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azamat
2 years ago
10

I sell cookies for $3 and muffins for $7. Yesterday, I made $129. I sold a total of 27 items. How many of each did I sell?

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
5 0
12 muffins and 15 cookies are the answer
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Divide $3,300 into three parts whose ratio is 1:3:7.
AveGali [126]
1+3+7=11

The first part is
3,300×(1÷11)
=300
The second part is
3,300×(3÷11)
=900
the third part is
3,300×(7÷11)
=2,100
8 0
3 years ago
If x+y=12 and xy=15,find the value of (x^2+y^2)
Mice21 [21]

Answer:  x^2+y^2=\dfrac{105\pm 18\sqrt6}{2}

<u>Step-by-step explanation:</u>

EQ1:  x + y = 12     --> x = 12 - y

EQ2:  xy = 15      

Substitute x = 12-y into EQ2 to solve for y:

(12 - y)y = 15

12y - y² = 15

0 = y² - 12y + 15

    ↓     ↓         ↓

  a=1   b= -12   c=15

.\  y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\.\quad =\dfrac{-(-12)\pm \sqrt{(-12)^2-4(1)(15)}}{2(1)}\\\\\\.\quad =\dfrac{12\pm \sqrt{144-120}}{2}\\\\\\.\quad =\dfrac{12\pm \sqrt{24}}{2}\\\\\\.\quad =\dfrac{12\pm 2\sqrt{6}}{2}\\\\\\.\quad =6\pm \sqrt{6}

Now, let's solve for x:

xy=15\\\\x(6\pm\sqrt6)=15\\\\x=\dfrac{15}{6\pm\sqrt6}\\\\\\x=\dfrac{15}{6\pm\sqrt6}\bigg(\dfrac{6\pm\sqrt6}{6\pm\sqrt6}\bigg)=\dfrac{6\pm \sqrt6}{2}

Lastly, find x² + y² :

y^2=(6\pm \sqrt6)^2\quad \rightarrow \quad y^2=36\pm 12\sqrt6 +6\quad \rightarrow \quad y^2=42\pm 12\sqrt6

x^2=\bigg(\dfrac{6\pm \sqrt6}{2}\bigg)^2\quad \rightarrow \quad x^2=\dfrac{42\pm 12\sqrt6}{4}\quad \rightarrow \quad x^2=\dfrac{21\pm 6\sqrt6}{2}

                                                                                 

x^2+y^2=\dfrac{21\pm 6\sqrt6}{2}+42\pm 12\sqrt6\\\\\\.\qquad \quad = \dfrac{21\pm 6\sqrt6}{2}+\dfrac{84\pm 24\sqrt6}{2}\\\\\\. \qquad \quad = \dfrac{105\pm 18\sqrt6}{2}

5 0
3 years ago
REE PLEASE HELP ASAP!!!!!
Drupady [299]

the last one i think

3 0
3 years ago
Find the missing segment in the image below​
Bogdan [553]

Answer:

3

Step-by-step explanation:

Intercept theorem

DE // CB ⇒ \frac{AD}{AC} = \frac{AE}{AB}

⇒ \frac{6}{6+?} =\frac{4}{4+2}

⇒ ? = 3

7 0
3 years ago
What is 2.50x + 4x = 39
34kurt
2.5x + 4x = 39
6.5x = 39
x = 39 / 6.5
x = 6
4 0
3 years ago
Read 2 more answers
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