the price of a sweater was reduced from $20 to $12. by what percentage was the price of the sweater reduced?
A.8% B.80% C.60% D.40%
PLEASE HELP ME!!!!
Answer:
40%
Step-by-step explanation:
The original is $20. It is now 12/20 is ?/100
12*100=1,200/20=60 100-60=40%
Answer:
D. 40%
Step-by-step explanation:
ConceptsPercent ChangePercent change refers to how much, as a percentage, a quantity increases or decreases. The formula for percent change is [tex]\frac{FV-IV}{IV} * 100 = PC[/tex]. Keep in mind percent change is not negative, but can be written as 40% decrease or 40% increase.
FV = Final ValueIV = Initial ValuePC = Percent Change (%)ApplicationHow Does this Apply Here?We are being asked to find the percent change, or the change in the price of the sweater from $20 to $12. Thus, we will have to use the aforementioned formula. $20 is the initial value and $12 is the final value.
SolvingSolving for Percent Change
Step 1: Plug in values.
[tex]\frac{12-20}{20} * 100[/tex]Step 2: Simplify.
[tex]\frac{8}{20} * 100[/tex] [tex]800/20[/tex] [tex]40[/tex]Therefore, the answer is D. 40%.
solve: 7x+ 19 = -2X + 55
Answer:
x=4
Step-by-step explanation:
7x+ 19 = -2X + 55
+2x +2x
9x+19=55
-19 -19
9x=36
x=4
Answer:
x=4
Step-by-step explanation:
[tex]\hookrightarrow 7x+ 19 = -2x + 55\\\\\hookrightarrow 7x+2x=55-19\\\\\hookrightarrow 9x=36\\\\\hookrightarrow x=36/9\\\\\hookrightarrow x=4[/tex]
which of the following shapes are squares? please answer correctly I'll mark brainliest
All are technically squares, but if you are referring to just squares, then C and D are squares.
Bart wants to deposit his piggy bank savings into a savings account. If he deposits $325. 76, how many whole years will it take, at 2% simple
Interest, for that amount to grow to $400. 00?
A. 12 years
B. 4 years
C. 16 years
D. 8 years
Answer:
Step-by-step explanation:
Compounding interest :
Future value of money = Present value * (1+ r)^N
r - interest rate
n - number of period
In our example, Present value = 325.76, FV = 400, r = 2%, and we need to find N
by solving that we can find it that N is equal to 10.3675
Simple interest :
400 - 325.76 = 74.26$ we need to increase
325.76*2% = 6.5152$ each year
74.26 / 6.5152 = 11.3949
as a whole year = 12years
Which inequality represents the graph?
z≤-10 z≥-10
z-10 z<-10
K
+
-25-20 -15-10 -5
0
0
5
O
Answer: z _> -10
Step-by-step explanation:
Name the following triangle
Answer:
B
Step-by-step explanation:
sorry if im wrong
I really need help, I'm struggling. Question is in image.
Answer:
See below ~
Step-by-step explanation:
(a)
Original Temp : -7°FTemp change : 15°F⇒ -7°F + 15°F = 8°F(b)
Temp in Juneau = -28°FTemp in Montreal = -15°FDifference in temp = -28 - (-15)-28 + 15 = -13°F lowerSelect the correct answer.
Which statement describes the solutions of this equation?
x/x+2+1/x=1
Answer:
~Senpi boi here~
Step-by-step explanation:
Multiply all terms by x and cancel:
x+2x+1=1x
3x+1=x(Simplify both sides of the equation)
3x+1−x=x−x(Subtract x from both sides)
2x+1=0
2x+1−1=0−1(Subtract 1 from both sides)
2x=−1
2x
2
=
−1
2
(Divide both sides by 2)
x=
−1
2
Check answers. (Plug them in to make sure they work.)
x=
−1
2
(Works in original equation)
Answer:
x= −1/2
(Hope this helps!)
Could someone help me with this? I need to solve for X. Here is the problem.
The two angles given are vertical angles, which mean they are equal to each other.
2x + 2 = 3x -52
Add 52 to both sides:
2x + 54 = 3x
Subtract 2x from both sides:
54 = x
Rewrite as x = 54
Answer: x = 54
Given that f (x) =x^2 -10x +24 and g (x) =x - 6, find f (x) - g (x) and express the result in standard form
Answer:
x^2 + 9x + 30 = 0
Step-by-step explanation:
Given: f(x) = x² – 10x + 24
g(x) = x – 6
f(- x) = g(x) :
(-x)² - 10(- x) + 24 = x - 6
x² + 10x + 24 - x + 6 = 0
Result: x² + 9x + 30 = 0
Answer:
Y = (x - 11/2)^2 -1/4
Step-by-step explanation:
subtract g(x) to f(x)
f (x) - g (x) = x^2 -10x +24 -x + 6
f (x) - g (x) = x^2 -11x +30
Let's call Y
Y = x^2 -11x +30
The standard form is by definition as Y = a (x-b)^2 + h
In this specific case:
Y = (x - 11/2)^2 -121/4 + 30
Y = (x - 11/2)^2 -1/4
Solve the inequality 20 – 6x < -10.
Answer:
x = 5
Step-by-step explanation:
i beg <3
what is the domain? a. (-infinity, infinity) b. (-infinity,4) c. (-4,4) d. (0,4) what is the range? a. (-infinity, infinity) b. (-infinity,4] c. [-4,4] d. (0,4)
Answer:
Given:
A set of functions,
A. y = -(x-4)^2
B. y=3(x- 4)^2
C. y = [x] + 4
D. y = -5x + 4.
To Find:
The function whose range is (-infinity, 4].
Solution:
1. The function y = -(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).
2. The function y = 3(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).
3. y = [x] + 4 (where [x] = greatest integer function). This function is an increasing function with a minimum value towards negative infinity and the maximum value tends towards the positive side of infinity.
=> Range of y = [x] + 4 is (-infinite, infinite).
4. y = -5x+4 is a continuous increasing function without any exceptions.
=> Range of y = -5x+4 is (-infinite,infinite)
Therefore, none of the functions has their range from (-infinity,4].
Step-by-step explanation:
A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is
16π square units. What is the length of the radius of the cylinder?
Answer:
2 units!
Step-by-step explanation:
Answer: 2 units
HELP!!!
is the following relation a function?
yes or no?
Answer:
I think the answer is no
Step-by-step explanation:
It's been awhile but if I remember correctly a function cannot be a parabola (this graph) because it does not pass the vertical line test. If there are two points on a vertical line it is not a function. Hope this helps!
City Hall is 4 meters shorter than the bank. The bank is 13 meters tall. The hospital is 11 meters tall. How tall is City Hall?
Answer:
The answer is 9
Because the 4 meters short than bank and ban is 13 meters
So subtract 13 - 4=9
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE5pts and whoever has the correct answer gets brainliest
Answer:
B
Step-by-step explanation:
Simplify and solve the following expression: (x + 5)= x?
Step-by-step explanation:
How to solve your problem
(x+5)=x
Solve
1
Subtract
5
from both sides
x+5=x
x+5
2
Simplify
Subtract the numbers
x=x-5
3
Subtract
x
from both sides
x=x-5
Simplify
Combine like terms
Combine like terms
0=-5
Result
0=-5
The input is a contradiction: it has no solutions
Answer:
x=x-5 or 0=-5
Step-by-step explanation:
subtract 5 from both sides
about 2/5 of Joys cottage property is covered with trees. About 21 km2 are open fields. In Km2, how much of her property is covered in trees
Fractions are written as the ratio of two integers. 8.4km^2 of her property are covered in trees
Ratios and proportionsFractions are written as the ratio of two integers
Given the following parameters
total area of open field = 21km^2
If 2/5 of Joys cottage property is covered with trees, the amount covered in trees is expressed as:
Amount covered in trees = 2/5 * 21
Amount covered in trees = 42/5
Amount covered in trees = 8.4km^2
Hence 8.4km^2 of her property are covered in trees
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whats the minimum and maximum value of f(x)=3(x+8)^2−10
Answer:
(-8,-10)
Step-by-step explanation:
Rewrite (x+8)2(x+8)² as (x+8)(x+8).
f(x)=3((x+8)(x+8))−10
Expand (x+8) (x+8) using the FOIL Method.
Apply the distributive property.
f(x)=3(x(x+8)+8(x+8))−10
Apply the distributive property.
f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
f(x)=3(x2+x⋅8+8x+8⋅8)−10
Move 8 to the left of x.
f(x)=3(x2+8⋅x+8x+8⋅8)−10
Multiply 8 by 8.
f(x)=3(x2+8x+8x+64)−10
Add 8x and 8x.
f(x)=3(x2+16x+64)−10
Apply the distributive property.
f(x)=3x2+3(16x)+3⋅64−10
Simplify.
Multiply 16 by 3.
f(x)=3x2+48x+3⋅64−10
Multiply 3 by 64.
f(x)=3x2+48x+192−10
Subtract 10 from 192.
f(x)=3x2+48x+182
The minimum of a quadratic function occurs at x=[tex]-\frac{b}{2a}[/tex] If a is positive, the minimum value of the function is f ([tex]-\frac{b}{2a}[/tex]).
Substitute in the values of aa and b.
x=−[tex]\frac{48}{2(3)}[/tex]
x=-8
Replace the variable x with −8 in the expression.
f(−8)=3(−8)2+48(−8)+182
Y=-10
Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.
The high school decided to buy
the track team new uniforms. The
total cost is $1235. The school gets
a special 15% discount if they
order this week. How much is the
discount?
find the area plssssssssssssssssss
Answer: 32 m^2
Step-by-step explanation:
first set up your equation; A=A rectange - 2(A square). The you plug in your numbers A = 40-2(4). The you do 40-8 = 32
The sum of j and 7 is 55. Solve for j.??
Gabriella needs 120 meters of fence to surround a rectangular garden.
The length of the garden is three times its width, w.
How wide is the fence?
Please try to include a Screenshot with the answer
Answer:
the width is 1.5meters
Step-by-step explanation:
the perimeter of the fence is 120m
the perimeter= 3w+w+3w+w
120= 3w+w+3w+w
120= 8w
w=1.5m
Answer:
15m
Step-by-step explanation:
Well, she needs 120 meters, which means we already know the circumference (P). P is the sum of all sides.
The lenght (a) is 3 times the width(b).
a = 3b.
Which means if a is x then b is equal to 3x
Since P is the sum of all sides, P is equal to 2a + 2b or 2x + 2*3x = 2x + 6x = 8x
120 = 8x. We are now left with an equation that has one variable only, all we need to do is to divide 120 by 8 to find what x is equal to.
8x = 120
x = 120 / 8
x = 15
We know that width(a) is equal to x, so that's the answer.
Here's a solution you can write:
P = 120m
w = x
l = 3w = 3x
P = 2w + 2l
P = 2*x + 2*3x
P = 2x + 6x
P = 8x
8x = 120
x = 120 / 8
x = 15
w = x -> w = 15m
Which statement is correct about the period of the function y = sin x?
A) There are 180° in a unit circle, so the period is 180°
B) There are 180° in a unit circle, so the period is 360°
C) There are 360° in a unit circle, so the period is 180°
D) There are 360° in a unit circle, so the period is 360°
Answer:
C
Step-by-step explanation:
The function sine of 'x' repeats its value after a full rotation of π radians. In degrees, that would be 180 degrees. On a unit circle, the sine is the y-component at any point along the circumference of the circle. In the first two quadrants, the y-component is the exact same until you exceed a rotation of 180 degrees. The degree of a circle is 360 degrees, therefore the answer would be C.
a rectanguler tank with a base area of 24 cm is filled with water and oil to the depth of 9cm
Answer:
The Volume is 216
Step-by-step explanation:
When finding volume you do base times height. Since depth is like height, you mulitply them and get 216.
what is the surface area, in square inches, of the rectangular prism formed by folding the next below?
Therefore, the surface area of the rectangular prism is 2600 square inches.
What is surface area?In geometry, surface area is the total area that the surface of a 3-dimensional object covers. It is the sum of the areas of all the faces or surfaces that make up the object. Surface area is often used to determine the amount of material needed to cover an object or to calculate the heat transfer between an object and its surroundings.
Here,
To find the surface area of the rectangular prism, we need to find the area of each of its faces and add them together. Looking at the net, we see that there are three pairs of identical rectangles: the top and bottom faces, the front and back faces, and the left and right faces. Each of these rectangles has dimensions of 23 inches by 8 inches.
Therefore, the surface area of the rectangular prism is:
=2 * (23 in. * 8 in.) (top and bottom faces)
=2 * (36 in. * 8 in.) (front and back faces)
=2 * (23 in. * 36 in.) (left and right faces)
= 368 + 576 + 1656
= 2600 square inches
To know more about surface area,
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What are the exact values of the six trigonometric functions for negative startfraction 7 pi over 6 endfraction radians?
The exact values are;sin -7π/6 = 0.5; cos -7π/6 = -√3/2; tan -7π/6 = -1/√3; sec -7π/6 = -2/√3; csc -7π/6 =2; cot -7π/6 = -√3
How to work with unit circle of trigonometric functions?We want to find the six trigonometric functions for -7π/6 radians.
It should be noted that;
7π/6 radians = -210° degree = -210 +360 = 150° = 5π/6
From the definition of unit circle and applying to what we have here, we can express them as;
sin -7π/6 = 0.5
cos -7π/6 = -√3/2
tan -7π/6 = -1/√3
sec -7π/6 = -2/√3
csc -7π/6 =2
cot -7π/6 = -√3
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Use the drop-down menu to complete each statement. according to this graph, at $10 the quantity supplied is about . as the price of the good rises, the quantity supplied will .
Answer:
14
increase
Step-by-step explanation:
Answer:
14, increase
Step-by-step explanation:
For x2 + 3x - 18 = (x - 3)(x + a), what value
of a would make this equation true?
HELP TAKE YOUR TIME°!!!
FOR MY SISTER
Answer:
1.15
2.1
3.3
45
5.3
6.8
7.4
8.5
9. 24
Step-by-step explanation:
Carry on learningAnswer:
1. 15
2. 1
3. 3
4. 2.5
5. 3
6. 8
7. 4
8. 5
9. 24
10. 6
11. 3
12. 52
13. 44
14. 38
15. 24
16. 12
17. 2
18. 12
Step-by-step explanation: