5 points
You went to go buy a PlayStation 5 that was on sale for 25% off. The
cashier adds tax the total your bill is $529.99. AFTER you take off the 25%
for the sale you pay the cashier $600, then how much change will you
receive back? Round to the nearest hundredth.

[tex]\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}[/tex]

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

[tex]\large\boxed{\orange{\bf y = mx + c} }[/tex]

We know that slope is [tex]\tan\theta[/tex]. So here slope will be ,

[tex]\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2} [/tex]

Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

[tex]\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}[/tex]

The equation of the graphed line is y = (-5/2)x + 5

Option D is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two coordinates from the graph.

(2, 0) and (0, 5)

The equation of the line is y = mx + c.

m = (5 - 0)/(0 - 2)

m = 5/-2

m = -5/2

(2, 0) = (x, y)

0 = (-5/2) x 2 + c

0 = -5 + c
c = 5

Now,

The equation of the line.

y = (-5/2)x + 5

Thus,

y = (-5/2)x + 5 is the equation of the line.

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Answer:

I'm pretty sure the correct answer is A from the info given

Step-by-step explanation:

Answer:

-1/15

Step-by-step explanation:

Answer:

x=-15

Step-by-step explanation:

9-3x=12x+10

-10

-1-3x=12x

+3x

-1=15x/-1

Answer:

n = - 4, - 3, - 2, - 1, 0, 1, 2

Step-by-step explanation:

Given

- 15 < 3n ≤ 6 ( divide the 3 intervals by 3 )

- 5 < n ≤ 2

Thus  n ≠ - 5 but n can equal the upper limit of 2

Hence

n = - 4, - 3, - 2, - 1, 0 , 1, 2

Answer:

orignal price of frame is 60

Step-by-step explanation:

let regular price be a

25% x a = 15

25/100 x a=15

a=15 x 100/25

a=3 x 20 = 60

Answer:

aaaah my FIRE ALARM OFF btw i think its number3

Step-by-step explanation:

Answer:

The first one is the answer

Step-by-step explanation:

-2/5(3 - 3/4) = -9/10

All option simplify to -9/10

Except the first one.

1/18 would be your answer because 3 * 6 = 18. so 18 is your denominator. 1 * 1 is still 1  so that would be your numerator. You cant simplify the numerator because it's a one and can't be simplified by any other number but 18 can be simplified but it wouldn't make sense to just simplify the denominator and not the numerator so It would stay as 1/18.

Answer:

17

Step-by-step explanation:

Answer:

it is 17

Step-by-step explanation:

I tested it out.

Answer:

she now has $165 in her savings account

Answer:

$165

Step-by-step explanation:

125+25=150

150-15=135

135+30=165

Answer:

1. =2

2. times 2

3. b.

Step-by-step explanation:

Step-by-step explanation:

B and A are equal. :) hope I helped!

Answer:

b. 30/45 = 10/15; reduce by 3

Step-by-step explanation:

a. 30/6 = 5 not 6 so no

c. 32/8 = 4. even if you reduced by 2, it would be 16/4 so no

Radius=1/2 of Diameter

radius=1/2×50

radius=25

Volume of Sphere= 4/3 pie r^3

=4/3×22/7×25×25×25

=4/3×3.14×625×25

=4/3×3.14×16625

=4/3×52202.5

=4×17400.83

=69603.32

Volume of Sphere is 69603.32 sq.cm^3

Answer:

$1082

Step-by-step explanation:

10% of $984

10/100 ($984)= $98.4

Earnings = ($98.4+$984)

Earnings = $1082.4

Earnings = $1082 (to the nearest cent)

Answer:

Option B: 1.3 hours is the correct answer.

Step-by-step explanation:

Given that:

Total distance = 140 miles

Speed on city roads = 35 miles per hour

Time travelled = 1.5 hours

Distance covered on city roads:

[tex]Distance = Speed * Time\\Distance = 35 * 1.5\\Distance = 52.5 miles[/tex]

Distance travelled on highway = Total distance - Distance on city roads

Distance travelled on highway = 140 - 52.5 = 87.5 miles

Speed on highway = 65 miles per hour

Time = [tex]\frac{Distance}{Speed}[/tex]

[tex]Time =\frac{87.5}{65}\\Time = 1.3\ hours[/tex]

Hence,

Option B: 1.3 hours is the correct answer.

Answer:

Because the numerator cannot be higher than the denominator

Step-by-step explanation:

8/6 would be counted as incorrect bc the numerator (8) cannot be higher than the denominator (6). so it would be written as 1  2/6

Answer:

ten :)))))))))))))))))))))))))

Answer:

The random variables which has a distribution that can be approximated by a binomial distribution is:

c. The number of students in the sample who scored above average on the SAT.

Step-by-step explanation:

The binomial distribution in this scenario will be between the number of students in the sample who scored below average on the SAT and the number of students who scored above average.  Variables that have a binomial distribution must meet these four conditions:

1: The observed number of students who sat for the SAT 'n' is not variable.  

2: Each student's score (observation) is purely independent of each other, either above or below average scores.  

3: Each student's score (observation) shows one of the two outcomes ("success" or "failure").  Those below average are "failures."  Those above average are "successes."

4: The outcome probability of "success" 'p' for each student is the same.

Step-by-step explanation:

these are the functions

and the others are not a functions because the domain can't match to more than one

The relationship, (January, 30), (February, 28), and (March, 25) is a function.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

We know, A relation from a set A to a set B is a function if no two distinct ordered pairs have the same x-coordinate value.

Or a relation is a function if each input has a different output.

From the given options, Option (I) is a function as the ordered pairs are,

(January, 30), (February, 28) and (March, 25).

learn more about functions here :

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Answer: x = 651.5

Step-by-step explanation:

First, we can re-write the equation as [tex]6^4[/tex] = 2x - 7.

Now, we simplify 6^4 = 1296.

1296 = 2x - 7

1303 = 2x

x = 651.5

Answer:

[tex]\dfrac{25}{216}[/tex]

Step-by-step explanation:

From the given information:

The probability (p) of winning a bottle cap = [tex]\dfrac{1}{6}[/tex]

The probability of not winning a bottle cap will be (q) = 1 - p

[tex]= 1- \dfrac{1}{6}[/tex]

[tex]= \dfrac{5}{6}[/tex]

Since we are told that the winning is placed once on every sixth bottle

Then the required probability = P( of not winning the first purchase) × P( of not winning the second purchase) × P( of winning the third purchase)

[tex]= \dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}[/tex]

[tex]= \dfrac{25}{216}[/tex]

Answer:

[tex]D. These\ triangles\ cannot\ be\ proven\ congruent[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\TU=SQ\\TP=PQ\\\angle TPU= \angle SPQ [Vertically\ Opposite\ Angles\ Are\ Equal]\\Hence,\\As\ we\ are\ given,\ 2\ sides\ and\ 1\ angle\ of\ each\ triangle\ correspond,\ we\\ could\ use\ the\ SAS\ Congruency Rule.\\But:\\[/tex]

As SAS Congruency Rule tells us that 'Two triangles are congruent only if two sides and an included angle of one triangle corresponds to two sides and an included angle of the other' .

Here,

As ∠TPU and ∠SPQ are NOT the included angle of ΔTUP and ΔSPQ respectively, the two triangles cannot be proven congruent through SAS Congruency.

Note: We also cannot apply SSA congruency as SSA congruency doesnt exist.

Answer:

Concept: Vectors

Answer: J. Rollerama charges $30 plus $4.50 per person. Maria has $129.

Step-by-step explanation: 129-30= 99 99/4.5= 22