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makkiz [27]
3 years ago
15

A violin originally costs $700, but it is on sale for 15% off. If a customer buying the violin has a gift card for $60.00, what

will his final price be on the violin after using the gift card?
Mathematics
2 answers:
Triss [41]3 years ago
8 0
Convert the percent to a decimal
.15

Then, multiply 700 by 0.15 = 105.
Next, add 60 to 105 to get 165.

Finally, do 700-165=535.

Answer: $535
Alexeev081 [22]3 years ago
5 0
Hello!

First, we must find out how much the $15 discount is worth and subtract it from the cost of the violin.

700 × 15% = 105

700 - 105 = 595

Next, subtract the gift card's worth ($60) from this discounted price.

595 - 60 = 535

Therefore, the final price of the violin is $535.
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A ladder of length 8m rests against a wall so that the angle bsetween the ladder and wall is 45 degree .How far is the base of t
Kitty [74]
Answer: 8√2

Explanation: Use the 45-45-90 theorem to solve.

45 45 90
s s s√2
8√2 8√2 8
8 0
3 years ago
HELPPP!!
schepotkina [342]

Answer:

Step-by-step explanation:

Comment

A rational number is one that can be expressed as x/y. The first statement is false. All whole numbers are rational. They can always be expressed as x/1

Some rational numbers are not whole numbers. That's true. 4/7 is rational but not whole.

Some irrational numbers are not integers. I'm tempted to say this is true.

pi is irrational and it certainly is not an integer.

Answer

false

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true.

7 0
2 years ago
Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre
andrew-mc [135]

Answer:

The area function is

A=\frac{135}{2}x-\frac{9}{2}x^2.

The domain and range of A is (0,15m) and (0, 253.125 m^2].

Step-by-step explanation:

The given length of fencing is 90 m.

Let the length and width of each pen be x and y respectively as shown in the figure.

As there are 3 pens, so, the total area,

A= 3 xy \;\cdots (i)

From the figure the total length of fencing is 6x+4y.

Here, for a significant area for the animals, x>0 as well as y>0 as x and y are the sides of ben.

From the given value:

6x+4y=90\;\cdots (ii)

\Rightarrow  y=\frac {45}{2}-\frac{3x}{2}

Now, from equation (i)

A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)

\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)

This is the required area function in the terms of variable x.

For the domain of area function, from equation (ii)

x=15-\frac{2y}{3}

\Rightarrow x [as y>0]

So, the domain of area function is (0,15m).

For the range of area function:

As x \rightarrow 0 or y\rightarrow 0, then A\rightarrow 0 [from equation (i)]

\Rightarrow A>0

Now, differentiate the area function with respect to x .

\frac {dA}{dx}=\frac{135}{2}-9x

Equate \frac {dA}{dx}  to zero to get the extremum point.

\frac {dA}{dx}=0

\Rightarrow \frac{135}{2}-9x=0

\Rightarrow x=\frac{15}{2}

Check this point by double differentiation

\frac {d^2A}{dx^2}=-9

As,  \frac {d^2A}{dx^2}, so, point x=\frac{15}{2} is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2

\Rightarrow A=253.125 m^2

Hence, the range of area function is (0, 253.125 m^2].

4 0
4 years ago
Which points can be used in the diagram as the third vertex to create a right triangle with hypotenuse XY? Select all that apply
Serga [27]

Answer:

(-2,-2) and (3,4)

Step-by-step explanation:

Edge 2020

7 0
3 years ago
Read 2 more answers
How many three-digit positive integers have three different digits and at least one prime digit?
Blababa [14]

The number of three-digit positive integers that have three different digits and at least one prime digit are 7960.

The only two components in prime numbers are 1 and the number itself.

Any whole number greater than one is a prime number.

It has exactly two factors—1 and the actual number.

There is just one 2-digit even prime number.

Every pair of prime numbers is always a co-prime.

The product of prime numbers can be used to represent any number.

Three-digit positive integers that have three different digits and at least one prime digit = 3!*4!*10*9 = 7960

Learn more about prime numbers here:

brainly.com/question/145452

#SPJ1

6 0
2 years ago
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