The baseball team is running a fundraiser to raise money for new equipment. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The team needs to raise at least $500 to buy a few pieces of equipment. The students can accept a maximum of 360 cans and bottles.
a)Write a system of inequalities that can be used to represent this situation.



b) The baseball team sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to buy new equipment? Justify your answer.

Answer:

60! hope this helps!

Step-by-step explanation:

Answer:

Given that angle APB = 100°

Angle CPB = 180°- 100°. (Angle APB and CPB form a linear pair)

We know all triangles formed here are isosceles

Therefore,

We can take angle PBC= angle PCB = x

Now,

Angle CPB+ x + x = 180°. ( Triangle sum property)

100° + 2x = 180°

2x = 180°- 100°

2x= 80°

x= 80°/2

x= 40°

Hope you found this helpful. Please mark this as the brainliest answer if you do.

Answer:

there monthly budget is $4000

Step-by-step explanation:

if 600 is 15% then there is 85% of there budget left so in order to find how much is 1% then 600/15=40 so $40 = 1% so 1%x100=100%  and 40x100=4000 so 100% of there budget is $4000

hope this helps have a blessed day :)

Answer:

y = 9x

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

Since 6 cost four dollars 3 would cost 2 dollars multiply 3 to get 15 bananas and 2 to get $10

Answer:

$10

Step-by-step explanation:

Make proportion:

?= cost  of bananas

6  -  4

15  -  ?

?= 15×4÷6=10

Answer:

1st number = 4

2nd number = -1

Step-by-step explanation:

Let n = 1st number

Let m = 2nd number

2n + 4m = 4

n - m = 5

Substitu method, let n = 5 + m

2(5+m) + 4m = 4

10 + 2m + 4m = 4

6m = -6

m = -1

find n:

n - (-1) = 5

n + 1 = 5

n = 4

Answer:

x = 141

Step-by-step explanation:

The answer is A

AAAAAAAA

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

Slope = -5/4.    And y-int = (0,-1)

Step-by-step explanation:

Answer:

35%of 820

35/100×820

287

...........

Answer:

287

Step-by-step explanation:

100% = 820

35%   = 820 ÷ 100 × 35

         = 287

Answer:

i think its -5

Step-by-step explanation:

if you devide 25 by -5 you get -5

Answer: x = -5

Step-by-step explanation:

We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.

First, we will divide -5 from 25.

25 ÷ -5 = -5.

Because of this, x = -5!

If we're not sure, we can also check the equation.

-5 x -5 = 25, so the answer is true.

In conclusion, x = -5!

Answer:

ghhhbvhnv

Step-by-step explanation:

kjkjkjjn,nj,jn,jn

Answer:

J (3; 9)

Step-by-step explanation:

Imagine each distance like a triangle and use Pythagorean theorem.

To illustrate I drew triangle ΔLON in the picture

Finding the distance between LN.

LO = [tex]y_{L} - y_{O}[/tex] = 5 - 1 = 4

NO = [tex]x_{N} - x_{O}[/tex] = 5 - 4 = 1

According to Pythagorean theorem

[tex]LN^{2} = LO^{2} + NO^{2}[/tex]

[tex]LN^{2}[/tex] = [tex]4^{2} + 1^{2}[/tex] = 17

LN  = [tex]\sqrt{17}[/tex] (LN > 0)

Since ΔMLN ≅ ΔKLJ, JL = LN (they are clearly equal triangles)

Mark J coordinates as (x; y)

Draw another triangle JOL, ∠JOL = 90°)

OJ is parallel with x axis and OL is parallel with y axis.  O coordinates then are (4; y)

OL  = y - 5

OJ = 4 - x

Note that ΔLON = ΔJOL, so OL is the same as LO and therefore

OL = LO = y - 5 = 4;

y = 9

OJ = NO = 4 - x = 1

x = 3

So the coordinates of J are (3; 9)

Similarly find the coordinates of K

Answer:

4 pencils

Step-by-step explanation:

Note=  pencils costing 0. 90p

Given data

Balance= £10

pen= 3*1.45= £4.35

pencils=0.90p

change= £2.05

2.05= 10-4.35-90p

solve for p

2.05= 5.65-90p

collect like terms

5.65-2.05= 0.90p

3.6=90p

divide both sides by 90

p=3.6/0.90

p=4

Answer:

Step-by-step explanation: ༼ つ ◕_◕ ༽つ

So what I'm thinking right. If it costs my pal bob $0.25 for each cupcake and an additional $15 per month we will probably need to variables. So check it

Our positive when we make money is when bob sells cupcakes right? but our negative where bob is spending his money is the $0.25 it cost per cupcake and the $15 a month he also has to pay for expenses

$1.50c-$0.25c-$15.00m

c represents the amount of cupcakes while m represents each month

So if Buddy Boy Bob sold 85 cupcakes in one month lets try to use our equation to solve for profit shall we.  

$1.5(85)-$0.25(85)-$15(1)= Bob made about $91.25

Answer:

y=4x+3

Step-by-step explanation:

find the slope using y2-y1/x2-x1

11-3/2-0

simplify

8/2

simplify

4

find b by using the equation y=mx+b

since we know 4 is the slope, plug it in for m

plug an ordered pair into y=4x+b

3=4(0)+b

3=b

plug b in y=4x+b

y=4x+3

Answer:

Option 1 = 3/2

Step-by-step explanation:

The rise = 3

The run = 2

Answer:

I don't know.

Step-by-step explanation:

Answer:

79239729379249

Step-by-step explanation:

your aswer is 284389300 oo

Answer: The fraction of the original allowance does she plan to save = [tex]\dfrac16[/tex]

Step-by-step explanation:

Let x = original monthly allowance

Monthly allowance left = [tex]\dfrac23x[/tex]

She plans to save = [tex]\dfrac14[/tex] of (Monthly allowance left)

= [tex]\dfrac14\times\dfrac23x[/tex]

[tex]=\dfrac{2}{12}x\\\\=\dfrac{1}{6}x[/tex]

i.e. the fraction of the original allowance does she plan to save = [tex]\dfrac16[/tex]

Answer:

5.6023 × 10^-5

Step-by-step explanation:

Let me know if you need an explanation.

Answer:

0.00005602

Step-by-step explanation:

0.00005602

(hope this helps can i plz have brainlist :D hehe)

Answer:

sorry I don't know sis ☹️

Greetings I am BrotherEye

Answer: How find the volume of a triangular pyramid?

Triangular pyramid volume formula

In words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height

Step-by-step explanation:

Now in mathematical terms Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.

Best of Luck!

9514 1404 393

Answer:

  a) x≥5; y≥10; x+y≤30; 3x+y≤54

  b) see attached

  c) i. 14 buses; ii. 25 minibuses

Step-by-step explanation:

a. The given restrictions are ...

  x ≥ 5 . . . . . . . . . minimum number of buses

  y ≥ 10 . . . . . . . . minimum number of minibuses

  x + y ≤ 30 . . . . .maximum number of vehicles

  3x +y ≤ 54 . . . . maximum number of parking units

__

b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.

__

c. The second attachment shows the maximum numbers of each.

i. maximum buses: 14 (and 12 minibuses)

ii. maximum minibuses: 25 (and 5 buses)

Answer:

18

Step-by-step explanation:

Add all the dots. 2+1+3+2+6+3+1=18

9514 1404 393

Answer:

  16. x = 11

  17. x = 4

Step-by-step explanation:

The triangles of interest are congruent, so corresponding parts have the same measure.

__

16. 2x+2 = x+13

  x = 11 . . . . . . . . . subtract x+2 from both sides

__

17. 4x+4 = 3x+8

  x = 4 . . . . . . . . . subtract 3x+4 from both sides