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mrs_skeptik [129]
2 years ago
5

Katie wants to buy a keyboard that costs $525 but is marked down 15% for a sale. She thinks she is only going to spend $78.75. I

s she correct? Explain your reasoning.
Mathematics
1 answer:
Trava [24]2 years ago
6 0

Answer:

She is not correct, she is going to spend $446.25 after 15%

Step-by-step explanation:

525

multiply by 0.85 (which is 1 minus 0.15)

gives you 446.25

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Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 6 minutes long.
givi [52]
<h2>Hello!</h2>

The answer is: There are a total of 16 skits in the video.

<h2>Why?</h2>

From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).

So, we need to write the following equations:

First equation:

TotalDuration=Introduction+n*Skit

Second equation:

Skit=6Minutes

Where,

TotalDuration=101Minutes\\Introduction=5Minutes\\n=NumberOfSkits\\Skit=6Minutes

So, replacing and substituting the second equation into the first equation we have:

101Minutes=5Minutes+n*6Minutes\\n*6Minutes=101Minutes-5Minutes\\n*6Minutes=96Minutes\\n=\frac{96Minutes}{6Minutes}=16

So, there are a total of 16 skits in the video.

Let's prove it substituting "n" into the first equation:

101Minutes=5Minutes+16*6minutes\\101Minutes=5Minutes+96Minutes\\101Minutes=101Minutes

Have a nice day!

8 0
3 years ago
Evaluate sin(<br> 5π<br> 3<br> ).
azamat

Answer:

=−0.888168

Step-by-step explanation:

sin(5(3.1415933))

=sin((5)(31.006277))

=sin(155.031383)

=−0.888168

:)

8 0
3 years ago
Let a, b, c, and d be non-zero real numbers. If the quadratic equation ax(cx + d) = -b(cx+d) is solved for x, which of the follo
LiRa [457]

Answer:

Option d

Step-by-step explanation:

given that a, b, c, and d be non-zero real numbers.

ax(cx + d) = -b(cx+d) \\acx^2+x(ad+bc)+bd =0

we can factorise this equation by grouping

(acx^2+xad)+)xbc+bd) =0\\ax(cx+d) +b(cx+d) =0\\(ax+b)(cx+d) =0

Equate each factor to 0 to get

x=\frac{-b}{a} , \frac{-d}{c}

Ratio of one solution to another would be

\frac{-b}{a} / \frac{-d}{c} \\=\frac{ad}{bc}

So ratio would be ad/bc

Out of the four options given, option d is equal to this

So option d is right

4 0
3 years ago
Please help<br><br>please help <br><br><br><br><br><br><br><br><br>​
SVETLANKA909090 [29]

Answer: 72/48 unless you have to simplify which would be 3/2 or do you want decimal?

Step-by-step explanation:

8 0
3 years ago
I will give brainliest<br> -50-c=5c-2<br> Show work pleasee
Lilit [14]

Answer:

- 8

Step-by-step explanation:

Step 1:

- 50 - c = 5c - 2     Equation

Step 2:

- 50 = 6c - 2    Add c on both sides

Step 3:

- 48 = 6c   Add 2 on both sides

Step 4:

- 48 ÷ 6     Divide

Answer:

c = - 8

Hope This Helps :)

6 0
2 years ago
Read 2 more answers
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