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lukranit [14]
3 years ago
13

A pair of boots has an original price of $95. they are on sale for 35 percent off. what number can you multiply $95 by to equal

the discounted price of $61.75?
Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0
Multiply it by .35
.35 is equal to %35.
5g5f55f5f
2 years ago
, cbjklndcihbhdbcndjcaoish
Brandon Pritchard
2 years ago
bzsdfqnhreqnqtintuqriqurtngretuncrqtqrcuriqm,.rqw,rc.qr,
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Suppose T is a transformation from ℝ2 to ℝ2. Find the matrix A that induces T if T is reflection over the line y=1/2x
trapecia [35]

Answer:

A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]

Step-by-step explanation:

We have to see how the canonical vectors are transformed throught T. Lets first define T in any basis.

Since T is a reflection, then any element of the line y = x/2 if fixed by T. Therefore T(2,1) = (2,1).

On the other hand, any vector perpendicular to the line direction should be sent to its opposite value. We can take, for example, (-1,2) (note that the scalar product (2,1) * (-1,2) = -2+2 = 0). As a consecuence T(-1,2) = (1,-2). We have

  • T(2,1) = (2,1)
  • T(-1,2) = (1,-2)

By summing the first vector with the double of the second one we get, using linearity

T(0,5) = T( (2,1) + 2(-1,2)) = T(2,1) + 2T(-1,2) = (2,1) + 2(1,-2) = (4,-3)

Hence, T(0,1) = (4/5,-3/5)

Now, we take the second vector and substract it the double of the first one (to kill the second variable)

T(-3,0) = T( (-1,2) - 2*(2,1) ) = T(-1,2) -2T(2,1) = (1,-2)-2(2,1) = (-3,-4)

Therefore, T(1,0) = (1,4/3)

The matrix A induced by  T has in its first column T(1,0) and in its second column T(0,1). We conclude that

A = \left[\begin{array}{cc}1&\frac{4}{5}\\\frac{4}{3}&-\frac{3}{5}\end{array}\right]

3 0
3 years ago
Help needed ASAP will give brainliest and 5 STARS RATE
KATRIN_1 [288]

Answer:

The correct choice is D.

4 0
3 years ago
A cat keeps eating to gain weight while a dog keeps doing exercise.Later, the cat's weight increases by 20% and the dog's weight
lesya [120]

Answer:

Step-by-step explanation:

We will call the dog's original weight d and the cat's c.  according to the problem 1.2c=.9d

1.2c is the cat's weight increased by 20% and .9d is the dog's weight decreased by 10%  Now we just solve this with algebra for the dog's original weight.

1.2c=.9d

(1.2/.9)c = d

(4/3)c = d

Now, this tells us that the dog's original weight was 4/3 of the cat's.or  about 33.33% larger

It kinda looks like the question is then asking what the cat's current weight is  in comparison to the dog's original.  If that's the case we need just one more step.  We want the dog's original weight and the cat's current weight in terms of the same variable.  Well, we have that.  

Current cat = 1.2c or 6/5, since we have the other in fractional form.

original dog = (4/3)c  

Now, what do we multiply the first to get to the second?  Well, we need common denominators.  15 is the lcm of 3 and 5, so we'll use that.

6/5 = 18/15 and 4/3 = 20/15

Nowwe want to know what we have to multiply 18 by to get to 20.  some algebra will find that.

18x=20

x = 20/18

x = 10/9

that's about 1.11, so the dog's original weight is about 11% higher than the cat's current weight.  

Hopefully that's the answer it wanted, if not or if there is something you didn't understand let me know.

7 0
3 years ago
John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y,
Genrish500 [490]

Answer:

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks. The equation best models the relationship between x and y is y = −25x + 175

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Laura made$252 for 18 hours of work.
Ilia_Sergeevich [38]

Answer:

12

Step-by-step explanation:

Laura makes 14 dollars an hour and it will take her 12 hours to make a total of $168!

7 0
2 years ago
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