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andrew-mc [135]
3 years ago
10

Simplify −1/2(b+2)+3b

Mathematics
2 answers:
expeople1 [14]3 years ago
7 0

Answer:

-1/2b - 1 + 3b = 5/2b - 1

Step-by-step explanation:

Bingel [31]3 years ago
4 0

Answer:

5b/2-1

Step-by-step explanation:

Hope this helps

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A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter
maksim [4K]

Answer:

25%.

Step-by-step explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}

\text{Probability that dart lands inside the triangle}=\frac{\text{Area of triangle}}{\text{Area of rectangle}}

\text{Probability that dart lands inside the triangle}=\frac{162}{648}

\text{Probability that dart lands inside the triangle}=0.25

Convert into percentage:

0.25\times 100\%=25\%

Therefore, the probability that dart lands inside the triangle is 25%.

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Whether the students claim is correct
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Options on this certain question?

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The two-way table shows the results of a recent study on What is the probability that a randomly selected person
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Not Vaccinated: 485+600=1085

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On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte
Margaret [11]

A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

B) The equation to represent this proportional relationship is y = 0.2x

<em><u>Solution:</u></em>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

\text{ amount paid each month } \propto \text{ number of international texts sent that month}

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

y \propto x

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

k = \frac{y}{x}

Last month, she paid $3.20 for 16 international texts

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0
4 years ago
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