Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat fee of $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling.

Write an inequality that represents the total cost of Ben’s birthday for p, people given his budget (1 point)













Solve the inequality to see how many people Ben can pay for (including himself) while staying within the limitations of his budget? (2 points)















Graph the solution of the inequality from part (a)

Answer:

a)y^3

o)7a^2

I know only that

Answer:

if your to factor using the rational roots test it would be (x−2)(x^2+8x+15)

but if your factor using the AC method it would be (x−2)(x+3)(x+5)

Answer:

its A on e2020

Step-by-step explanation:

The actual price is $46.73 lower than the expected price.

The actual price is $46.73 lower than the expected price.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, The Formula for Consumer Price Index is,

⇒ [tex]CPI = C_{t} / C_{0}[/tex]

Where, CPI = consumer price index in the current period

Ct = expected cost in current period

C₀ =cost in the base period

Now, It is given that;

Price in base period in 1983 is, C₀= $78.75

The actual cost of the microwave oven = $92.66

Consumer Price Index= 177

So, We Can expected price of microwave oven in the current period

Ct = CPI * C₀ /100

    = 177 × 78.75/100

    = $139.39

Thus, Difference between the actual price and expected price is,

= 139.39 - 92.66

= $46.73

Therefore, The actual price is $46.73 lower than the expected price.

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Answer:

10n-3m

Step-by-step explanation:

Step-by-step explanation:

try that hope this helps out

Answer:

dude

if 3 = 15

5x = 5.5=25

Step-by-step explanation:

hope it helps

Answer:

Its D i got it right

Answer:

the answer is d if u look u will see that h is the

Step-by-step explanation:

Given:

Frequency distribution table.

Mode = 34.5

To find:

The value of missing frequency 'f'.

Solution:

Formula for mode is

[tex]Mode=l+\dfrac{f_1-f_0}{2f_1-f_0-f_2}\times h[/tex]

where, l is lower limit of modal class, [tex]f_1[/tex] is frequency of modal class, [tex]f_0[/tex] is frequency of preceding class, [tex]f_2[/tex] is frequency of succeeding class, h is class size.

Mode is 34.5, so the modal class is 30-45. So,

[tex]l=30,f_1=f,f_0=7, f_2=3,h=45-30=15[/tex]

Putting these values in the above formula, we get

[tex]34.5=30+\dfrac{f-7}{2f-7-3}\times 15[/tex]

[tex]34.5-30=\dfrac{f-7}{2f-10}\times 15[/tex]

[tex]4.5=\dfrac{f-7}{2f-10}\times 15[/tex]

Divide both sides by 15.

[tex]\dfrac{4.5}{15}=\dfrac{f-7}{2f-10}[/tex]

[tex]0.3=\dfrac{f-7}{2f-10}[/tex]

[tex]0.3(2f-10)=f-7[/tex]

[tex]0.6f-3=f-7[/tex]

Separating variable terms, we get

[tex]0.6f-f=3-7[/tex]

[tex]-0.4f=-4[/tex]

Divide both sides by -0.4.

[tex]f=\dfrac{-4}{-0.4}[/tex]

[tex]f=10[/tex]

Therefore, the value of f is 10.

Answer:

The required equation is:

0.23x = 52

Hence, option A is true.

Step-by-step explanation:

Given

Let 'x' be the initial depth

The snow is now 52 inches deep and it is a 77% decrease.

Let the initial 'x' depth be represented as 100%.

x → 100%

Given the current 52 inches is a 77% decrease. So, we need to decrease the 77/100 or 0.77 from the initial depth, so

[100% - 77%] of x = 52

[100/100 - 77/100] × x = 52

[1 - 0.77] × x = 52

0.23x = 52

Therefore, the required equation is:

0.23x = 52

Hence, option A is true.

Answer:

Its technically impossible to tell if you don't tell us how many throws each person did.

Step-by-step explanation:

but i would guess 40

Answer:

Same I would guess A) 40 as well

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer: 2 one number 2

Step-by-step explanation:

It's is number 2

The required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
Given expression, (4y - 3)² = 72

Simplifying the above expression:
(4y - 3)² = 72

4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4

Thus, the required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

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Answer:

2.25

Step-by-step explanation:

2/5 is equal to 4/10

(9/10)/(4/10)

(9/10)*(10/4)

90/40

9/4 = 2.25

(Can be checked if you multiply 4 by 2.25)

Answer:

wait im confused open the picture or answer it?

Step-by-step explanation:

Answer:

whats the question?

Step-by-step explanation:

Answer:

Okay so by the looks of it you need to know how many people aren't in anything.

Step-by-step explanation:

110 + 240 = 350

450 - 350 = 100

100 - 60 = 40

So 40 students are in nothing. But you probably need to know how many students are in band. I would guess around 30 students are in band.

I hope this helped if it didn't I'm sorry.

Answer:

44°

Step-by-step explanation:

It should be the same old angle J

Answer:

[tex]\displaystyle \tan\theta=\frac{\sqrt{11}}{11}[/tex]

Step-by-step explanation:

Trigonometric Identities

If the trigonometric function value of an angle is given, we can find the rest of the trigonometric values of the angle by using one or more of the fundamental identities.

To solve this problem, we need to use the following identities:

[tex]\displaystyle \cot^2\theta=\csc^2\theta-1[/tex]

[tex]\displaystyle \tan\theta=\frac{1}{\cot\theta}[/tex]

Since we are given:

[tex]\displaystyle \csc\theta=2\sqrt{3}[/tex]

And the angle is in the first quadrant, calculate the cotangent:

[tex]\displaystyle \cot^2\theta=(2\sqrt{3})^2-1[/tex]

[tex]\displaystyle \cot^2\theta=4*3-1=11[/tex]

[tex]\displaystyle \cot\theta=\sqrt{11}[/tex]

The tangent is:

[tex]\displaystyle \tan\theta=\frac{1}{\sqrt{11}}[/tex]

Rationalizing the denominator:

[tex]\displaystyle \tan\theta=\frac{1}{\sqrt{11}}*\frac{\sqrt{11}}{\sqrt{11}}[/tex]

[tex]\boxed{\displaystyle \tan\theta=\frac{\sqrt{11}}{11}}[/tex]

Answer:

See Explanation

Step-by-step explanation:

The function is not properly given. So, to solve this question I'll assume it is:

f(x) = x² + 3

Required

Calculate the average rate of change on −1 ≤ x ≤ 3.

[The average rate of change (R) is calculated using:]

R = (f(b) - f(a))/(b - a)

[Where]

a ≤ x ≤ b = −1 ≤ x ≤ 3.

[This means that]

a = -1

b = 3

[Solving f(b); We have]

f(x) = x² + 3

[Substitute b for x]

f(b) = b² + 3

[Substitute 3 for b]

f(3) = 3² + 3 = 9 + 3 = 12

[Solving f(a); We have]

f(x) = x² + 3

[Substitute a for x]

f(a) = a² + 3

[Substitute -1 for b]

f(-1) = (-1)² + 3 = 1 + 3 = 4

[So, the equation becomes]

R = (f(b) - f(a))/(b - a)

R = (12 - 4)/(3 - (-1)

R = 8/(3+1)

R = 8/4

R = 2

[Hence, the average rate of change is 2]

Answer:

Explanation:

y= x-4

is in the slope-intercept form for a linear equation,

y= mx+b

, where

m

is the slope and

b

is the y-intercept. In the given equation,

m= 1

and

b= 4

.

To make a table to graph, give various values to

x

and solve for

y

.

Ordered Pairs

x......y

4...8

2....6

0.......4

2......2

4......0

Plot each ordered pair and draw a straight line through the points.

graph{y=-x-4 [-14.24, 14.23, -7.12, 7.12]}

Answer:

the correct graph is b for this problem

Answer:

49/10 or 4 and 9 /10ths

Step-by-step explanation:

The answer is at the top

Answer:

I didn't see any choices listed, but 4.9 as a fraction is 49/10

Answer:

you would take the amount of apples per row and multiply it by the amount of rows, so in this case it would be 55x5000 which is 275000

there's 275000 apples in all

Answer:

This Problem has no answer

Step-by-step explanation:

if you have 1 variable you at least 2 facts that aren't the same to solve for the variable

Answer:

This problem does not have a definite answers

It can have infinite answers

Answer:

The Answer is C

Step-by-step explanation:

This applies to your exam.

Answer:

C

Step-by-step explanation:

This is correct on edge 2020.

Answer: M = 6 can i have brainliest?

Step-by-step explanation:

Answer:

m=6

Step-by-step explanation:

First isolate the m by subtracting 165 from both sides.

495-165=330

165-165=0

330=55m

Since you know 330 is 55m to find m all you need to do is divide by 55 on both sides.

330/55=6

55m/55=m

6=m

Answer:

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/12 ("f of x equals x divided by 12")

Step-by-step explanation:

Answer:

-2y

Step-by-step explanation:

Let's simplify step-by-step.

x−y−(x+y)

Distribute the Negative Sign:

=x−y+−1(x+y)

=x+−y+−1x+−1y

=x+−y+−x+−y

Combine Like Terms:

=x+−y+−x+−y

=(x+−x)+(−y+−y)

=−2y

Answer:

-2y

Step-by-step explanation:

............... ..........

Given:

The series is

[tex]2x+2x^2+2x^3+...+2x^n[/tex]

To find:

Whether the given series is arithmetic, geometric, both, or neither.

Solution:

We have,

[tex]2x+2x^2+2x^3+...+2x^n[/tex]

Difference between consecutive terms are:

[tex]d_1=a_2-a_1[/tex]

[tex]d_1=2x^2-2x[/tex]

[tex]d_1=2x(x-1)[/tex]

And,

[tex]d_2=a_3-a_2[/tex]

[tex]d_2=2x^3-2x^2[/tex]

[tex]d_2=2x^2(x-1)[/tex]

Here, [tex]d_1\neq d_2[/tex].

So, the given series is not an arithmetic series.

Ratio between consecutive terms are:

[tex]r_1=\dfrac{a_2}{a_1}[/tex]

[tex]r_1=\dfrac{2x^2}{2x}[/tex]

[tex]r_1=x[/tex]

And,

[tex]r_2=\dfrac{a_3}{a_2}[/tex]

[tex]r_2=\dfrac{2x^3}{2x^2}[/tex]

[tex]r_2=x[/tex]

Similarly upto last pair of consecutive terms.

[tex]r_{n-1}=\dfrac{a_n}{a_{n-1}}[/tex]

[tex]r_{n-1}=\dfrac{2x^n}{2x^{n-1}}[/tex]

[tex]r_{n-1}=x[/tex]

Since, [tex]r_1=r_2=...=r_{n-1}[/tex], so the given series have a common ratio.

Therefore, it is a geometric series.