The solution to the algebraic expression is: 23e - 21g - 14j + 32
What are algebraic expressions?
Algebraic expressions are mathematical expressions that contain variables, coefficients, and arithmetic operations such as addition, subtraction, division, and multiplication.
Solving algebraic expressions are an important part of mathematics as it helps to improve the aptitude and solving skills of the students.
From the given information, we have;
23j - 21g + 20e - 13 + 52e - 37j + 45 - 49e
let's rearrange by taking the like terms to the same sides;
= 23j -37j - 21g + 20e + 52e - 49e - 13 + 45
= -14j - 21g + 23e + 32
= 23e - 21g - 14j + 32
Therefore, we can conclude that the solution to the algebraic expression is: 23e - 21g - 14j + 32
Learn more about solving algebraic expressions here:
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Answer:
B) -1-6 x +15 = x - 15 +15
Step-by-step explanation:
<u>Explanation</u>:-
Given equation is –1 – 6 x = x – 15
<em>By addition property of equality </em>
<em> ⇒ - 1 - 6 x + 15 = x - 15 +15</em>
⇒ - 6 x + 14 = x
subtracting 'x' on both sides ,we get
⇒ - 6 x -x +14 =0
⇒ - 7 x +14 =0
⇒ -7 x = - 14
Dividing '-7' on both sides , we get
x = 2
<em>The solution of given equation is x = 2</em>
Answer: 
Step-by-step explanation:
Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.
Notice that there are two similar triangles.
So, you can set up the following proportion:
Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".
Therefore, the value of "h" is :
Original Perimeter = 2.5 + 2.5 + 1.5 + 1.5 = 8
The longer dimension is 2.5 as 2.5 > 1.5To make 2.5 into 10, we must multiply by 4For the smaller length, we must also multiply by 41.5 x 4 = 6
New Perimeter = 10 + 10 + 6 + 6 = 32
Now find the difference between the old and the new perimeter32 - 8 = 24
<em>*No units were specified - if included, remember to put them in your answer.</em>
