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AnnyKZ [126]
2 years ago
11

Anne can pack 84 boxes in 6 minutes. How many boxes can she pack per minute?​

Mathematics
1 answer:
UNO [17]2 years ago
3 0

Answer:14 boxes per minute.

Step-by-step explanation:

This is a simple equation.

84/6 = 14 boxes per minute.

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A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same spee
sweet [91]

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

7 0
3 years ago
What is the lcd of (3x)/(x + 3), 3/(x ^ 2 - 9)
Rudik [331]

Answer:

Simplify the denominator.

Tap for more steps...

x

(

x

+

3

)

(

x

−

3

)

⋅

3

x

x

2

−

5

x

+

6

Factor

x

2

−

5

x

+

6

using the AC method.

Tap for more steps...

x

(

x

+

3

)

(

x

−

3

)

⋅

3

x

(

x

−

3

)

(

x

−

2

)

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

(

x

+

3

)

(

x

−

3

)

,

(

x

−

3

)

(

x

−

2

)

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number

1

is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of

1

,

1

is the result of multiplying all prime factors the greatest number of times they occur in either number.

1

The factor for

x

+

3

is

x

+

3

itself.

(

x

+

3

)

=

x

+

3

(

x

+

3

)

occurs

1

time.

The factor for

x

−

3

is

x

−

3

itself.

(

x

−

3

)

=

x

−

3

(

x

−

3

)

occurs

1

time.

The factor for

x

−

2

is

x

−

2

itself.

(

x

−

2

)

=

x

−

2

(

x

−

2

)

occurs

1

time.

The LCM of

x

+

3

,

x

−

3

,

x

−

3

,

x

−

2

is the result of multiplying all factors the greatest number of times they occur in either term.

(

x

+

3

)

(

x

−

3

)

(

x

−

2

)

Step-by-step explanation:

there does that help

6 0
3 years ago
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) Dawn writes 800 pages in 80 da
lilavasa [31]
Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".

From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).

Recall that the slope, m, of a line passing through points:
(x_1,y_1) and (x_2,y_2)
is given by
m= \frac{y_2-y_1}{x_2-x_1}

Function f(x) passes through points (0, 0) and (80, 800).

Thus the slope of function f(x) is given by
m= \frac{800-0}{80-0} = \frac{800}{80} =10


Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by
m= \frac{12-(-6)}{4-2} = \frac{12+6}{2} = \frac{18}{2} =9

It can be seen that the slope of f(x) and the slope of g(x) are close.
</span>
7 0
3 years ago
Slove this for me please​
Alborosie

Answer:

-10

Step-by-step explanation:

divide both sides by -4

simplify to v+8=-2

subtract 8 from both sides

v=-10

6 0
2 years ago
Gorge was able to solve 36 math problems in 15 muinutes. Urban was able to solve 42 math problems in 20 muinutes. Who was able t
MrRissso [65]

Answer:

Urban, 2.1 mins

Step-by-step explanation:

36 ÷ 3 = 2 (Gorge's)

42  ÷ 2 = 2.1 (Urban)

3 0
3 years ago
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