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g100num [7]
3 years ago
6

At first a price was decreased by 12%, then it was discounted again by an additional 5%. What is the percent of the total discou

nt?
PLZ HELP DUE TOMMOROW MORNING
Mathematics
1 answer:
olga_2 [115]3 years ago
4 0
Hello there! I can help you! So we are decreasing a price by 12% and then doing it again by 5%. We would pay 88% of the original price and then 95% of that sale price. To execute this better, let's make a real-world situation. Say that Mariana wants to buy a new pair of shoes that originally costed $100. The store has a tag for 12% off and then an additional 5% discount at the counter. How much would she pay for the shoes? What total discount does she get? Let's start by multiplying 100 by 88%. 100 * 88% (0.88) is 88. That's the first part. Now, we multiply that number by 95% to find the price at the counter. 88 * 95% (0.95) is 83.6. That's the price with both discounts. Mariana would pay $83.60 for the shoes, but what about the percent discount total? Let's subtract that price from 100 and see what we get. 100 - 83.6 is 16.4. Percents are parts of 100, so we don't need to do anymore simplifying. There. The total amount of discount is 16.4%.
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pochemuha

Answer:

The quadratic function whose graph contains these points is y=-x^{2}-2x-2

Step-by-step explanation:

We know that a quadratic function is a function of the form y=ax^{2}+bx+c. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.  

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

-2=a*0^{2}+b*0+c\\c=-2

-17=a*-5^{2}+b*-5+c\\c=-25a+5b-17

-17=a*3^{2}+b*3+c\\ c=-9a-3b-17

We can solve these system of equations by substitution

  • Substitute c=-9a-3b-17

-9a-3b-17=25a+5b-17\\-9a-3b-17=-2

  • Isolate a for the first equation

-9a-3b-17=-25a+5b-17\\a=\frac{b}{2}

  • Substitute a=\frac{b}{2} into the second equation

-9\left(-\frac{b}{2}\right)-3b-17=-2

  • Find the value of b

-9\left(-\frac{4b}{17}\right)-3b-17=-2\\ b=-2

  • Find the value of a

a=\frac{b}{2}\\  a=-1

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

y=-x^{2}-2x-2

As you can corroborate with the graph of this function.

8 0
3 years ago
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Answer: 2 11/24

Step-by-step explanation:

How many hours does the plane save?

Time taken for the train = 5 1/8

Time taken for the plane = 2 2/3

The number of hours saved will then be:

= 5 1/8 - 2 2/3

Let the lowest common multiple be 24

= 5 3/24 - 2 16/24

= 2 11/24

The number of hours saved by the plane will be 2 11/24

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faust18 [17]

Answer:

∠1 = 142°

<u>reason:</u> angles 1 and 2 are supplementary so they equal 180. 180-38 is 142

∠3 = 38°

<u>reason:</u> angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.

∠4 = 142°

<u>reason:</u> since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142

∠5 = 38°

<u>reason:</u> since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2

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<u>reason:</u> for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.

∠8 = 142°

<u>reason:</u> since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also

Step-by-step explanation:

hope this helped you :)

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Colt1911 [192]
Okay what’s the rest of the question ?
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Novosadov [1.4K]

Answer:

13

Step-by-step explanation:

Sorry i cannot showy solution

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