A 7th grade homeroom was asked if they would
prefer a hamburger, pizza, or hot dog. Calculate
the relative frequency ( or experimental
probability) of choosing a hot dog using this
chart.
12%
20%
16.7%
1.66 %

[tex]-5x-3 = 2\\-5x=5\\x = -1[/tex]

Now plug the x value into 9x + 2

[tex]9(-1)+2) = -7[/tex]

Hope that helps!

Answer:

156

Step-by-step explanation:

A problem like this can be solved using multiplication. If each row has 13 seats and there are 12 rows you can get the total amount of seats by multiplying 13x12.

Answer:

11.8° and 78.2°

Step-by-step explanation:

let the angles be x and x + 66.4

complementary angles sum to 90° , then

x + x + 66.4 = 90

2x + 66.4 = 90 ( subtract 66.4 from both sides )

2x = 23.6 ( divide both sides by 2 )

x = 11.8 and

x + 66.4 = 11.8 + 66.4 = 78.2

The 2 angles are 11.8° and 78.2°

Credit is the money you borrow from the bank. and you need to pay in time with interest.

Answer:

  A) x = 2; y = 2; (m, n) = (1/2, 0); (p, q) = (-3/2, 12)

  B) K; A and E

  C) 11

Step-by-step explanation:

With the exception of the vertical line, the equations of the lines can be written in terms of their slope and y-intercept. The slope is the ratio of "rise" to "run". The "rise" is the vertical change between points, and the "run" is the horizontal change between the same points. Changes to the right or up are taken as positive. The change amounts can be read from the graph by counting grid squares, or by subtracting coordinate values.

The regions described by an inequality will be to the right of a boundary line for x > (boundary), and above the boundary line for y > (boundary). When these inequalities are reversed, the region will be left or below the boundary, respectively.

__

The slope-intercept equation for a line is ...

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

(i) x = 2 . . . . . . points on the vertical line have an x-value of 2

(ii) y = 2 . . . . . 0 slope, y-intercept of 2

(iii) m = 1/2, n = 0 . . . . rise = 1 for run = 2; y-intercept = 0

(iv) p = -3/2, q = 12 . . . . rise = -3 for run = 2; y-intercept = 12

__

(i) Region K is to the right of the vertical line, and above the two slanted lines

(ii) Regions A and E are below y=2 and the two slanted lines

__

The maximum value of x+y will be found at the point on the line x+y=c, where c is the largest possible value. That is, it will lie on the line ...

  y = -x +c . . . . a line with a slope of -1

such that the line is as far as possible from the origin.

For region G, the point that maximizes "c" in the above equation is point (2, 9), so ...

 c = x +y = 2 +9 = 11

The maximum value of (x+y) in region G is 11.

The perimeter of the rectangle is 46[tex]\frac{1}{3}[/tex] yds.

Perimeter is the total distance around an object.

To calculate the perimeter of the rectangle, we use the formula below.

Formula:

Where:

From the diagram in the question,

Given:

Substitute these values into equation 1

Hence, The perimeter of the rectangle is 46[tex]\frac{1}{3}[/tex] yds.
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Answer:

(9, - 9 )

Step-by-step explanation:

P (2, 3 ) → P' (5, - 4 )

2 → 5 in the x- direction is + 3

3 → - 4 in the y- direction is - 7

translation rule is then (x, y ) → (x + 3, y - 7 ) , so

(6, - 2 ) → (6 + 3, - 2 - 7 ) → (9, - 9 )

Answer:

5x^2 - 8x - 32

Step-by-step explanation:

Area of rectangle = base x height

Area of larger rectangle = (3x - 8)(2x + 4)

                                        = 6x^2 - 4x - 32

Area of smaller rectangle = (x + 4)x

                                           = x^2 + 4x

Area of shaded region = area of larger rectangle - area of smaller rectangle

                                      = (6x^2 - 4x - 32) - (x^2 + 4x)

                                      = 5x^2 - 8x - 32

Answer:

29

Step-by-step explanation:

5x5=25

25+4=29

First for 5 times 5 u do 5x5=25 and for (5x5) plus four u add 4 to the answer of 5 times five which makes 29.

Answer:

The answer is 29

Step-by-step explanation:

5 times 5 plus 4

5 × 5 + 4

Use BODMAS

(Bracket of Division, Multiplication, Addition and Subtraction)

(5 × 5) + 4 = 25 + 4 = 29

Thus, The answer is 29

-TheUnknownScientist 72

Answer:

5

Step-by-step explanation:

The whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers. Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B).

It is given that the ratio is,

(10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹)

We have to apply the arithmetic operation for the given ratio in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

[tex]=\frac{10^{2000}+10^{2002}}{10^{2001}+10^{2001}} \\\\ =\frac{10^{2000}(1+100)}{10^{2000}(10+10)} \\\\ =\frac{101}{20} \\\\=5[/tex]

Thus, the whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.

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Answer:

160

Step-by-step explanation:

First, create an equation to show the number of books per hour.

6x=96

Divide each side by 6

x=16

Then, multiple 16 by 10 to get the total cartons packed in 10 hours.

16x10=160

Answer:

12ft.

If the real length was 15 but is 5 down in the drawing that means the scale is 3ft to every inch. (15/5 =3).

With that said the width of the drawing is 4 inches. 4 x 3 = 12..

The width of the real pool would be 12 ft.

Answer:

3/7

Step-by-step explanation:

there are a total of 14 crayons in the box.

The probability of choosing a red crayon is 4/14 and the probability of choosing a yellow crayon is 2/14

The probability of choosing either red or yellow is the sum of those two fractions which gets you 6/14 which equals 3/7

Answer:

to solve for k we will put y=6

Answer:

120 miles

Step-by-step explanation:

15 x 8 = 120 miles

Answer:

145°

Step-by-step explanation:

180° - 35°

Answer:

1

Step-by-step explanation:

Answer:

A, x < 12

Step-by-step explanation:

edge

Answer:

[tex]\textsf{c)} \quad |3x+12|=\begin{cases}3x+12 \; &\text{if}\;x > -4\\0 \; &\text{if} \; x=-4\\-3x-12\; &\text{if}\;x < -4\end{cases}[/tex]

[tex]\textsf{d)} \quad |(x-19)+11|=\begin{cases}x-8\; &\text{if}\;x > 8\\0 \; &\text{if} \; x=8\\8-x \; &\text{if}\;x < 8\end{cases}[/tex]

[tex]\textsf{e)} \quad |14-(x-6)|=\begin{cases}x-20 \; &\text{if}\;x > 20\\0 \; &\text{if} \; x=20\\20-x \; &\text{if}\;x < 20\end{cases}[/tex]

[tex]\textsf{f)} \quad |14-(6-x)|=\begin{cases}x+8 \; &\text{if}\;x > -8\\0 \; &\text{if} \; x=-8\\-x-8 \; &\text{if}\;x < -8\end{cases}[/tex]

Step-by-step explanation:

The absolute value parent function, f(x) = | x |, is defined as:

[tex]f(x)=\begin{cases}x \; &\text{if}\;x > 0\\0 \; &\text{if} \; x=0\\-x\; &\text{if}\;x < 0\end{cases}[/tex]

Therefore:

Its graph is V-shaped and has the following properties:

Given absolute value expression:

[tex]|3x+12|[/tex]

Simplify the given expression:

[tex]\implies |3x+12|=|3(x+4)|=3|x+4|[/tex]

Set the simplified absolute value expression to zero and solve for x:

[tex]\begin{aligned}\implies 3|x+4|&=0\\|x+4|&=0\\x+4&=0\\x&=-4\end{aligned}[/tex]

Therefore, the vertex of the graph of the given absolute expression is (-4, 0).

Therefore, the slope of the expression will be positive for values of x greater than -4, and negative for values of x less than -4.  Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:

[tex]|3x+12|=\begin{cases}3x+12 \; &\text{if}\;x > -4\\0 \; &\text{if} \; x=-4\\-3x-12\; &\text{if}\;x < -4\end{cases}[/tex]

Given absolute value expression:

[tex]|(x-19)+11|[/tex]

Simplify the given expression:

[tex]|(x-19)+11|=|x-19+11|=|x-8|[/tex]

Set the simplified absolute value expression to zero and solve for x:

[tex]\begin{aligned}\implies |x-8|&=0\\x-8&=0\\x&=8\end{aligned}[/tex]

Therefore, the vertex of the graph of the given absolute expression is (-8, 0).

Therefore, the slope of the expression will be positive for values of x greater than 8, and negative for values of x less than 8. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:

[tex]|(x-19)+11|=\begin{cases}x-8\; &\text{if}\;x > 8\\0 \; &\text{if} \; x=8\\8-x \; &\text{if}\;x < 8\end{cases}[/tex]

Given absolute value expression:

[tex]|14-(x-6)|[/tex]

Simplify the given expression:

[tex]|14-(x-6)|=|14-x+6|=|20-x|[/tex]

Set the simplified absolute value expression to zero and solve for x:

[tex]\begin{aligned}\implies |20-x|&=0\\20-x&=0\\x&=20\end{aligned}[/tex]

Therefore, the vertex of the graph of the given absolute expression is (20, 0).

Therefore, the slope of expression will be positive for values of x greater than 20, and negative for values of x less than 20. Set the expression inside the absolute value sign to negative and positive to find the two expressions with positive and negative slopes:

[tex]|14-(x-6)|=\begin{cases}x-20 \; &\text{if}\;x > 20\\0 \; &\text{if} \; x=20\\20-x \; &\text{if}\;x < 20\end{cases}[/tex]

Given absolute value expression:

[tex]|14-(6-x)|[/tex]

Simplify the given expression:

[tex]|14-(6-x)|=|14-6+x|=|x+8|[/tex]

Set the simplified absolute value expression to zero and solve for x:

[tex]\begin{aligned}\implies |x+8|&=0\\x+8&=0\\x&=-8\end{aligned}[/tex]

Therefore, the vertex of the graph of the given absolute expression is (-8, 0).

Therefore, the slope of expression will be positive for values of x greater than -8, and negative for values of x less than -8.  Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:

[tex]|14-(6-x)|=\begin{cases}x+8 \; &\text{if}\;x > -8\\0 \; &\text{if} \; x=-8\\-x-8 \; &\text{if}\;x < -8\end{cases}[/tex]

Answer:

x=13

Step-by-step explanation:

3x=2x+21−8

3x=2x+13

3x−2x=13

x=13

Answer:

x = 13

Step-by-step explanation:

3x + 8 = 2x + 21

x + 8 = 21

x = 13

Answer:

C&E

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 ) , then

• if a > 0 then the graph opens upward

• if a < 0 then the graph opens downward

----------------------------------------------------------------

A y = - x² + 9x with a < 0 then opens downward

B y = 10x - 5x² with a < 0 then opens downward

C y = (2x - 1)² = 4x² - 4x + 1 with a > 0 then opens upward

D y = (1 - x)(2 + x) = 2 - x - x² with a < 0 then opens downward

E y = x² - 8x - 7 with a > 0 then opens upward

Answer:

B

Step-by-step explanation:

if angle A. and angle B are supplementary

the sum of 2angles ,

angle A + angle B =180 ,

if angle A is less than the angle B

in mathematics form,

let's angle A=X and angle B =X-40

then

angle A+ angle B =180

or, X+ (X - 40)=180

or, 2X=220

or, X=110

The Highest Common Factor (HCF) of 18, 36 and 120 is 6.

A factor is a number that divides another number, leaving no remainder.

Given that, we need to find HCF of 18, 36 and 120.

Finding Factors :-

18 = 2 × 3 × 3

36 = 2 × 2 × 3 × 3

120 = 2 × 2 × 2 × 3 × 5

Common factors = 2 and 3

Therefore,

Highest Common Factor = 2 × 3 = 6

Hence, the Highest Common Factor (HCF) of 18, 36 and 120 is 6.

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Answer:

corresponding angles . the answer

Answer:

corresponding angles

Step-by-step explanation:

its called the corresponding angles and are equal value

Answer:56m^2

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

6(x+2)=3(2x+3)

6x + 12 = 6x + 9

0 = -3

no solution when there are different numbers on either side of the equal sign

infinite is when there is the same number on either side of the equal sign like 0 = 0

The equation that represents the amount of soil, s in cubic centimeters the ferret can dig from the burrow in m minute is as follows:

s = 93m

One of the ferrets digs 465 cubic centimeters of soil from a burrow in 5 minutes.

The digging rate can be calculated as follows;

A rate is a ratio between two related quantities in different units. Therefore,

rate = 465 / 5 = 93 cubic centimetres per minutes.

Therefore, the equation that represents the amount of soil, s in cubic centimeters the ferret can dig from the burrow in m minute is as follows:

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#A

Produced energy

[tex]\\ \rm\Rrightarrow 3.9(10^33)(2.45)(10^5)=9.56(10^38) ergs[/tex]

#B

7.4×10^4mm

shorter is more preferable

Answer: y=-4x+2

Step-by-step explanation: