*Simple math question* The eighth grade class at grade school has 15 girls and 14 boys. How many different boy-girl dates can be arranged?

Constant of proportionality is given by: y=kx oy [tex]k=\frac{y}{x}[/tex]

So lets suppose y = 50 and x = 5 so k will be [tex]\frac{50}{5}=10[/tex]

This 10 will remain constant. For every $50 Michael saves $5, for $100 he will save  $10 , for $150 he will save $15 and so on.

So this 'k' will be same for each value of x and y.

A + B  = - 2x² - 15 , A - B = 10x² - 5

A + B = 4x² - 10 - 6x² - 5 = - 2x² - 15

A - B = 4x² - 10 ) - ( - 6x² - 5 ) = 4x² - 10 + 6x² + 5 = 10x² - 5

Note the equal sign. What you do to one side, you do to the other. Isolate the a.

Add 4 to both sides

a- 4 (+4) = 15 (+4)

a = 15 + 4

a = 19

19 is your answer for a

hope this helps

The answer is 19.

-4 + a = 15

4 + -4 + a = 15 + 4         -Add 4 to both sides

a = 19

To subtract 43.866 from 737.303, align the decimal points and subtract the corresponding digits from right to left.

To subtract 43.866 from 737.303, align the decimal points of the two numbers. Then subtract the corresponding digits from right to left, carrying over as necessary. The result is 693.437.

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Answer:

91000 or 9.100 * 10^4

Step-by-step explanation:

This mean that a lot of things are going to change. The decimal will disappear. If that happens what you have is

90998

Now many other things will disappear as well because you are rounding

The easiest way to show this is just to round which will give you

91000

If you know scientific notation then the answer becomes

9.100 * 10^4

Final answer:

To factor the expression 16a+40b by finding the GCF, you determine that the GCF is 8 and then express the original terms as 8(2a + 5b). By distributing the GCF back into the factored terms and obtaining the original expression, you confirm the factorization is correct.

Explanation:

To factor the expression 16a+40b by finding the Greatest Common Factor (GCF), you first list the factors of each coefficient:

Factors of 16 are 1, 2, 4, 8, 16.

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

The GCF for these two numbers is 8 because it is the highest number that divides both 16 and 40 evenly. Now, you factor out the GCF from both terms in the expression:

8(2a + 5b)

To verify if the GCF is factored out correctly, you can distribute 8 back into the terms within the parentheses. If the original expression is obtained, the GCF was factored out correctly:

8*2a = 16a

8*5b = 40b

Therefore, the factored expression is correct, and Justine has successfully found and factored out the GCF.

Hey there!

The correct answer would be~

The diver is now swimming at -7 meters.

Here's how:

If the diver is already swimming at negative 10, going deeper would add to that.

(-10) + (-3) = -13

So at this point, he is at -13 meters. However, it says he rises 6 meters.

So if he rises, we need to subtract.

13 - 6 = 7

Therefore he is now at -7 meters.

Hope this helps!

~Fluerie

The value of one (1) is one-thousand (1,000)

The value of five (5) is five-hundred (500)

The value of six (6) is sixty (60)

The value of seven (7) is seven (7)

The value of two (2) is two-tenths (0.2)

The value of zero (0) is zero hundredths (0.00)

The value of nine (9) is nine thousandths (0.009

Answer:

The answer is [tex]6x^{3} +39x^{2}+54x[/tex]

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Length (l) = [tex]x+2[/tex]

Width (w) = [tex]3x[/tex]

Height (h) = [tex]2x+9[/tex]

By substituting these values to the equation above,

Volume of the rectangular prism = [tex](x+2)*3x*(2x+9)[/tex]

                                                      =[tex](3x^{2} +6x)*(2x+9)[/tex]

                                                      =[tex]6x^{3} +27x^{2} +12x^{2} +54x[/tex]

                                                      =[tex]6x^{3} +39x^{2}+54x[/tex]

Therefore,

The answer is [tex]6x^{3} +39x^{2}+54x[/tex]

Answer:

Volume = [tex]6x^3+39x^2+54x[/tex]

Step-by-step explanation:

Prism is an object which has two  bases which are parallel to each other and other faces are parallelograms .

Rectangular prism is a three dimensional figure which has 6 faces which are all rectangles .

Let l be the length of rectangular prism , w be the width of prism and h be the height of prism .

Then volume of rectangular prism is equal to [tex]lwh[/tex] .

We will also use formula: [tex]a(b+c)=ab+ac[/tex]

Here,

[tex]l=x+2\\w=3x\\h=2x+9[/tex]

Therefore,

volume of rectangular prism is calculated as follows:

[tex]V=\left ( x+2 \right )\left ( 3x \right )\left ( 2x+9 \right )\\=\left ( 3x^2+6x \right )\left ( 2x+9 \right )\\=3x^2\left ( 2x+9 \right )+6x\left ( 2x+9 \right )\\=6x^3+27x^2+12x^2+54x\\=6x^3+39x^2+54x[/tex]

Reggie's score changed by 350 points.

Reggie lost 4 spaceships in level 3 of a video game, and he lost 50 points for each spaceship. So, the total points lost would be 4 multiplied by 50, which is 200 points. However, when Reggie completed level 3, he earned a bonus of 550 points. To find out how much his score changed, we need to consider both the points lost and the bonus earned.

Points lost: 4 spaceships x 50 points/spaceship = 200 points

Bonus earned: 550 points

Score change: Bonus earned - Points lost = 550 points - 200 points = 350 points

Therefore, Reggie's score changed by 350 points.

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A=length*width

30 1/3 = 6 1/2 w

w= 30 1/3 divided by 6 1/2

w=182/39

w=4 2/3

4 and 2/3

i turned it into an improper fraction

91/3÷13/2=

4 2/3 when simplified

The mean number of people in each spinning class last week is calculated by summing up the total number of attendees and dividing by the number of classes. The mean attendance for last week was 21.

To calculate the mean number of people attending the spinning class each day, you would add up the total number of people for the week and then divide by the number of classes.

The given numbers are:

So the sum of the attendees is: 13 + 23 + 24 + 31 + 14 = 105

The mean is then calculated by dividing the total by the number of days, which is 5 in this case:

Mean = Total ÷ Number of Days = 105 ÷ 5 = 21

So, the mean number of people in each class last week was 21.

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Does it say how many less leashes the store has compared to X collars? Cause if it doesn't you'll just have to estimate the answer between I would say 5 and 7.

Answer:

a

4,5,8,11 are the domain

Step-by-step explanation:

x is always the domain, input and It could also be a function but I don't think that only four five eight and 11 are functions so I would go with a

Out of the provided statements, the correct one is that {4, 5, 8, 11} are the domain, as these values are the first elements in each ordered pair of the given set.

The set of data given is {(4, 0), (5, 0), (8, 0), (11, 0)}, and with respect to this set, the domain is the set of first elements of each ordered pair, while the range is the set of second elements. In this case, the domain is the set {4, 5, 8, 11}, and the range is the set containing just one element, which is {0}, since each second element is 0. Therefore, the correct statement is: {4, 5, 8, 11} are the domain.

* First is correct - the height crosses the 0 point between 8 and 10 secs

* Third is correct - 81.6 m is max at 4 secs

all others incorrect

The formula of a midpoint:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have:

[tex]A(8,\ 4)\to x_A=8,\ y_A=4\\B(12,\ 2)\to x_B=12,\ y_B=2[/tex]

Substitute:

[tex]\dfrac{8+12}{2}=\dfrac{20}{2}=10\\\\\dfrac{4+2}{2}=\dfrac{6}{2}=3[/tex]

Let's first recall what is known as the Midpoint formula we have, so by the Midpoint formula, we know that, the midpoint of any line segment joining the points [tex]{\bf{A(x_{1},y_{1})}}[/tex] and [tex]{\bf{B(x_{2},y_{2})}}[/tex] is given by

Now, if we assume our points to be A(8,4) and B(12,2) and the midpoint being M, then we will be having :

[tex]{:\implies \quad \sf M=\bigg(\dfrac{8+12}{2},\dfrac{4+2}{2}\bigg)}[/tex]

[tex]{:\implies \quad \sf M=\bigg(\dfrac{20}{2},\dfrac{6}{2}\bigg)}[/tex]

[tex]{:\implies \quad \boxed{\bf{M=(10,3)}}}[/tex]

Hence, the required Midpoint is (10,3)

Answer:

 distance        distance

--------------- + ----------------- = 2.5 hrs

35 mph          45 mph

The distance is 49.22 miles.

Step-by-step explanation:

The time spent on the outward trip PLUS the time spent on the return trip add up to 2.5 hrs.  Thus,

 distance        distance

--------------- + ----------------- = 2.5 hrs

35 mph          45 mph

Then 45d + 35d = 2.5(35)(45) = 3937.5.  Adding 45d and 35d, we get 80d.  Dividing 3937.5 by 80 results in 49.22 (miles).

The home to work distance is 49.22 miles.

Answer:

49.22

Step-by-step explanation:

The equation to your answer is n/35+n/45=2.5

You would just start from the beginning because it is all addition (Pemdas) Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

To simplify the expression √7{x 5} ×  √7{x 5}, you can multiply the radicands together and simplify the result.

To simplify the expression √7{x 5} ×  √7{x 5}

We can use the properties of radicals to simplify the expression. When multiplying radicals with the same index, we can simplify by multiplying the radicands together. In this case, the radicands are both x5, so the simplified form will be:

√7{x 5} ×  √7{x 5} = √7{x 5 × x 5} = √7{x10}

Therefore, the simplified form of the expression is √7{x10}.

Answer:

Option D

Yes 0.4

Step-by-step explanation:

A sequence is said to be arithmetic if there is a pattern as

nth term is got by adding d to n-1th term.

d = common difference

The sequence will look like

a, a+d,a+2d, a+3d,......

where I term= a and each time d is added to get the next term.

Our given sequence is

-0.3, 0.1, 0.5, 0.9, …

Let us find difference between Ii and I term

=0.1-(-0.3) = 0.4

Similarly iii term - ii term

=0.5-0.1 =0.4

and iv term - iii term = 0.9-0.5 = 0.4

Hence confirmed that this is an arithmetic sequence with I term =-0.3 and common difference = 0.4

Hello!

To find the midpoint of the line segment, use the formula: [tex](\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex]. In simpler terms, we are finding the average of the two points.

We can assign [tex]x_{1}[/tex] and [tex]y_{1}[/tex] to the point (5, 8), and (-1, 6) to  [tex]x_{2}[/tex] and  [tex]y_{2}[/tex].

[tex](\frac{5+(-1)}{2}, \frac{8+6}{2}) = (\frac{4}{2}, \frac{14}{2}) = (2, 7)[/tex]

Therefore, the coordinates of the midpoint of the line segment is (2, 7).

Final answer:

The coordinates of the midpoint of the line segment with endpoints (5,8) and (-1,6) are (2,7).

Explanation:

To find the coordinates of the midpoint of a line segment, we can use the midpoint formula which states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.

Using the formula, we can find the midpoint of the line segment with endpoints (5,8) and (-1,6).

x-coordinate: (5 + (-1)) / 2 = 4 / 2 = 2

y-coordinate: (8 + 6) / 2 = 14 / 2 = 7

Therefore, the coordinates of the midpoint of the line segment are (2,7).

The basketball team, based on their average score of 52 points a game, would score a total of 780 points in 15 games.

Explanation:

To compute the total number of points a team scores in all games, based on their average score, the formula to use is: Total Score = (Average Score) × (Number of Games). The question states that the basketball team scored an average of 52 points in each of 15 games. So, we have:

Total Score = 52 points per game × 15 games

Calculating the above gives Total Score = 780 points.

This means that, based on their average of 52 points per game, the basketball team would score a total of 780 points in 15 games.

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Answer:

2/5 or 0.4

Step-by-step explanation:

10 students like building snowmen but do not like skiing

so students who like both building snowman and skiing = 60 - 10 = 50

Total number of students who does not like building snowman and also does not like skiing = 80 - 60 = 20

Therefore, the probability that  a student who does not like building snowmen also does not like skiing = 20/50 = 0.4

0.8596873205... because it does not repeat the same numbers in a certain order

Without a repeating pattern, 0.8596873205... is most likely irrational.

The question is asking us to identify which among the given numbers is irrational.

An irrational number is a number that cannot be expressed as a ratio of two integers, and whose decimal expansion is non-terminating and non-repeating.

Among the options given, the number 0.8596873205... (although not fully expanded) is likely to be irrational if the digits do not form a repeating pattern.

However, we cannot definitively conclude that it is irrational without additional information about the continuation of its decimal digits.

In contrast, numbers with repeating patterns, such as 0.117117117..., 0.812812812812..., and 0.605605605..., can be expressed as fractions and are therefore rational

Answer:

x + (x+1) + (x+2) = 90

3x + 3 = 90

3x = 87

x = 29 (which is the smallest of the 3 numbers).

Step-by-step explanation: