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mamaluj [8]
3 years ago
12

Amelia and Elliott are collecting empty soda cans for recycling. Amelia has 13 less than 5 times the cans that Elliott has. Toge

ther, they have 257 cans. How many cans does each one have? A. Elliott has 44 cans, Amelia has 213 cans B. Elliott has 212 cans, Amelia has 45 cans C. Elliott has 45 cans, Amelia has 212 cans D. Elliott has 43 cans, Amelia has 214 cans
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:

The answer is C.

Step-by-step explanation:

Amelia = 5x - 13

Elliot = x = 45

total = x + 5x - 13 = 257

Elliot has 45 cans, and Amelia has 212.

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Find the slope:<br><br> x y<br> 13 10<br> 15 17
Dimas [21]

Answer:

Step-by-step explanation:

17_10

15_13

=7

2. =3.5

7 0
3 years ago
-2x^2 + 4x + 16 in vertex form​
Reil [10]

Answer:

y = - 2(x - 1)² + 18

Step-by-step explanation:

- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms

= - 2(x² - 2x) + 16

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 2x

= - 2(x² + 2(- 1)x + 1 - 1) + 16

= - 2(x - 1)² + 2 + 16

= - 2(x - 1)² + 18 ← in vertex form

6 0
3 years ago
Write the equation for a parabola with a focus at (0,-5) and a directrix at y=-3
Olenka [21]
-4y -16 = x^2
All done
7 0
4 years ago
100 points! Will mark brainliest! Only answer if you know what it is! Any random answers WILL be reported
inessss [21]

Answer:

Answer : False.

Step-by-step explanation:

Hey there!

The equations of line a and line b are:

line a : y= 5x-6...........(i)

line b : x+5y= 5..........(ii)

Firstly find the slope of both equation.

To find slope of first equation;

y= 5x-6

Comparing the equation with y= mx+c. We get;

Slope (m1) = 5.

Now,

To find slope of second equation;

Slope (m2) = (-coefficient of x)/(coefficient of y)

Slope (m2) = (-1/5)

Therefore, the slope of second equation is -1/5.

As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.

Now, comparing their slopes;

5≠(-1/5)

Therefore, the answer is "False".

<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
Read 2 more answers
Solve the following equations. You will need to show your work in order to receive full credit.
vodomira [7]

Hello from MrBillDoesMath!

Answer:   x =  10 for 4x - 8 = 32

               x = -5  for 2(x-5) = -20

Discussion:

------------------------------

4x - 8 = 32    (*)

Add 8 to both sides:

4x - 8 + 8 = 32 + 8 =>

4x = 40 =>

x = 10


-----------------------------------------------

2(x-5) = 2x - 2(5)  =>

2x - 10 = -20 (**)

Add 10 to each side of (**):


2x - 10 + 10 = -20 + 10 =>

2x = -10

x = -5




Thank you,

MrB


7 0
4 years ago
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