

Volume = 68400/2.65

Volume = 25811 g

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There are 20 question in a test and you get 75% correct how many questions do you get right

Answers

Answer:

Answer. so the answer is 15. you got 15 questions right.

Step-by-step explanation:

I think it is 15:) because 5 is 25%, 10 is 50%, 15 is 75% and 20 out of 20 is 100%

i need help with this!

Answers

Answer:

1.4

Step-by-step explanation:


It’s 1.4 try sketching it out next time

HELP FAST ILL GIVE WHATVERR YOU WANT
: Selina weighs a metal sample in science class as being 20.8 grams. The actual weight of the sample is 20 grams. What is her percent relative error? Show your work.

Answers

Answer is 4%

If you keep subtracting 20.8 with any percent at all you would find your answer

If you need more work shown i will give you more by saying it in comments. ^^

A researcher is 95% confident that the interval from 19.8 to 31.5 captures y = the true mean number of unbroken
crackers in a certain-sized bag.
Is it plausible that the true mean number of unbroken crackers for all bags of this size may be 302
ОООО
No, this is not a plausible value for the population mean, because 30 is within the 95% confidence interval.
No, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.
Yes, this is a plausible value for the population mean, because 30 is within the 95% confidence interval.
Yes, this is a plausible value for the population mean, because 30 is not within the 95% confidence interval.

Answers

No, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.

What is confidence interval?

Based on a sample from a population, a confidence interval is a range of values that is likely to include the true value of that population parameter. In statistics, samples are frequently used to calculate population characteristics like the mean or percentage. The estimate could not be precisely equal to the real value of the population parameter, though, as the sample is only a portion of the population.

According to the statement in the issue, there should be between 19.8 and 31.5 unbroken crackers in a bag of a specific size with 95% confidence.

Hence, no, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.

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Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest tenth.

Answers

Answer:

x = 16.2

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 54°

Hypothenus = 20

Opposite = x =?

The value of x can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 54° = x / 20

Cross multiply

x = 20 × Sine 54

x = 20 × 0.8090

x = 16.2

Thus, the value of x is 16.2

Identify each pair of angles as corresponding, alternate interior, alternate exterior, or a consecutive interior and solve for X

Answers

Answer:

those are corresponding angles

Step-by-step explanation:

6x=5x+10

-5x on both sides of the equal sign

x=10

If mBC = mBD =140 degrees then What is m

Answers

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The sum of arcs of a circle is 360°, so the measure of arc CD is ...

  CB +BD +CD = 360°

  CD = 360° -140° -140° = 80°

The measure of inscribed angle B is half the measure of the arc it subtends:

  ∠B = arc CD/2 = 80°/2

  ∠B = 40°

Answer:

40 degrees

Step-by-step explanation:

In an effort to reduce boarding time, an airline tries a new method of boarding its planes. Historically, only 32% of passengers were satisfied with the boarding process random sample of 32 passengers using the new boarding process found 44% who said they were satisfied with the boarding process, yielding a test statistic of _______.
(a) What is the p-value of the hypothesis test to determine if this new boarding process resulted in improved passenger satisfaction?______ (4 decimals)
(b) What is the meaning of a Type 11 error in this context? The airline concludes a greater proportion of passengers were satisfied, when in reality, the same proportion of passengers were satisfied.
(c) Which significance level would minimize the likelihood of making a Type II error?
a = 0.01
a = 0.10

Answers

Answer:

Test statistics of 1.455

P-value = 0.0728

Step-by-step explanation:

From the given information:

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n} }} \\ \\ \\ Z = \dfrac{0.44 -0.32}{\sqrt{\dfrac{0.32(1-0.32)}{32} }}[/tex]

Z = 1.455

We want to test if the customer satisfaction increased significantly(one-tailed test)

Null hypothesis:

[tex]H_o : p= 0.32[/tex]

Alternative hypothesis:

[tex]H_a: p>0.32[/tex]

P-value = P(Z>1.455)

= 0.0728

b) Type II error implies the error of accepting [tex]H_o \ (i.e\ \text{ the null \ hypothesis)}[/tex]when [tex]H_a \ (i.e\ \text{ the alternative \ hypothesis)}[/tex] is true.

This implies inferring that there is no huge improvement in passenger's satisfaction when there is.

c) Type 1 and Type II errors are inversely proportional. In this situation, as one increases, the other definitely decreases.

∴ A Smaller value of Type II error will be achieved by a higher type I error.

⇒ 0.10

10% of ___ is 14

what is the number

Answers

Answer:

140 :)

Hope this helps

Step-by-step explanation:

Tell me if I am right

The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x - 4), find BD.

Answers

Answer:

Step-by-step explanation:

5

What is the area of the kite?

Answers

Answer:

Step-by-step explanation:

area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²

What are the polar coordinates of the rectangular coordinates (2, -2√3)?

A. (4, 11π/6)
B. (4, 5π/3)
C. (2, 5π/3)
D. (2, 11π/6)

Answers

9514 1404 393

Answer:

  B.  (4, 5π/3)

Step-by-step explanation:

If you sketch the location of the point, you find the coordinates correspond to the side lengths of a 30°-60°-90° "special" triangle. The reference angle is 60°, or π/3 radians, and the magnitude of the vector is twice the short dimension, so is 2×2 = 4.

The polar coordinates are (4, 5π/3).

ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!

Answers

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Jack and Carl share a 30-ounce bucket of clay. By the end of the week, Jack has used 1/10 of the bucket, and Carl has used 2/5 of the bucket of clay. How many ounces are left in the bucket?

Answers

Answer:

15

Step-by-step explanation:

Since we're working with fractions, and the thirty ounce bucket is equivalent to 30/30. In order to make this easier, let's use the denominator of 30 for all of the fractions. Now that we've made them all equal, turning 1/10 to 3/30, and 2/5 to 12/30, let's add. 12 + 3 is 15, and 15/30 is half of 30/30. There was 15 ounces, or 1/2 of the tub, left.

In the following diagram,


m
.



Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.

Answers

Answer:

x + 75 = 180, as these two angles form a straight angle.x = 180° - 75° = 105°

y and x are supplementary angles as p is transversal of l and m:

y + x = 180°y = 180° - x = 180°  - 105° = 75°

z is same as 86° as vertical angles:

z = 86°

w and z are supplementary angles as g is transversal of l and m:

w + z = 180°w = 180° - z = 180° - 86° = 94°

What's the area of the following triangle? 8 ft 16 ft

Answers

Answer:

128 :)

Step-by-step explanation:

The area of the given triangle in the figure is 64 ft.².

A triangle is one of the most elementary geometric figures with 3 edges, 3 angles, and 3 vertices. The sum of the three angles of a triangle is 360°. The area of a triangle can be found using many methods but the most basic method is to half the product of height and length of the base of the triangle.

Given that

The height of the given triangle is 16 ft. and the length of the base is 16 ft.

As it is known that the area of a triangle is defined as

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times height\times base[/tex]

So,

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times 8\times 16\\Area\ of\ the\ triangle = 64 ft.^2[/tex]

Thus, the area of the given triangle is 64 ft.².

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Find all constants a such that the vectors (a, 4) and (2, 5) are parallel.

Answers

Answer:

[tex]\displaystyle a = \frac{8}{5}[/tex].

Step-by-step explanation:

Two vectors [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex] are parallel to one another if and only if the ratio between their corresponding components are equal:

[tex]\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}[/tex].

Equivalently:

[tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex].

For the two vectors in this equation to be parallel to one another:

[tex]\displaystyle \frac{a}{4} = \frac{2}{5}[/tex].

Solve for [tex]a[/tex]:

[tex]\displaystyle a = \frac{8}{5}[/tex].

[tex]\displaystyle \frac{8}{5}[/tex] would be the only valid value of [tex]a[/tex]; no other value would satisfy the [tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex] equation.

WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

6

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

what property is 8 • 1 and 8

Answers

Ans: A. Additive Identity Property.
Are you talking about 8 x 1 = 8? The property is called the Identity property of 1 or the Multiplicative Property of 1. It states that X(1)=x; anything times 1 will always be 1.

Find the surface area of the rectangular prism.
2 cm
6 cm
3 cm
3 cm

Answers

Answer:

72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.

Step-by-step explanation:

Givens

L = 6 cm

W = 3 cm

H = 2 cm

I don't know what the extra 3 cm is for.

Formula

SA = 2*L*W + 2*L*H + 2*H*W

SA = 2*6*3 + 2*6*2 + 2*2*3

SA = 36 + 24 + 12

SA = 72

Answer:

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS

Answers

Answer:

124

Step-by-step explanation:

Elm St. and Oak St. are parallel lines.

Cedar St. is a transversal to the other two streets.

When parallel lines are cut by a transversal, corresponding angles are congruent.

The angles with measures 9x + 61 and 3x + 103 are corresponding angles, so they are congruent and have the same measure.

9x + 61 = 3x + 103

Subtract 3x from both sides.

6x + 61 = 103

Subtract 61 from both sides.

6x = 42

Divide both sides by 6.

x = 7

9x + 61 = 9(7) + 61 = 63 + 61 = 124

3x + 103 = 3(7) + 103 = 21 + 103 = 124

What is four x equals twelve

Answers

Answer:

x= 3

Step-by-step explanation:

12 ÷ 4 +3

The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The given statement is "four x equals twelve"

According to the given question, translate the phrase into an algebraic expression:

⇒ 4x = 12

Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"

Now the above expression solves for variable x,

⇒ 4x = 12

Divided by 4 into both sides of the above equation,

⇒ 4x / 4 = 12 / 4

⇒ x = 3

Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.

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a right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters. what is the volume of the rectangular prism?

Answers

Answer:

22.5 cm

Step-by-step explanation:

length times width times height

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