The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years

Answer:

50%

Step-by-step explanation:

75/150 = x/100

x = 50

Answer:

50%

explanation

half of 150 is 75(75x2)

Answer:

14 - medium sodas and 18 - large sodas

Step-by-step explanation:

x+y = 32 (the amount of medium and large sodas add up to 32)

3.00x + 4.00y = 114 (the cost of each soda = the amount of money made)

x = 32-y (isolate x and subsitiue it into the following equation)

3x+4y=114 --> 3(32-y) + 4y = 114

96 - 3y + 4y = 114

y=18

plug in 18 in to this equation x = 32-18, x=14

Answer:

125 cm3

Step-by-step explanation:

V = l * w * h

V = 5 * 5 * 5

V = 125 cm3

Answer:

125 cm^3

Step-by-step explanation:

To calculate the area of a cube, just do the side length to the power of 3.

5^3=125

Answer:

x =  11

Step-by-step explanation:

Lines are parallel.   5x + 10 and 10x + 5 are supplements of each other.

Move  5x+ 10 to the corresponding position on the figure.  It will be next to 10x + 5 and form a linear pair with 10x + 5.  A linear pair form a straight angle or two supplementary angles.  Supplementary angles = 180°

Therefore  5x +10 + 10x + 5 = 180°

                   15x  + 15 = 180°

                      15x = 180 - 15

                         15x = 165

                           x =  11

Answer:

inequality form: x<-7 or x> 17

Step-by-step explanation:

Answer: 16.2

Step-by-step explanation:

i used the calculator

Answer:

So x=2.32956156226

Step-by-step explanation:

First subtract 1 on both sides

2^3x=127

Now you can rewrite this as

(2^3)^x

As it still equals the same thing

Now 2^3 is 8

So the equation is now

8^x=127

So we use log formula

log8 127=x

So how many times do we have to multiply 8 by itself to get 127?

The answer is: 2.32956156226

Hope this helps!

Answer:

7.2

Step-by-step explanation:

20/12 = 12/x

20x = 144

x = 144/20

x = 7.2

Check to make sure your answer is right:

20/12 = 1.66666666667

12/7.2 = 1.66666666667

Answer:

10x - 2y

Step-by-step explanation:

simplify the expression.

8x–2y + x + x

combine numbers that have the same variables

8x + x + x

*those x have 1 coefficient each.

it will be 8x+1x+1x = 10x then –2y

10x–2y.

Hope it helps :)

Answer:

D

Step-by-step explanation:

I think you meant to put the answers as a fraction

Answer:

if there were slashes in between every answer, the answer would be

D. 2/3

Step-by-step explanation:

m = y2-y1 / x2-x1  (slope formula)   ⋅the two points i used were: (0,-3) and (3,-1)

m = -1-(-3) / 3-0 (plug in the points)

m = -1+3 / 3-0

m = 2/3 (Simplify to get your answer)

Answer:

Step-by-step explanation:

10x-13=17x-41

DO YOUR WORK

[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]

2d +9= 19

The solution is d =

[tex]{\huge{\boxed{\mathbb{ANSWER\:WITH\:EXPLANATION}}}[/tex]

Hello there, first we can place our equation, which you have stated

[tex]2d+9=19[/tex], this algebra, in algebra we want to find the exact value of the variable, or have the variable on one side of the equation.

First we can subtract [tex]9[/tex] with both sides of the equation giving us the result of [tex]2d=10[/tex], this can also be represented as [tex]2\cdot d=10[/tex], now just divide both sides of the equation by [tex]2[/tex], our answer is [tex]d=5[/tex].

_____________________

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

_____________________

Answer:

[tex]2sec^2xtanx[/tex]

Step-by-step explanation:

[tex]\frac{d}{dx} tan^2x[/tex]

[tex]\frac{d}{dx} tanxtanx[/tex]

[tex](\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)[/tex]

[tex]\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]

[tex](sec^2x)(tanx)+(tanx)(sec^2x)[/tex]

[tex]2sec^2xtanx[/tex]

Helpful tips:

Product Rule: [tex]\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)[/tex]

Quotient Rule: [tex]\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}[/tex]

Pythagorean Identity: [tex]cos^2x+sin^2x=1[/tex]

Answer:

Step-by-step explanation:

The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.

Answer:

= - 1/2

Step-by-step explanation:

6y+6.7=2.(y-3)

6y+42=2.(y-3)

6y+42=2y+2.-3

6y+42=2y-6

4y=-48

4y/4 = -48/4

y=-48/4

y=-12.4/1.4

y= -12

Answer:

  y = -12

Step-by-step explanation:

Generally, the first step is to eliminate parentheses.

  6y +42 = 2y -6

Now, you have a 3-step equation. I generally start by subtracting the variable term with the lowest coefficient. That leaves a variable term with a positive coefficient.

  4y +42 = -6 . . . . . . subtract 2y from both sides (step 1)

Now, you want to eliminate the constant from the side of the equation that has the variable term. Add its opposite.

  4y = -48 . . . . . . . . . add -42 to both sides (step 2)

Finally, you divide by the coefficient of the variable.

  y = -12 . . . . . . . . . . divide both sides by 4 (step 3)

The solution is y = -12.

_____

Additional comment

As you can see, the general approach is to obtain the variable on one side of the equation and a constant on the other side. You do this by performing the same math operation to both sides of the equation.

Here, we notice that the values outside parentheses are multiples of each other, so we can start by dividing by 2

  3(y +7) = y -3 . . . . . . divide both sides by 2

  3y +21 = y -3 . . . . . . . eliminate parentheses

Now, we can do steps 1 and 2 at the same time, by adding -21-y to both sides. This gets rid of unwanted variables and constants in one step. (Your teacher may want you to show separate steps.)

  (3y +21) +(-21 -y) = (y -3) +(-21 -y)

  2y = -24 . . . . . . . . . simplify

  y = -12 . . . . . . . . . . . divide by the coefficient of the variable (step 3)

Answer:

5.15

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

5.4 = 5.40

 5.40

- 0.25

= 5.15

because 0.40 - 0.25 = 0.15

1. True

2. False

3. True

4. False

Rounding represents replacing a numeral with an approximate value that includes a shorter, easier, or more explicit representation.

Rounding suggests making a number simpler but keeping its value close to what it existed.

Hence,

1. True

2. False

3. True

4. False

To learn more about rounding refer to:

https://brainly.com/question/27207159

#SPJ2

Answer:

Danny's offer is cheaper

Step-by-step explanation:

Danny is offering 36$ for 4 hours meaning you would do 36÷4=9 (9$ per hour)

Martin is offering 54$ for 3 hours so 54÷3=18 (18$ per hour)

Or the faster way of finding why is Danny is offering more hours for cheaper

Hope this helps

Answer:

The following table lists the value of functions ggg and hhh, and of their derivatives, g'g  

′

g, prime and h'h  

′

h, prime, for x=3x=3x, equals, 3.

xxx g(x)g(x)g, left parenthesis, x, right parenthesis h(x)h(x)h, left parenthesis, x, right parenthesis g'(x)g  

′

(x)g, prime, left parenthesis, x, right parenthesis h'(x)h  

′

(x)h, prime, left parenthesis, x, right parenthesis

333 ~~9  9space, space, 9 ~~~0   0space, space, space, 0 -15−15minus, 15 ~~~6   6space, space, space, 6

Let function GGG be defined as G(x)=2g(x)-h(x)+8G(x)=2g(x)−h(x)+8G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.

G'(3)=G  

′

(3)=G, prime, left parenthesis, 3, right parenthesis, equals  

Step-by-step explanation:

Answer:

42x - 54 I think

Step-by-step explanation:

Just simplify it  

Answer:

P = 106

A = 330

Step-by-step explanation:

= 2(l+w) (perimeter of rectangle)

= 2·(18+15)

= 66

picture below of perimeter of right angle triangle

Add both values

P= 66 + 40

P = 106

= w*l (Area of rectangle)

=15·18

= 270

= ab/2 ( Area of triangle )

= 8·15/2

=60

Add both values

A = 60 + 270

A = 330

I hope it helps

Answer:

[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)

Step-by-step explanation:

Point-slope equation is:  [tex]y-y_1=m(x-x_1)[/tex]

If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:

[tex]y-11=m(x+2)[/tex]

And of course we need to replace m with our slope:

[tex]y-11=\frac{4}{3}(x+2)[/tex]

Answer:

V=0

Step-by-step explanation:

9V + 19 =19

9V=19-19

9V=0

V=0

Answer:

Step-by-step explanation:

We assume the figure is a parallelogram, so the sum of the marked angles is 180°.

  2y +(7y +9) = 180

  9y +9 = 180 . . . . . . . simplify

  y +1 = 20 . . . . . . . . . divide by 9

  y = 19

m∠BCD = 2y° = 38°

m∠ABC = (7y+9)° = (7·19 +9)° = 142°

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation and x is the raw score.

Given that μ = 6.4, σ = 1.7

For x = 5:

z = (5 - 6.4) / 1.7 = -0.83

For x = 10:

z = (10 - 6.4) / 1.7 = 2.12

a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797

b)  P( x < 5) = P(z < -0.83) = 0.2033

c)  P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Find out more on Z score at: https://brainly.com/question/25638875

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]

[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]

The cook needs to add 21.3 ounces of water to obtain the concentration

The cook has 32 ounces of 5% apple cider vinegar.

The total apple cider vinegar the cook has is:

[tex]Total = 32 \times 5\%[/tex]

[tex]Total = 1.6[/tex]

Let the quantity of water be x.

To dilute 3% apple cider vinegar, the cook would make use of the following equation

[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]

So, we have:

[tex]Total = 3\%\times (32 + x)[/tex]

Substitute 1.6 for total

[tex]1.6= 3\%\times (32 + x)[/tex]

Divide both sides by 3%

[tex]53.3=32 + x[/tex]

Subtract 32 from both sides

[tex]53.3-32= x[/tex]

[tex]21.3= x[/tex]

Rewrite as:

[tex]x = 21.3[/tex]

Hence, the cook needs to add 21.3 ounces of water

Read more about concentration at:

https://brainly.com/question/25833493

Answer:

x=12

Step-by-step explanation:

you need the x alone so you substract 3 from both sides.

Then you have, -x= -12

You need the x positive so you change the sign for it but as it is an equation you need to do the same thing on the other side, making both sides positive.

x=12

Answer: i hope it was helpful

Step-by-step explanation:

The ball will appear normal or fully blown up with air. It will bounce like a normal ball that is inflated well. The ball will appear deformed and deflated.