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2 years ago

A shop is having a 10% off sale. Find the sale price of a cap which normally costs $12?

Mathematics

1 answer:

Ganezh [65]2 years ago

4 0

Answer: $10.8

Step-by-step explanation: To do this, we need to find 90% of $12 because the cap is 10% off. We can do this by multiplying 12 by 0.9. 12 x0.9 = 10.8.

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What is the value of the expression (3a-b)/(6(b+a) when a = 4 and b = -2?

Radda [10]

Answer:

5/8 or 0.625

I hope this helped!

6 0

3 years ago

A circular mirror is surrounded by a square metal frame the radius of the mirror is 2X the side length of the metal frame is 6X

vovangra [49]

Answer:

Area of the metal frame is $23.43x^2$ .

Step-by-step explanation:

Given:

Radius of circular mirror = $2x$

Side length of the metal frame = $6x$

We need to find the area of the metal frame.

Solution:

First we will find the area of the whole thing.

area of the whole thing is in square shape we can say that;

area of the whole thing is equal to square of the length of the metal frame.

framing in equation form we get;

area of the whole thing = $(6x)^2 = 36x^2$

Now we will find the area of the circular mirror.

Since mirror is in circular form we will use area of the circle.

So area of circular mirror is equal to π times square of the radius.

framing in equation form we get;

area of the circular mirror = $\pi r^2 = \pi(2x)^2 = \pi 4x^2 = 12.57x^2$

Now to find the area of the metal frame surrounded my the mirror we will subtract area of the circular mirror from area of the whole thing.

framing in equation form we get;

area of the metal frame = $36x^2-12.57x^2 = 23.43x^2$

Hence Area of the metal frame is $23.43x^2$ .

6 0

3 years ago

Read 2 more answers

Solve the system of linear equations by elimination.<br><br> 9x−2y=349x−2y=34<br> 5x+2y=−6

stealth61 [152]

So combine all the x and the Y on the left side and the coefficients on the right and then multiply the variable (x or Y) by the number needed for both. and then whichever variable you have left (x or y) will equal the coefficient and then divide by the coefficient

4 0

3 years ago

A rectangular park is 6x + 2 ft long and

Novosadov [1.4K]

Answer: 18x^2 + 48x - 50

Step-by-step explanation: In order to determine the area of the rectangle not covered by the turtle pond, we shall calculate the area of the square pond and subtract it from the area of the rectangle.

The area of the square is given as

Area = L x B, where A and B are of equal measurement (sides of a square)

Area = 8 x 8

Area = 64 ft^2

Next we calculate the area of the rectangle which is given as

Area = L x B, where L = 6X + 2 and W = 3X + 7

Area = (6X + 2) (3X +7)

Area = 18X^2 + 42X + 6X + 14

Area = 18X^2 + 48X + 14

We can now subtract the area of the square from the area of the rectangle

That is Area of the shaded region

= 18X^2 48X + 14 - 64

= 18X^2 + 48X - 50

Therefore, the area of the shaded region = 18X^2 + 48X - 50

5 0

3 years ago

Y= (x-9) (x+3)

juin [17]

Answer:

y = x² − 6x − 27

Step-by-step explanation:

To distribute, you can use something called FOIL. It stands for First, Outer, Inner, Last.

First, multiply the First term in each factor.

x · x = x²

Now multiply the Outer terms in each factor.

x · 3 = 3x

Next multiply the Inner terms in each factor.

-9 · x = -9x

Finally, multiply the Last terms in each factor.

-9 · 3 = -27

Add them all up:

x² + 3x − 9x − 27

x² − 6x − 27

4 0

3 years ago