A homeowner is replacing 4 solar modules at a cost of $6,200 for each solar module. She is going to get a discount of x dollars off each module. Write and expression that describes this situation and then simplify.

Answer:

62739.3 cm3

Step-by-step explanation:

Volume of a Sphere:

V=43πr3V=\frac{4}{3}\pi r^3V=34​πr3

radius=diameter2=49.32=24.65\text{radius} = \frac{\text{diameter}}{2} = \frac{49.3}{2}=24.65radius=2diameter​=249.3​=24.65

centimeters

Plug in:\text{Plug in:}Plug in:

43π(24.65)3\frac{4}{3}\pi (24.65)^334​π(24.65)3

62739.258293562739.258293562739.2582935

Use calculator

≈62739.3 cm3\approx 62739.3\text{ cm}^3≈62739.3 cm3

Round to the nearest tenth

Answer:

x=76

Step-by-step explanation:

y+8=3y

-2y=-8

y=4

104*2=208

360-208=152

152/2=76

x=76

Answer:

The correct answer is 48

Step-by-step explanation:

Answer:

[tex]\rm\implies y = 4x + 3 [/tex]

Step-by-step explanation:

Given :-

And we need to find the equation of the line. On looking at the graph we see that , it cuts y axis at (0,3) .So the y Intercept of the equation is 3 .

Slope Intercept Form :-

[tex]\rm\implies y = mx + c[/tex]

Substituting the respective values :-

[tex]\rm\implies y = 4*x + 3 \\\\\rm\implies y = 4x + 3 [/tex]

Hence the equation of line is y = 4x + 3

Answer:

20x^2 +19xy+3y^2

Step-by-step explanation:

See Image below :)

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Answer:

  20x² +19xy +3y²

Step-by-step explanation:

Use the distributive property.

  (4x +3y)(5x +y)

  = 4x(5x +y) +3y(5x +y)

  = 20x² +4xy +15xy +3y²

Collect terms.

  = 20x² +19xy +3y²

Answer:

why does no one ever answer these questionsss?? it's always math to, like I'm just trying to pass my quick check, let alone the class. you know how much easier my life would be it's people just answered the questions. I'm gonna run away, to some Scottish Isle and live a quiet life, in a cozy home with the wind outside ruffling through the grass, and the tired tired sea crashing onto the shoreline. I'll only visit my family and friends once a year, but the rest of the time, I'll be there, in the quiet. eventually a young visitor will stumble through my b & b and he'll end up staying there for weeks, for reasons unknown to me. Then, we'll fall in love, to the quiet sound of the ocean outside. And it'll be just us, it'll be our place, our secret. we won't have to deal with the loud, crazy, hectic world. and it will be perfect. but for now I'm stuck trying to pass this math class.

Answer:

The volume of one dime is 340.11 mm3. The volume of 50 dimes is 17.005.32 mm3.

Step-by-step explanation:

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Answer:

  a = 4

  b = 2√3

Step-by-step explanation:

The side lengths of a 30°-60°-90° right triangle are in the ratio 1 : √3 : 2.

The shortest side in the given triangle is 2, so we can multiply by 2 to see the ratios are ...

  2 : 2√3 : 4 = 2 : b : a

  b = 2√3

  a = 4

Answer:

36 meters

Step-by-step explanation:

A square has equal side lengths, and a total of 4 sides, so

9 times 4 is equal to 36.

Remember your units!

Answer:

48 years

Step-by-step explanation:

Let the ratio of their ages be

4:2:1

Sum up the numbers

4+2+1

= 7

Their total ages is 84

7/84

= 1/12

Therefore Jim age can be calculated as follows

= 12×4

= 48

Hence Jim is 48 years

Answer:

B. 14 ft

Step-by-step explanation:

I calculated it logically

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Answer:

  y = x + 2

Step-by-step explanation:

We observe that the line crosses the y-axis at y=2, so the y-intercept is 2.

The line has a rise of 1 grid square for each run of 1 grid square to the right. The slope is the ratio of rise to run:

  m = rise/run = 1/1 = 1

The slope and intercept can be put into the slope-intercept form:

  y = mx + b . . . . . line with slope m and y-intercept b

  y = 1x +2 . . . . . .  line with slope 1 and y-intercept 2

  y = x +2 . . . . . . . simplified

Answer:

Step-by-step explanation:

Answer:

5 years : 1781.52

20 years: 2984.68

Given:

Consider the given expression is:

[tex]10n-\dfrac{1}{3}(9n-12)[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]10n-\dfrac{1}{3}(9n-12)[/tex]

Using distributive property, it can be written as:

[tex]=10n-\dfrac{1}{3}(9n)-\dfrac{1}{3}(-12)[/tex]

[tex]=10n-3n+4[/tex]

[tex]=7n+4[/tex]

Therefore, the correct option is A.

Answer:

The volume for a cone and pyramid are the same, V = 1/3 Bh where B is the area of the base.

Step-by-step explanation:

So even though the base is a different shape, as long as the areas and heights are the same, they will have the same volume.

Answer:

the ans is 4 hope it may help u

Step-by-step explanation:

x =-6

x= - × -6 -2

x=+ 6 -2

x= +4

Answer: 55

Step-by-step explanation:

180 = 125 + x

x = 55

Answer:

Combine like terms:

(5x + 3x) (2y + 4y)

8x + 6y is your algebra expression.

Answer:

the answer is B so it's 12

Answer:

12 inches

Step-by-step explanation:

All you have to do is divide 72 by 6.

72 divided by 6 equals 12.

So your answer would be D.12 inches

Answer:

Step-by-step explanation:

Do you have any measurements?

1) 180-Angle 2 = Angle 1

3) Same as Angle 2

6) Same as Angle 2

Answer:

This

Step-by-step explanation:

let x = rate of the slower plane (First plane!)

x+25 = rate of the faster plane (Second plane!)

The planes fly for 2 hours, where Distance = R*T

Distance between the planes = SUM of the distances.

R*T + R*T= 470 miles

2*x + 2*(x+25)=470

2x+2x + 50 = 470

4x+50=470

4x=420

x=105 mph First plane

x+25= 105+25=130 mph Second plane.

Answer:

4x+50=470

4x=420

x=105 mph First plane

x+25= 105+25=130 mph Second plane.

R^2

Step-by-step explanation:

Answer:

The answers to your questions are given below.

Step-by-step explanation:

1. (3x + 8)(3x + 8) = 0

3x + 8 = 0 or 3x + 8 = 0

3x = –8 or 3x = –8

x = –8/3 or –8/3

2. (3x – 8)(3x + 8) = 0

3x – 8 = 0 or 3x + 8 = 0

3x = 8 or 3x = –8

x = 8/3 or –8/3

3. x(3x – 8) = 0

x = 0 or 3x – 8 = 0

x = 0 or 3x = 8

x = 0 or 8/3

4. (3x – 8)(3x – 8) = 0

3x – 8 = 0 or 3x – 8 = 0

3x = 8 or 3x = 8

x = 8/3 or 8/3

Answer:

Yessir

Step-by-step explanation:

Answer:

113 meters long

Step-by-step explanation:

If each part is all equal in length, then each part is 1/4 the total length of the obstacle course. Therefore, each part of the course was 1/4(452)=113 meters long

Answer:

85 i thinkkkk

Step-by-step explanation:

Answer:

Domain: -6,-5,0,0,9

Range:-8,-7,0,1,8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It’s a

Answer:

c

Step-by-step explanation

the higher the negative number, the less it is worth. therefore -26 is less than -5, which is less than 17