Laura is thinking of a number such that the sum of the number and five times two more than the number is 26 more than four times the number. Determine the number Laura is thinking of.

Answers

Answer 1

Answer:

Final answer:

This problem involves creating an algebraic equation from the word problem. When translated and solved, the equation reveals that the number Laura is thinking of is 8.

Explanation:

This is a Mathematics problem that involves an understanding of algebraic expressions and equations. The best way to approach such problems is to translate the word problem into an algebraic equation.

Let the number Laura is thinking of be x. Then, according to the problem, the sum of the number and five times two more than the number is 26 more than four times the number. So we end up with the equation: x + 5 * (x + 2) = 4x + 26.

Expanding the equation, we get: x + 5x + 10 = 4x + 26. This simplifies to: 6x + 10 = 4x + 26.

By rearranging the equation, we can find the value of x: 6x - 4x = 26 - 10. Therefore, 2x = 16, and finally x = 16 / 2 = 8.

So, the number Laura is thinking of is 8.

Learn more about Algebraic Equations here:

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Answer 2

Answer:

Answer:

Step-by-step explanation:

Let x be the unknown number.

Then the equation is

x + 5*(x+2) = 4x + 26.

Solve it:

x + 5x + 10 = 4x + 26.

6x - 4x = 26 - 10,

2x = 16,

x = 16%2F2 = 8.

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A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

Answers

A system of linear equations can have no solution if the lines are parallel to each other. Looking at the given equation, it has a slope of 8. Any different equation having the same slope will belong to the system of equation without solution. So, the family of equations is:
y = 8x + k
where k is any real number but not equal to 7

Answer:

Step-by-step explanation:

Solve the equation.

5x>20

Answers

Answer:

x > 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

5x > 20

Step 2: Solve for x

Divide 5 on both sides: x > 4

Here we see that any value x greater than 4 would work as a solution to the inequality.

A calculator was purchased for $29. The wholesale cost was $20. What was the percent markup?

Answers

If you would like to find the percent markup, you can calculate this using the following steps:

x% of $20 is $29
x% * 20 = 29
x/100 * 20 = 29
x = 29 * 100 / 20
x = 145%

145% - 100% = 45%

The correct result would be 45%.

(Picture Attached)20 Pts:

Which of the following completes the proof? (6 points)

By the midpoint formula

By definition of congruence

Given

By construction

Answers

by the mid point formula is my best guess

in 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000. find the avarage rate of change in the number of acres in a region used to grow nuts from 2004 to 2011

Answers

Consider the (x, y) coordinates to be: (2004, 510000) and (2011, 830000).

Average rate of change is another name for slope, So, use the slope formula: $m = (y2 - y1)/(x2 - x1)$

$m = (830,000 - 510,000)/(2011 - 2004)$

$m = (320,000)/(7)$

Answer: 320,000 acres every 7 years

Answer: 45714 per year.

Step-by-step explanation:

Given : In 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000.

Change in acres of farmland from 2004 to 2011 = 830000-510000=320,000

Change in year = 2011-2004=7

The average rate of change is given by :-

$\frac{\text{Change in acres of farmland}}{\text{Change in year}}\n\n=(320000)/(7)=45714.2857143\approx45714 \text{[Rounded to the nearest integer.]}$

Hence, the average rate of change in the number of acres in a region used to grow nuts from 2004 to 2011 is 45714 per year.

(04.01 LC) The vertices of a quadrilateral ABCD are A(1, -3), B(4, -3), C(4, -5), and D(-1, -5). The vertices of another quadrilateral EFCD are E(1, -7), F(4, -7), C(4, -5), and D(-1, -5). Which conclusion is true about the quadrilaterals? (5 points) The shape of the quadrilaterals is same but their areas are different. The ratio of their corresponding sides is not equal. The measures of the corresponding angles are different. The angles and sides overlap when one quadrilateral is placed on the other.

Answers

The answer is D: The angles and sides overlap when one quadrilateral is placed on the other

Answer:

Taking the test rn and its D!!

Step-by-step explanation:

I will lyk if its right when i submit!!!

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