Brian bought beverages for his coworkers. One day he bought 3 lemonades and 4 iced teas for $12.00. The next day he bought 5 lemonades and 2 iced teas for $11.50. Find the cost of 1 lemonade and 1 iced tea, to the nearest cent.

Answers

Answer 1

Answer: Let's take lemonade's price as 'x' and iced tea's price as 'y'.

$\left \{ {{3x+4y=12} \atop {5x+2y=11.5}} \right. \n \left \{ {{x=4-y} \atop {5(4-y)+2y=11.5}} \right. \n \left \{ {{x=4-y} \atop {20-3y=11.5}} \right. \n \left \{ {{x=4-y} \atop {y=2.83}} \right. \n \left \{ {{x=1.17} \atop {y=2.83}} \right.$

Price of lemonade is $2.83, iced tea's $1.17.

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Find the measure of the central angle that you would draw to represent 67% in a circle graph. Round your answer to the nearest degree.

Answers

circle=360 so
67%=67% of 360

percent means parts out of 100 so
67%=67/100=0.67

'of' means multiply
67% of 360=0.67 times 360=241.2

round
241

answer is 241 degrees

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Answers

It would be 300 bc the absolute value bars mean how far the number is from zero

It is simply 300 without the absolute value bars.

13/52 in simplest form

Answers

13/52

13/13 = 1
52/13 = 4

1/4 is the most simple form

MattaMillion, the simplest form for 13/52 is 1/4. The greatest common factor between 13 and 52 is 13, so we divide 13 and 52 by 13 to get 1/4.

Ms. Velez will use x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red bricks cost $0.58 each. She can spend up to $200 on her project, and wants the number of red bricks to be less than half the number of gray bricks.Which inequalities model the situation?

Choose exactly three answers that are correct.

Answers

So,

Ms. Velez can spend $200 on her project.
She wants the red bricks to be less than half of the number of gray bricks.
x or red bricks < 1/2y or grey bricks
x < 1/2y

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Eight less than ten times a number is 82

Answers

Eight less than ten is another way of saying 10-8. So it is saying 2 times a number is 82. This can be represented as 2x=82. Divide both sides by 2 to get x=41. So the "number" is 41.

Break it down
- Ten times a number --> 10n
- Eight less --> - 8

**So 10n - 8 = 82
Add 8 to both sides
10n = 90
Divide 10 on each side
n = 10

Find three arithmetic means between -2 and 12.

Answers

$a_1=-2;\ a_2;\ a_3;\ a_4;\ a_5=12\n\na_5-a_1=4d\n\n4d=12-(-2)\n4d=14\ \ \ /:4\nd=3.5\n\na_2=a_1+d\to a_2=-2+3.5=1.5\n\na_3=a_2+d\to a_3=1.5+3.5=5\n\na_4=a_3+d\to a_4=5+3.5=8.5\n\nSolutions:1.5;\ 5\ and\ 8.5$

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