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2 years ago

Which expression represents, six times a number plus 8 times a number?

Mathematics

2 answers:

FinnZ [79.3K]2 years ago

5 0

The answer is 6a+8b, so *D*, hope it helps!

Arada [10]2 years ago

3 0

6a+8b; when a variable is next to a coefficient then that means they are multiplying each other, we just don't know what a or b is.

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Marco purchased a large box of comic books for $300. He gave 15 of the comic books to his brother and then sold the rest on an i

Yuri [45]

Answer: There are 75 books.

Price of each book = $4.

Step-by-step explanation:

Let x = Number of books in the box.

Then as per given,

Cost of x books = $300

Cost of one book = $\$(\dfrac{300}x)$

Books left after giving 15 of them = x-15

Selling price of (x-15) books= $330

Selling price of one book = $\$(\dfrac{330}{x-15})$

Profit on each book= $1.50

Profit = selling price - cost price

$\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]$

$\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75$

Number of books cannot be negative.

So, there are 75 books.

Price of each book = $\dfrac{300}{75}=\$4$

So price of each book = $4.

5 0

2 years ago

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.

oksian1 [2.3K]

Answer:

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that $P(A) = 0.45$

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that $P(B|A) = 0.8$

What is the probability that the land has oil and the test predicts it?

This is $P(A \cap B)$ . So

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36$

0.36 = 36% probability that the land has oil and the test predicts it

5 0

2 years ago

Solve the equation-54-9g

coldgirl [10]

-68hen you enter an equation into the calculator, the calculator will begin by expanding (simplifying) the problem.

4 0

2 years ago

In an examination there are four multiple choice questions with 3 options each, of which one option is the correct answer. In ho

mina [271]

4 multiple choice questions
3 answers per question

4 × 3 = 12

12 possible answers total

12 - 4 = 8

8 incorrect answers
4 correct answers

3 × 3 × 3 × 3 = 81

81 possible ways they can answer

Only one of those ways is 100% correct.

81 - 1 = 80

80 ways

8 0

3 years ago

A = 7+10n help me plz

Marrrta [24]

Answer:

I'll help you out. Question: Are you solving for A or for N?

If you're solving for A: A=10n + 7

If you're solving for N: Isolate the variable by dividing each side by factors that don't contain the variable. n = A/10 - 7/10

Hope this helped!

Step-by-step explanation:

3 0

3 years ago