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Misha Larkins [42]
3 years ago
11

Write the equation for the word problem and solve. You bought a magazine for $5 and four erasers. You spent a total of $25. How

much did each eraser cost?​
Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Answer: each eraser cost 5 dollors                

Step-by-step explanation: Simplifying

25 = 5 + 4e

Solving

25 = 5 + 4e

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-4e' to each side of the equation.

25 + -4e = 5 + 4e + -4e

Combine like terms: 4e + -4e = 0

25 + -4e = 5 + 0

25 + -4e = 5

Add '-25' to each side of the equation.

25 + -25 + -4e = 5 + -25

Combine like terms: 25 + -25 = 0

0 + -4e = 5 + -25

-4e = 5 + -25

Combine like terms: 5 + -25 = -20

-4e = -20

Divide each side by '-4'.

e = 5

Simplifying

e = 5

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Compare and contrast the following two equations. Determine if they are linear equations and explain why or why not.
igor_vitrenko [27]

Answer:

xy = -1 and y = -1/x are the same.

They are not linear equations because they are not written in the form

Ax + By = C.

7 0
2 years ago
Ralph Chase plans to sell a piece of property for $155000. He
Mrrafil [7]

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:

a + b = 155000    (1)

Also:

0.1a + 0.08b = 14100    (2)

From both equations:

a = 85000, b = 70000

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
Write the equation of a line, in Point slope form that passes through (5,6) and has a slope of -3​
Mademuasel [1]

Answer:

y = -3x + 21

Step-by-step explanation:

(5,6)

y = mx + b

6 = -3 × 5 + b

solving for b

b = 6 - (-3)(5)

b = 21

Therefore,

y = -3x + 21

7 0
2 years ago
Simplify:<br><img src="https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B4%7D%283.5%29%20" id="TexFormula1" title="2 \frac{1}{4}(3.5)
V125BC [204]

9514 1404 393

Answer:

  7 7/8

Step-by-step explanation:

There are several ways to get there.

  2.25×3.5 = 7.875 = 7 7/8

  (2 1/4)(3 1/2) = (9/4)(7/2) = 63/8 = 7 7/8

  (2 1/4)(3.5) = 2(3.5) +(1/4)(3.5) = 7 + (2·3.5)/(2·4) = 7 +7/8 = 7 7/8

A typical graphing calculator will let you enter this problem directly, giving you a result either as a decimal, improper fraction, or a mixed number.

4 0
2 years ago
Points (3,1) and (1,4) lie on line k. What is the slope of the line that is perpendicular to k?
denis-greek [22]
First we need to find the slope of line k.  Using the slope formula, we fill in accordingly: m= \frac{4-1}{1-3}.  The slope is -3/2.  The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3).  You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals.  The slope you're looking for is 2/3.  Choice 3 above.
6 0
3 years ago
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