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2 years ago

Simplify 7(B + 3) + 2B

Mathematics

2 answers:

Blizzard [7]2 years ago

5 0

<span>7(B + 3) + 2B
= 7B + 21 + 2B
= 9B + 21

hope it helps</span>

notka56 [123]2 years ago

5 0

9B+21 is the correct answer

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Gabriela makes a profit of $0.80 for every cup of coffee that she sells at her coffee shop. She wanted to make a profit of at le

Paladinen [302]

Gabriela needs to sell 4 more cups of coffee to make a profit of $75.

She sells 90 cups and makes $0.80 profit on each cup. That equals $72 profit.

90 x $0.80= $72

She wants to make $75 profit.

$75 - $72 = $3 profit short for the day

$3/$0.80 = 3.75 cups of coffee short so to make her profit she must sell a total of 94 cups of coffee for the day or an additional 4 cups.

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2 years ago

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A study was conducted on the effects of divorce. Researchers gathered data from a random sample of 5,125 adults and measured qui

shusha [124]

Answer:

We can infer a cause-and-effect relationship because multiple variables were included.

Step-by-step explanation:

The multiple attributes for the divorced ones are

1) less physically active

2) an unhealthy weight,

3) smokers.

The attribute showing the % of the married is

1) death

So when we compare the two groups married and divorced we see different variables are involved in evaluating the percentage.

This shows a cause and effect involving multiple variables.

In cause and effect one variable is dependent and the other is independent.

The cause is the independent variable and effect is the dependent variable.

CAUSE EFFECT

Married Death

Divorced 1) less physically active

2) an unhealthy weight,

3) smokers.

5 0

2 years ago

Find f(x) if it is known that f(2a−1)=7a−13.

sattari [20]

Answer:

$f(x)=3.5x-9.5$

Step-by-step explanation:

Given:

The given function in terms of 'a' is given as:

$f(2a-1)=7a-13$

In order to determine $f(x)$ , we need to make $2a-1$ equal to 'x' and find the value of 'a'. Therefore,

$2a-1=x\\2a=x+1\\a=\frac{x+1}{2}$

Now, plug in the value of 'a' on both sides, we get:

$f(2\frac{x+1}{2}-1)=7\frac{(x+1)}{2}-13\\f(x+1-1)=3.5(x+1)-13\\f(x)=3.5x+3.5-13\\f(x)=3.5x-9.5$

Therefore, the expression for the function in terms of 'x' is:

$f(x)=3.5x-9.5$

6 0

2 years ago

Assume there are 365 days in a year.

MissTica

Answer:

1) The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday is 0.002.

Step-by-step explanation:

Given : Assume there are 365 days in a year.

To find : 1) What is the probability that ten students in a class have different birthdays?

2) What is the probability that among ten students in a class, at least two of them share a birthday?

Solution :

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

Total outcome = 365

1) Probability that ten students in a class have different birthdays is

The first student can have the birthday on any of the 365 days, the second one only 364/365 and so on...

$\frac{364}{365}\times \frac{363}{365} \times \frac{362}{365} \times \frac{361}{365}\times\frac{360}{365} \times \frac{359}{365} \times \frac{358}{365} \times \frac{357}{365} \times\frac{356}{365}=0.883$

The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday

P(2 born on same day) = 1- P( 2 not born on same day)

$\text{P(2 born on same day) }=1-[\frac{365}{365}\times \frac{364}{365}]$

$\text{P(2 born on same day) }=1-[\frac{364}{365}]$

$\text{P(2 born on same day) }=0.002$

The probability that among ten students in a class, at least two of them share a birthday is 0.002.

6 0

2 years ago

A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of

Ksju [112]

Hi there!

$R = \frac{2.1}{sin 67.5}$

$Arc = R$ $\frac{3\pi }{4}$

(A)

Hope this helped you!

5 0

2 years ago

Read 2 more answers