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3 years ago

Given the quantities a = 8.9 m, b = 4.9 s, c = 71 m/s, what is the value of the quantity d = a3/(cb2)

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

6 0

The given expression is

$d = \frac{a^3}{c b^2}$

We have to find the value of d , given the values of a,b and c are 8.9m,4.9 s , 71m/s respectively .

To find the value of d, we have to substitute the given values of a,b and c, that is

$d = \frac{8.9^3}{71*4.9^2}$

$d = 0.4135$

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At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri

yawa3891 [41]

Answer:

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

Step-by-step explanation:

Let D = cost of one medium drink

Let P = cost of one large popcorn

If a couple bought 2 medium drinks and a large popcorn for $13.85:

⇒ 2D + P = 13.85

If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:

⇒ 3D + 2P = 23.90

Rewrite 2D + P = 13.85 to make P the subject:

⇒ P = 13.85 - 2D

Substitute into 3D + 2P = 23.90 and solve for D:

⇒ 3D + 2(13.85 - 2D) = 23.90

⇒ 3D + 27.7 - 4D = 23.90

⇒ D = 3.8

Substitute found value of D into P = 13.85 - 2D to find P:

⇒ P = 13.85 - (2 x 3.8) = 6.25

Therefore,

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

3 0

2 years ago

Which expression is equivalent to(6x + 2) + (3x + 7)

gavmur [86]

Answer:

9x+9

Step-by-step explanation

Combine like terms (6x and 3x, 2 and 7)

3 0

3 years ago

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Which exponential function is represented by the graph?

Anna [14]

Answer:

Step-by-step explanation:

Let's solve this using our formula for exponential functions:

$y=a(b)^x$ where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):

$3=a(b)^0$ . Anything raised to the power of 0 is 1, so that means that

a = 3. We will use that value along with the x and y from the second coordinate to solve for b:

$6=3(b)^1$ . b to the first is just b, so our equation is

6 = 3b and

b = 2.

Our equation then is

$y=3(2)^x$ , the third choice down.

8 0

3 years ago

Taisha uses the elliptical cross- trainer at the gym. Her general goal is to burn 280 calories per workout, but she varies by as

Fed [463]

Given - Taisha has a general goal is to burn the 280 calories.

she is varies by the 25 calories.

Find out the maximum and minimum of calories burn by the taisha.

To proof -

let us assume that the calories burn by the taisha be x.

as given the calories are varies by the 25 calories.

then the maximum calories equation becomes

x-25 = 280

x = 280 + 25

x = 305

the maximum calories burn by the taisha is 305 calories.

minimum calories equationbecomes

x + 25 = 280

x = 255

The minmum calories burn by the taisha is 255 calories.

Hence proved

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3 years ago

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The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is

Troyanec [42]

Answer:

Area of each piece = 104 $cm^{2}$

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

$Area = Length \times Width$

Area = 26 $\times$ 36 $cm^2$

Area of each smaller rectangle = $\frac{26\times 36}{9} = 104\ cm^2$

To find the possible dimensions, we need to find the factors of 104.

104 = 26 $\times$ 4

104 = 13 $\times$ 8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

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3 years ago