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-BARSIC- [3]
2 years ago
5

The original price of a Shirt was $45. In sales, the shirt is reduced to $32.50. Calculate the percentage reduction.

Mathematics
1 answer:
Klio2033 [76]2 years ago
8 0

Answer:

27.8%

Step-by-step explanation:

\frac{32.5}{45} =0.722

0.722 = 72.2%

The % reduction is:

(100-72.2)% = 27.8%

Hope this helps

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Point C ∈ AB and AB=18 cm. The distance from C to A is 3 cm. shorter than the distance from C to B. Find AC and CB.
gogolik [260]

Answer:

AC=7.5 cm

CB=10.5cm

Step-by-step explanation:

Since we don't know the distance from C to B, we can label it as x. Our equation will be x+(x-3)=18. Simplify that so it is 2x-3=18. Add 3 to both sides and get 2x=21. x=10.5 So AC=7.5 cm and CB is 10.5 cm

7 0
3 years ago
How to find the midpoint of a line segment with 2 given point?
lorasvet [3.4K]
If the 2 given points are endpoints, then we're in business.  The formula for the midpoint is M=( \frac{ x_{1}+ x_{2}  }{2}, \frac{ y_{1} + y_{2} }{2}).  If the endpoints of our segment are the coordinates (1,2) and (12,14), our formula would be filled in as follows: M=( \frac{1+12}{2}, \frac{2+14}{2}) which simplifies to (13/2, 8).  See?  It's pretty simple once you know how to do it.
7 0
3 years ago
X to the second power + 6x - 7 = 0
velikii [3]
X can equal -7 or 1
X = -7 and 1
6 0
3 years ago
Find the volume of a cube<br> whose surface area is 150<br> ft2?
Brrunno [24]

Given:

  • Surface area of cube = 150 ft²

To Find:

  • Volume of cube

Solution:

As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

We know that,

\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface  \: area_{(Cube)} = 6a^2  \\  \\

Substituting the required values,

\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:   \frac{150}{6}   =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:  \sqrt{25}  = a \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\  \\

  • Edge of the cube is 5 feet

Now,

\: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (edge)^3 \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (5)^3 \\  \\ \: \: \: \:\dashrightarrow \sf \: \: \: \: {\underline{\boxed{\sf{\pink{Volume =125 \: {ft}^{3}}}}}}  \\  \\

Hence,

  • Volume of the cube is 125 cu. feet
7 0
2 years ago
Read 2 more answers
Solve the following equation by factoring: x^2+ x– 42 = 0
Anastaziya [24]

Answer:

x=6,x=-7

Step-by-step explanation:

x^2+x-42=0

x^2-6x+7x-42=0

x(x-6)7(x-6)=0

(x-6)(x+7)=0

3 0
2 years ago
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