Find the LCD that would eliminate the fractions in this equation.

4n-1/7=5/7

Answers

Answer 1

Answer: Multiply the whole fraction by seven. You get28n−1=5 Gathering the terms,28n=6 Dividing by 28, n=3/14I'm not sure what you mean by LCD, but you could, alternatively,Add 1/7 to both sides,4n=6/7 Multiply the left-hand side by 7/7 (you can do that because it's equal to one, so the equality is preserved),28n/7=6/7 Multiply by seven,28n=6 And divide by 28, n=6/28

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Which of the following graphs represents the solution set for 7(4x – 1 ) + 6x > –279? PLEASE HELP

Answers

The solution is, graph is D ,which graphs represents the solution set for 7(4x – 1 ) + 6x > –279.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

First, solve the inequality:

7(4x – 1 ) + 6x > –279

solving we get,

34x>-272

x>-8

Since x is greater than -8, you have the arrow point up the graph towards the positive side starting at -8.

Since it's greater than but not equal to -8, the circle is open.

Thus, The solution is, graph is D.

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First, solve the inequality:
$7(4x - 1 ) + 6x \ \textgreater \ -279\n28x-7+6x\ \textgreater \ -279\n34x\ \textgreater \ -272\nx\ \textgreater \ -8$
Since x is greater than -8, you have the arrow point up the graph towards the positive side starting at -8.
Since it's greater than but not equal to -8, the circle is open.

Thus your graph is D.

Miriam is going to the county fair. Each ride ticket costs $2 and admission costs $7. Miriam has $25 to spend at the fair.

Answers

Answer:

Step-by-step explanation:

Given data

Ride ticket= $2

Admission= $7

Amount= $25

We want to find the greatest number of rides

let the number of rides be x

The expression to describe how she spends the amount is given as

y=7+2x

for y= 25, let us find x

25= 7+2x

25-7= 2x

18=3x

x= 18/2

x= 9

Hence the number of rides is 9

Find the absolute value. The absolute value of 5 is

Answers

Answer:

Step-by-step explanation:

you need to look at how far it is from a m=number line to find the absolute value

Answer:

Step-by-step explanation:

The reason it is 5, not -5, is because the absolute value can never be a negative number! Only positive. Remember that

Cheers! Hope you understand

a number, half of that number, and one-third of that number are added. the result is 22. what is the number?

Answers

Let the number be x.

Half of that number = x / 2
One third of the number = x / 3

= x / 2 + x / 3 = 22. LCM = 6.

= (3x + 2 x) / 6 = 22.

5x / 6 = 22. Cross multiply

5x = 6 * 22.

5x = 132 Divide both sides by 5.

x = 132 / 5

x = 26.4

The number is 26.4. Cheers.

Assume that 70% of the cars on a particular freeway are traveling faster than 70 miles per hour. A random sample of 8 cars was observed under normal driving conditions with no police car in sight. What is the probability that 7 or more of them were going faster than 70 miles per hour? A. 0.55 B. 0.30 C. 0.20 D. 0.26 E. 0.49

Answers

E. 0.49

A random sample of 8 cars were observed, under normal driving conditions with no police car in sight. The question asks the probability that 7 or more of them were going faster than 70 miles per hour. Let's try to solve this problem step-by-step.Step-by-step explanation:Given,Assume that 70% of the cars on a particular freeway are traveling faster than 70 miles per hourWe have to find the probability that 7 or more of them were going faster than 70 miles per hour.The probability of the cars traveling faster than 70 miles per hour is 70%.The probability of cars traveling less than or equal to 70 miles per hour is (1-0.7) = 0.3 (from the complement rule of probability).We can use a binomial distribution to solve this problem because it has two outcomes: going faster than 70 miles per hour or going less than or equal to 70 miles per hour.P(X = 7) + P(X = 8) = (8C7)(0.7)^7(0.3)^1 + (8C8)(0.7)^8(0.3)^0= 0.4907 ≈ 0.49Therefore, the probability that 7 or more cars were traveling faster than 70 miles per hour is 0.49. Therefore, the answer is E. 0.49.

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2/√3-1 where p and q are integers. Show your working clearly. (b) Express in the form p + √q