Marcus plans to spend $72 at a local clothing store that sells t-shirts for $8 each and jeans for $12 each, sales tax included. This scenario is modeled by 8x + 12y = 72, where X represents the number of t-shirts purchased and y represents the number of jeans purchased.
What point on the graph represents Marcus' purchase if it consisted of only t-shirts?

Option
A. The x intercept (9,0)
B. The y intercept (0,6)
C. The x intercept (6,0)
D. The y intercept of (0,9)

Marcus Plans To Spend $72 At A Local Clothing Store That Sells T-shirts For $8 Each And Jeans For $12

Answers

Answer 1

Answer:

a. the x intercept (9,0)


Related Questions

Plsss help!! In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

Answers

Answer:

90°

Those three sides make a right triangle,

√(84²+13²) = 85

So angle C is 90°

Answered by GAUTHMATH

Arturo's goal is to find a job that provides an income of at least $60,000 a year. Kristen's Furniture offers him a job paying a base salary of $14,000 a year, plus a commission of 7% of his sales. Determine what Arturo's total sales will need to be for him to have a yearly income greater than or equal to $60,000.

If Arturo takes the job with Kristen's Furniture, he will need to have at least
$
in total sales to have a yearly income greater than or equal to $60,000 per year.

Answers

Answer:

He will need at least 657,142.86

Step-by-step explanation:

Determine how much commission he needs

60000-14000

46000

Commission is 7%

Let x be the sales

x*7% = 46000

x*.07 = 46000

Divide each side by .07

x = 46000/.07

x =657142.85714

Rounding to the nearest cent

x = 657,142.86

find the original price if the price was 420 after a 10% discount

Answers

Answer:

466.67

Step-by-step explanation:

Let p be the original price

p - 10 % p = 420

p - .10p = 420

.9p = 420

Divide each side by .9

.9p/.9 = 420/.9

p =466.666666

Rounding to the nearest cent

p = 466.67

simplify -8/2 ÷ 6/-3​

Answers

Answer: the answer is 2 or C

-8/2 x -3/6

*Always do the recipical*

(-8 x -3) / (2 x 6)

-8 x -3= +24

2 x 6= 12

24/12= 2

The solution of the given expression -8/2 x -3/6 is 2. The correct option is B.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that the expression is,

-8/2 x -3/6

The expression will be solved as below,

E = (-8 x -3) / (2 x 6)

The numerator will get reciprocal and multiplied to the denominator,

E = 24 / 12

Divide the number 24 by 12 and get the solution,

E = 2

Therefore, the solution of the expression will be 2. The correct option is B.

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25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?

Answers

Answer:

25 -(.3*25)

25-7.50 = $17.50

Step-by-step explanation:

Answer:

17.50

Step-by-step explanation:

First find the amount of the discount

25 * 30%

25 * .3

7.5

Subtract this from the original amount

25 - 7.5

17.50

A piece of fabric is 1/3 yard by 3 5/8 yards.
Irma solves 1/3*3 5/8 to find the area of the fabric in square yards.

Enter numbers to complete Irma's calculation for the area. (TTM)

Answers

Answer:

favricis 1/3 yard bt 3 5/8 yards wich it will be 64

y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y

Answers

9514 1404 393

Answer:

  Y = 7.2

Step-by-step explanation:

We can multiply each element of the set by 5/6 and see which result is an integer. We find 5(7.2)/6 = 6, an integer.

  Y = 7.2

write an example of a monomial of degrees 5​

Answers

Answer:

find the value of:Cos = 0.54

Which expression is equivalent to (x^-6/x-2)^3

Answers

Answer:

= (6/x - 2)^3

If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong

Answers

Answer:

The probability is [tex]\frac{3}{4^7}[/tex].

Step-by-step explanation:

Total questions = 7

Number of choices of each question = 4

Probability to give the correct answer = 1/4

Probability to give the wrong answer = 3/4

Probability to give 1 answer wrong

[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]

45 girls and 30 boys ratio in the lowest terms

Answers

Answer:

3:2

Step-by-step explanation:

45, 30

both divisible by 15, so:

3 : 2

bc :

3*15 = 45

2*15 = 30

Answer: 2/3

Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3

Select all that apply Which of the following are characteristics of frequency tables? Multiple select question. They can be used for qualitative data. They can be used for quantitative data. No observation can fit into more than one class. The percentage of observations in each class is provided.

Answers

Answer:

They can be used for quantitative dataThey can be used for qualitative data.No observation can fit into more than one class

Step-by-step explanation:

The frequency table refers to the number of times the event occurs and lists the items shown by value and thus is quantitative and qualitative such as graphs and numerical summary.

The following are characteristics of frequency tables:

They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one class

A frequency is the number of times a particular event, category or value occurs. A Frequency table is a grouping or table that lists qualitative data into classes showing the number of observations or occurrence of items or data in each class.

organize raw data into the readable datadisplays the frequency of various outcomes of the sample.count of occurrences of that outcome used for qualitative as well as quantitative data.

Thus, the correct answer is -

They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one class

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The radius of the large sphere is times longer than the radius of the small sphere.
How many times the volume of the large sphere is the volume of the small sphere?
Help! Help! Help! Please!

Answers

Answer:

A. ¹/27

Step-by-step explanation:

✔️Volume of large sphere = ⁴/3πr³

r = 18.6 in.

Volume of large square = ⁴/3*π*18.6³ = 26954.26 in.³

✔️Volume of small sphere = ⁴/3πr³

r = 6.2 in.

Volume of small sphere = ⁴/3*π*6.2³ = 998.31 in.³

✔️Ratio of the volume of the smaller sphere to the larger sphere = 998.31 : 26954.26

= 1 : 27

Therefore, the volume of the large sphere is ¹/27 of the volume of the small sphere.

In the diagram below, what is the approximate length of the minor arc AB?

Answers

Answer:

The answer is "Option C"

Step-by-step explanation:

Given:

[tex]r= 30 \ cm\\\\\theta =60^{\circ}[/tex]

Using formula:

[tex]\frac{A}{\theta}=\frac{\pi r^2}{2\pi}\\\\\frac{A}{\theta}=\frac{\pi r^2}{2}\\\\A=\frac{r^2\times \theta}{2}[/tex]

Given that x= –1/2 and y = 4 , evaluate 3x²y + xy²​

Answers

Answer:

-5

Step-by-step explanation:

3x²y + xy²​

Let x = -1/2 and y = 4

3(-1/2)^2 (4) + (-1/2) (4)^2

Exponents first

3(1/4) (4) + (-1/2) 16

Multiply

3 - 8

Subtract

-5

Answer:   [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]

Step-by-step explanation:                                                                                                                                                                                                                     simplify it                                                                                                                  [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex]                                                                       evalute                                                                                                        [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]                                                                                                                                                                                                                                                              

Laura is taking her family to an ice show. Each ticket costs $15, and programs
cost $6 each. She has $97. She buys 5 tickets and wants to figure out the
greatest number of programs she can buy.
If x = number of tickets and y= number of programs, which of the following
inequalities could you use to find the answer to the problem?
A. X+ y = 97
B. 15 + 6y s 97
C. 15x + 6ys 97
D. 15x + 6y2 97

Answers

Answer:

Im not sure what the answer choices are supposed to be but i think it's out of C or D.

Step-by-step explanation:

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?

$60
$80
$90
$100

Answers

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

What is the simple interest?

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

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what is rounding used to?

Answers

Answer:

rounding is used to make long/rough calculations cleaner or easier

Step-by-step explanation:

Answer:

Rounding is used in instances where you can only have a limited number of digits or You must round to the nearest digit.

Step-by-step explanation:

For example lets say i have the problem 12.5 + 4 + 3.2.

I am told to round up to the nearest whole number.

After adding all the numbers up, I find I have 19.7 since the tenths place is a 7, I would round up leaving my final answer as 20.

A side of the triangle below has been extended to form an exterior angle of 148°. Find the value of x​

Answers

Answer: 32

Step-by-step explanation:

total= 180

180-148=32

the numbers written in rectangles are the products of the numbers in connecting circle. Please solve it fast its urgent ​

Answers

Answer:

It is the third one

Step-by-step explanation:

c

pls help 10 points each 2 question due in 30 mins

Answers

Answer:  108cm%2F%222+cm%22=54 .

Then you would add more rows like that for a total of

72cm%2F%222+cm%22=36 rows.

Step-by-step explanation:

many 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping.

It is possible because 72 and 108 are both divisible by 2.

You can start by lining up in row 54 such 2cm by 2cm squares along with one of the 108cm long sides,

Really hope this helped couldnt really see it

Can someone help me with my summer school geometry work ?

Answers

Answer:

second one

Step-by-step explanation:

Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)

Answers

Answer:

y = -2x - 6

Step-by-step explanation:

Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise').  Thus, the slope of the line through these two points is m = rise/run =  16/(-8) = -2.

Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:

y + 8 = -2(x - 1), or

y = -8 - 2x + 2, or

y = -2x - 6 (in slope-intercept form)

Find the measure of 2

Answers

Answer:

92

Step-by-step explanation:

Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel

Answer:

[tex]\angle 2=92^{\circ}[/tex]

Step-by-step explanation:

When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.

In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:

[tex]\angle 2=\boxed{92^{\circ}}[/tex]

Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
|m^2+n^2|

Answers

Answer:

34

Step-by-step explanation:

We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .

Modulus :- It always gives positive value . For example ,

[tex]\rm\implies |-a| = a [/tex]

[tex]\rm\implies |a| = a [/tex]

The given modulus expression is :-

[tex]\rm\implies |m^2+ n^2| [/tex]

As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .

[tex]\rm\implies m^2 + n^2 [/tex]

Plug in the given values ,

[tex]\rm\implies (-5)^2 + 3^2 [/tex]

Solve 5² and 3² and add them ,

[tex]\rm\implies 25 + 9 [/tex]

On adding ,

[tex]\rm\implies 34 [/tex]

Therefore ,

[tex]\rm\implies \boxed{\blue{\rm |m^2+n^2| = 34 }}[/tex]

Hence the required answer is 34 .

A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runner's acceleration in this part of the race? ​

Answers

Answer:

From first Newton's equation of motion:

[tex]{ \bf{v = u + at}}[/tex]

Substitute the variables:

[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]

Acceleration is 2 ms-²

Question 3(Multiple Choice Worth 5 points)
(01.01 LC)
What is the decimal equivalent of 3/9

02
0.3
04
0,5

Answers

Answer:

0.3

Step-by-step explanation:

just divide on a calculator 3/9 and u get 0.3

Please help me answer this question​

Answers

Answer:

a, 14.13. b, 39.25

Step-by-step explanation:

so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.

A is 14.13

for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.

B is 39.25

WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)

Please answer correctly and I will give brainliest and crown plus an extra 20 points

Answers

Answer:

30.28 yd²

Step-by-step explanation:

Area enclosed = area of trapezoid + area of semicircle

= ½(a + b)*h + ½(πr²)

Where,

a = 5 yd

b = 2 + 5 = 7 yd

h = 4 yd

r = ½(4) = 2 yd

Plug in the known values

Area enclosed = ½(5 + 7)*4 + ½(π*2²)

Area enclosed = ½(12)*4 + ½(π*4)

= 6*4 + π*2

= 24 + 2π

= 30.2831853

≈ 30.28 yd² (2 decimal places)

Which numbers belong to the solution set of the inequality?
X+ 9 < 78
A. 70, 72, 74, 80
B. 44, 50, 54, 68
C. 50, 62, 66, 71
D. 87, 89, 92,95

Answers

Answer: B

Step-by-step explanation:

x+9<78 => x< 78-9=> x< 69 => b right

Answer:

B.44,50,54,68

Step-by-step explanation:

40+9<78

50+9<78

54+9<78

68+9<78

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