Answer:
x<-11/2
Step-by-step explanation
Try to isolate the variable by dividing it.
Answer: The length of the rectangle is 35 in.
The width of the rectangle is 28 in.
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Explanation:
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The formula for the area, "A", of a rectangle:
Area (A) = length (L) * width (w) ;
that is: " A = L * w " ;
A = 980 in² (given);
ratio of the length to the width is: " 5 : 4 " (given);
→ Find the length (L) and the width (w).
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→ 980 in² = (5x) * (4x) ;
in which: " 980 in² " is the area of the triangle;
" 5x" = the length (L) of the rectangle, for which we shall solve;
" 4x" = the width (w) of the rectangle, for which we shall solve.
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If we find solve for "x" ; we can solve for "5x" and "4x" (the "length" and the "width", respectively); by plugging in the solved value for "x" ;
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→ 980 in² = (5x) * (4x) ;
↔ (5x) * (4x) = 980 in² ;
→ (5x) * (4x) = (5) * (4) * (x) * (x) = 20 * x² = 20x² ;
→ 20x² = 980 ;
Divide each side by "10" ; by canceling out a "0" on each side of the equation:
→ 2x² = 98 ;
Now, divide each side of the equation by "2" ;
→ 2x² / 2 = 98 / 2 ;
to get:
→ x² = 49 ;
Now, take the "positive square root" of each side of the equation; (since a "length or width" cannot be a "negative value") ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ ⁺√(x²) = √49 ;
to get:
→ x = 7 ;
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Now, we can solve for the "length" and the "width" ;
→ The length is: "5x" ;
5x = 5(7) = " 35 in " ;
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→ The width is: "4x" ;
4x = 4(7) = "28 in."
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Let us check our answer:
→ A = L * w ;
→ 980 in² = ? 35 in. * 28 in. ?? ;
Using a calculator: "35 * 28 = 980" . Yes! ;
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{ Also note: " in * in = in² " ? Yes! } .
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Answer:
C. -3/7
Step-by-step explanation:
Irrational numbers: cannot be written as a fraction
Rational numbers: can be written as a fraction
The only option that contains a fraction, is C
Hope this helps!
The description shows a linear relationship and a proportional relationship.
<h3>How to describe the given relationship?</h3>
The given parameters are:
Charger = $15 per game
Customers are not charged to rent bowling shoes.
The statement "Customers are not charged to rent bowling shoes" means that the linear function has no y-intercept
So, the linear function can be represented as
y = Charges * x
This gives
y = 15x
Linear functions that are proportional functions are represented as y = mx
In this case, y = mx represents y = 15x
Hence, the description shows a linear relationship and a proportional relationship.
Read more about proportional relationship at
brainly.com/question/12242745
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Y= 4 is perpendicular to the x- axis
The x- axis is the horizontal line, and the y- axis is the vertical line
