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3 years ago

A bracelet that normally sells for $30.00 is on sale for $25.50. What is the percent discount?

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

Answer:

15% off

Step-by-step explanation:

We know we paid $25.50 of the original $30. We can divide these two numbers $\frac{25.5}{30}=0.85$ . This is means we paid 85% of the original price. The discount percentage is the remaining percentage from 85 to 100 which is 15. The pants were 15% off.

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The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete

Whitepunk [10]

Answer:

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x = -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0

3 years ago

√36 + √49<br> Find the perimeter of the rectangle

nasty-shy [4]

perimeter of rectangle is : 2 length+2 width .

to progress in math, you must practice.

So , I let you do the first one which is the esaiest.

48 ) V147+ V147 + V108+V108 = 2V147 +2V108 = 2 ( V147+V108)

8 0

3 years ago

Whats is 2x2 given brainlest

noname [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

You have 5 55 reindeer, Bloopin, Rudy, Ezekiel, Prancer, and Balthazar, and you want to have 3 33 fly your sleigh. You always ha

sweet-ann [11.9K]

Answer:

60 different ways.

Step-by-step explanation:

We have been given that you have 5 reindeer, Bloopin, Rudy, Ezekiel, Prancer, and Balthazar, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. We are asked to find the number of ways in which we can arrange reindeer.

We will use permutations to solve our given problem.

The number of way to choose r objects from a set of n objects is $^nP_r=\frac{n!}{(n-r)!}$ .

Upon substituting our given values in permutations formula, we will get:

$^5P_3=\frac{5!}{(5-3)!}$

$^5P_3=\frac{5!}{2!}$

$^5P_3=\frac{5\times 4\times 3\times 2!}{2!}$

$^5P_3=5\times 4\times 3$

$^5P_3=60$

Therefore, you can arrange your reindeer in 60 different ways.

4 0

3 years ago

The endpoints of EF are E(2, 3) and F(8, 11). The midpoint of EF is M.<br> Find the length of EM.

Serga [27]

The midpoint of EF is M. The length of EM is 5

Given :

The endpoints of EF are E(2, 3) and F(8, 11).

M is the midpoint of EF

Lets find out the midpoint M using midpoint formula

$(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\E (x_1,y_1) is (2,3)\\F(x_2,y_2) is (8,11)$

Substitute the values inside the formula

$(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\\\(\frac{2+8}{2} ,\frac{3+11}{2} )\\\\(5,7)$

Midpoint M is (4,7)

Now to find out length of EM, we use distance formula

$Distance = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\mathrm{The\:distance\:between\:}\left(2,\:3\right)\mathrm{\:and\:}\left(5,\:7\right)\\\sqrt{\left(5-2\right)^2+\left(7-3\right)^2}\\\sqrt{3^2+4^2} \\\sqrt{25}\\5$

So, length of EM= 5

Learn more : brainly.com/question/18332427

5 0

3 years ago