Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x – 6y = -42

We are given that there are 112 sixth graders .

In order to estimate the 47% let us first find the following :

10 % of 112 is about 11.2 , we get this by saying

10 /100 x 112 = 0.1 * 112 = 11.2.

so, if 10 % is 11.2 ; then

20 % is 11.2 x 2 = 22.4

30 % is 11.2 x 3 = 33.6

40 % is 11.2 x4 = 44.8

50 % is 11.2 x 5 = 56

Now lets make an estimation :

since we have 40 % = 44.8 and 50 % = 56 ,

47 % is much more closer to 50 % than it is to 40 %

Therefore, 47 % will be around 56 sixth graders .

Answer:

C=100+50t

y=100

Step-by-step explanation:

The last answer is "the one time joining fee" hope this helps

Answer:

7 × 10⁴ (option D.)

Step-by-step explanation:

Take the missing value as 'x'.

5 × 10³ + x = 7.5 × 10⁴

x = (7.5 × 10⁴) - (5 × 10³)

x = (7.5 × 10000) - (5 × 1000)

x = 75000 - 5000

x = 70000

x = 7 × 10⁴ (option D.)

______

Hope it helps ⚜

\(5 \times {10}^{3} + ....... = 7.5 \times {10}^{4} \)

the true equation

let the unknown be y

\(y = (7.5 \times {10}^{4} ) - (5 \times {10}^{3} )\)

\(y = (7.5 \times 10000) - (5 \times 1000)\)

\(y = 75000 - 5000\)

\(y = 70000\)

\(y = 7 \times {10}^{4} \)

therefore, the correct answer is option D

Answer:

4

Step-by-step explanation:

According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."

First, find the cost of how much fence Mary needs per side.

10 * 5 = 50

10 * 5 = 50

6 * 5 = 30

6 * 5 = 30

Second, add all together.

50 + 50 + 30 + 30 = 160

Therefore, the total cost of the fence will be $160.

Best of Luck!

Answer:  -2x + 5y = 8

Step-by-step explanation:

Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y

Substitute the values of x and y from the given coordinate  (6,4) to find the new constant, b, the y-intercept.

-2x + 5y = b

-2(6) + 5(4) = b

-12 + 20 = b

8 = b

Rewrite the original equation substituting the new b for the original -15

-2x + 5y = 8

The two numbers among them are such that one divides the other.

The Collection of well-defined objects or elements is known as a set. The objects in a set are called elements. The Set contains a finite number of elements. The Set is denoted by any capital letter like A, B etc. Elements of the set can be numbers, alphabets etc.

The elements of the set are listed inside the curly brackets { ..... }. There are various types of sets. Cardinal number or cardinality denotes the number of elements in the set. Cardinality is denoted by n( X ) where X is a set. The number of subsets of the set is given by 2^n.

As per the question,

Let us divide the set into two sets,

                A   =   { 1, 3 . . . . . n }    and   B   =   { 2, 4 . . . . . . 2n }

A and B contain the same number of elements i.e. two sets have equal sizes. Element of B is one of the elements of A multiplied by 2 or elements of B multiplied by 2. So, if we remove the powers of 2 i.e we divide each element by \(2^{k}\). Then there exist another 2 sets \(A ^{'}\) and \(B^{'}\) such that \(A ^{'}\) U \(B^{'}\) = \(A ^{'}\) .

By using the pigeonhole principle, \(A ^{'}\) consists of n elements and we add +1 to it additionally.

Therefore, When we are given n + 1 numbers from set { 1, 2 . . . .  2n }, there are two numbers among them such that one divides the other.

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Answer:

303

Step-by-step explanation:

Step-by-step explanation:

When rounding a decimal to the nearest whole number, we look at the tenths place. If it is {5,6,7,8,9} we round the ones place up. If it is {0,1,2,3,4} the ones place stays the same.

For 302.833, the tenths place is 8.

Therefore we round 302.833 up to 303.

The answer is 303.

Answer:

24.75FT

Step-by-step explanation:

The triangles in the picture are similar meaning that 36/8=4.5

66inches into ft = 3.5

3.5x4.5=24.75

Answer: C. 24.75 ft

Step-by-step explanation:

• Set up the proportion.

• Cross multiply.

• Complete the multiplication on the left side.

• Divide both sides by 100.

• Complete the divisions on both sides.

Answer:

15+2x=-23

Step-by-step explanation:

Answer:

15+2x=-23  

Step-by-step explanation:

The Institutional Research department likely needs a more sophisticated statistical software tool, such as R, SAS, or Stata, to analyze and visualize the data they gather on campus.

The Institutional Research department at the university is responsible for gathering and analyzing a vast amount of data from different areas of the campus, including enrollment, retention rates, graduation rates, student demographics, faculty research, budget and finance, and more.

While spreadsheets are an excellent tool for organizing and storing data, they may not be sufficient for analyzing the data, identifying trends, and making data-driven decisions.

To take full advantage of the data, the Institutional Research department will likely require a more sophisticated statistical tool.

A statistical tool will allow the department to perform more complex analyses, such as regression analysis, hypothesis testing, and forecasting. Statistical software such as R, SAS, and Stata are popular choices for advanced data analysis in academic institutions.

Another important consideration is the ability to generate meaningful visualizations of the data.

Data visualization tools such as Tableau, Power BI, and QlikView can help the department create interactive dashboards and charts that communicate insights and trends to a broader audience.

In summary, the Institutional Research department requires a more sophisticated statistical tool to analyze and visualize the data. The tool should have the ability to handle large datasets, perform advanced statistical analyses, and generate informative visualizations.

Ultimately, the right tool will help the department make data-driven decisions that improve the university's overall performance.

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Answer:

m(DE) = 90°

Step-by-step explanation:

Since both circles are equal, therefore, their radius would be equal too.

m<S = 180 - right angle (angles on a straight line)

m<S = 180 - 90 = 90°

m<R = m<S (congruent triangles)

m<R = 90°

m<R = m(DE) (central angle = intercepted arc based on the central angle theorem)

Substitute

90° = m(DE)

m(DE) = 90°

The Series in summation notation with the given starting index 1 is:

Σ[(-1)^(k+1) * (2k - 1 + -(5k + 1))]

The alternating series 1, 11, -1, 1, -10, 12, 68 using summation notation, we need to determine the pattern and establish the starting and ending values. Let's break down the given series:

1, 11, -1, 1, -10, 12, 68

We can observe that the pattern alternates between positive and negative terms. Additionally, the values seem to follow a certain sequence. Let's assign a variable to represent the index of the series, which we'll call k.

For positive terms, the values seem to be increasing: 1, 11, 12. This suggests that we can express the positive terms as a function of k:

Positive terms: f(k) = 2k - 1

For negative terms, the values seem to be decreasing: -1, -10, -68. This suggests that we can express the negative terms as a function of k:

Negative terms: g(k) = -(5k + 1)

To alternate between positive and negative terms, we can use the (-1)^(k+1) term, where (-1) is raised to the power of (k+1). This will give us either 1 or -1, depending on the value of k.

Putting all these elements together, we can express the series using summation notation:

Summation notation: Σ[(-1)^(k+1) * (f(k) + g(k))]

where the summation index k starts from 1 and goes to infinity.

Therefore, the series in summation notation with the given starting index 1 is:

Σ[(-1)^(k+1) * (2k - 1 + -(5k + 1))]

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That is a parabola.

All domain of a parabola are, (-∞,∞).

The range would be, (-∞, 0]

The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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Answer:

one dvd costs $21

Answer:

-211

Step-by-step

Answer:

Flynn stays at the trampoline park for an additional 3 hours.

Step-by-step explanation:

30 - 12 = 18

18 / 6 = 3

As for the "Select the equation that represents the given situation" I don't know what this really means so I didn't do that. Sorry.

Answer:

if you dont know the answer you can downlode the brainly app and take pics of your work and it will translate the answer

Step-by-step explanation:

Answer:

the answer is 4 units im pretty sure

Step-by-step explanation:

The height of the prism is 6 units.

The correct option is C.

A prism is a polyhedron in three dimensions with two identical ends.

To find the height of the prism, we need to use the formula for the volume of a prism, which is:

Volume = Base area x Height

Since the prism has two congruent hexagonal bases, we can find the base area by adding the areas of the two congruent isosceles trapezoids.

The area of an isosceles trapezoid is given by the formula:

Area = ((b1 + b2) / 2) x h

where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.

In this case, the two parallel bases have lengths of 5 and 8, and the height of each trapezoid is 3, so the area of one trapezoid is:

Area = ((5 + 8) / 2) x 3 = 19.5 square units

The base area of the prism is then:

Base area = 2 x 19.5 = 39 square units

We are given that the volume of the prism is 234 cubic units, so we can use the formula for the volume of a prism to find the height:

Volume = Base area x Height

234 = 39 x Height

Height = 6 units

Therefore, the height of the prism is 6 units.

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Answer:

length is 19 width is 15

Step-by-step explanation:

The area of the classroom floor in the scale drawing is 247 square inches.

The area of Rectangle is length times of width.

We need to find the scale of the drawing, which is the ratio of the length in the drawing to the actual length:

19 inches / 38 feet = 0.5 inches/foot

Now we can use the scale to find the dimensions of the classroom floor in the scale drawing:

Length in scale drawing = Actual length ×  Scale

Width in scale drawing = Actual width ×  Scale

Length in scale drawing = 38 feet ×  0.5 inches/foot = 19 inches

Width in scale drawing = 26 feet ×  0.5 inches/foot = 13 inches

So the dimensions of the classroom floor in the scale drawing are 19 inches by 13 inches.

To find the area in square inches, we can multiply the length by the width:

Area in scale drawing = Length in scale drawing × Width in scale drawing

= 19 inches× 13 inches

= 247 square inches

Therefore, the area of the classroom floor in the scale drawing is 247 square inches.

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Answer:

£320 000

Step-by-step explanation:

Let x = original price of the boat.

When you reduce a price by 15%, what percent remains in the sale price?

100% - 15% = 85%

After reducing the price of the boat by 15%, the sale price is 85% of the original price.

85% of x = £272 000

0.85x = 272 000

Divide both sides by 0.85

x = 320 000

Answer: £320 000

Problem Solving and Data Analysis, Heart of Algebra, and Passport to Advanced Mathematics are three additional topics in math that are part of the SAT Math section. These topics cover various concepts and skills that are essential for solving complex mathematical problems and analyzing data effectively.

Problem Solving and Data Analysis: This topic focuses on the ability to interpret and analyze real-world scenarios, solve problems using quantitative reasoning, and apply mathematical models to data. It includes concepts such as ratios, proportions, percentages, statistics, data interpretation, and data representation.

Heart of Algebra: This topic emphasizes algebraic concepts and skills, particularly those related to linear equations, linear inequalities, and systems of linear equations. It involves understanding and solving equations, manipulating algebraic expressions, graphing linear functions, and solving word problems using algebraic methods.

Passport to Advanced Mathematics: This topic builds upon the foundational algebraic skills and extends into more advanced mathematical concepts. It covers topics such as quadratic equations, exponential and logarithmic functions, radicals and rational exponents, polynomial operations, and complex numbers. It also involves solving higher-order equations, understanding function transformations, and applying algebraic concepts in various contexts.

These topics are important for SAT Math because they assess a student's ability to apply mathematical knowledge and problem-solving strategies to real-world situations. Familiarity with these topics enables students to analyze data, reason quantitatively, solve complex algebraic problems, and make connections between different mathematical concepts.

In conclusion, Problem Solving and Data Analysis, Heart of Algebra, and Passport to Advanced Mathematics are key topics in the SAT Math section. Mastering these topics is essential for achieving a high score on the SAT and for developing strong problem-solving and data analysis skills in mathematics.

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Answer:

C, 18

Step-by-step explanation:

Buy 3, get 1 free.

Buy 6, get 2 free.

Buy 9, get 3 free.

Buy 12, get 4 free.

Buy 15, get 5 free.

Buy 18, get 6 free.  

Answer:18 but that think says i have incorrect words or smtn

3x=1y 18x=6y

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

3Justin's estimated Vo2 max is 25.8(mL*kg*min)

What is Vo2 max ?

 The amount (volume) of oxygen used by your body while exercising as hard as you can is referred to as VO2 max. It's a common tool for determining your level of fitness. Knowing your VO2 max can assist you in training for sports, tracking fitness progress, and improving your heart health.

Here using vo2 max fomula 1.5 miles ,

=> VO2 max = 3.5+483/Time

Here Time= 11 min 25 sec = 25/60 = 0.41 min

Then time=11.42 mins. Now,

=> VO2 max = 3.5+ 483/11.41

=> VO2 max = 3.5+42.3

=>VO2 max = 25.8(mL*kg*min)

Hence His estimated Vo2 max is 25.8(mL*kg*min)

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Answer:

11.625

Step-by-step explanation:

By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

To show that (0,1) and R have the same cardinality, we can apply the Schroder-Bernstein theorem, which states that if there exist injective functions from set A to set B and from set B to set A, then A and B have the same cardinality.

First, we can define a function from (0,1) to R by using a bijection. For example, we can use the function f(x) = tan[(πx - π/2)].

This function maps each value in the interval (0,1) to a unique real number in R. Since the tangent function is injective in the interval (-π/2, π/2), the function f(x) is also injective.

Next, we can define a function from R to (0,1) by using the inverse of the tangent function. For example, we can use the function g(x) = (π/2 + arctan[x])/π.

This function maps each real number to a unique value in the interval (0,1). The function g(x) is also injective since the inverse of the tangent function is injective.

By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.

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Let's call L the length of the rectangle and W the width of the rectangle

We know the length is 3 times its width:

L = 3W

The area of a rectangle is:

A=L*W

Substituting the condition above, we have:

A = (3W)*W

Operating:

We know the area is 147 yd^2, so we equate:

Solve for W:

Taking the square root on both sides:

The width is 7 yd. Now we can easily find the length:

L=3W=3*7=21 yd

Finally, we calculate the perimeter of the rectangle. Recall the perimeter is calculated with the formula:

P=2L+2W

Thus, using the known values:

P=2*21+2*7=42 + 14 = 56 yd

The perimeter of the rectangle is 56 yd