Monique is throwing a birthday party and wants to buy an assortment of desserts. She buys a cake for $25, a gallon of ice cream for $4.50, and (c) cupcakes for $1.50 each. If she wants to spend at most $45 how many cupcakes can she purchase?

Answer:

1/2, 2, 9/2, and 8.

Step-by-step explanation:

In this case, we have an explicit rule.

So, to find the nth term, we can simply substitute a value into our function and evaluate.

For the first term, n=1. Thus:

[tex]f(1)=\frac{(1)^2}{2}[/tex]

Evaluate:

[tex]f(1)=\frac{1}{2}[/tex]

Hence, our first term is 1/2.

For the second term, n=2. Thus:

[tex]f(2)=\frac{(2)^2}{2}[/tex]

Evaluate:

[tex]f(2)=\frac{4}{2}=2[/tex]

Hence, the second term is 2.

For the third term, n=3. Thus:

[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]

So, the third term is 9/2.

And for the fourth term, n=4. Thus:

[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]

Therefore, the fourth term is 8.

Hence, our first four terms are: 1/2, 2, 9/2, and 8.

Answer:

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-0}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = x + 2 ← equation of line

Answer:

5x-3(x-2)=4

5x-3x+6=4

2x+6=4

2x= 4-6

2x= -2

x = -1

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]

21-

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]

22-

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]

23-

[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A triangle is acute if its largest angle is acute.

A triangle is obtuse if its largest angle is obtuse.

A triangle cannot be both acute and obtuse, so, yes, the statements contradict each other.

Answer:

Step-by-step explanation:

Yes they do contradict

Acute means less than 90 while obtuse means more than 90.

Both can't exist for the same triangle at the same time.

Answer:

31 degrees

Step-by-step explanation:

...........

Answer:

66 miles per hour

Step-by-step explanation:

528/8 = 66 miles per hour

Answer:

66 miles/hour.

Step-by-step explanation:

Its average speed is 528/8

= 66 miles/hour.

Answer:

x=6

Step-by-step explanation:

divide each term by 2 then simplify

Answer:

6

Step-by-step explanation:

First what you do is you subtract 7 from both sides to get 2x by itself.

2x + 7 - 7 = 19 - 7

2x = 12

Then you divide 2 from both sides to get x by itself.

2x/2 = 12/2

x = 6

Your answer is then x = 6.

Answer:

The zeros are at 0 and -2/3

Answer:

Step-by-step explanation:90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer:

∠5

Step-by-step explanation:

So basically it's what it sounds like. They alternate inside. If it was alternate exterior it would means that they would alternate on the outside. Kinda hard to explain, but easy once you understand it.

Answer:

I put 9y=6x

Step-by-step explanation:

I say this because I’ve put all points in on Desmos graph and this is the best answer choice to me dk if I’m right .

Answer:

49.5 meters of linen were left after the sale.

Step-by-step explanation:

Given that there are 100 meters of linen

And 15.75, 22.50 and 12.25 meters are sold.

This means that the sold linen has to be added  to find the total linen sold.

And then the quantity of sold linen will be subtracted from 100 to find the meters of linen left.

[tex]Total\ linen\ sold = 15.75+22.50+12.25 = 50.5\ meters[/tex]

Left linen will be:

[tex]=100-50.5 = 49.5[/tex]

Hence,

49.5 meters of linen were left after the sale.

Answer:

The store paid $800 for it

Step-by-step explanation:

let x be the value the store paid for it

120/100 * x = 960

120x = 96000

x = 96000/120

x = $800

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

A decagon is a ten-sided polygon.

The value of n could be 252 degree.

Since, A Decagon has 10 sides

The angle made in one complete rotation is 360 degree.

Now find angle made in each rotation is,

                          [tex]=\frac{360}{10}=36degree[/tex]

Now, we have to find possible values of n.

Since, n must be a multiple of 36

Apply hit and trial from given option.

We observe that from given options, only 252 degree is multiple of 36.

Therefore, value of n could be 252 degree.

Hence, option 4  is correct.

Learn more:

https://brainly.com/question/9549251

Answer: 3

Step-by-step explanation:

I just finished the test and this was the answer I put and it was right.

9x+6y=b

6y=b-9x

y=b/6 -9/6x

y=b/6-3x/2

y= -3x/2 +b/6

3x + 2y = 1

2y = 1 - 3x

y = 1/2 -3/2x

y = -3/2x + 1/2

b/6=1/2

b=3

Answer:

Step-by-step explanation:

Answer:

\557

Step-by-step explanation:

Answer:

5+5

Step-by-step explanation:

5+5 and 2+2+2+2+2

two fives equal ten and five twos equal ten.

Answer:

6x^2+2x

Step-by-step explanation:

Answer:

area of rectangle=2x×(3x+1)=6x²+2x

Answer:

The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b).

Step-by-step explanation:

Was i right?!?

Answer:

t=1/5=0.2

Step-by-step explanation:

(5t+3)/4=1

5t+3=4

5t=1

t=1/5=0.2

Answer:

1/5

Step-by-step explanation:

5t+3/4=1

5t+3=1*4

5t+3=4

5t=4-3

5t=1

t=1/5

Answer:

f ≥ 35

Step-by-step explanation:

Took the test on Aleks, it was right! :)

Answer:

The diameter of a circle with the equation is 16.

Step-by-step explanation:

Given the equation

[tex]\left(x\:-\:4\right)^2\:+\:\left(y\:+\:6\right)^2=\:64[/tex]

We know that the circle equation with radius 'r', centered at (a, b)

[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]

[tex]\mathrm{Rewrite}\:\left(x-4\right)^2+\left(y+6\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]

[tex]\left(x-4\right)^2+\left(y-\left(-6\right)\right)^2=8^2[/tex]

Here,

radius = r = 8

center = (4, -6)

Hence, the radius of the circle is: r = 8

we know that

diameter = 2r

               = 2(8)

               = 16

Therefore, the diameter of a circle with the equation is 16.

Answer:

They are correct. The answer is c. 16

Step-by-step explanation:

Answer:

18 / 6 = 3

The scale is 1:3

3 * 4.5 = 13.5

13.5 * 18 = 243 square feet

The answer is 243 square feet.

Step-by-step explanation:

Hope this helped!

Answer:

pretty good tired of the virus stuff but good

Step-by-step explanation:

Answer:

Im great... how bout you?

Step-by-step explanation:

Answer:

426+315=741

Step-by-step explanation:

Answer:

426+315 = 741

Step-by-step explanation: