Which mathematical equation correctly represents the statement, 6 less than twice the difference of a number and 8 is equal to 14?

Answer:

x = 12

Step-by-step explanation:

Supplementary angles add up to 180 degrees therefore (6x + 48) and 60 should add up to 180. Like this:

6x + 48 + 60 = 180

Now solve:

6x + 48 + 60 = 180

6x + 108 = 180

6x = 72

x = 12

Therefore, the answer is x = 12.

I hope this helps!!

- Kay :)

Answer: x=12

Step-by-step explanation:

6x + 48 + 60 = 180

6x + 108 = 180

6x = 72

x=12

Answer:

q = 4.9

m∠R = 27.1°

m∠S = 136.9°

Step-by-step explanation:

To solve the triangle we will use the cosine rule and the sine rule

In the given triangle

∵ q is the opposite side of ∠Q

∵ s is the opposite side of ∠S

∵ r is the opposite side of ∠R

∵ m∠Q = 16°

∵ r = 8 and s = 12

→ By using the cosine rule to find q

∴ q² = r² + s² - 2 r s cos∠Q

→ Substitute the values of r, s, and ∠Q in the rule above

∵ q² = (8)² + (12)² - 2(8)(12)cos(16°)

∴ q² = 23.43775438

→ Take √ for both sides

∴ q = 4.841255455

→ Round it to the nearest tenth

∴ q = 4.9

→ To find angles R and S we will use the sine rule

∵ [tex]\frac{r}{sin(R)}[/tex] =[tex]\frac{q}{sin(Q)}[/tex] = [tex]\frac{s}{sin(S)}[/tex]

→ Use the first two ratios to find m∠R

∵ [tex]\frac{8}{sin(R)}[/tex] = [tex]\frac{4.841255455}{sin(16)}[/tex]

→ By using cross multiplication

∴ 4.841255455 × sin(R) = 8 × sin(16)

→ Divide both sides by 4.841255455

∴ sin(R) = 0.4554807874

→ Use [tex]sin^{-1}[/tex] to find m∠R

∵ m∠R =  [tex]sin^{-1}[/tex] (0.4554807874)

∴ m∠R = 27.0958732

→ Round it to the nearest tenth

∴ m∠R = 27.1°

∵ The sum of the measures of the angle in a triangle is 180°

∴ m∠S + m∠Q + m∠R = 180°

→ Substitute the values of m∠Q and m∠R

∵ m∠S + 16° + 27.1° = 180°

∴ m∠S + 43.1 = 180

→ Subtract 43.1 from both sides

∴ m∠S = 136.9°

Answer:

The range of the function should be:

-9 ≤ y ≤ 5

Hence, option D is true.

Step-by-step explanation:

We know that the set of values of the dependent variable for which a function is defined.

From the given function, we can easily observe that the graph is kind of oscillating between the y-value y = 5 and y = -9.

i.e.

at y = 5, the graph gets its maximum value

at y = -9, the graph gets its minimum value

Thus, the range of the function should be:

-9 ≤ y ≤ 5

Hence, option D is true.

Answer:

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

x = 4

y = -7 or (-7, 4)

Step-by-step explanation:

y = -2x + 1

4x + y = 9 replace y in the second equation with (-2x + 1) since y is equal to it

4x + (-2x + 1) = 9 add like terms

2x + 1 = 9 subtract 1 from both sides

2x = 8 divide both sides by 2

x = 4 since y = -2x + 1 replace x with the value we found

y = (-2) × 4 + 1 = -7

Answer:

Equation: [tex]2(x+8)+2(3x-5)+23 = 126[/tex]

[tex]x = 12.125[/tex]m

[tex]AB = 20.125[/tex]m

[tex]EF=31.375[/tex]m

Step-by-step explanation:

The equation of the perimeter of this shape can be written as:[tex]2(x+8)+2(3x-5)+23 = 126[/tex] (Sides with the same number of dashes are equal in length)

Which becomes:

[tex]2x+16+6x-10+23=126[/tex]

[tex]8x+29=126[/tex]

[tex]8x=97[/tex]

[tex]x= 12.125[/tex]

Since AB = [tex]x+8[/tex], we can substitute to get the length of AB:

[tex]x+8 = 12.125+8[/tex]

[tex]=20.125[/tex]

We can also use substitution to solve for the length of EF:

[tex]3x-5=3(12.125)-5[/tex]

[tex]=31.375[/tex]

Hope this helps :)

Answer:

7

Step-by-step explanation:

Answer:

19 fiction books

7 nonfiction books

Step-by-step explanation:

your welcome if it helped

Step-by-step explanation:

All you have to do is do 15 times 5 = 75

Answer:

I'm pretty sure its 75 cause 15 x 5 is 75

Step-by-step explanation:

a)There are 200 students who attended the survey.

b)There are 18 students who prefer the gym in the morning.

c)There are 38 grade 10 students who participated in the survey.

d)There are 110 student students who prefer to have a gym in the afternoon.

A data table is a piece of writing made up of rows, columns, and cells that each contain a particular value. They keep data that people can access later and update as required.

The given data is shown in table,

The data table's title, column headers, and row headers can all aid a user in better comprehending the data in the table. Data tables present information in a format resembling a grid with rows and columns.

To enable users to find patterns and draw conclusions from data, they arrange information in ways that are simple to scan.

Thus, there were 200 students who participated in the poll, 18 of whom preferred the gym in the morning, 38 grade 10 students, and 110 of them preferred to have a gym in the afternoon.

Learn more about the table here,

https://brainly.com/question/10670417

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Answer:

c = 2

Step-by-step explanation:

3 - (2c - 8) = 7

3 - 2c + 8 = 7

-2c + 11 = 7

-2c = -4

c = 2

hope this helps, pls mark brainliest :D

Answer:

8

Step-by-step explanation:

Given that:

Eddie has gone to Luke Base Air Force Show.

Total money available with Eddie = $55

Admission cost = $5

Cost of each soda = $6.25

To find:

The greatest number of sodas that can be bought by Eddie ?

Solution:

Let the greatest number of sodas that can be bought by Eddie = [tex]x[/tex]

Now, the total money spent by Eddie will be equal to the admission fee and the cost for buying the [tex]x[/tex] number of sodas.

Cost for [tex]x[/tex] number of sodas = Cost of one soda multiplied by [tex]x[/tex] = $6.25 [tex]\times x[/tex]

Writing equation as per given statement:

Total money = $55

[tex]55 = 5 +6.25x\\\Rightarrow 6.25x = 55-5\\\Rightarrow 6.25x = 50\\\Rightarrow x = \dfrac{50}{6.25}\\\Rightarrow \bold{x = 8}[/tex]

Therefore, a maximum of 8 number of sodas can be bought.

Answer:

1st box(the top one in the middle row): 5^4-5 = 5^-1

2nd box(the top one in the last row): 5*5*5*5/5*5*5*5*5 = 1/5

3rd box(the bottom one in the middle row): x^-6

4th box(the bottom one in the last row): x/x*x*x*x*x*x*x=1/x^6

Answer:

I forgot what complementary means but it's either 3 or 5, probably 3

Step-by-step explanation:

Answer:

knew Orleans

Step-by-step explanation: i think i'm not really sure

Based on the table, Phoenix has the highest temperature in January. Therefore, the correct option is option C among all the given options.

The physical concept of temperature indicates in numerical form how hot or cold something is. A thermometer is used to determine temperature. Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points including thermometric substances.

The most popular scales are the Kelvin scale (K), which is mostly used for scientific purposes, the Celsius scale (°F), as well as the Celsius scale, which has the unit symbol °C. Based on the table, Phoenix has the highest temperature in January.

Therefore, the correct option is option C.

To know more about temperature, here:

https://brainly.com/question/23411503

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Answer:

add 44 and 21 and you will get the answer

Answer:

y = -3/2x+2

Step-by-step explanation:

The slope for a slope equation is y = mx+b

Since it's decreasing from left to right the first part of the equation (mx) is -#x. The second part of the equation (+b) will be +2 because the y-intercept is (0,2). If it were a negative # then it would be -7, or -4, or - whatever.

Now you have to find the slope. To find the slope simply do y1-y2/x1-x2 or y2-y1/x2-x1. Let's follow this equation. say that (2,-1) is 1 and (4,-4) is 2.

-1+4/2-4 = 3/-2 = -3/2. The equation would be y = -3/2x +2. Let's check our work by substituting  our variables with numbers using the set (2,-1). Pleases tell me if I'm wrong or if this is confusing.

Answer:

280 mins

Step-by-step explanation:

Step-by-step explanation:

Notice that:

1 * 4 = 4,

4 * 4 = 16,

16 * 4 = 64.

Each term is 4 times of the previous term.

Hence the next term would be 64 * 4 = 256.

Answer:

it is D

Step-by-step explanation:

___________________________________________________________

Answer:

When converting a fraction to a decimal, the numerator is the dividend.

___________________________________________________________

Answer:

A. 3

B. 2.825

Step-by-step explanation:

Data obtained from the question include:

Number of bedrooms (x) > Frequency(f)

1 >>>>>>>>>>>>>>>>>>>>> 5

2 >>>>>>>>>>>>>>>>>>>> 10

3 >>>>>>>>>>>>>>>>>>>> 15

4 >>>>>>>>>>>>>>>>>>>> 7

5 >>>>>>>>>>>>>>>>>>>> 3

Mode =?

Mean average of bedrooms =.?

A. Determination of the modal average of bedroom.

The mode of a given set of data is the the value with the highest frequency.

Considering the table given in the question above, we can see clearly that 3 has the highest frequency. Hence 3 is the modal average of the bedroom is 3

B. Determination of the mean average of bedroom.

Mean = Σfx / Σf

Σfx = (1×5) + (2×10) + (3×15) + (4×7) + (5×3)

Σfx = 5 + 20 + 45 + 28 + 15

Σfx = 113

Σf = 5 + 10 + 15 + 7 + 3

Σf = 40

Mean = Σfx / Σf

Mean = 113 / 40

Mean = 2.825

Therefore, the mean average of bedroom is 2.825

Answer:

19w^2-m

Step-by-step explanation:

4w^2-m+15w^2

19w^2-m

The second bracket becomes 15w^2 because it's a negative number multiplied by -1

(4w^2-m)+15w^2

19w^2-m

Answer:

9 degrees

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

You can see that 5x - 7 and 2x + 2 are equal to each other due to the arrows pointing to both angles. Therefore allowing you to set up the following equation..

5x - 7 = 2x = 2

Therefore you can then simplify for the value x where you should get teh value 3.

Answer:

g(x) + f(x) = -2x³ + 4x + 4

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = 2x + 4

f(x) = -2x³ + 2x

Step 2: Find g(x) + f(x)