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yanalaym [24]
3 years ago
10

Kayla is sending invitations to 20 of her friends for a pizza party. If there are 12 invitations left to send out, how many invi

tations has she already mailed?
Mathematics
2 answers:
antiseptic1488 [7]3 years ago
8 0

Answer: Hello there!

We know that Kayla is sending invitations to 20 of her friends for a party, It is safe to assume that she needs an invitation for each friend, then she needs 20 invitations.

We know that there are 12 invitations left to send out (this means that of 20 invitations, there are 12 that she did not send already), then the amount that she already sends is equal to the difference between the total number of invitations and the left ones; this is

20 - 12 = 8

This means that she already mailed 8 invitations

Vlad [161]3 years ago
3 0

<span>If Kyla sent out all her invitations thru mailing and was left out with 12, then there were 8 invitations already mailed. If there were other means she used in sending out like personally visiting her friends and handing over a copy, then invitations already mailed is a number less than 8.</span>

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Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}  \\

From the question

a = 1 , b = 5 , c = 13

So we have

k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

k_1 =  \frac{ - 5 + 3 \sqrt{3} \: i }{2}  \:  \:  \:  \: or \\ k_2 =  \frac{ - 5 - 3 \sqrt{3}  \: i}{2}

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

Hope this helps you

8 0
3 years ago
An electric company charges a certain rate per kilowatt-hour (kWh) of electricity used and an administrative fee of $3.50. The c
Triss [41]

Answer:

Variable r represents the slope of the equation.

Step-by-step explanation:

Given that the administrative fees that company charge is $3.50.

Also, the Zhao has a bill of $63.25.

The equation used by Zhao is

63.25=r(800)+3.50

We can compare the equation of a line in the slope-intercept form.

y=mx+c

We can see the y-intercept is $3.50 that is a fixed cost. And the company charged $63.25 that is the dependent variable.

Also, variable r that is the rate per kilowatt-hour (kWh) represents the slope of the equation.

4 0
3 years ago
Can you the nearest hundredth to 1.2983?
ozzi
I think so it’s 1.30
3 0
3 years ago
Read 2 more answers
-8x^2+4x+5=0 using quadratic formula
daser333 [38]
So you want to solve for x?

It would be nice if this would easily factor:
(-4x + 5)(2x +1)  = 0    This will not work!

So you need to use the quadratic formula:
a = -8, b = 4, c = 5

x = \frac{-b+/-  \sqrt{b^{2}-4ac} }{2a}

x = (-4 +/- \sqrt{16-4(-8)(5)})/2(-8)
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6 0
3 years ago
ryan can build 4 desks in one day and larry can build 4 desks in 2 days. if larry starts work one day before ryan, how long will
MissTica
You can make an equation with this information using a variable for the number of days and solve for that variable. Here we can use d to represent days.

Ryan can build 4 desks in a day, so you could express his production as 4d.

Larry can build 4 desks in 2 days, so you could say he makes 2 desks in 1 day, expressed as 2d.

If Larry starts work one day before Ryan, he's made an extra 2 desks. To get 32 desks, you need to add together those 2 desks Larry made, however many desks Larry can make, and however many desks Ryan can make:

2 + 4d + 2d = 32.

Then just simplify and solve:

6d = 30
d = 5.

It'll take 5 days for them to make 32 desks. Hope this helps! Please rate this answer as brainliest if you liked it!! thank you!!!
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