There are 75 students. 20% of the students are in a club. How many students are in a club?

Answer:

x = 0.529 and y = 3.882

Step-by-step explanation:

The given equations are :

\(y=\dfrac{5}{3}x+3\ ......(1)\\\\y=\dfrc{1}{3}x-3\ .......(2)\)

We need to solve the equations by graphing.

The attached figure shows the solution of the given equations. We can see that, the intersecting points are :

x = 0.529 and y = 3.882

Hence, this is the required solution.

Answer:

the product of the decimal equivalents of all discount in the series

Step-by-step explanation:

♥️♥️♥️ i hope i have been useful buddy

Answer:

x=90-73=17

Step-by-step explanation:

Answer:

I think it might be 17... sorry if u get ir wrong

Answer:

its c. 1,155.00

Step-by-step explanation:

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Hello !

Answer:

\(\boxed{ \sf a =3 }\)

Step-by-step explanation:

We want to find the value of a that satisfies the following equation :

\(\sf 24 = 6(3a - 5)\)

First, let's expand the right side :

\( \sf 24 = 6 \times 3a + 6 \times ( - 5) \\\sf 24 = 18a - 30\)

Now let's add 30 to both sides of the equation :

\( \sf 24 + 30 = 18a - 30 + 30 \\ \sf54 = 18a\)

Finally, let's divide both sides by 18 :

\( \sf\frac{54}{18} = \frac{18a}{18} \\ \boxed{ \sf a =3 }\)

Have a nice day ;)

Answer:

The smaller number is 5.

The bigger number is 15.

Step-by-step explanation:

Let the smaller number be x and the bigger number be x+10.

x+x+10 = 4x

2x+10 = 4x

10 = 4x-2x

2x = 10

x = 10÷2

  = 5

x+10 = 5+10

       = 15

Answer:

26.9 inches

Step-by-step explanation:

2x Pythagorean theorem

First we find the length of AC with ABC. AC is the hypotenuse of triangle ABC.

AC = sqrt(7^2+24^2) = sqrt625 = 25.

Now, AD is the hypotenuse of ACD. So AD = sqrt(25^2+10^2) = sqrt(725) = 26.925824 which is about 26.9 inches.

Answer:

Step-by-step explanation:

Use Pythagorean:

Answer:

400 ft³

Explanation:

The volume of a square pyramid can be calculated as:

Where a is the side of the square and h is the height of the pyramid.

Now, we need to calculate the height using the slant height, so we will use the following equation:

So, the height of the pyramid is equal to:

Then, the volume of the square pyramid is equal to:

Therefore, the answer is 400 ft³

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

By finding a linear equation, we conclude that the length of 21 carts is 153 in

Here we know that:

Now, the relation between the length L and the number of carts x must be a linear relation:

L = a*x + b

Where a is the slope and b is the y-intercept.

Here we have 2 points (4, 51in) and (5, 57 in), then the slope is:

a = (57 in - 51 in)/(5 - 4) = 6in

Then the line is something like:

L = 6in*x + b

To find the value of b, we use one of the given points, like (4, 51 in), it means that when x = 4, we must have L = 51in.

51in = 6in*4 + b

51in = 24in + b

51in - 24 in = b = 27in

Then the linear equation is:

L = 6in*x + 27in

The length for a total of 21 carts is what we get when we evaluate in x = 21, so we will get:

L = 6in*21 + 27in = 153 in

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Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

Answer:

Hello, an expression are numbers, symbols, and operators grouped to show the value of something. For example, 4+5 and 45/5-2 are expressions.

Step-by-step explanation:

I hope this helped you!

Answer: The answer is 148 square feet.

Step-by-step explanation:

So if we are given the information to the area of the composite figure, we just first have to find the area of the smaller shapes and then add them all together to achieve the total.

1. The larger rectangle is a 10 by 14 rectangle.

2. The smaller rectangle is a 1 by 8 rectangle.

How did I get around to 8 feet?

Subtract 3 and 3 from 14, and you'll get 8 for the side.

Now just find the areas of each of the rectangles:

1. 10 times 14 = 140

2. 1 times 8 = 8

Now add them together:

140 + 8 = 148

The answer is 148 square feet.

Answer:

5(x-1)>5/4x

If you mean (5/4)x, then

Divide by 5

x-1 > (1/4)x

x-1 > x/4

Multiply by 4

4x-4 > x

Add 4

4x > x+4

Subtract x

3x > 4

Divide by 3

x > 4/3

I hope its help u dear

Answer:

.aabc=amn0#1211

Step-by-step explanation:

nosascoOsasco n=12.8

Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

Answer:

Step-by-step explanation:

Kaylee held 1000 shares after the split. The post-split price per share was $17.06.

Explanation:

Before the split, Kaylee held 500 shares of the stock, and each share was worth $34.12. So, her total investment was 500 x $34.12 = $17,060.

After the 2-for-1 split, each share is split into 2 shares. So, the total number of shares she holds becomes 500 x 2 = 1000.

To find the post-split price per share, we divide the pre-split price by 2.

Post-split price per share = $34.12 / 2 = $17.06.

Answer:

b

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

100 represents a whole amount so the numerator would be 3 over 100 because it is 3% out of a total of 100.

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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Answer:

see attached

Step-by-step explanation:

I can't seem to add an answer - it's telling me that my answer contains a link or inappropriate words, which it does not!

Therefore, I have typed it up, screen shotted it and attached it as attachments.

Answer:

12^4/5

Step-by-step explanation:

When doing this you put the number the base is raised to on top of the fraction and the root number on the bottom

The value of x is 18.8m

Given:

θ = 48°

Y = 17m

The law of tangent which is also called as tangent formula or tangent rule is the ratio of the sine of the angle to the cos of the angle.

tan θ = Opposite / Adjacent.

Here,

Sum of triangle = 180°

90° + 48° + x° = 180°

x° = 42°

tan θ = opposite/ adjacent.

Substituting the values

tan 42° = 17/x  (∴tan 42° = 0.9004)

0.9004 = 17/x

So we get,

x = 17/0.9004

x = 18,8m

Therefore, the value of x is 18.8m.

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The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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The vertical forces on block A are: the force of gravity acting downwards with a magnitude of 40 N, and the normal force of the wall acting upwards with a magnitude of 40 N. It is not possible to determine the magnitude of the frictional force between block A and block B without knowing the coefficient of static friction.

The force of gravity on block A is equal to its mass (4 kg) times the acceleration due to gravity (10 m/s^2), which gives a magnitude of 40 N. Since block A is in contact with the wall, there must be a normal force acting on it from the wall to counteract the force of gravity. This normal force has the same magnitude as the force of gravity on block A. Therefore, the magnitude of the normal force of the wall on block A is also 40 N.

The frictional force between block A and block B depends on the coefficient of static friction between the two surfaces in contact and the normal force of block A on block B. Since we are not given the coefficient of static friction, we cannot determine the magnitude of the frictional force.

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Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

Answer:

A) P(F | Fail) = 0.0195

B) i. Most bottles that fail inspection do not have a flaw.

C) P(NF | Pass) = 0.999999

D) ii: Most bottles that pass the inspection don't have a flaw.

E) probability in part C is very large and almost 100% and as such even if we fail a bottle which has no flaw, it is not a problem because we are sure that the ones that pass have no flaw.

Step-by-step explanation:

Let us first denote the terms:

F = The bottles have a flaw

NF = The bottles have no flaw

Pass = The bottles successfully passed the inspection test

Fail = The bottle failed the inspection test.

We are given:

P(F) = 0.0002

P(Fail | F) = 0.995

P(Pass | NF) = 0.99

Thus, probability of no flaw is;

P(NF) = 1 - P(F)

P(NF) = 1 - 0.0002

P(NF) = 0.9998

Also, probability that it passes the inspection when it has a flaw is;

P(Pass | F) = 1 - P(Fail | F)

P(Pass | F) = 1 - 0.995

P(Pass | F) = 0.005

Probability that it failed the test when It has no flaw is;

P(Fail | NF) = 1 - P(Pass | NF)

Thus;

P(Fail | NF) = 1 - 0.99

P(Fail | NF) = 0.01

A. Using Baye's theorem, we can find the probability that if fails inspection when it has a flaw;

P(F | Fail) = [P(Fail | F) × P(F)] / [(P(Fail | NF) × P(NF)) + (P(Fail | F) × P(F))]

P(F | Fail) = ((0.995) × (0.0002)/((0.01 × 0.9998) + (0.995 × 0.0002))

P(F | Fail) = 0.0195

B) probability in A is very small, thus;

We can say that majority of the bottles that fail inspection do not have a flaw.

C) using baye's theorem again, the probability that the bottle does not have a flaw if it passes the inspection. iis given by;

P(NF | Pass) = (P(Pass | NF) × P(NF)) / [(P(Pass | F) × P(F)) + (P(Pass | NF) × P(NF)]

P(NF | Pass) = (0.99 × 0.9998)/((0.005 × 0.0002) + (0.99 × 0.9998))

P(NF | Pass) = 0.999999

D) Probability in C above is very high, thus;

Most bottles that pass the inspection don't have a flaw.

E) probability in part C is very large and almost 100% and as such even if we fail a bottle which has no flaw, it is not a problem because we are sure that the ones that pass have no flaw.