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lora16 [44]
3 years ago
11

The tape diagram represents an equation.​

Mathematics
1 answer:
boyakko [2]3 years ago
7 0

Answer:

20

Step-by-step explanation:

6p = 120

p = 120/6

p = 20

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2 Points
polet [3.4K]

Answer:

This equation has one solution

Step-by-step explanation:

Number of solution depends on the involved variables so here in this equation only one variable involve so one solution exist.

6 0
3 years ago
Read 2 more answers
How do I use Negative and Zero Exponents
andrew-mc [135]
Zero exponent is nothing
8 0
3 years ago
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A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the
posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 \times 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 \times 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }

5 0
3 years ago
Calculate the shaded area of the figure.
stiv31 [10]

Answer:

36.5cm²

Step-by-step explanation:

Area of quarter circle=8²\pi/4=64\pi/4=16\picm²

Area of square+Area of shaded region =2(16\pi)=32\pi=100.5cm²

Area of square=8²=64cm²

Area of shaded region=100.5cm²-64cm²=36.5cm²

Therefore, the area of the shaded region is 36.5cm².

6 0
3 years ago
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A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by 3x. The container must contain 48in.
alex41 [277]

The height of the container that will be able to minimize the cost will be 3.08cm.

<h3>How to calculate the height?</h3>

The volume of the box will be:

= (3x)(4x)h

= 12x²h

From the information given, we are told that the container must contain 48in³. Therefore,

48 = 12x²h

h = 4/x²

The function cost will be:

= 3.50(2)(12x²) + 4.40(14x)h

= 84x² + 61.6x(4/x²)

= 84x² + 246.4/x

We'll use the first derivative. This will be:

dC/dx = 168x - 246.4/x²

x = 1.14.

Therefore, the height will be:

h = 4/x² = 4/1.14² = 3.08cm

In conclusion, the height is 3.08cm.

Learn more about height on:

brainly.com/question/1557718

4 0
2 years ago
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