A soccer club has 560 members. So far 7/8 of the members have help[ how many people helped clean up

Answer:

It will be 40

Step-by-step explanation:

Hope this helped have an amazing day!

The given statement is,

→ if u have 10 and add 20 and add 10.

In mathematical expression,

→ (10 + 20) + 10

→ 30 + 10

→ 40 is the answer.

Step-by-step explanation:

Let S be the set of all the stores in the sample, A be the set of stores dealing with Asian companies and E but the set of stores dealing with European companies

i. The set of stores that deal with European or Asian companies is A ∪ E. The inclusion-exclusion principle states that |A ∪ E| = |A| + |E| - |A ∩ E| = 266 + 308 - 103 = 471. So P(A ∪ E) = 471/500 = 0.942

ii. E' = S - E. |S-E| = 500 - 308 = 192. So P(E') = 192/500 = 0.384

iii. |A - E| = |A| - |A ∩ E| = 266 - 103 = 163. So P(A - E) = 163/500 = 0.326

iv. Stores that do not deal with only one type of company, must deal with both Asian and European companies. We are given that |A ∩ E| = 103. So P(A ∩ E) = 103/500 = 0.206

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The values of p and q, if Expression 10x – x² can be written as p – (x – q)² are 25 and 5.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given:

Expression 10x – x²

The expression can be written as

10x – x² = p – (x – q)²

10x – x² = p - x² - q² + 2xq

10x – x² = - x² + 2xq + p - q²

Compare the quantities on both sides,

10x = 2xq and 0 = p - q², p = q²

q = 10x / 2x = 5

p = 5² = 25

Therefore, the values of p and q, if Expression 10x – x² can be written as p – (x – q)² are 25 and 5.

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The numerator corresponds to the sides of one triangle, while the denominator corresponds to the sides of the other triangle.

When two polygons are similar, it means that their corresponding angles are congruent and their corresponding sides are in proportion. In the case of ΔABC ≅ ΔZYX, we can list the pairs of congruent angles as follows:

∠A ≅ ∠Z
∠B ≅ ∠Y
∠C ≅ ∠X

To write a proportion that relates the corresponding sides, we can choose any two sides from each triangle. Let's choose side AB from ΔABC and side ZY from ΔZYX. The proportion would be:

AB/ZY = BC/YX = AC/XZ

Note that in a proportion, the numerator corresponds to the sides of one triangle, while the denominator corresponds to the sides of the other triangle.

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Original Cost - $82

First part: Apply the 60% off discount

Convert first the 60% into decimal form

60% ÷ 100% = 0.6

Multiply it to the original cost to determine the discount

$82 ˣ 0.6 = $49.2

Subtract the discount to the original price, to determine the discounted price.

$82 - $49.2 = $32.8

Second part:

The discounted price is now $32.8 for which we will apply another 10% discount.

Again, convert 10% into decimal

10% ÷ 100% = 0.1

Multiply it to the discounted price, to determine the second discount.

$32.8 ˣ 0.1 = $3.28

Subtract the discount to the already discounted price.

$32.8 - $3.28 = $29.52

Therefore, the final sale price of the watch is at $29.52.

Answer:

x=5

Step-by-step explanation:

-3=x-8

8-3=x

x=5

Answer:

B: (-57)+(-60)

Step-by-step explanation:

When you are adding a negative number, you are essentially subtracting. Therefore, (-57)+(-60) would have the same answer as -57-60, which is -117.

Let me know if this helped!

To identify certain characteristics of a function f(x), we can use various methods or formulas. The characteristics we will consider are x-intercepts, y-intercepts, vertical asymptotes, horizontal asymptotes, and holes in the graph. Each of these characteristics provides valuable information about the behavior of the function.

(a) To identify the x-intercepts of the function f(x), we solve the equation f(x) = 0.

The solutions to this equation represent the points where the graph of f(x) intersects the x-axis.

(b) To identify the y-intercept of the function f(x), we evaluate f(0). This gives us the value of f(x) when x = 0, which corresponds to the point where the graph intersects the y-axis.

(c) To identify vertical asymptotes, we look for values of x where the function approaches infinity or negative infinity.

Vertical asymptotes occur when the function approaches these values as x approaches certain points.

(d) To identify horizontal asymptotes, we consider the behavior of the function as x approaches positive or negative infinity.

If the function approaches a specific value or remains bounded as x goes to infinity or negative infinity, we have a horizontal asymptote at that value.

(e) Holes in the graph occur when there are values of x that make the function undefined, but the function can be simplified or defined at those points by canceling out common factors in the numerator and denominator.

To determine the intervals where f(x) is positive or negative, we can analyze the sign of the function within different intervals on the x-axis. If f(x) > 0, the function is positive, and if f(x) < 0, the function is negative within those intervals.

If the horizontal asymptote of f(x) is y = 0, it indicates that as x approaches infinity or negative infinity, the function approaches zero. This implies that the graph of f(x) will get closer to the x-axis as x goes to infinity or negative infinity.

In conclusion, by employing the methods described above, we can identify the x-intercepts, y-intercepts, vertical asymptotes, horizontal asymptotes, and holes in the graph of a given function.

These characteristics provide important insights into the behavior and properties of the function.

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Answer:

80⁰

Step-by-step explanation:

45+55

180-100=80

Answer:

\(\dfrac{3}{5} + \dfrac{3}{2} = 2\dfrac{1}{10}\)

Step-by-step explanation:

Given

\(\dfrac{3}{5} + \dfrac{3}{2}\)

Required

Solve

\(\dfrac{3}{5} + \dfrac{3}{2}\)

We start by taking the LCM of the denominator (5 and 10)

\(\dfrac{3}{5} + \dfrac{3}{2} = \dfrac{6 + 15}{10}\)

Add the expression at the numerator

\(\dfrac{3}{5} + \dfrac{3}{2} = \dfrac{21}{10}\)

Convert to mixed number

\(\dfrac{3}{5} + \dfrac{3}{2} = 2\dfrac{1}{10}\)

Solved

The probability the next card Leslie looks at will be a pitcher is 7/24

From the question, we have the following parameters that can be used in our computation:

Pitcher = 7

Total number of cards = 24

This means that

P(Pitcher) = Pitcher/Total number of cards

So, we have

P(Pitcher) = 7/24

Hence. the probability is 7/24

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Answer:

$12

Step-by-step explanation:

add 3 to 9 and get 12

Answer:

5

Step-by-step explanation:

if we are going by angle 43 degrees it would be cosine. adjavent over hypotnuse. Cos(43)=x/17. 17*cos(43)=x   x = 12.433. 12.4

We need at least 27 terms of the series to ensure that the remainder is less than 0.0005.

We need to find the number of terms required to satisfy the following inequality:

| R | < 0.0005

where R is the remainder after truncating the series to n terms.

The nth term of the series is given by:

\(an = 5n^5\)

The sum of the first n terms can be expressed as:

\(Sn = 5(1^5 + 2^5 + ... + n^5)\)

Using the formula for the sum of the first n natural numbers, we can simplify this to:

\(Sn = 5(n(n+1)/2)^2(n^2 + n + 1)\)

We can now express the remainder R as:

\(R = 5((n+1)^5 + (n+2)^5 + ...)\)

Using the inequality (n+1\()^5\) > \(n^5\), we can simplify this to:

R < \(5((n+1)^5 + (n+1)^5 + ...)\) = \(5/(1-(n+1)^(-5))\)

We want R to be less than 0.0005, so we can set up the inequality:

\(5/(1-(n+1)^{(-5))\) < 0.0005

Solving for n, we get:

n ≥ 26.86

Since n must be an integer, the smallest value of n that satisfies this inequality is:

n = 27

Therefore, we need at least 27 terms of the series to ensure that the remainder is less than 0.0005.

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Answer: 36.4 seconds

(Unitary method)

5 meters take 2 seconds

1 meter takes 2/5 seconds

91 meter takes 2/5 * 91 --> 36.4 seconds

The time taken by Andre to run 91 meters is 36.5 seconds.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Distance travelled by Andre=5 meters in time t=2seconds

Thus Andre's speed = 5/2

                                  =2.5 m/sec

Thus time taken to run 91 m is = 91/2.5

                                                  =36.5 seconds

Hence, The time taken by Andre to run 91 meters is 36.5 seconds.

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Answer:

The coordinates of J' when rotating by 90° counterclockwise will be: J'(3, 1)

The coordinates of J' when rotating by 90° clockwise will be: J'(-3, -1)

Step-by-step explanation:

Square JKLM with vertices

We have to determine the answer for the image J' of the point (1, -3) when we rotate the point by 90° counterclockwise, we need to switch x and y, make y negative.

In other words, the rule to rotate a point by 90° counterclockwise.

P(x, y) → P'(-y, x)

As we are given that J(1, -3), so the coordinates of J' will be:

J(1, -3) → J'(3, 1)

Therefore, the coordinates of J' when rotating by 90° counterclockwise will be:  J'(3, 1).

When the point is rotated by 90° clockwise, we need to switch x and y, make x negative.

In other words, the rule to rotate a point by 90° clockwise.

P(x, y) → P'(y, -x)

As we are given that J(1, -3), so the coordinates of J' will be:

J(1, -3) → J'(-3, -1)

Therefore, the coordinates of J' when rotating by 90° clockwise will be:  J'(-3, -1)

Answer:

Neither

Step-by-step explanation:

None of them have the same angles as triange ABC.

Answer:

6x + 2y

Step-by-step explanation:

6x + 4y - 2y =

6x + 2y

Hope that helps!

Answer:

30+37=67

180-67=113

Step-by-step explanation:

its a triangle lol

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4x + 5y = - 45 ( subtract 4x from both sides )

5y = - 4x - 45 ( divide terms by 5 )

y = - \(\frac{4}{5}\) x - 9 ← in slope- intercept form

with slope m = - \(\frac{4}{5}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{4}{5} }\) = \(\frac{5}{4}\) , then

y = \(\frac{5}{4}\) x + c ← is the partial equation

To find c substitute (- 4, - 11 ) into the partial equation

- 11 = - 5 + c ⇒ c = - 11 + 5 = - 6

y = \(\frac{5}{4}\) x - 6 → B

Answer:

y=5/4x-6

Step-by-step explanation:

4x + 5y = -45 (this is to be perpendicular to the line)

m=5/4 (where m is the gradient of the line)

Write the formula for equation of a line, we have;

y=mx + b

substituting this

y=mx + b

m=5/4, (-4, -11)

substituting

y=mx + b, we have;

-11=5/4 × (-4) + b

solving the equation, we have;

-11=5/4 × (-4) + b

we have;

-11= -5 + b (this is gotten by cancellation of 4 by itself in this -11=5/4 × (-4) + b)

rearrange the unknown term to the left side of the equation:

-11= -5 + b

we have;

-b= -5 + 11 (b is minus because when it cross of the equality sign it (+ sign)changes to (- sign)

-b= -5 + 11,

given us;

-b=6

substituting

y=mx + b

m=5/4 ,b= -6

therefore, y=mx + b

y=5/4x - c

According to Distributive property, you know that:

In this case, you need to solve the following multiplication:

One of the ways to solve it is using the Distributive property. Notice that:

- The first digit 2 is located in the hundreds place.

- The second digit 2 is located in the tens place.

- The last digit 1 is located in the ones place.

Then, based on the above, you can set up the following expression:

Multiplying the number inside the parentheses and adding the products, you get:

The answer is: Option C.

Answer:

(2x + 14)° + (7x + 13)° = 180°

(2x + 14)° = 48°

(7x + 13)° = 132°

All 3 statements are true

Step-by-step explanation:

Answer:

The triangle is acute.

Step-by-step explanation:

Answer:

Acute triangle

Step-by-step explanation:

Obtuse triangles have angle measures of greater than 90.

None of these angles are above ninety.

Right triangles have angle measures of 90.

None of these angles are equal to 90.

Acute triangles have angle measures that are all less than 90.

This is an acute triangle.

Based on the given information, we cannot prove that △EFG and △KLM are similar using the SSS or SAS similarity theorems. The correct answer is option D) No, they cannot be proven similar by SSS or SAS.

To determine if the triangles △EFG and △KLM can be proven similar using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) similarity theorems, we need to compare their corresponding sides and angles.

SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

SAS Similarity Theorem states that if two corresponding sides of two triangles are proportional, and the included angles are congruent, then the triangles are similar.

Let's examine the given information:

Side lengths of △EFG: EF = 18, EG = 24, FG = 15.

Side lengths of △KLM: KL = 6, KM = 8, LM = 5.

By comparing the side lengths, we can see that they are not proportional. For example, the ratio of EF/KL is 18/6 = 3, while the ratio of EG/KM is 24/8 = 3. Therefore, the corresponding sides of △EFG and △KLM are not proportional, which means we cannot establish similarity using the SSS theorem.

Now, let's consider the SAS theorem. For this, we also need to compare the included angles.

Angles of △EFG: ∠EFG, ∠EFG, ∠EGF.

Angles of △KLM: ∠KLM, ∠KML, ∠KLM.

The given information states that ∠EFG and ∠KLM are congruent. However, we don't have any information about the other angles. Without knowing the congruency of the remaining angles, we cannot establish similarity using the SAS theorem

Option D.

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Answer: Its C

Step-by-step explanation: