3. The lacrosse team is raising money by selling cheesecakes. The players plan to sell an entire cheesecake for $24.00 each and slices of cheesecake for $3.50 each. If they want to raise at least $700, how many of each could they sell?

Part A: List three possible combinations of entire cheesecakes and slices of cheesecake the players could sell to reach their goal of raising at least $700.

Part B: Write an inequality to represent the situation.

Part C: Graph the inequality and shade where the solutions are. y X

Part D: What is the difference in the amount of money raised for ordered pairs falling on the line and the ones that fall in the shaded area?

Part E: What do the x- and y-intercepts represent?​

Answer:

Kendrick bought 48 bagels.

Step-by-step explanation:

For this question, you would simply have to multiply 4 by 12.

Dozen means 12.

4x12=48

48 bagels.

Answer:

x^2 - 9

Step-by-step explanation:

Multiply parenthesis

x × x = x^2

x × -3 = -3x

3 × x = 3x

3 × -3 = -9

x^2 - 3x + 3x - 9

= x2 - 9

Answer:

Answer in the attachment, as it wasn't letting me answer it, saying rude words.

Answer:

Step-by-step explanation:

tan 38 = opp/adj = h/77

h = 77tan38

h = 60.1589932...

h = 60.2 ft

x = total amount of gumballs

let's start subtracting the balls she's giving away

[tex]\stackrel{total}{x}-\stackrel{\textit{to jaysen}}{\cfrac{x}{2}}\implies \stackrel{\textit{what's left}}{\cfrac{x}{2}}~\hfill \stackrel{\textit{half of what's left to Marinda}}{\cfrac{~~ \frac{x}{2}~~}{2}\implies \cfrac{x}{4}} \\\\\\ \stackrel{\textit{what was left minus Marinda's}}{\cfrac{x}{2}-\cfrac{x}{4}\implies \stackrel{\textit{what's left}}{\cfrac{x}{4}}}~\hfill ~\hfill \stackrel{\textit{a third of what's left to Zack}}{\cfrac{~~ \frac{x}{4}~~}{3}\implies \cfrac{x}{12}}[/tex]

[tex]\stackrel{\textit{what was left minus Zack's}}{\cfrac{x}{4}-\cfrac{x}{12}\implies \stackrel{\textit{what's left}}{\cfrac{x}{6}}}~\hfill \stackrel{\textit{her sister gets 5 balls of what's left}}{ \cfrac{x}{6}-5 }[/tex]

and we also know that after all that has been subtracted, she's only left with 5, so we can say that

[tex]\stackrel{\textit{what's finally left}}{\cfrac{x}{6}-5}~~ = ~~\stackrel{\textit{what's finally left}}{5}\implies \cfrac{x}{6}=10\implies \boxed{x = 60}[/tex]

Answer:

3x - b

3 (-2/15) - 3/10

-6/15 -3/10

-60/150 - 45/150

- 105/150

Answer:

50.311

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

Use midpoint theorem :- The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also 'half of the length of the third side'.

So,

2x = ½ (x + 9)

2x = ½(x) + ½(9)

2x - ½x = 9/2

3/2x = 9/2

x = 9/3

x = 3

____

Hope it helps ⚜

Area

[tex]\\ \tt\longmapsto \dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|(-2)(3+5)+(4)(-5-1)+(-2)(1-3)|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|-16-24+4|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|-36|[/tex]

[tex]\\ \tt\longmapsto 18units^2[/tex]

Check the picture below.

Answer:

15x^2-3x-1

Step-by-step explanation:

All we have to do is collect like terms and calculate! Hope this helps!

Answer:

Length x width= answer

so 15 x 8 = 120

Step-by-step explanation:

Answer:

eeeeee

Step-by-step explanation:

eeeeeeee

Answer:

m∠1 = 97

m∠2 = 83

m∠3 = 97

m∠4 = 83

Answer:

m∠1 = 97°

m∠2 = 83°

m∠3 = 97°

m∠4 = 83°

Step-by-step explanation:

180 - 97 = 83°

180 - 83 = 97°

Answer:

45% are female -> 72

100% are total -> x

x= 72• 100/45

x= 7200/45

x= 160

total= male+female

160= male + 72

male= 88

Answer:

24

Step-by-step explanation:

The number of soda bottles the machine can make  each minute is the unit rate, slope. To find slope using those two points, use the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the points: (2,48)  (7,168)

[tex]y_2=168[/tex]

[tex]y_1=48[/tex]

[tex]x_2=7[/tex]

[tex]x_1=2[/tex]

Plug these into the formula then solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{168-48}{7-2}[/tex]

[tex]=\frac{120}{5}[/tex]

[tex]=24[/tex]

The slope is 24, and therefore the unit rate. Hence, the machine can make 24 soda bottles each minute.

Simple way

Where you see the point at 48 and 2, it means [tex]\frac{48}{2}[/tex]. So divide

48 ÷ 2 = 24.

Answer:

24

Step-by-step explanation:

By BODMAS rule,

[ ( 15 + 1 ) / 2 - 4 ] * 6

= [ 16 / 2 - 4 ] * 6

= [ 8 - 4 ] * 6

= 4 * 6

= 24

Based on the information given, the value of the equation will be -48.

From the information given, the expression is given as:

= (15+1)/2-4]*6

We'll solve the bracket first.

= (15+1)/2-4]*6

= (16 / 2 - 4) × 6

= (16/-2) × 6

= -8 × 6

= -48

In conclusion, the value of the equation will be -48.

Learn more about equations on:

https://brainly.com/question/13802812

Answer: the second one

Step-by-step explanation:

Step-by-step explanation:

[tex] - 6a + a = 5 \\ a + a = \frac{ - 5}{6} \\ 2a = \frac{ - 5}{6} \\ a = \frac{ - 5}{6} \div 2 \\ a = - \frac{5}{12} [/tex]

Answer:

24m + 3 or (24 × m) + 3

Step-by-step explanation:

product = multiplying

matts height = variable

more than = addition

add together and that's your algebraic expression hope this helps :)

Answer:

n= 2.9

1:2.9

Step-by-step explanation:

Divide by 15 on both sides

15 divided by 15 is 1

43 divided by 15 is 2.8666666666=>

It states "Give any decimals in your answer to 1 d.p.

Mean we round it to one decimal place

so it is 2.9

Thus the answer for n is 2.9

Hope this helps!

Answer:

x=12

Step-by-step explanation:

[tex](4x + 15) + (x + 5) = 180 \\ 5x + 20 = 180 \\ 5x = 60 \\ x = 12[/tex]

Answer:

12

Step-by-step explanation:

Ans

Step-by-step explanation:

Answer:

$1,538.00

Step-by-step explanation:

Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

8A+5(40-A)=272

8A+200-5A=272

3A+200=272

3A=72

A=24

Therefore, there are 24 adults

Answer:

y-intercept = (0,3)

Step-by-step explanation: