A therm is a unit of heat. The Muckerjees pay $0.48 per therm of natural gas. In May, they paid $23.76 for natural gas. How many therms did they use

Answer:

(6a-4)°=(2a+68)°

6a-2a=68+4

4a=72

a=72/4

a=18

Answer:

The answer is 18. (A)

Step-by-step explanation:

Let me know if this helps

Answer:

B

Step-by-step explanation:

Answer:

height:6

if the base is a square that means all the side lengths are equivalent so it would be 8 for side lengths, and the volume is 128. plug it in with the formula to get 6

The height of a pyramid is 8cm

Supposing that:

The length of the sides of the square base the pyramid has = b units

The height of the considered square based pyramid = h units,

Then, its volume is given by: [tex]V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3[/tex]

Given;

The volume of pyramid= 128cm3

Length of side of square base= 8cm

Now,

128=1/3 x 8x8xh

128= 64/3 xh

h= 128x3/64

h=8

Therefore, the height with the volume 128cm3 will be 8cm

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Answer:

55

Step-by-step explanation:

Since angle Arc AC and angle X lies on the same same straight line,

[tex]angle \: arc \: ac \: + \: angle \: x \: = 180 \\ 125 + x = 180 \\ x = 180 - 125 \\ = 55[/tex]

Answer:

it is 245 because the degrees for circle is 360

Step-by-step explanation:

360-125=245

Answer:

zero

Step-by-step explanation:

Answer:

0 is a value of a for 7/a to make irrational number.

Answer:

48

Step-by-step explanation:

y=6x

y=6(8)=48

Answer:

Step-by-step explanation:

y=6(8)

6*8=48

x=48

Answer:

Step-by-step explanation:

Answer:

The shape of the cross-section is a square

Step-by-step explanation:

Given

[tex]r =2[/tex]

[tex]h = 4[/tex]

See attachment

Required

The shape of the cross-section

From the attachment, we can see that when the cylinder is cut vertically, the shape formed is a quadrilateral of equal opposite sides.

The dimension of the shape is: the height of the cylinder and the diameter of the base circle

From the given parameters, we have the radius and the height to be:

[tex]r =2[/tex]

[tex]h = 4[/tex]

The diameter (d) is:

[tex]d = 2 * r[/tex]

[tex]d = 2 * 2[/tex]

[tex]d = 4[/tex]

So, the dimension is:

[tex]h = 4[/tex] and [tex]d = 4[/tex]

Since the height and the diameter have the same lengths, then the shape is a square.

V = 1/3 * pi r^2 h

V = 1/3 * pi * 5/2^2 * 6

V = 1/3 * pi * 25/4 *6

V = 2 * pi *25/4

V = 25/2 pi

Answer: (12.5*pi)in^3 or 39.27 in^3

Answer:

n(k + m) = number of fruits

Step-by-step explanation:

n(k + m)

Remember that the fruits combined would be k + m.

Then to find the total, you would need to multiply by the number of plates, which is n. Therefore, you would get n(k+m) to showcase the total amount of fruits on the table.

Answer:

qqqqqqqqqq

Step-by-step explanation:

Answer:

In this question one has to look forward to the information's already given. Based on those given information's the answer to the question can be easily determined.

Principal amount = $4000

Time for which money is borrowed = 5 years

Rate of interest = 6%

Then

Amount of Interest = Principal * Rate * Time

                              = 4000 * 6% * 5

                              = 4000 * 6/100 * 5

                              = 40 * 30

                              = 1200 dollars

So the amount of interest that needs to be given is 1200 dollars. I hope the naswer and the procedure is clear enough for you to understand.

Answer:

Missing term = r²

Step-by-step explanation:

Given:

6r⁴ + 4r + ….  -2r⁴ + 3r = 4r⁴ + r² +7r

Find:

Missing term

Computation:

Assume missing term = A

So,

6r⁴ + 4r + ….  -2r⁴ + 3r = 4r⁴ + r² + 7r

6r⁴ + 4r + A -2r⁴ + 3r = 4r⁴ + r² + 7r

4r⁴ + 4r + A + 3r = 4r⁴ + r² + 7r

4r⁴ + 7r + A = 4r⁴ + r² +7r

A = r²

Missing term = r²

Answer:

75

Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

512 : 64

8 : 1

Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

600/x = 8/1

Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

x means an axis of symmetry

Answer:

the answer should be 'd'

Answer:

D) direct variation

Step-by-step explanation:

Since y changes depending on x, it is direct variation.

Hope it helps, have a nice day :)

Answer:

hi:}

Step-by-step explanation:

15

Answer:

6h/top left

Step-by-step explanation:

count the number of hs. In this case there are 6 so it is 6h

Step-by-step explanation:

h+h+h+h+h+h is equivalent to 6h

Answer:

The area of this figure is 22 meters squared

Step-by-step explanation:

Two shapes exist on this figure: a rectangle and a triangle. We must first find the area of the rectangle and add that area to the area of the triangle. So first, let's solve the rectangle.

As the area of a rectangle is length multiplied by width, we have 8 * 1 = area, or 8 meters squared. Now we save the value of 8 to add to the area of the triangle. So let's now figure out the area of the triangle.

As the area of a triangle is A = (HB)/(2), or that triangles height multiplied by its base, and dividing that whole number by 2, we can substitute numbers into this equation. This means we take 3.5, the height of the triangle, and multiply that number by 8, the base of the triangle, to get a value of 28. We then divide 28 by 2 to satisfy the equation A = (HB)/(2), and we get the value of 14.

Because of this, we add 8, the area of the rectangle, and 14, the value of the triangle to get a total value of 22. Now let's not forget to add meters squared as the unit of measurement as stated in the question.

This means that the total area of this figure is 22 meters squared.

Answer:

A) 255 meters; B) 172

Answer:

A: 145m

B: 172 m

Step-by-step explanation:

Answer:

S1) False. 2³ is 2 × 2 × 2 which is 8, not 6.

S2) False. ( 2x / 3y ^ (2) ) ^ (3) =

( (2x) ^ (3) / ( (3y) ^ (2) ) ^ (3) ) = (2)³ × (x)³ / (3)³ × (y²)³ = 8 × x³ / 27 × y⁶ = 8x³ / 27y⁶.

i.e (a^b)^c = a^(b × c).

S3) True.

S4) True.

S5) False. x^(-3) = 1 / x^(3) ≠ 1 / 3x

Answer:

142°

Step-by-step explanation:

Answer:

{−2, 0, 4}

Step-by-step explanation:

[tex]\displaystyle 6x^3 - 12x^2 - 48x \\ 6x[x^2 - 2x - 8] \\ 6x[x + 2][x - 4] \\ \\ 0, 4, -2 = x[/tex]

I am joyous to assist you at any time.

The roots of the cubic polynomial 6x³ - 12x² - 48x  = 0 are  -2, 0 and 4.

The degree of a cubic polynomial is 3. Degree of a polynomial is the highest power of the variable in that polynomial. In cubic polynomial, the variable [x] has the highest power of 3 (x³).

Given is the following cubic polynomial -

6x³ - 12x² - 48x  = 0

In order to find the roots of this cubic equation, we will plot its graph. The number of y - intercepts [coordinates where the graph cuts the x axis] will give us the roots or zeroes of the polynomials. The degree of a cubic polynomial is [3], therefore the number of zeroes of this cubic polynomial will be 3. Refer to the graph attached, it can be seen that the graph cuts the x-axis at three points -

x = -2, 0, 4

Which are the roots of this cubic polynomial 6x³ - 12x² - 48x  = 0.

Therefore, the roots of the cubic polynomial 6x³ - 12x² - 48x  = 0 are  -2, 0 and 4.

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Answer:

x=6

Step-by-step explanation:

-12x-14=-86

-12x+12=+14

-12x=-72

-12/-12x=-72/-12

x=6

Answer:

ok

Step-by-step explanation:

Answer:

Hola!! Can I please know what this is about??

Answer:

slope = -8/3   (-8 over 3)

Step-by-step explanation:

rise over run

rise is negative since the line is going down = -8

run = 3