Solve the equation:

1/6(6x−12)=−13−(x−3)

Answer:

$12

Step-by-step explanation:

First you make an equation-

Since she spent half of her allowance at the movies it should start with x/2. Then you add the extra money she made. This should equal $14.

Equation: x/2 + 8 = 14

Solve

x/2 + 8 = 14

Subtract 8 from both sides

x/2 = 6

Multiply each side by 2.

x= 12

Answer:

h= -6

Step-by-step explanation:

-8-h=2(-.5h+4)

-8-h=h+4

-2h=12

h=-6

Given :

[tex]C(\dfrac{5}{3},-6)\ , \ B(\dfrac{8}{3},4)[/tex] .

B is the mid-point of AC .

To Find :

The missing endpoint if B is the midpoint of AC.

Solution :

Let , coordinate of point A is ( h, k) .

So , mid-point B is given by :

[tex](\dfrac{\dfrac{5}{3}+h}{2},\dfrac{-6+k}{2})[/tex]

Comparing above point with [tex]B(\dfrac{8}{3},4)[/tex] , we get :

[tex]\dfrac{\dfrac{5}{3}+h}{2}=\dfrac{8}{3}\\\\h+\dfrac{5}{3}=\dfrac{16}{3}\\\\h=\dfrac{11}{3}[/tex]        [tex]\dfrac{-6+k}{2}=4\\\\k=14[/tex]

Therefore , the value of point A is [tex](\dfrac{11}{3},14)[/tex] .

Hence , this is the required solution .

Answer:

104 ft^2

Step-by-step explanation:

area of rectangle = 8 × 10 = 80

area of triangle = 1/2 × 6 × 8 = 24

∴total area = 104 ft^2

Answer:

R = [tex]\frac{NP+C}{N}[/tex]

Step-by-step explanation:

Given

P = R - [tex]\frac{C}{N}[/tex] ( multiply through by N to clear the fraction )

NP = NR - C ( add C to both sides )

NP + C = NR ( divide both sides by N )

[tex]\frac{NP+C}{N}[/tex]

Answer:

x=1/35

Step-by-step explanation:

Answer:

The graph that shows the solution to -3x-7<20 is B

Answer:

Width =15

Length =33

Step-by-step explanation:

Take width as x

And length as 2x+3

Perimeter as 96

Formula of the perimeter of a rectangle is 2l+2w

X+×+2×+3+2×+3=96

6x+6=96

6x=96-6

6×=90

X=15

Width =x and x =15 so width =15 while length =33

Answer:

AC= 8cm....(d1)

BD=12cm....(D2)

Step-by-step explanation:

BD=12cm....(D2)

Area of rhombus when diagonals are given=>

So According to the formula =>

Perimeter of rhombus formula when diagonals are given =

=> d1×d2

=> 8×12=96cm²

Answer: 2,3,4

Step-by-step explanation:  Which means that the first number is 2, the second number is 2 + 1 and the third number is 2 + 2. Therefore, three consecutive integers that add up to 9 are 2, 3, and 4.

Answer:

23/18

Step-by-step explanation:

Answer:

23/18 or 1 and 5/18

Step-by-step explanation:

7/9+1/2 can't be directly added, so you must find the lowest-common-denominator, which is 18 (multiplying the denominators gets you this number.) You then change the factors to have the common denominator of 18, which would be 14/18 and 9/18. From here, you just simply add those two numbers together.

Given:

The polynomial is

[tex]14x^{19}-9x^{15}+11x^4+5x^2+3[/tex]

To find:

One term which is used to add in given polynomial to make it into a 22nd degree polynomial.

Solution:

Degree of a polynomial is the highest power of the variable.

Let,

[tex]P(x)=14x^{19}-9x^{15}+11x^4+5x^2+3[/tex]

Here, the highest power of x is 19, so degree of polynomial is 19.

To make it into a 22nd degree polynomial, we need to need a term having 22 as power of x.

We can add [tex]kx^{22}[/tex], where k is constant.

So add [tex]x^{22}[/tex] in the given polynomial.

[tex]P(x)=x^22+14x^{19}-9x^{15}+11x^4+5x^2+3[/tex]

Now, the degree of polynomial is 22.

Therefore, the required term is [tex]x^{22}[/tex].

The required polynomial to a 22nd degree is [tex]P(x)=x^{22}+14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex]

Given the polynomial function, [tex]14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex],, we are to add one term to the polynomial to make it into a 22nd-degree polynomial.

Note the highest and leading power of the variable of any function is the degree of such function.

To convert the given polynomial to a 22nd-degree function, we will simply add a variable term x with a degree of 22 to have:

[tex]P(x)=x^{22}+14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex]

Hence the required polynomial to a 22nd degree is [tex]P(x)=x^{22}+14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex]

Learn more here: https://brainly.com/question/2706981

Answer:

4x+10=6x-20

4x-6x=-20-10

2x=-30

x=-30÷2

x= -15

X0= 1

X-2= 1/4

X-1= -1/2

X1= -2

X2= 4

Answer:

Hi there!

Your answer is:

One piece of metal is equal to 3/8ths of a pound or 6ounces

Step-by-step explanation:

3lbs / 8 pieces

One piece of metal is equal to 3/8ths of a pound or 6ounces

Answer:

she get paid for 192 dollars for 4 hours

Answer:

40% were early admission tickets

Step-by-step explanation:

1.[tex]\frac{8}{20}[/tex]= 0.40 = 40%

Answer: positive

Step-by-step explanation:

Answer:      zero slope

Step-by-step explanation:  zero slope

[tex]\bf Step-by-step~explanation:[/tex]

Remember: A coefficient is usually a constant quantity placed before multiplying in algebra. They are usually just numbers.

Since 19 in 19 - 3x is the number here, the coefficient is 19.

[tex]\large\boxed {\bf Our~final~answer:~19}[/tex]

Answer:

6300

Step-by-step explanation:

T = 3 1/2 = 7/2

R = 3% = 3/100

P = 60,000

I = PRT

I =60,000×3/100×7/2

I =6300

6.34 where 4 is repeating is rational no. because all the nos. which have repeating and terminating decimals can be rationalised.

An irrational no. is a number which has non repeating and non terminating decimal part.

According to the given question 6.34 the 4 repeating rational or irrational.

6.34 where 4 is repeating can be written as

6.3[tex]\overline{4}[/tex] to write this decimal in fractional form we write 6 + (9's for every repeating digit and 0 for every non repeating digit in the denominator and we subtract the non repeating part from the whole decimal part).

∴ 6.3[tex]\overline{4}[/tex] can be written as 6 + (34-3)/90 which is

= 6 + 31/90

= (540 + 31)/90

= 571/90.

learn more about irrational numbers here :

https://brainly.com/question/17450097

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Answer:

52 m

Step-by-step explanation:

Area of the path is the difference of the of full area and the area of the garden.

Full area will have the sides:

Area of the garden is

So the difference is:

The length of the garden is 52 m

Answer:

a stamp is a really small object and in order for it to be measured accurately you should use a smaller measure hence milliters

Answer:

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Prime factorization: 48 = 2 x 2 x 2 x 2 x 3, which can also be written 48 = 2⁴ x 3.

Hoped I helped

Answer:

17%

Step-by-step explanation:

Answer:

r = 4,2 cm

Step-by-step explanation:

El área de una pelota es la siguiente:

[tex] A = 4\pi r^{2} [/tex]   (1)

En donde:

A: es el área superficial = 216 cm²

r: es el radio =?

Resolviendo la ecuación (1) para r podemos determinar el radio de cada pelota:

[tex] r = \sqrt{\frac{A}{4\pi}} = \sqrt{\frac{216 cm^{2}}{4\pi}} = 4,2 cm [/tex]

Por lo tanto, el radio de cada pelota es de 4,2 cm.

Espero que te sea de utilidad!

Answer:

The Mean is 3

Step-by-step explanation:

For future reference, here's how to solve the mean.

1.Add up all data values to get the sum

2.Count the number of values in your data set  and divide the sum by that number.

In this problem, there are 5 values, and all the values added together equals 15. Divide 15 by 5 and you get 3. The mean is 3.

Answer::Chris it’s double the amount of hotdogs as Kelvin

Kelvin is half as many hotdogs is Chris

Chris eats 2x

Kevin eats x