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Type the correct answer in each box. Round your answers to the nearest hundredth.
This is the original two-way frequency table that describes ninth graders and tenth graders' favorite season of the year.
Based on the table, complete the two-way relative frequency table based on the total number of students surveyed.
Two-Way Frequency Table

8+3=11 6-1=5 11+5=16 5/16

A) 4/7

B) 9/16

C) 4/9

Answer:

I think that yes they are, but I maybe wrong.

Step-by-step explanation:

I believe that this is true because of the Angle-Angle congruence theorem.

Answer:

ur not domb

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rule says that to find the number of years required to double your money at a given interest rate, you just divide the interest rate into 72. For example, if you want to know how long it will take to double your money at eight percent interest, divide 8 into 72 and get 9 years.

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

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Answer:

so the answer goes as stated in the picture my advice is to always work from the middle then subtract outwards

Step-by-step explanation:

The weight of each chair is 7 pounds.

Specific numbers and their computations employing a variety of fundamental arithmetic operations are at the center of arithmetic mathematics. Algebra, on the other hand, deals with the limitations and guidelines that apply to all other types of numbers, including whole numbers, integers, fractions, functions, and so on. Arithmetic math serves as the foundation for algebra, which always adheres to its definition. A large range of subjects fall within the broad definition of mathematics, which encompasses a very broad range of topics. Beginning with the fundamentals like addition, subtraction, and division of numbers, they then move on to more complicated topics like exponents, variations, sequence, progression, and more. This part does touch on some of the mathematical formulas and mathematical sequence. Four essential mathematical operations—addition, subtraction, multiplication, and division—are covered in basic arithmetic.

Total weight = 63 pounds

Weight of the table = 35 pounds

Weight if 4 chairs = 63 - 35

= 28 pounds

Weight of one chair = 28/4

= 7 pounds

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Total machine days are 5 9 = 45 thus, it will take 3 days to complete the same test with 15 machines.

Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.

Another example of work is that if you have done your food by 1 hour it means your work duration is 1 hour so work is basically the time duration of any task which you have done.

As per the given,

5 machines take 9 days,

5 x 9 = 45 machines day

45/15 = 3 days

Hence "Total machine days are 5 9 = 45 thus, it will take 3 days to complete the same test with 15 machines".

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Answer:

d=90 e=99 f=81

Step-by-step explanation:

d is a right triangle so its a 90 degree, e is vertical angle so it would be the same as the one ajacent so its 99. F is a linear pair with e so its 81 because 180-99=81.

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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Option B. When we have negative four and one sixth times negative three and fifteen hundredths, the product is thirteen and one eighth.

We can rewrite  negative four and one sixth times negative three and fifteen hundredths as

\(-4\frac{1}{6} *-3\frac{15}{100}\)

We have to solve this as an improper fraction

-25/6 * -63/20

1575/120

= 13 * 1/8

Hence we can conclude that when we have negative four and one sixth times negative three and fifteen hundredths, the product is thirteen and one eighth.

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The slope of the given data is 25.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Jon paid $200 for 8 classes at gold dawn yoga studio.

the cost, y, is proportional to the number of classes purchased, x

The slope will be cost of each class

200/8=25

So the equation will be y=25x

25 is the slope.

Hence, the slope of the given data is 25.

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1.  Elijah is the smallest sibling among his brother who is 4 years older than her and Bryan is the eldest sibling who is twice as James, what is his age of James if the sum of their ages is 80 years?

2. If the equation in step B had been 2(x + 4) = 80,  the changed statement would be Bryan is 80 years old.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Here we are converting a numerical expression into a statement.

Given,

Step A

Let x = Elijah’s age.

x + 4 = James’s age

2(x +4) = Bryan’s age.

Step B

x + x + 4 + 2(x +4) = 80.

Step C 4x + 12 = 80

X = 17

Step D James is 21.

The verbal problem to the algebra test can be stated as

Elijah is the smallest sibling among his brother who is 4 years older than her and Bryan is the eldest sibling who is twice as James, what is the age of James if the sum of their ages is 80 years?

If the equation in step B had been 2(x + 4) = 80,  the changed statement would be Bryan is 80 years old.

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Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Answer:

no yes also

Step-by-step explanation:

fkelcan,.bex

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

The coordinates of the new position are

(x, y, z) = (7, 0, -9)

Step-by-step explanation:

So assuming a 3D plane x, y, z

The starting point is the origin that is

(x, y, z) = (0, 0, 0)

Move a distance of 7 units along the positive x-axis

(x, y, z) = (7, 0, 0)

Then move a distance of 9 units downwards along the z-axis

downward = negative and upward = positive

(x, y, z) = (7, 0, -9)

Therefore, the coordinates of the new position are

(x, y, z) = (7, 0, -9)

Refer to the attached plot where the above coordinates are plotted on a 3D surface using an online 3D plotter.

Each small box corresponds to 1 unit.

The larger integer number is 18 and the smaller integer number is -14.

Integers are the subset of Rational numbers which contains all numbers except fraction and decimals

Numbers are the building blocks of mathematics. Numbers are used to count ,measure or label quantities.

The different types of numbers are:

Let the smaller number be x. The sum of the numbers is 4 .

So the larger number is 4 - x

Again given that sum of three times the larger number and 2 times the smaller number is 26.

∴3 ( 4-x )+ 2x = 26

or, 12 -3x +2 x = 26

or, -x = 26-12

or, x = -14

Therefore the larger number is 4-(-14)= 18

Hence the larger integer number is 18 and the smaller number is -14 .

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The solution to the given integration problem is;

\(\frac{[(x^{2} + 1)x^{\frac{3}{2} } *(3x^2 - 2)]}{15} + C\)

We want to integrate the function x³[√(x² + 1)dx]

This is expressed as;

∫x³[√(x² + 1)dx]

Preparing for substitution we have;

∫2x[x²√(x² + 1)/2dx]

Make u = x²

du/dx = 2x

dx = (1/2x) du

Thus, we now have;

¹/₂∫u√(u + 1)du

¹/₂∫(u^(3/2) - √u) du

Applying power rule and solving this gives us;

\(\frac{(x^2 + 1)x^{\frac{5}{2} } }{5} - \frac{(x^2 + 1)x^{\frac{3}{2} } }{3}\)

= [(x² + 1)^(3/2) (3x² - 2)]/15 + C

Thus, that is the solution of solving the integration problem.

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The amount you have after 18 months is $ 1143.96 .

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

\(A=P {(1 +\frac{r}{n})^{nt} }\)

Given:

P = 1000 , r in decimal  = 0.09 ,

n = 12 ,  t = 1.5 ( 18 months = one and a half years).

Substituting the values into the formula:

A = 1000 ( 1 + 0.09/ 12 ) ^[12 ( 1.5 )]          

  ≈ 1000 ( 1.143960 )          

  = 1143.960

Rounding to the nearest cent, we get $ 1143.96 .

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The equation that shows a pair of equivalent ratios that can be used to find the unknown is \(\frac{22}{1} =\frac{x}{3}\)

From the question, we are to determine which equation shows a pair of equivalent ratios that can be used to find the unknown

In the given table, the unknown is x

Consider the given values in the table,

The equation that shows a pair of equivalent ratios that can be used to find the unknown is

\(\frac{22}{1} =\frac{x}{3}\)

Hence, the equation that shows a pair of equivalent ratios that can be used to find the unknown is \(\frac{22}{1} =\frac{x}{3}\)

Here is the complete question:

A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship. Gas Mileage Distance Traveled (miles) Gasoline Used (gallons) 22 1 44 2 x 3 88 4. Which equation correctly shows a pair of equivalent ratios that can be used to find the unknown.

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Answer:

The length of the rectangle is of 9 units.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}\)

\(\bigtriangleup = b^{2} - 4ac\)

Area of a rectangle:

A rectangle has width \(w\) and length \(l\). The area is the multiplication of these measures, that is:

\(A = wl\)

The length of a rectangle is the sum of the width and one.

This means that \(l = w+1\), or \(w = l - 1\)

The area direct angle 72 units. What’s the length, in units, of the rectangle

We want to find the length. So

\(wl = 72\)

\((l-1)l = 72\)

\(l^2 - l - 72 = 0\)

Quadratic equation with \(a = 1, b = -1, c = -72\). So

\(\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289\)

\(l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9\)

\(l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8\)

Since the length is a positive measure, the length of the rectangle is of 9 units.

Answer:

Step-by-step explanation:

x + x + 1 + x + 2 = 219

→ 3x + 3 = 219

→ 3x = 219 - 3

→ 3x = 216

→ x =  

→ x = 72

∴ 1st natural number → x

→ 72

∴ 2nd natural number → x + 1

→ 72 + 1

→ 73

∴ 3rd natural number → x + 2

→ 72 + 2

→ 74

Answer:

Solve \((x) + (x + 1) + (x + 2) = 219\) to get \(x = 72\). Therefore, the numbers are 72, 73 and 74.

Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

x²

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

Answer:

Step-by-step explanation:

First you need to find a common denominator which in this case it 10

*Remember that whatever you do to thee bottom you need to do to the top*

3/10 - 3/10

2/5 = 4/10

1/2= 5/10

So the order is

Katrina - 3/10

Jackie - 4/10

Molly - 5/10

Hope this helped

Answer:

pqn = str

it is option B

hope it helps

Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches