Shady Grove Middle School is having an outdoor activity day. Each grade can have several teams, but the size of the team must be the same for each grade. There are 108 seventh graders and 102 eighth graders. How many students can be on each team?

Answer:0.2 and 0.35 i think i am not all the way sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the slope, y-intercept, and equation for a line that passes through the points (2, -2) and (8, 1).

The slope formula is used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-2))/(8 -2) = 3/6 = 1/2

The slope-intercept equation can be rearranged to give the y-intercept:

  b = y - mx

  b = 1 -(1/2)(8) = 1 -4 = -3 . . . . . . using (x, y) = (8, 1)

The slope-intercept form equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

Using the found values, the equation is ...

  y = 1/2x -3

The number of terms in the expression after being simplified and the leading coefficient will be 3 terms and negative 4. Then the correct option is C.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 3x² + 6 + 7x - 4x² + 8 - 3x²

Simplify the expression, then we have

⇒ 3x² + 6 + 7x - 4x² + 8 - 3x²

⇒ - 4x² + 7x + 14

The number of terms in the expression after being simplified and the leading coefficient will be 3 terms and negative 4. Then the correct option is C.

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The probability that the next person will purchase no costume as a percent to the nearest whole number is 36.4%

We should know that probability deals with the chance of occurrence of an event (E)

The given parameters that will help us to get the percentage is

Total number of visitors is 168+252+47

Total number = 462

The probability is = 168/(168+252+47) * 100/1

This implies 168/462 * 100/1

= 13.4 percent

In conclusion, 13% of the visitors will purchase no costume as a percent to the nearest whole number.  

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Answer: The store has a markup percentage of 200%.

Step-by-step explanation: Markup percentage = (selling price - cost price) / cost price x 100%

Markup percentage = (30 - 10) / 10 x 100% = 200%

The store has a markup percentage of 200%. This means that the store has increased the price of the shirts by 200% above the cost price to make a profit.

Answer:

the percent markup is 25%.

Step-by-step explanation:

To find the percent markup, we need to know the difference between the cost price (what the store paid for the shirts) and the selling price (what the store is selling them for), and then divide that difference by the cost price and multiply by 100 to get the percentage.

Cost price = $7200 / 300 = $24

Selling price = $30

Profit = $30 - $24 = $6

Markup = (Profit / Cost price) * 100 = (6/24) * 100 = 25%

So the percent markup is 25%.

The first graph (topmost graph) shows a correlation coefficient closest to -1.

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together.

The -1 correlation coefficient indicates a negative correlation.

Variable y (vertical axis) should decrease as variable x (horizontal axis) increases.

As a result, the graph's gradient is negative and slopes downhill as x rises.

Graph 2 is eliminated (positive correlation approximately 1)

Graph 4 is incorrect as well because there is no association at all. (Points are arbitrary and lack a consistent pattern or trend.)

A negative correlation may be shown in graphs 1 and 3.

On the other hand, graph 3's straight line cannot be precisely drawn because some points are off. (Off somewhat) This graph's correlation is unfavorably skewed but not exactly -1.

Therefore, the first graph's correlation coefficient is the closest to -1.

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Answer:

Step-by-step explanation: The answer is B because a rational number is all numbers in existence and an integer is only positive and negative numbers.

Answer: It would be C

Step-by-step explanation:

80/16= 5oz

Answer:

Step-by-step explanation:

Answer:

-4z

Step-by-step explanation:

-3z - 1z  Combine like terms

-4z

Answer: [tex]\frac{Amount of red cards}{Total cards} *\frac{Amount of black cards}{Total cards}[/tex]

Step-by-step explanation:

You didn't give how many cards there were, but just plug the amounts of cards that you have to get your probability.

Answer:  3/52 probability.

Step-by-step explanation:

You have 6 out of 52 cards that will satisfy the first draw of a red face card (J, Q, K of hearts and diamonds).

In the second draw, you have 26 out of 52 cards (i.e, 1/2) that will be black.

Now, multiply the two answers together, and you have (6/52) times (1/2) = probability of 3 out of 52, or 3/52.

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The values of x for which the function is non-differentiable are given as follows:

The points on a graph that make the function non-differentiable are given as follows:

Hence the non-differentiable points of the function graphed are listed as follows:

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The value of t₀.₀₁ is 3.355. The value 3.355 is rounded to three decimal places.

What is the critical value?

A crucial value is the test statistic's value that establishes a confidence interval's upper and lower boundaries or the level of statistical significance for a given test.

Any member of the family of continuous probability distributions known as the Student's t-distribution in probability and statistics is used to estimate the mean of a normally distributed population when the sample size is small and the population's standard deviation is unknown.

Given the value of v is 8.

Need to find the value of t₀.₀₁ when v = 8.

The value of t₀.₀₁ according to t distribution table is 3.3550.

= 3.355 (nearest to three decimal places)

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A) The function that represents the average of the class is;

y = 65(1.011)^(x)

B) The average of the class after one week will be expressed as;

y = 70.17

The general formula for the nth term of a exponential function is;

y = ab^(x)

where;

a is initial amount

b is growth factor

x is the amount of periods being considered

Now, we are told that the initial score for the exam was 65. Thus;

a = 65

The growth factor is 1.1% and this is; b = 1.011

Thus, the function that represents the average of the class is;

y = 65(1.011)^(x)

The average of the class after one week will be expressed as;

y = 65(1.011)^(7)

y = 70.17

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Answer:

y = -8x + 3

Step-by-step explanation:

b = y intercept

m = slope

y = mx + b

b = 0,3

m = -8
so therefore
y = -8x + 3

Answer:

The contractor made an error in calculating the unit price of the padded work gloves.

Step-by-step explanation:

To find the unit price of an item, we need to divide the total cost of the item by the number of units purchased. In this case, the contractor purchased 7 dozen pair of padded work gloves, which is equal to 7 x 12 = 84 pair of gloves. Therefore, the unit price of the padded work gloves is $103.32 / 84 pair = $1.23 per pair.

The contractor incorrectly calculated the unit price as $14.76, which is an error of $14.76 - $1.23 = $13.53. This error occurred because the contractor did not correctly take into account the number of units purchased when calculating the unit price.

Hope this helps:)

The table with the numeric values of the function y = a/x² is given by the image presented at the end of the answer.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

y = a/x².

When x = 1, y = 100, hence the coefficient a is calculated as follows:

100 = a/1

a = 100.

Meaning that the function is defined as follows:

y = 100/x².

To find the numeric value at x = 2, we replace the lone instance of x by 2, as follows:

y = 100/2² = 100/4 = 25.

The numeric value at x = 5 is then found as follows:

y = 100/5² = 100/25 = 4.

The numeric value at x = 10 is then found as follows:

y = 100/10² = 100/100 = 1.

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Answer:

x + 13 (First option)

Step-by-step explanation:

Given:

Perimeter = 9x + 6

First side = 5x

Second side = 3x - 7

Let the length of the third side be A

Third side = A

Perimeter = First side + Second side + Third side

9x + 6 = 5x + 3x - 7 + A

9x + 6 = 8x - 7 + A

A = 9x + 6 - 8x + 7

A = x + 13

Answer:

Rigid motion.

Step-by-step explanation:

please this was my opinion

Answer:

The first, the third and the fifth figure

Step-by-step explanation:

Volume = Length x width x height

First

3 x 2 x 4 = 24

Second

3 x 2 x 5 = 30

Third

2 x 2 x 4 = 16

Fourth

2 x 3 x 4 = 24

Fifth

2 x 2 x 6 = 24

Answer:

Read below

Step-by-step explanation:

The first prism has 24 unit cubes.

The second has 30

The third has 16

The fourth has 24

The fifth has 24

You have to find the area of the superior blocks and then multiplied for the number of cube units of height.

The first has 6 unit cube because (2 cubes long * 3 cubes widht)* (4 blocks of alture)

6*4 = 24.

The same way for other and then you have that the first, the fourth and fifth have 24 cube blocks each one.

The probability of all three mathematics textbooks ending up in the same box can be written as m/n, where m and n are relatively prime positive integers. Since m and n are positive integers, the sum of m and n is also a positive integer and is equal to 27.

There are 12 textbooks total, 3 of which are mathematics textbooks.

1 box will hold 3 textbooks, 1 box will hold 4 textbooks, and 1 box will hold 5 textbooks.

Therefore, there are 3! (6) ways for the mathematics textbooks to be divided among the boxes.

The probability that all three mathematics textbooks end up in the same box can be written as m/n, where m and n are relatively prime positive integers.

m+n

=6/1=6

Therefore,

m+n

=27.

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The volume of the hemisphere to 1 decimal place is 268.1 cm^3.

Volume is the measure of the amount of space an object occupies or the space something takes up. Volume is typically measured in cubic centimeters, milliliters, liters, gallons, and cubic feet. Volume can also be used to describe the loudness of a sound or the amount of something that is produced. Volume is an important concept in physics and chemistry, as it is related to the properties of matter and energy.

To work out the volume of a hemisphere we can use the formula V = (2/3πr^3). Therefore, in this case, the volume of the hemisphere is (2/3πx8^3) = 268.08 cm^3. Therefore, the volume of the hemisphere to 1 decimal place is 268.1 cm^3.

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1. The math fact completion rate for each student is:

Kiara: m = 5t, where t represents the time in seconds, and m represents the number of math facts completed. Therefore, Kiara's math fact completion rate is 5 math facts per second.

Giovanni: Giovanni's math fact completion rate is 4 math facts per second.

Ebony: Ebony's math fact completion rate is 12 math facts per second.

2. Ebony would win the argument, as she has the highest math fact completion rate.

The shaded part of the model will represent the expression 0.3×7= 2.1 and the total weight of the baseball is 2.1 pounds.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Ken has number of baseballs = 7 and each baseball have a weight is = 0.3 pounds

By unitary method;

If 1 ball = 0.3 pounds

Then, 7 baseball = 7×0.3 pounds

So, the weight of 7 baseballs = 2.1 pounds

We want to use the box to represent this data given in the following question .  

Since, the weight of the baseball is in decimal points

Let 0.1 pounds be 1 Square box.

The weight of one base ball (0.3 pounds), ken should shade 3 Square box.

Since 1 pounds is 1 Square box.

The weight of all the seven base ball (2.1 pounds), he should shade this amount seven times.

Therefore, the shaded part of the model will represent the expression 0.3×7= 2.1 and the total weight of the baseball is 2.1 pounds.

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Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).

For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply

16/81.

1. Start with the expression

(2/3)^4

2. Distribute the exponent of 4 to the numerator and denominator, resulting in

(2^4)/(3^4)

3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)

= (2*2*2*2)/(3*3*3*3)

4. Simplify the expression to 16/81

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If the point (-3, 8) lies on the graph of a power function with an even exponent,  the following points must also lie its graph is (8, -3): Option A

You should understand that a graph is the representation of a function using the graph papers.

It is given that (-3,8) is on the graph of F(x).

x-coordinate = 8, y-coordinate = -2

Interchange the coordinates to find the point which lies on the inverse function F⁻¹(x).

x-coordinate = 8, y-coordinate = -3

Therefore It means (8,-3) must be on the graph of the inverse function F⁻¹(x).

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The direct variation equation that relates x to y is written as y = 6x

If y is directly proportional x. this is written as

y α x

y = mx

where m is the constant of variation

The equation shows that m which the constant of variation is the unit rate. In this case the slope

Hence we can say that the constant of variation in a direct variation equation is equal to the unit rate

when y = 9 and t = 1.5 m s solved to be

9 = 1.5m

m = 9 / 1.5

m = 6

the equation of variation of y is written as y = 6x

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Answer:

± 7x²

Step-by-step explanation:

using the property of radicals

• [tex]\sqrt{ab}[/tex] ⇔ [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex]

given

± [tex]\sqrt{49x^4}[/tex]

= ± ([tex]\sqrt{49}[/tex] × [tex]\sqrt{x^4}[/tex] )

= ± (7 × x² )

= ± 7x²

9n+a-8

=9*(1) + 2 -8

=9+2-8

=3

The simplification of the given expression, 9n+a-8 is 3

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