Answer:
No. Lauren cannot buy the shirt. It costs $48 after the discount.
Step-by-step explanation:
Shirt Cost: $80
Money: $35
Discount: 40%
First, find the amount of the discount by finding 40% of the price. 40% is equal to 0.40 (or 40 divided by 100).
40% of $80 = 0.40 x 80 = $32
Since it's a discount, the final price is the original price minus the discount.
$80 - $32 = $48
So, after a 40% discount, the price is still $48. Lauren only has $35, so it will still be too expensive!
Answer:
Step-by-step explanation:
Find the equation of the segment going from (0,-5) to (3,7)
y intercept = -5
Slope = (-5 - 7) / (0 - 3) = -12/-3 = 4
equation: y = 4x - 5
g(x) = x^2 / f(x)
f(x)= (4x - 5)
g(x) = x^2 / (4x - 5)
g'(x) = x^2 * (4x - 5)^-1
g'(x) = 2x*(4x - 5)^-1 + (-1) *4* x^2 (4x - 5)^-2
I will leave that monster the way it is and just find g'(1)
g'(1) = 2(1) * (4(1) - 5)^-1 + (-1) (1)^2 *4* (4(1) - 5)^-2
g'(1) = 2(1) * (-1)^-1 + (-1) (1)^2 *4 * (-1)^2
g'(1) = -2 + (-1) (1)^2 (4)
g'(1) = - 2 + (-1) (1)^2 (4)
g'(1) = - 2 - 4
g'(1) = - 6
Answer:
3.5 inches
Step-by-step explanation:
We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.
Since they are similar figures, their corresponding sides are proportional.
The 4 inch side of left figure corresponds to 16 in side of right side figure.
The "?" inch side of left figure corresponds to 14 in side of right side figure.
We can replace "?" with "x" and setup two ratios and equate them:
Now, we can cross multiply and solve for x:
Hence,
the unknown side marked "?" is equal to 3.5 inches
Perimeter:
The perimeter of the triangle is the sum of its sides.
We have then:
P = 8 + 12 + 10
P = 30 units
Semi-perimeter:
In geometry, the semiperimeter of a polygon is half its perimeter.
s = P / 2
s = 30/2
s = 15 units.
Area:
Knowing the semiperimeter and the sides, the area is:
A = root (s * (s-a) * (s-b) * (s-c))
where,
s: semi-meter
a, b, c are sides.
A = root (15 * (15-8) * (15-12) * (15-10))
A = 39.68626967
A = 40 units ^ 2
Answer:
I think this question needs more information.
Step-by-step explanation:
to figure out 110% of the students who walk, we need to know how many students walked to school.
