Reason Abstractly Determine if the
statement is true or false. Justify your
response.
The point (1, r) on the graph of a proportional
relationship shows the unit rate r.

Answer:

2x - 4

Step-by-step explanation:

10x - 4 ( 2x + 1 )

= 10x - 8x - 4

= 2x - 4

Answer:

x=19

Step-by-step explanation:

9*(9+15)=8*(8+x)

9*(24)=8(x+8)

216=8x+64

216-64=8x+64-64

152=8x

152/8=8x/8

19=x

x=19

Answer: the cost for Internet increase by 5/4 per minute

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Consecutive interior angles are supplementary:

  (6x +6)° +(3x -15)° = 180°

  9x -9 = 180 . . . . . . . . . . . . . . simplify, divide by °

  x -1 = 20 . . . . . . . . . . . . divide by 9

  x = 21

__

Angles of a linear pair are supplementary:

  (3x -15)° +(y +18)° = 180°

  3(21) -15 + y + 18 = 180 . . . . substitute for x, divide by °

  y = 114 . . . . . . . . . . . . . . . . . . subtract 66

The number of people who bought fewer than 30 items exists 204.

The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.

Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.

As opposed to bar charts, which show categorical variables, histograms visualize quantitative or numerical data. Typically, a histogram's numerical data will be continuous (having infinite values).

Number of people who bought fewer than 30 items

= (0.14 + 0.12 + 0.24)400

= 0.51 x 400 = 204

Therefore, the correct answer is option B) 204.

The complete question is:

The histogram shows the number of items that customers bought during a trip to the grocery store one day. Four hundred customers took a trip to the grocery store that day. Which is the best estimate for the number who bought fewer than 30 items during their trip?

A) 278

B) 204

C) 148

D) 106

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Answer:

1. 4x - 29=11

2. (3x - 4) (2) = 46

3. 3/5x + 8 = 50

4. The difference of 51 and the sum of x and 5.

5. The product of 3 and y minus eight.

Step-by-step explanation:

Answer:

43%

Step-by-step explanation:

calculate percentage as

( number of students in athletics team ÷ total students ) × 100%

= ( 86 ÷ 200) × 100%

= 0.43 × 100%

= 43%

Answer:

7/25 is correct answer dude

Using factorization method to solve the quadratic equation, the number of seed Martha and Miguel donated are 5 and 10 respectively

A quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are constants, and x is an unknown variable. The solution to such an equation is a value of x that will make the equation true.

To determine the number of seeds they donated, we have to write two equations and solve.

data;

The product of the seeds is (2x - 3)(4x - 6) = 8x² - 24x + 18

This can be written as

8x² - 24x + 18 = 50

Solving the quadratic equation;

8x² - 24x + 18 - 50 = 0

8x² - 24x - 32 = 0

Using factorization method;

8(x - 4)(x + 1) = 0

x - 4 = 0, x = 4

x + 1 = 0, x = -1

x = 4, x = -1

The number of packs Martha donated is

Martha = 2x - 3 = 2(4) - 3 = 5

The number of packs Miguel donated is

Miguel = 2 * 5 = 10

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Answer:

1.73

Step-by-step explanation:

Arelli use 6.9 pints of white and blue paints for her bedroom

3/4 of this amount is white

3/4

= 0.75×100

= 75

100-75

= 25

Amount of blue paint is

25/100×6.9

= 0.25×6.9

= 1.73

Answer:

B . 1/2

Step-by-step explanation:

In this situation each experiment does not affect the probability of the next one. That is, each experiment is independent of the rest. Hence, independently of the result of the first 100 times the next probability in which Celine does the experiment, the propability will be 1/2.

On solving the provided question, we can say that - equation  at factors  x= -3 that value of a is = 33

A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.

4x^2 + 5x - 8

x = -3

36 + 15 -8

33

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The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.

What is the percentage function?

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100. Example: 2/5 × 100 = 0.4 × 100 = 40 per cent.

The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function:

P(x) = 31 + 2.6x

Where P(x) is the percentage of adults who viewed college education as essential for success x years after the first year, and x is the number of years after the first year.

The function shows that the percentage increase by 2.6 every year for x years after the first year, and the initial percentage is 31%.

This function is representing a linear trend since the coefficient of x is constant.

Hence, The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.

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Answer:

Step-by-step explanation:

6

The number of packages of 5 wheels can be made from the 30 wheels is 6.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time.

Now, number of packages of 5 wheels

= 30/5

= 6

Therefore, the number of packages of 5 wheels can be made from the 30 wheels is 6.

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A. Triangle ABC is similar to triangle DEF.

B. The value of x is 21.

What are similar triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are items that feature more than two figures that are the same shape but different sizes.

Here, we have

Given a triangle and we have to show both triangles are similar.

A. ABC will be similar to DEF if two sides along with their corresponding angle of ABC is equal to two sides and their corresponding angle of DEF. ABC will be similar to DEF if the corresponding ratios of all sides of both triangles are equal to each other.

Hence, triangle ABC is similar to triangle DEF.

B. By the property of similar triangles,

= AB/DE = AC/DF

= 14/x = 10/15

x = 21.

Hence, the value of x is 21.

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Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.

A mathematical equation seems to be a formula that links two statements and signifies equivalence with the equals sign (=). In algebra, a scientific claim that confirms the equality two two mathematical abstractions is referred to as an equation. For instance, the answer obd + 6 = 12 has an equal sign between the elements ptdc + 6 and 12, respectively. There is a mathematical formula that describes the connection between the two syllables on either side of a letter. Frequently, the symbol and the single variable are the same.

Here,

f(x)=2x-5 and t(n)=2n-5 are given.

A) They both depict the sequence.

B) Unless the expression is undefined, the domain of both the expression seems to be all real numbers. In this instance, the phrase is defined despite the lack of a real number.

(−∞,∞) is an interval notation.

{x|x ∈ R} is the Set-Builder Notation.

Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.

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Answer:

-30

Step-by-step explanation:

-1x/5 = 6

-x/5 = 6

-x = 30

x = -30

Answer: all angles must ad up 20 180

Step-by-step explanation:

I looked it up

Answer: She should buy 3 bottles

Step-by-step explanation: 1 quart = 4 cups. 4x3=12

Answer:

3,4,5,6,..................any number bigger than 3 can be taken as the answer

Answer: 3 and 4

Step-by-step explanation:

2(3) - 3

6 - 3 = 3

3 > 1

2(4) - 3

8 - 3 = 5

5 > 1

Answer:

48 units.

Step-by-step explanation:

Since the triangles are similar (proportional), their dimensions are increased at the same ratio at any point, which means their perimeter too. So the base of the larger triangle is twice as long as the base of the smaller triangle.

The perimeter of the smaller triangle is 10 + 6 + 8 = 24 units.

24 * 2 = 48. Because the ratio of increase is 2:1 from the bigger triangle to the smaller triangle.

Hope you could understand this,

Answer:

-7/5

Step-by-step explanation:

(1-8)/(7-2)= -7/5

Answer:-1.4

Step-by-step explanation: The slope or gradient is given by

Slope=y2-y1÷x2-x1.

From the problem

X1=7

Y1=1

X2=2

Y2=8

Thus we will have

Slope=(8-1)÷(2-7)

=7÷(-5)

=-1.4

Answer: 907.46 inches squared

Step-by-step explanation:

The formula for the area of the circle is:

[tex]A = \pi r^{2}[/tex]

In this question, pi is 3.14. The radius of a circle is half of its diameter. So:

[tex]\frac{34}{2} =17[/tex]

Plug these values into the equation:

[tex]A = (3.14)(17)^2[/tex]

Simplify:

[tex]A = 907.46[/tex]

The area of the circle is 907.46 inches squared.

Answer:

(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−

4

1

)−12(−1)

2

]−5[24+2(−12)]

2

Do the arithmetic.

Calculate -1−1 to the power of 22 and get 11.

-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

1

−12)−5(24+2(−12))

2

Subtract one term from another.

Subtract 1212 from -\frac{1}{4}−

4

1

to get -\frac{49}{4}−

4

49

.

-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

49

)−5(24+2(−12))

2

Multiply two factors together.

Multiply -2−2 and -\frac{49}{4}−

4

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}

2

49

−5(24+2(−12))

2

Multiply two factors together.

Multiply 22 and -12−12 to get -24−24.

\frac{49}{2}-5\left(24-24\right)^{2}

2

49

−5(24−24)

2

Subtract one term from another.

Subtract 2424 from 2424 to get 00.

\frac{49}{2}-5\times 0^{2}

2

49

−5×0

2

Multiply two factors together.

Multiply 55 and 00 to get 00.

\frac{49}{2}-0

2

49

−0

Add two terms together.

Subtract 00 from \frac{49}{2}

2

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}

2

49

2

49

=24.5

(b)−a

2

b

2

−3a

3

b

2

a=−

3

1

b=−1

Step-by-step explanation:

Hope it helps u

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Answer:

I would say the answer would be 1350 because 15 percent of $9000 would be 1350