4.45/5 = .89 ea therefore if you multiply .89 by 7 you would get $6.23
Answer:
See below.
Step-by-step explanation:
So, we know that Noah's purchase can be modeled by the equation:
Part 1)
The solution to the equation will be the value of x.
In this case, x will represent the original price of the jeans.
We know that Noah has a coupon for 10% off the <em>original price of the jeans</em>.
So, 0.1x will represent how much of the original price Noah gets a a discount on.
Therefore, (x - 0.1x) represents the total cost of the jeans <em>after</em> the coupon.
So, x is our original price of the jeans.
Part 2)
To verify that 70 is <em>not</em> a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:
Multiply:
Subtract:
Add:
However, we <em>can</em> verify that 60 <em>is</em> the solution by substituting. So, substitute 60 for every x:
Multiply:
Subtract:
Add:
So, 60 is indeed the solution and is the value of x.
So, this means that $60 was the original price of the jeans.
Answer:
c = -1
Step-by-step explanation:
3(c+5)=12
3 × c = 3c
3 × 5 = 15
3c + 15 = 12
<u> - 15 -15</u>
3c = -3
c = -3 ÷ 3 = -1
Check:
3(-1+5)=12
-3 + 15 = 12
let's first off take a look at the <u>tickmarks</u>, three <u>side tickmarks</u>, so all those 3 sides are equal, all have a length of y - 25, so is an equilateral triangle.
there are two <u>angle tickmarks</u>, meaning those two angles are equal, wait a second! if those two angles are equal, that means is an isosceles triangle.
now, in an equilateral triangle, all sides are equal, but also all angles are equal, since the sum of all interior angles is 180°, then each angle is really 60°.
let's notice that angle on the upper-left-corner, is a right-angle, but 60° are on the equilateral triangle, and so the remaining 30° must be on the isosceles triangle.
the isosceles triangle has then a vertex of 30°, and twin angles, the twin angles let's say are each a° so then
30° + a° + a° = 180°
30 + 2a = 180
2a = 150
a = 75° = y
now, let's recall, the isosceles triangle has twin angles but it also has twin sides, so the side "x" and the side with the tickmark are equal.
well, we know that y = 75, so the sides with the tickmark are then (75) - 25 = 50 = x.
<u>Answer</u>
26.6°
<u>Explanation</u>
You are required to use the trigonometric ratio, sine, to find that angle.
SinФ = opposite/hypotenuse
sin Θ = 2.6/5.8
= 0.4483
The angle Θ = Anti-sine(0.4483)
= 26.633°
The angle the slide makes with the ground, correct to one decimal place is 26.6°
