The Hornes buy a trampoline with a regular price of $495.00. It is on sale for 20% off the regular price. After calculating the sale price, they use a coupon for $35.00 off. The salesperson then adds a sales tax of 7%. What is the final price of the trampoline?

Answer:

x = -0.6

solving steps:

[tex]\sf \rightarrow 2\left(x+1\right)-4x=3x+5[/tex]

remove the parenthesis

[tex]\sf \rightarrow 2x+2\right)-4x=3x+5[/tex]

group the variables

[tex]\sf \rightarrow 2x-4x-3x\right)=5-2[/tex]

simplify

[tex]\sf \rightarrow -5x\right)=3[/tex]

change sides

[tex]\sf \rightarrow x\right)=\dfrac{3}{-5}[/tex]

answer in fraction

[tex]\sf \rightarrow x\right)=-\dfrac{3}{5}[/tex]

answer in decimals

[tex]\sf \rightarrow x\right)=-0.6[/tex]

Answer:

[tex]x=-0.6[/tex]

Step-by-step explanation:

[tex]2\left(x+1\right)-4x=3x+5\quad :\quad x=-\frac{3}{5}\quad \left(\mathrm{Decimal}:\quad x=-0.6\right)[/tex]

[tex]2\left(x+1\right)-4x=3x+5[/tex]

[tex]2(x+1)-4:-2x+2[/tex]

[tex]-2x+2=3x+5[/tex]

[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+2-2=3x+5-2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x=3x+3[/tex]

[tex]\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x-3x=3x+3-3x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-5x=3[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]

[tex]\frac{-5x}{-5}=\frac{3}{-5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-\frac{3}{5}[/tex]

~Learn with Lenvy~

Answer:

20 yards

Step-by-step explanation:

i got 100 0n the quiz

Answer:

Step-by-step explanation:

∠E = ∠G

∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x

5x+2x+12=180

7x=168

X=24

Solution 2:

2*5x+2*(2x+12)=360

10x+4x+24=360

14x=360-24=336

X=336/14

X=24

Answer:

[tex]{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{☺☺Hope\ it\ helps\ you}}}}}}}}}}}}}[/tex]

A/Q

5x+2x+12=180(Sum of adjacent angles is 180)

=>7x+12=180

=>7x=180-12

=>x=168/7

Hence,x=24....

Answer:

x≤−8

Step-by-step explanation:

2x+3≤x−5

Step 1: Subtract x from both sides.

2x+3−x≤x−5−x

x+3≤−5

Step 2: Subtract 3 from both sides.

x+3−3≤−5−3

Answer is

x≤−8

Answer:

i’m pretty sure the answer is y=3/4x-13/4

Step-by-step explanation:

Answer:

£5.95

Step-by-step explanation:

To find the cost of 12 DVDs, let x = 12

C(12) = 0.35 x 12 + 1.75

C(12) = 4.2 + 1.75

C(12) = 5.95

The cost of manufacturing 12 DVDs is $5.95.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, the cost of manufacturing a single DVD is represented by C(x) = 0.35x+ 1.75.

When, x=12

C(12)=0.35×12+1.75

C(12)=5.95

Therefore, the cost of manufacturing 12 DVDs is $5.95.

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Answer:

The distributive property

Step-by-step explanation:

It says

[tex]a(b+c)=a(b)+a(c)[/tex]

I hope you understand the generalization of the property.

Answer:

The clerk is wrong because the total cost per map is $24.59

Step-by-step explanation:

since you know that you spent $73.77 for 3 maps you can set up the equation 73.77 = 3X (where x = cost per map)

once you divide 73.77 by 3 you get 24.59 and that equals the price per map

if it was like the clerk said and each map was 2.45 then the total cost shoud have been 7.35.

By using the general equation for a circle, we will see that the correct options are:

For a circle of radius R and center (a, b), the equation is given by:

(x - a)^2 + (y - b)^2 = R^2

With that in mind, if we look at the first equation:

(x + 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (-3, - 5) with a radius of 4 units.

For the second equation:

(x + 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (-3, 5) and the radius is 2 units.

The third equation is:

(x - 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (3, 5) and the radius is 2 units.

The fourth equation is:

(x - 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (3, - 5) with a radius of 4 units.

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Answer:

The least common denominator is 18:)

Answer:

(0,25)

Step-by-step explanation:

Answer:

I believe the y intercept is (0,25)

Answer:

  C E A F B D

Step-by-step explanation:

A function is translated to the right by h units when x is replaced by (x-h) in the function. So, the larger h is, the farther right the vertex of the quadratic is.

The vertices will be arranged left to right by the ordering ...

  [tex]\boxed{y=f(x+3)}\rightarrow\boxed{y=f(x+2)}\rightarrow\boxed{y=f(x)}\rightarrow\boxed{y=f\left(x-\dfrac{1}{2}\right)}\\\\\rightarrow\boxed{y=f(x-4)}\rightarrow\boxed{y=f(x-7)}[/tex]

Answer:

The amount of money after 8 years is $8448.69

Step-by-step explanation:

The rule of the compound interest is  

[tex]A=p(1+r)^{t}[/tex] , where

∵ There is $7500 in an account

∴ P = 7500  

∵ The account paying 1.5% compound interest

∴ r = 1.5% = 1.5/100 = 0.015  

∵ The money will invest for 8 years

∴ t = 8

→ Substitute all of these values in the rule above to find A  

∵  [tex]A=7500(1+0.015)^{8}[/tex]

→ Use your calculator to find the answer  

∴ A = 8448.69

∴ The amount of money after 8 years is $8448.69

Answer:

x=15°

Step-by-step explanation:

165°+x=180°(sum of the adjacent angles on a straight line is 180)

x=180-165

x=15°

Answer:

Refer to the following information on full-term births in the United States over a given period of time.

Type of Birth Number of Births

Single birth 47,200,000

Twins 600,000

Triplets 3000

Quadruplets 200

Use this information to estimate the probabilities of the following events.

(a) A randomly selected pregnant woman who reaches full term delivers twins. (Give the answer to three significant figures.)

(b) A randomly selected pregnant woman who reaches full term delivers quadruplets. (Give the answer to three significant figures.)

(c) A randomly selected pregnant woman who reaches full term gives birth to more than a single child. (Give the answer to three significant figures

Answer:

the answer is 5 targets

Answer: B.f(n)9n-12

Step-by-step explanation:

The correct answer for the average salinity of the estuary would be 22.235.

Given in the question,

Salinity of ocean water at the entrance to the estuary:  35.

Volume of ocean water in the estuary:  63% (or 0.63).

Volume of freshwater in the estuary:  37% (or 0.37).

Consider, salinity of freshwater as 0.5.

To calculate the average salinity of the estuary, the  formula know is:

Average Salinity = (Salinity of Ocean Water * Volume of Ocean Water + Salinity of Freshwater * Volume of Freshwater) / Total Volume of Estuary

[tex]= \dfrac{35*0.63 + 0.5 * 0.37}{1}\\\\= 22.05 + 0.185\\\\= 22.235[/tex]

Therefore, Average salinity of the estuary would be approximately 22.235.

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21=a+(a+4)

one piece is 8.5 ft

the other is 12.5 ft

Answer:

75%

Step-by-step explanation:

in order to find the percentage of something like this, all you need to do is divide the part by the whole, thus 240/320 to make 75%

Answer:

u33u3373737

Step-by-step explanation:

hheeheheheheheheheheheehehehehebeheheheheheheheheehehe

Answer:

Assuming the cones are the same height, then

V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3

V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3

V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3

V1/V2 = 1/6.25 = .16

V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)

V2/V1=6.25/1 = 6.25

answer:

any value below 1

r<1

examples:

12×0=1

12×0.99= 0.0825

12×-12=-144 (which is less than 12)

etc.

What is the solution to the system of equations?

3x+2y = 39

5x-y = 13

(5,12)

Given that,

3x + 2y = 39......(1)

5x - y = 13.......(2)

multiplying equation 1 by 5 & 2nd by 3 ,we get,

15x + 10y = 195.......(3)

15x - 3y = 39........(4)

Subtracting equation 4th by equation 3rd,

we get,

15x + 10y = 195

-15x - 3y = 39

_____________

ㅤ ㅤ13y = 156

ㅤㅤㅤ y = 12

_____________

so , y = 12 & x = 5

_____________

hence, option 4th ⇢ (5,12) is correct ✓

Graph Attached

Option D

There are no other expressions intered. Please write them too.

Answer:

It CAN be 28.30

Answer:

Its divide and 4

Step-by-step explanation:

To find the values in each row divide the values in previous row by 4.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Clearly, from observation,
Each column represent geometric progression with common ratio r = 1/4. So when moving downward, the element in the rows decreases as multiple of 1/4.
Here,
R(1, 1) = 256
R (2 ,1) = 64
R(2,1)/R(1,1)=1/4

Thus, To find the values in each row divide the values in previous row by 4.

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Answer:

35 more preferred white

Step-by-step explanation:

Black 18% * 250 = 18/100 * 250 = 45

White 32%*250 = 32/100 * 250 = 80

The  difference is 80 - 45 = 35

Answer:

this is great to hear I personally like light

Answer:

total amount of money: $1100

Step-by-step explanation:

multiply the number of people by the money for each of them

so $55 x 20 = $1100

Answer:

55 divied by 20..witch mean 50 divied between 20 ppl witch is

11/4 and as a decimal 2.75 hope this helped