An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>required</em> answers are:
i. Distance from Chenoa's <u>house</u> to the <em>coffee shop</em> = 6.0 miles
ii. D<u>istance</u> from <em>coffee shop</em> to Chenoa's <u>school</u> = 1.5 miles
iii. <em>Distance</em> from Chenoa's <u>house</u> to her <u>school</u> = 7.5 miles
An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>alphabet</em> is referred to as the <u>unknown</u> whose <u>value</u> has to be <em>determined</em>.
In the given question, let the <u>distance</u> from the <em>coffee shop</em> to Chenoa's <u>school</u> be represented by y.
So that;
The <u>distance</u> from Chenoa's house to the <em>coffee shop</em> = (2y + 3) miles.
The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school </u>= 5y.
This implies that:
(2y + 3) + y = 5y
3y + 3 = 5y
3 = 5y - 3y
2y = 3
y =
= 1.5
The <em>distance</em> from the <em>coffee shop</em> to Chenoa's <u>school</u> is 1.5 miles.
Thus;
(2y + 3) = ( 2(1.5) + 3)
= 6
The <u>distance</u> from Chenoa's <u>house</u> to the <em>coffee shop</em> is 6 miles.
And,
5y = 5(1.5)
= 7.5
The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school</u> is 7.5 miles.
For more clarifications on algebraic expressions, visit: brainly.com/question/12792264
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Answer: x=3
(2/3)^x (3/2)^2x = 27/8
(3/2)^-x (3/2)^2x = 27/8
(3/2)^-x+2x = 27/8
(3/2)^x = 27/8
(3/2)^x = 3^3/2^3
(3/2)^x = (3/2)^3
x=3
Answer:
Step-by-step explanation:
Henry subtracted ( 3p+5)/3p from ( and got
We have simplify the difference
= =
=
(x - 3)(x - 5) = 35
Simplify the left side.
x² - 5x - 3x + 15 = 35
Add your like terms.
x² + (-5x - 3x) + 15 = 35
Simplify.
x² - 8x + 15= 35
Simplify.
x² - 8x + 15 = 35
Subtract 35 from both sides of the equation.
x² - 8x + 15 - 35 = 35 - 35
Simplify.
x² - 8x - 20 = 0
Then, you simply factor out the left side of our equation.
(x + 2)(x - 10) = 0
Set it so that each factor equals zero. This basically just means that you take each equation inside the parenthesis and you make them equal zero.
x + 2 = 0 AND x - 10 = 0
x + 2 = 0
Subtract 2 from both sides.
x = -2
x - 10 = 0
Add 10 to both sides.
x = 10
So, x = -2 AND x = 10
So, you got your answer wrong.
~Hope I helped!~