4.
STEM In 10 minutes, a heart can beat 700 times. At this rate,
in how many minutes will a heart beat 140 times? At what rate.
can a heart beat? (Example 4)

Considering the sum of the internal angles of the polygon, it is found that the measures of the angles A and B are given as follows;

The sum of the internal angles of a polygon with n vertices is given by the following equation:

S = (n - 2) x 180º.

For this problem, the polygon has 6 vertices, hence n = 6 and the sum is given by:

S = (6 - 2) x 180º = 720º.

Considering each internal angle, we can solve for x as follows:

13x + 2 + 16x + 7 + 88 + 155 + 170 + 95 = 720

29x + 517 = 720

29x = 203

x = 203/29

x = 7.

Then the measures are given as follows:

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Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.

The area of a triangle is expressed as;

A = 1/2 × base × height

Given the data in the question;

To determine the base of the triangular pendant, we plug the values into the equation above.

A = 1/2 × base × height

70 = 1/2 × base × 14

70 = 14/2 × base

70 = 7 × base

base = 70/7

base = 10 inches

Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.

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Answer: U': (0, 9)

V': (0, 3)

W': (-9, 6)

Step-by-step explanation:

In a 90 degree clockwise rotation about the origin for this triangle, the x and y coordinates of the triangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening over the x-axis, where the y-values will be changing signs while the x-values will still have the same signs.

U: (-9, 0) ==> (0, -9) ==> U': (0, 9)

V: (-3, 0) ==> (0, -3) ==> V': (0, 3)

W: (-6, -9) ==> (-9, -6) ==> W': (-9, 6)

In linear equations, the possible number of players in a game with eight teams  is given by 16 ≤ P ≤ 32.

What are instances of linear equations?

Let the number of players be n

Since each team can have between 2 and 4 players

n ≥ 2 or 2 ≤ n, and n ≤ 2

Therefore, the allowable number of players on a team   is given by 2 ≤ n ≤ 4

2) There are four players in Han's team and a perfect score is 20

Therefore, the number of points Han's team earns in one round if every player earns a perfect score   is given by 4 * 20

3) There are four players in Han's team

Total score if each player in Han's team earns a perfect score is 4 * 20 = 80

Let the total score of Han's team be T

Therefore, the number of points, Han's team earns in one round if no players earn a perfect score   is given by T < 80

4) If two team have 4 players, it is given by 2 * 4

If the rest four teams have 3 players each, it is given by 4 * 3

Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each  is given by (2 * 4) + (4 * 3)

5) Let the possible number of players in a game with be P

Maximum number of players in eight teams = 4 * 8 = 32

Minimum number of players in eight teams = 2 * 8 = 16

P ≤ 32 and P ≥ 16 or 16 ≤P

Therefore, the possible number of players in a game with eight teams  is given by 16 ≤ P ≤ 32.

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The complete question is -

In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents

Answer:

W = -3

Alternatively 2/5

Answer:

2/5,-3 or 0.4,-3 Bainlist please

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

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

9=−7m+1−6

Step 1: Simplify both sides of the equation.

9=−7m+1−6

9=−7m+1+−6

9=(−7m)+(1+−6)(Combine Like Terms)

9=−7m+−5

9=−7m−5

Step 2: Flip the equation.

−7m−5=9

Step 3: Add 5 to both sides.

−7m−5+5=9+5

−7m=14

Step 4: Divide both sides by -7.

−7m/−7 = 14/−7

m=−2

Answer:

3/10 in fractions, 0.3 in decimals.

Step-by-step explanation:

I dont know how to explain for decimal, but for fractions, just divide by 10, and you will get 3, and since 10 can fit in 100 10 times, you just put 3/10 which means 30/100. for decimals, just move the percent two parts backwards, and it should be 0.3 or .30. hopefully it helped (for fraction).

Using function concepts, it is found that:

1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.

2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.

3. The statement is true.

The y-intercept of a function is the value of f(x) when x = 0, that is, the value of y for which the function crosses the y-axis.

If the function crosses the y-axis at y = 0, it will have a y-coordinate of 0, hence:

1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.

One example of linear equation with one variable is: y = 0.

Which passes through the origin, but y = 2 does not, hence:

2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.

In item 3, the intercept is of By = 0 -> y = 0, hence when x = 0, y = 0, meaning that the statement is true, as the function will always pass through the origin.

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The outer surface area of this open top box is 102 [tex]m^{2}[/tex].

The outer surface area of this open top box is given by SA=2lw+2lh+2hw

l = 9m

w= 3m

h = 2m

SA = 2×9×3 + 2×3×2 + 2×2×9

SA = 102 [tex]m^{2}[/tex]

The quantity of space enclosing the exterior of a three-dimensional shape is its surface area.

By summing the areas of the base, top, and lateral surfaces (sides) of the object, one may determine the total surface area. This is accomplished by measuring in square units and applying various area calculations.

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

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The correct answer is 5.5.

Numerator and denominator are the two components of a fraction. The denominator, which is not zero, comes below the line dividing the numerator from the denominator.

The simplest way to answer this question is to multiply the mixed number and fraction together after converting them to decimals.

We are aware that we must divide the numerator by the denominator in order to convert a fraction to a decimal.

1 ÷ 3 Equals 0.3... (This decimal repeats itself.)

0.3... + 7 Equals 7.3... (Continues to repeat)

7/3 equals 7.(3) in decimal form.

3 ÷ 4 = 0.75

As a decimal, 3/4 is 0.75.

Add the two decimal places together:

7. (3) × 0.75 = 5.5

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The number -22 is an integer but not a natural number.

Integers are subsets of real numbers which are all numbers excluding fractions and decimals.

There are 3 types of integers.

Natural numbers are subset of integer numbers which contains all the positive integers such as 7 , 45 , 685 .

Natural numbers are also the subset of real numbers.

The given numbers are:

Hence only -22 is an integer but not a natural number.

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The option that provides the best description of the relationship between a quadratic parent function and a square root parent function is (d) the square root function is the inverse of the quadratic function with a limited domain.

A quadratic parent function is represented as

y = x^2

A square root parent function is represented as

y = √x

As a general rule, a quadratic parent function has no limited domain while a square root parent function has a limited domain i.e. no negative numbers

Also, the square root function is the inverse of the quadratic function

Hence, the best description of the relationship between a quadratic parent function and a square root parent function is (d) the square root function is the inverse of the quadratic function with a limited domain.

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Answer: 75 minutes ( 1 hour 15 minutes )

Step-by-step explanation:

3 games = 45 minutes

45 divided by 3 = 15

1 game = 15

15 x 5 = 75

5 games = 75 minutes

Answer:

Step-by-step explanation:

Answer:

x = 4 + 2y/ 3

Step-by-step explanation:

Applying the definition of the midpoint of a segment, we have:

x = 6

PR = 36 units

If point Q is the midpoint of segment PR, it therefore means that point Q bisects (divides) line segment PR into two equal parts, namely: PQ = QR.

Also, PQ + QR = PR

Given the following:

QR = 18

PR = 5x + 6

Thus, we can create the following equation:

2(QR) = PR

Substitute

2(18) = 5x + 6

36 = 5x + 6

36 - 6= 5x + 6 - 6

30 = 5x

30/5 = 5x/5

6 = x

x = 6

PR = 5x + 6

Plug in the value of x

PR = 5(6) + 6

PR = 36 units

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Answer:

B.16

Step-by-step explanation:

Answer:

B:16

Step-by-step explanation:

Always start in the brackets so

3-1=2 and since the numbers are right by the brackets you multiply

2x4=8 8x2=16

Answer:

Step-by-step explanation:

3/5

Answer:4

Step-by-step explanation:

2+2 is 4

Answer:

3.725 x 10^6 is the scientific notation

Step-by-step explanation:

Is true, even if we are not given the truth values of q, r and s.

Answer:

21km

Step-by-step explanation:

1km=100000cm

14x150000=2100000cm=21km

The distance in real life in kilometers by the given scale factor will be 21 kilometers.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

As per the given,

Scale factor = 1 : 150000

It means 1 cm will convert to 150000 cm.

In real life = 14 x 150000 = 2100000 cm

2100000 cm = 21000 m = 21 kilometer

Hence "The distance in real life in kilometers by the given scale factor will be 21 kilometers".

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Answer:

Step-by-step explanation:

Looking at the graphs we can state that:

A) Not a function as it fails the vertical line test. The three points has same x-coordinate of -1.

B) Not a function as it fails the vertical line test. The three points has same x-coordinate of 1.

C) Is a function as each x-value has a unique y-value:

D)  Is a function as each x-value has a unique y-value:

From the given options, the only one that represents the correct two-way relative frequency table for the data is; Option A

A  two way frequency table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.

Now, we are given the following;

Total Number of students surveyed = 50 students

Percentage that are high school students; 40% = 0.4

Percentage of high school students who chose playing sports; 22% = 0.22

Percentage of high school students who chose dancing; 6% = 0.06

Thus, Percentage of high school students who chose watching movies/TV = 0.4 - (0.22 + 0.06) = 0.12

Percentage that are college students; 100% - 40% = 60% = 0.6

Percentage of college students who chose playing sports; 10% = 0.10

Percentage of  college students who chose watching movies/TV; 18% = 0.18

Thus, Percentage of  college students who chose dancing = 0.6 - (0.1 + 0.28) = 0.32

Looking at the given options, the only one that represents the correct two-way relative frequency table for the data is; Option A

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Answer:

Option A

Step-by-step explanation:

Option A

Answer:

See explanation

Step-by-step explanation:

c=different number of colors

t=5s+50c   ==> c=2

t=5s+50(2)

t=5s+100

5 is the cost of making each shirt and 50 is the cost of making shirts in one color. Hence, 50c is the cost of making shirts in c number of colors and 5s is the cost of making s number of shirts. 50c translates to 50(2) since shirts are made in two colors, so 50(2)=100. 100 dollars is the total cost of making shirts in 2 different colors.

The expression of the statement is 26 = 13.5 +  m/2.5

Expressions are mathematical statements that are represented by variables, coefficients and operators

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.

This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The mathematical statement is given as

Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.

Let the number be m

So, we have

Twenty-six equals the sum of 13.5 and the quotient of m and 2.5.

Quotient means divide

So, we have

Twenty-six equals the sum of 13.5 and m/2.5

Sum means addition

So, we have

Twenty-six equals 13.5 +  m/2.5

Equals means =

So, we have

Twenty-six = 13.5 +  m/2.5

Rewrite as

26 = 13.5 +  m/2.5

Hence, the expression of the statement is 26 = 13.5 +  m/2.5

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Answer:

A. 26 = 13.5 + m/2.5; m = 5 is the correct equation and solution.

To explain, the word "quotient" indicates that we need to divide a number by 2.5. Let the unknown number be represented by the variable "m". Then, the quotient of a number and 2.5 can be written as m/2.5. The math sentence can be written as: 26 = 13.5 + m/2.5

To solve for "m", we can isolate it by subtracting 13.5 from both sides and then multiplying both sides by 2.5:

26 - 13.5 = m/2.5

12.5 = m/2.5

m = 12.5 * 2.5

m = 5

Therefore, the equation that represents the given math sentence is 26 = 13.5 + m/2.5, and the solution is m = 5. Option a is correct.

Answer:

C

Step-by-step explanation:

what is the greatest common factor of 72 and 54 ?

in other words, what is the biggest number that divides both numbers without remainder ?

I use a prime factor analysis (identify all the prime factors).

72 :

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9

9 ÷ 2 no

9 ÷ 3 = 3

3 ÷ 3 = 1 finished

72 = 2⁴×3²

54 :

54 ÷ 2 = 27

27 ÷ 2 no

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1 finished

54 = 2×3³

the largest number that can divide them both without remainder is the combination of the prime factors they have in common :

2 × 3² = 18

Answer: