MATHEMATICS MIDDLE SCHOOL

A cable company charges $150 per month plus $4 for each movie watched. If Tracie's budget for cable is at most $175, what values represent this function's domain?

Answers

Answer 1

Answer:

Answer:

The function's domain is the interval $[0,1,2,3,4,5,6]$

Step-by-step explanation:

Let

x-----> the number of movies watched per month

y----> money charged by the cable company

we know that

$y=150+4x$

$y\leq 175$

$150+4x\leq 175$

$4x\leq 175-150$

$4x\leq 25$

$x\leq 6.25\ movies$

therefore

The maximum number of movies per month is equal to $6$

The function's domain is the interval $[0,1,2,3,4,5,6]$

Related Questions

2/3 x 1/4 in simplest form
5x-6y=22 in slope intercept
Light travels 300,000 km/s. The planet Mars is about 228,000,000 km from the sun. How would you find out how many minutes it takes light from the Sun to reach Mars?
In a class of 24 students 13 students sold over 150 raffle tickets each and the rest of the class sold about 60 raffle tickets each. The class goal was to sell 2000 tickets. Did they reach their goal? Explain.
1. In Tulsa, Oklahoma the sales tax is 7.9%. Ifyou buy an $850 television in Tulsa, howmuch tax will you pay?

State if the triangles in each pair are similar.If so, state how you know they are similar and complete the similarity statement.
A) similar; SAS similarity; ΔBAC
B) not similar
C) similar; SSS similarity; ΔABC
D) similar; SAS similarity; ΔABC

Answers

Answer: The correct option is

(C) similar; SSS similarity; ΔABC.

Step-by-step explanation: We are given to check whether the pair of triangles in the figure are similar to each other or not.

If so, we are to complete the similarity statement.

From the figure, we note that

the lengths of the sides of triangle STU are

ST = 72, TU = 80 and SU = 56.

And, the lengths of the sides of triangle ABC are

AB = 27, BC = 30 and AC = 21.

So, we get

$(ST)/(AB)=(72)/(27)=(8)/(3),\n\n\n(TU)/(BC)=(80)/(30)=(8)/(3),\n\n\n(SU)/(AC)=(56)/(21)=(8)/(3).$

That is,

$(ST)/(AB)=(TU)/(BC)=(SU)/(AC)=(8)/(3).$

Therefore, the corresponding sides of the two triangles are proportional.

Hence, triangle ABC and STU are similar by SSS similarity.

Option (C) is CORRECT.

Answer:

Option C) similar; SSS similarity; ΔABC

Step-by-step explanation:

we know that

The SSS similarity state : If the corresponding sides of two triangles are proportional, then the two triangles are similar

In this problem

80/30=56/21=72/27

2.67=2.67=2.67 -----> is true

therefore

The triangles STU and ABC are similar by SSS similarity

Maria's math test had 25 questions she got 84% correct how many did she get wrong

Answers

Maria got 4 answers wrong as per linear equation.

What is a linear equation?

A linear equation is an equation that has a variable with the highest power of 1. A linear equation may consists of multiple variable. However, the highest power of any variable will be 1.

Given, Maria's math test had 25 questions.

She got 84% correct.

Therefore, she got wrong

= (100 - 84)%

= 16%

Now, the number of questions she got wrong is

= 25 × 16%

= 4

Learn more about linear equation here: brainly.com/question/10047053

SPJ2

$(x)/(25)=84% \n (x)/(25)=.84 \n 25( (x)/(25))=(.84)(25) \n x=21$
Maria got 21 correct.

Number wrong = Total - Number right
y = 25 - 21
y = 4

Maria got 4 wrong.

Hope this helps!

A dartboard has a diameter of 12 inches. What are its radius and circumference? Round to the nearest hundredth. Use 3.14 for π. The radius is inches. The circumference is approximately inches.

Answers

Radius=Diameter/2
=12/2
=6 inches

Circumference=2*3.14*radius
=2*3.14*6
=37.70 inches

Answer:

1) 12in

Step-by-step explanation:

The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.

21. The notation for the length of the segment betweenP and Q is_
a. PQ
b. QP
C. PQ
d. PQ

Answers

We have that

All the options above are correct but PQ is mostly used because of its places in the alphabetical system

Correct option is

a,c,d

From the question we are given that:

P Q as a length

Mostly used in Trigonometry and Geometry are letters for the representation of points and combined to form lengths and determine distances

Therefore P and Q as points are represented as lengths wen the are given as

Represented as PQ or QP ( $\bar {PQ}$ )( $\bar {QP}$ )