What is the value of (4/3)^3

Step-by-step explanation:

b(x) = x + 4

b( -10) = - 10 + 4

= - 6

Hope it will help :)❤

Answer:

-6

Step-by-step explanation:

b(-10) = -10 +4

= -6

nswer:

 (x +5)^2 = -2

Step-by-step explanation:        w t f

We can subtract the constant to get ...

 x^2 +10x = -27

Then add the square of half the x-coefficient:

 x^2 +10x +5^2 = -27 +5^2

 (x +5)^2 = -2 . . . . . . write as a square

Answer: x = 2,340 homes without children

There are 2,340 homes without children.

Step-by-step explanation:

'x' represent the number of homes without children

'y' represent the number of homes with children

x : y = 9 : 7

Since the total number of homes is 4160 means x + y = 4160.

From x + y = 4160 follows y = 4160 - x.

Plug y = 4160 - x into x : y = 9 : 7

x : (4160 - x) = 9 : 7

Answer:

y=52

x=46

questions 3

x=84

y=84

Step-by-step explanation:

Answer:

#2:   x = 64      y = 32[tex]\sqrt{3}[/tex]

#3:   x = 6[tex]\sqrt{2}[/tex]      y = 6[tex]\sqrt{2}[/tex]

Or, if you are supposed to write your answers in decimal form instead:

#2:   x = 64      y = 55.43

#3:   x = 8.49      y = 8.49

Step-by-step explanation:

Special right triangles have specific angle measurements that tell you the lengths of each side. I attached an image that explains the rules of different special right triangles in case you need it :)

#2 is a 30-60-90 triangle. This means that x (the side opposite the 90° angle) is two times the length of the shortest side (32×2), and y is equal to 32[tex]\sqrt{3}[/tex].

#3 is a 45-45-90 triangle. This means that x (the side opposite the 45° angle) is equal to y (the side opposite the other 45° angle). The hypotenuse, 12, is x[tex]\sqrt{2}[/tex] (or y[tex]\sqrt{2}[/tex], since x = y). This means 12 = x[tex]\sqrt{2}[/tex]

Answer:

The third term of a proportional is: 84

Step-by-step explanation:

We know that if a, b, c and d are in proportion, then:

a × d = b × c

In our case, we are given the first, second, and fourth terms are 24, 36, 126.

a = 24

b = 36

d = 126

and we have to determine the third term 'c'.

as we know that  if a, b, c, and d are in proportion, then:

a × d = b × c

Thus,

substituting a = 24, b = 36, d = 126 to determine

24 × 126 = 36 × c

c = (24 × 126)/36

c = 3024/36

c = 84

Thus, the third term of a proportional is: 84

Answer:

bucket of water = 50.397 lbs

Step-by-step explanation:

Pi(r^2)(h) = volume

3.14(6^2)(12) = 1356.48 in^3 = volume of bucket

one ft^3 = 12 x 12 x 12 = 1728 in^3

1356.48/1728 = 0.785 ft^3 (volume of bucket)

0.785(64.2) = 50.397 lbs

Answer:

No for the first one, yes for the second.

Step-by-step explanation:

Plug in the given numbers and see if it works.

15(1) + 3(4) = 10

15 + 12 = 10.

27 ≠ 10

Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.

Now for the second problem, do the same thing.

10 = 1 + 9.

This is true, but remember to check the second equation just to be sure.

10 = 4(1) + 6

10 = 4 + 6

This is also true, so it (1,10) is a solution for the second system of equations.

Answer:

Step-by-step explanation:

The solution is the point where the lines intersect! (3.5,-4)

Answer:

its b

Step-by-step explanation:

Answer:

Answer Below

Step-by-step explanation:

3/4 of 16

Depends of what you want.

You can make a pie chart. So you have 4 sections and then you shade 3. Then you have the word 4 in each sector.

Answer:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Hope that helps!

Step-by-step explanation:

9514 1404 393

Answer:

  1a: x+3 = 5

  1c: 6 = 2z

  2b: x = 2

  2d: 3 = z

  3: the solutions make the hangars balance

Step-by-step explanation:

1. We can write the equations by listing the contents of the hangar and using an equal sign to show the balance between left side and right side. It can work well to put left side contents of the hangar on the left side of the equal sign.

  A: x + 3 = 5

  C: 1 + 1 + 1 + 1 + 1 + 1 = z + z  simplifies to  6 = 2z

__

2. B: We can subtract 3 from both sides of the hangar (and equation) to find the value of x.

  (x +3) -3 = 5 -3

  x = 2 . . . . . hangar balances with 2 on the right

D: We can divide both sides of the hangar by 2, splitting the content into two equal parts. Then one of those parts can be removed from each side.

  2(3) = 2(z)

  3 = z . . . . . . hangar balances with 3 on the left

__

3. The found values will keep the hangar in balance when they are substituted for the corresponding variables.

  A: 2 + 3 = 5

  C: 1 + 1 + 1 + 1 + 1 + 1 = 3 + 3

Answer:

$75

Step-by-step explanation:

let 'x' = full price ticket

x + x + 0.4x = 180

2.4x = 180

x = 75

Answer:

it is b

Step-by-step explanation:

Answer:

13 feet

Step-by-step explanation:

3 inches times 52 equals 156.

156 divided by 12 equals 13.

The length of the actual car if The ratio of the model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches, is 13 feet.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an object.

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).

Given:

The ratio of a model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches,

Calculate the actual length of the car as shown below,

Models car length / The actual length of the car = 1 / 52

3 / The actual length of the car = 1 / 52

The actual length of the car = 3 × 52

The actual length of the car = 156 inches

The actual length of the car = 156 × 0.0833 feet  (1 inch = 0.0833)

The actual length of the car = 13 feet

Thus, the actual car is 13 feet long.

To know more about scale factors:

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Answer:

Step-by-step explanation:

5 is in the hundreds place.

The answer should be 213500

Answer:

Step-by-step explanation:

"to the nearest hundreds" requires rounding off the hundreds place.  We get 213,500 because the 48 is less than 50, indicating rounding down.  

Answer:

$18.51 tax

$226.51 total cost

Step-by-step explanation:

208 x 0.089 = 18.51 tax

Answer:

[tex]f'(x) = \frac{1}{5}x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x[/tex] --- Nickel to Penny

Required

Determine the function that converts penny to nickel

This question implies that we determine the inverse of the function.

We have:

[tex]f(x) = 5x[/tex]

Represent f(x) with y

[tex]y = 5x[/tex]

Swap the positions of x and y

[tex]x = 5y[/tex]

Make y the subject by dividing both sides by 5

[tex]\frac{1}{5}x = \frac{5y}{5}[/tex]

[tex]\frac{1}{5}x = y[/tex]

[tex]y =\frac{1}{5}x[/tex]

Replace y with f'(x)

[tex]f'(x) = \frac{1}{5}x[/tex]

Hence, the function that converts x pennies to nickels is [tex]f'(x) = \frac{1}{5}x[/tex]

Answer:

Company B

Step-by-step explanation:

Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate

Answer:

company a the rate per window is $75

Step-by-step explanation:

the graph shows company a charges $75 for 1 window

company b (by the chart) charges $55

company c (using the equation) charges $60

35(1)+25=$60 (1 in the equation is the number of windows)

Answer:

3(5−13)

Step-by-step explanation:

..............

Answer:

-3(5x-13)

Step-by-step explanation:

The greatest common factor is 3 and you want the # with the variable to be positive, usually, so just factor -3 out and that's what you get.

Answer:

The system has just one solution, it is (1,4).

Step-by-step explanation:

When we have a system of linear equations, the solution is given by the intersection point of the two lines.

So if we see the graph, the intersect point is at (1,4). Therefore, the system has a unique solution.

I hope it helps you!

Answer:

The price of the item is $27.

Step-by-step explanation:

$90 is reduced by 70% means: $90 - 0.70*$90 = (1 - 0.70)*$90 = 0.30*$90 = $27. The price of the item is $27 now.

Answer: 63

Reason: My brain

Answer:

When x = 2.4, we have y = 10.8

Step-by-step explanation:

A direct variation of two variables, x, and y, can be written as:

y = k*x

Where k is a constant, called the constant of variation.

We know that y = 7.2, when x = 1.6

Then we can replace these two in the above equation to get:

7.2 = k*1.6

Now we can solve this for k:

7.2/1.6 = k = 4.5

Then our relation is:

y = 4.5*x

Now we want to find the value of y, when x = 2.4

Then we just need to replace x by 2.4 in the above equation:

y = 4.5*(2.4) = 10.8

y = 10.8

Answer:

169 units

13 units

The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The coordinate of the points is given below.

(4, 3) and (9, 15)

Then the distance between the two points (4, 3) and (9, 15) will be given as,

D² = (9 - 4)² + (15 - 3)²

D² = 5² + 12²

D² = 25 + 144

D² = 169

D = 13 units

The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.

Learn more about the distance between two points here:

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9514 1404 393

Answer:

 cos B = (√5)/5

  csc B = (√5)/2

  tan A = 1/2

Step-by-step explanation:

The length of hypotenuse AB is given by the Pythagorean theorem:

  AB² = AC² +BC²

  AB² = 8² +4² = 64 +16 = 80

  AB = √80 = 4√5

The mnemonic SOH CAH TOA can help you remember the needed ratios.

  Cos = Adjacent/Hypotenuse

  cos B = BC/AB = 4/(4√5)

  cos B = (√5)/5

__

  Sin = Opposite/Hypotenuse

  csc = 1/sin = Hypotenuse/Opposite

  csc B = AB/AC = (4√5)/8

  csc B = (√5)/2

__

  Tan = Opposite/Adjacent

  tan A = BC/AC = 4/8

  tan A = 1/2

Answer:

tan A = 1/2  

cos B = √5/5

csc B = √5/2

Step-by-step explanation: I took the test

Hello! Your answer would be B, 3,504

Explanation:

So it states that a car loses a quarter of its value every year and it ask us to find in 9 years, A quarter is actually 25%, so we would have to divide 35,000 with 25 to find the first year.

Final Result: B

Answer:

Step-by-step explanation:

1.25 km × 0.75 km = 0.9375 km²

1 km = 100 hectares

0.9375 km² = 93.75 hectares²

Answer:

157.08m²

Step-by-step explanation:

Since the area of a circle is A=πr²

The radius is 10, so

A=π10²

A=314.16 (rounded to nearest hundredth)

Half of that is 157.08.