whats an expression equivalent to 12g - 3g +7

Using proportions, it is found that the average speed of the motorcycle is of 64 km/h.

A proportion is a fraction of a total amount.

In this problem, in one and one-quarter hours, that is, [tex]\frac{1} + \frac{1}{4} = 1.25[/tex] hours, the car traveled 20 km farther, hence the number of km/h by which the car is faster is given by:

f = 20/1.25 = 16 km/h.

The car's velocity was of 80 km/h, hence the average speed of the motorcycle is given by:

m = 80 km/h - 16 km/h = 64 km/h.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

31 cylinders

Step-by-step explanation:

Hello!

Let's first find how much water is held by the cylinder. To find this, we must find the volume (amount of space it takes up) of the cylinder

[tex]V = \pi r^ * h\\\\V = \pi (6/2)^2*8\\\\V = \pi* 3^2*8\\\\V = \pi* 9*8\\\\V = 72\pi[/tex]

Now let's find the volume of the rectangular prism.

[tex]V = 24*24*12\\\\\\V = 6912[/tex]

Now, let's divide the Volume of the fish tank by the cylinder:

[tex]6912 / 72\pi\\\\\\\text{Approx } 30.58\\ = \text{Approx 31 cylinders}[/tex]

Because we can't use half full cylinder, we round up to the nearest whole number: 31

Answer:

31 cylinder containers are needed to completely fill the fish tank.

Step-by-step explanation:

The stuffs required to solve this question:

Where r is radius, h is height, l is length and b is breadth. So, now just use these formulae and solve the question.

A cylinder container is given whose height is 8 inches and diameter is 6 inches. We are aware about the fact that radius is half of diameter. So, the radius of the cylindrical container is 3 inches.

Volume of cylindrical container = π × (3)² × (8)

Volume = 72π or 226 (approx.)

Similarly, a rectangular prism is provided whose length, breadth and height is 24, 24 and 12 inches respectively.

Volume of rectangular prism = 24 × 24 × 12

Volume = 6912

'n' is the number of cylindrical containers required to fill the fish tank. So,

→ n = Volume of rectangular prism/Volume of cylindrical container

→ n = 6912/226 = 30.58

→ n = 31 (approx.)

Answer:

15

Step-by-step explanation:

acute is an angle smaller than 90 degrees

[tex] \huge{ \rm{Question:}}[/tex]

Which of the following angle measures represents an acute angle?

15

163

90

180

[tex] \huge{ \rm{Answer:}}[/tex]

Step-by-step explanation:

acute angles measures less than 90 degrees

HOPE THIS HELPS^^

Answer:

b) 1.82n

Step-by-step explanation:

n + n - 0.18n

2n - 0.18n (combine like terms)

1.82n

Hope this helps!

Answer:

I'm pretty sure the answer is 0.45. I got this by dividing 1.35 by 3 which gave me 0.45. And to check it, I multiplied 0.45 by 3, snice the formula for area is multiplying.

Step-by-step explanation:

8). 5 ft² into squared Inches:

=> since 1 ft² = 144 in²

=> 5x144

=> 720 in²

9). 16 000 cm² to m²:

=> since 1 m²= 10 000 cm²

=> 16 000 ÷ 10 000

=> 1.6 m²

10). 90 km/h to m/h

=> since 1000 m= 1 km

=> 90x1000

=> 90 000 m/h

11). 30 m/s to m/min

=> since 60 s= 1 min

=> 30÷60

=> 0.5 m/min

12). 15 rpm into rps

=> since 1 min= 60 s

=> 15x60

=> 900 rps

Answer:

3 inches

Step-by-step explanation:

Hello!
We can set up a proportion: [tex]\frac{\frac{1}{2}}{\frac16}} = \frac{x}{1}[/tex]

(Check the last answer for information on setting up proportions)

Solve:

1 yard in real life is 3 inches on the model.

1 yard represent:

Answer:

y=x+5

Step-by-step explanation:

y-y1=m(x-x1) POINT-SLOPE FORM

Plug in your point and slope

y-3=1(x+2)   (The signs flip because of the negative)

y-3=x+2 (SIMPLIFY)

y=x+5  (Move the three. It is now slope int form)

You can check by plugging in -2 for x, and get 3 for y. (it works)

Answer:

3.5 cm

Step-by-step explanation:

Radius of circle = √(Distance from chord)² + (Half chord length)²

= √(2.8)² + (2.1)²

= √7.84 + 4.41

= √12.25

= 3.5 cm

Answer:

Cut the prism into 2 parts like the picture below

Name the upper part A, and the lower part B

Calculate the volume of part A:

12 - 8 = 4 cm

4 * 5 * 6 = 120 [tex]cm^{3}[/tex]

Calculate the volume of part B:

15 * 8 * 6 = 720 [tex]cm^{3}[/tex]

Volume of the whole prism:

Volume of part A + volume of part B

120 + 720 = 840 [tex]cm^{3}[/tex]

Answer:840 cm squared

Step-by-step explanation:

Answer:

Graph 7 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

4.8

Step-by-step explanation:

[tex]Cos \ 64 =\dfrac{adjacent \ side}{hypotenuse}\\\\0.4384 =\dfrac{x}{11}\\\\\\0.4384*11=x[/tex]

x = 4.82

x = 4.8

Answer:

A.

  a. Perpendicular

  b. Intersecting

  c. Parallel

B.

C.

   *Needs To Be drawn

Step-by-step explanation:

Hope This Helps!!!

Answer:

5mph

Step-by-step explanation:

Let speed of boat in still water is s.

Distance proportional to speed

90/10 = (s+ 4)/(s - 4)

=> 9s - 36 = s + 4

=> 8s = 40

=> s= 5 mph

:-)

Factorization is writing the expression in terms of multiplication of its factors. The given expression is prime(option A), thus, no factors.

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Suppose the given quadratic equation is

[tex]ax^2 + bx + c = 0[/tex]

Then its solutions are given as

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Finding the roots of [tex]3x^2 - x + 5 =0[/tex], we get:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{1 \pm \sqrt{(-1)^2 - 4\times 5 \times 3}}{2 \times 3} = \dfrac{1 \pm \sqrt{1-60}}{6}[/tex]

Its square root is not real(if not using complex numbers, then its solution doesn't exist, making the roots non-real, and thus, polynomial not being able to get factorized. )

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The length of side LM in the triangle LMN is 6.75 cm.

Two figures are said to be similar if they are of the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram:

LM / HJ = JK / MN

LM / 4.5 = 9 / 6

LM = 6.75 cm

The length of side LM in the triangle LMN is 6.75 cm.

Find out more on similar figures at: https://brainly.com/question/26173060

Answer:

9/6 = LM/4.5

Epxlanation:

I go to K-12 and I did the test

We will see that this circle is centered at the point (-5, -49) and has a radius of 1.

For a circle of radius R centered at the point (a, b), the equation is:

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

In this case, we have:

x^2 + y^2 + 10x + 14y + 73 = 0

We can rewrite this as:

(x^2 + 10x) + (y^2 + 14y) + 73 = 0

(x^2 + 2*5*x + 25) + (y^2 + 2*7*y + 49) - 25 - 49 + 73 = 0

(x + 5)^2 + (y + 49)^2 -74 + 73 = 0

(x + 5)^2 + (y + 49)^2 = 1

So we have a circle centered at the point (-5, -49) with a radius equal to 1.

If you want to learn more about circles, you can read:

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Answer: 16 degrees

Step-by-step explanation:

Step-by-step explanation:

for mean w. you have to add up all the values (cat weights) and divide them by the number of cats

and for median w. you need to compare the values from the smallest to the largest and cross out the numbers from the ends. Since there are 6 cats here (odd number) you will have 2 values left. Add them up and divide them by 2 (since there are 2)

Answer:

Tom is incorrect

The cost of using the air pump has increased by 150%

Step-by-step explanation:

Tom is incorrect

percent change = [ (difference between initial and final value) ÷ initial value] × 100

⇒ [ (50 - 20) ÷ 20) × 100 = 150%

Therefore, the cost of using the air pump has increased by 150%

Answer:

₹245 is the cost

Step-by-step explanation:

Given:

Cost of the fan = ₹1470

1/6th =  1470/1  × 1/6

(do not cross multiply and simplify)

=  ₹245

Answer:

Rs 1260

Step-by-step explanation:

let x be the cost price , then

x + [tex]\frac{1}{6}[/tex] x = 1470 , that is

[tex]\frac{7}{6}[/tex] x = 1470 ( multiply both sides by 6 to clear the fraction )

7x = 8820 ( divide both sides by 7 )

x = 1260

The cost price was Rs 1260

Answer:The given function is .Minimum or maximum value:At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.dy/dx=0Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,As  for all value of x, so x=0 is the point corresponding to minima.Put x=0 in the given function to get the minimum value.Domain and range:The function defined for all the values of the independent variable, x.So, the domain is .The range of the function is the possible value of y.The minimum value, for x=0, is y=7.The maximum value, as .Hence the range of the function is .The value of x for which the function is increasing and decreasing:If the slope of the function is negative than the function is decreasing, soThen, from equation (i), the value of x for which dy/dx<0,18x<0Hence, the function is decreasing for  .While if the slope of the function is positive than the function is increasing, soThen, from equation (i), the value of x for which dy/dx<0,18x>0Hence, the function is increasing for 

Step-by-step explanation:hope this helps

Answer:

the answer is A

Step-by-step explanation:

hope it helps ♡

Zalia paid all total for her day at the science museum is $41.43 including all taxes and tips and other expenses.

It is given that

Admission to the museum = $12.50 per person

Number of persons= 2

Sandwich charge = $5.95

Apple charge = $1.25

Drink charge = $1.69

Tax rate = 7.25%

Tip = 15%

The percentage is value per hundred

Total amount without tax and tip(a)= 12.50*2+5.95+1.25+1.69 = $33.89

Tax(b) = 7.25% of $33.89 = 7.25*33.89/1000= $2.457025

Tip(c) = 15% of $33.89 = 15*33.89/100 = $5.0835

Net amount = a+b+c = $41.43

Therefore, Zalia paid all total for her day at the science museum is $41.43

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The factor of the provided polynomial after the factorization process are similar to option B, which is

[tex](x+4)(3x+1)(3x-1)[/tex]

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

[tex]9x^3 +36x^2 - x - 4[/tex]

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 9x², which can divide each term of the first two terms of equation (9x³, 36x²). Thus,

[tex]9x^2(x +4) - x - 4[/tex]

Take out the highest common factor -1 from the second two terms as,

[tex]9x^2(x +4) -1( x + 4)[/tex]

Now take out the common group (x+4) as,

[tex](x +4) ( 9x^2 -1)[/tex]

The second group can be rewritten using the difference of square formula as,

[tex](x +4) ( (3x)^2 -1^2)\\(x+4)(3x+1)(3x-1)[/tex]

Thus, the factor of the provided polynomial after the factorization process are similar to option B, which is

[tex](x+4)(3x+1)(3x-1)[/tex]

Learn more about factor of polynomial here;

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Answer:

3/8 gallon

Step-by-step explanation:

They drink 1/2 of their milk at breakfast => it means they drank 1/2 of 3/4 gallon of milk.

So, they drank : 3/4 x 1/2 = 3/8 gallon of milk.