The Art Club at Reynolds High School (ROCA) is selling paintings and clay coffee mugs to raise money for a trip to all the museums on the west coast. The cost for each painting is $20 and each mug is $15. The Art Club thinks they will sell at most 350 items. In order to meet their goal, they want to raise more than $4500. Write a system of linear inequalities to model the situation and then solve.

Answers

Answer 1

Answer:

See below and attached

Step-by-step explanation:

Let the number of paintings is x and the number of mugs is y.

We have following inequalities:

x + y ≤ 35020x + 15y > 4500

The graphical solution is attached.

The solution is:

225 < x ≤ 350300 < y ≤ 350
The Art Club At Reynolds High School (ROCA) Is Selling Paintings And Clay Coffee Mugs To Raise Money

Related Questions

A ​$108,000 down payment would be? of the purchase price.

Answers

Answer: 45%

Step-by-step explanation:

You need to purchase price to answer this question and I believe that purchase price to be $240,000.

The question wants to know the percentage of the purchase price that the down payment is and to find that out, use the following formula:

= Down payment / Purchase price * 100%

= 108,000 / 240,000 * 100%

= 45%

Answer:

45%

Step-by-step explanation:

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

From the classroom window, Melissa finds that the angle of elevation to the top of the flagpole is 22 degrees. Her teacher tells them that they are approximately 18 feet up from the ground and that the flagpole is 50 feet away from the building. What is the height of the flagpole based on this information to the nearest tenth of a foot?

Answers

Answer:30

Step-by-step explanation:

does anyone know the answer?

Answers

Answer:

x = 145

Step-by-step explanation:

The angles are same side exterior angle and same side exterior angles are supplementary

x +35 =180

Subtract 35 from each side

x = 180-35

x =145

Answer:

x=145

Step-by-step explanation:

180 -35 = 145

angle in a straight line add up to 180

x=145

F angle /corresponding angle are the same

which equation has x=4 as the solution

Answers

(1) step by step below

A pizza parlor advertises pizza options. They offer 7 toppings and allow up to 4 on each pizza. Write an expression that represents this situation.
A: 7!
B: 7!/3!
C: 7!/4!3!
D: 4!3!/7!

Answers

Answer:  Choice C

Explanation:

This is after using the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.

We use nCr instead of nPr because the order of the toppings doesn't matter.

Comes with a picture
multiple-choice answer please help I need immediate help
Thank youuuu

Answers

Answer:

The answer is A. 31,250.

Step-by-step explanation:

To solve for the 7th term in the geometric sequence, start by plugging 7 into the explicit formula, and the formula will look like [tex]a_{7}=2*5^{(7-1)}[/tex].

Next, subtract 1 from 7, and the formula will look like [tex]a_{7}=2*5^{6}[/tex].

Then, raise 5 to the power of 6, which will look like [tex]2*15625[/tex].

Finally, multiply 2 by 15,625, and the answer will be 31,250.

descending order of 2.061,0.66,2.612,6.21,2.62

Answers

Answer:

Step-by-step explanation:

Descending order:

6.21     ;           2.62   ;  2.612    ; 2.061    ;  0.66

First see the whole number. write the number with biggest whole number.

6.21

2) Then three numbers have 2 . So, now compare the tenth place.

Two numbers have same place value 2.62 and 2.612.

Compare the hundredth place value in these two numbers.

So, 2.62

3) 2.612

4) 2.061

5) 0.66 is the smallest

A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the calculator with a $100 bill?

Answers

Answer:

64 dollars

Step-by-step explanation: 120×30%= $36-$100= $64

She receives $16 when she pays for the calculator with a $100 bill

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A calculator which is marked at $120 is sold for cash at a 30% discount.

So, It was sold for 70% of its mark value assuming that to x.

(70/100)×120 = x.

x = $84.

So, Susan will receive $(100 - 84) = $16.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

For every 5 balloons in the sky, 2 of them will be rainbow. If there was 150 of them in the sky, how many would be rainbow?

Answers

60 -> 2 times 150 then you divide it by 5.
Set up the proportion: 2/5=x/150
Cross multiply: 5x=300
Answer= 60 rainbow balloons

Three boys and four girls enter a contest at the local movie theater. A randomly chosen winner will be awarded a free movie ticket, a collectible poster, or free popcorn. What is the probability that a girl will win free popcorn?

A. 3/21

B. 4/21

C. 3/7

D. 4/7

Answers

Answer:

D. 4/7

Step-by-step explanation:

There are 7 people in people and there are 4 girls, that would be 4/7.

Plz help me I need a correct answer asap

Answers

[tex]\geq[/tex]Answer:

part A---   -9[tex]\geq[/tex]9

Step-by-step explanation:

Answer:

answer -9>9

Step-by-step explanation:

rbfodnddn bdbndndn

I need these 4 I really don't understand this​

Answers

Answer:

6:

[tex] {x}^{2} - 2x - 3 \\ = (x - 3)(x + 1) \\ when \: y = 2 \\ x = 1 \\ vertex \: is \: (1, \: 2)[/tex]

7:

[tex] {x}^{2} = - 625 \\ x = \sqrt{ - 625} \\ x = \sqrt{625} \times \sqrt{ - 1} \\ x = 25 \times \sqrt{ {i}^{2} } \\ x = 25 \times i \\ x = 25i[/tex]

solve for X and Y. be sure to solve for both.

Answers

Answer:

x = 48; y = 13

Step-by-step explanation:

20/5 = 52/y

4 = 52/y

4y = 52

y = 13

20/5 = x/12

4 = x/12

x = 4 * 12

x = 48

Answer:

x = 48, y = 13

Step-by-step explanation:

Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48

can anyone help with these four⁉️ Will mark brainliest:D !!

Answers

Answer:

Step-by-step explanation:

Solve for x.
2/5 ≤ x-4

Answers

2/5 ≤ x-4

0.4 ≤ x-4

let's just add 4 on both sides

0.4 +4 ≤ x-4 +4

4.4 ≤ x

simple as that. just handle inequalities like you would handle equations

pls answer this for me now

Answers

Answer:

(3) 48

Step-by-step explanation:

The angle inside the ABC one is two times its angle size

Which answer is it?

Answers

Answer:

C

Step-by-step explanation:

C 18.6 i took it in a test trust me

The distance between points A and B is?

Answers

Answer:

√85

Step-by-step explanation:

A (-3 , 4)    B (4 , -2)

AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85

AB = √85

Please help me as fast as you can

Answers

Answer:

0.99

Step-by-step explanation:

divide 6.93 by 7.

Answer:

= 0.99

Step-by-step explanation:

We have the equation:

6.93 ÷ 7 = ?  

 [tex]\left[\begin{array}{ccccccc}&&0.&9&9\\7&&6.&9&3\\&&-&6&3\\\left&&&&6&3\\&&&-&6&3\\&&&&&0\end{array}\right][/tex]

       0 . 9   9        ↑    7    6 9  3      −6 3  ↓         6  3       −6  3       0

how can the position of a certain value in a given set of data be described and used in solving real-life problems?

Answers

Statisticians often talk about the position of a value, relative to other values in a set of data. The most common measures of position are percentiles, quartiles, and standard scores (aka, z-scores).

Percentiles
Assume that the elements in a data set are rank ordered from the smallest to the largest. The values that divide a rank-ordered set of elements into 100 equal parts are called percentiles.

An element having a percentile rank of Pi would have a greater value than i percent of all the elements in the set. Thus, the observation at the 50th percentile would be denoted P50, and it would be greater than 50 percent of the observations in the set. An observation at the 50th percentile would correspond to the median value in the set.

Quartiles
Quartiles divide a rank-ordered data set into four equal parts. The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively. The chart below shows a set of four numbers divided into quartiles.

Eight numbers: 1, 2, 3, 4, 5, 6, 7, 8
Note the relationship between quartiles and percentiles. Q1 corresponds to P25, Q2 corresponds to P50, and Q3 corresponds to P75. Q2 is the median value in the set.

While measures of central tendency, dispersion, and skewness are used often in statistics, there are other methods of characterizing or describing data distributions or portions that are commonly used as well. We will examine several of these statistical measures, some of which you may already know or have seen elsewhere.


Standard Scores (z-Scores)
A standard score (aka, a z-score) indicates how many standard deviations an element is from the mean. A standard score can be calculated from the following formula.

z = (X - μ) / σ

where z is the z-score, X is the value of the element, μ is the mean of the population, and σ is the standard deviation.

Here is how to interpret z-scores.

A z-score less than 0 represents an element less than the mean.
A z-score greater than 0 represents an element greater than the mean.
A z-score equal to 0 represents an element equal to the mean.
A z-score equal to 1 represents an element that is 1 standard deviation greater than the mean; a z-score equal to 2, 2 standard deviations greater than the mean; etc.
A z-score equal to -1 represents an element that is 1 standard deviation less than the mean; a z-score equal to -2, 2 standard deviations less than the mean; etc.

sqrt x^ 2 +7 -2*=x-1​

Answers

Answer:

No solution for X€®Step-by-step explanation:

HOPE IT HELPS OR NOT SURE !!!!!!

If a line falls on the points (6,22) and (4,21), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar​

Answers

Answer:

1/2

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = (y2-y1)/(x2-x1)

    = (22-21)/(6-4)

    = 1/2

Answer:

slope , m = 1/2

Step-by-step explanation:

We have two points which are ( 6,22) and (4,21).

To find slope , using slope formula

m = ( y² - y¹ ) / ( x ² - x ¹)

Where,

m, is the slope ( y² - y¹ ) = ( 22- 21 ) ( x ² - x ¹) = ( 6 - 4 )

Substitute the values into the formula

m = ( 22 - 21 ) / ( 6 - 4 )

m = 1 / 2


5 mins left!!!!!!!!


Does the residual plot show that the line of best fit is appropriate for the data?

No, the points are in a curved pattern.
No, the points are evenly distributed about the x-axis.
Yes, the points are in a linear pattern.
Yes, the points have no pattern.


Answers

Answer:

No, the points are evenly distributed about the x-axis

Step-by-step explanation:

Hope its right , if not so advance sorry :)

Show that 0-58200-48826-5 is a valid UPC number.

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex]UPC = 0-58200-48826-5[/tex]

Required

Show that it is valid

Add up the elements at odd positions

[tex]Odd = 0 + 8 + 0 + 4+8+6[/tex]

[tex]Odd = 26[/tex]

Multiply by 3

[tex]Product = 26 * 3[/tex]

[tex]Product = 78[/tex]

Add up the elements at even positions

[tex]Even = 5 + 2 + 0 + 8 + 2 + 5[/tex]

[tex]Even = 22[/tex]

Add up both results

[tex]Result = 78 +22[/tex]

[tex]Result = 100[/tex]

Take modulus of 10

[tex]Result \% 10 = 100 \% 10[/tex]

[tex]Result \% 10 = 0[/tex]

Since the result of the modulus is 0, then the number is valid

*SHOW STEPS PLEASE* You can verify the zeros of the function y=x^2+6x-7 by using a graph and finding where the graph ________

a) is at a maximum.
b) is at a minimum.
c) crosses the y-axis.
d) crosses the x-axis

Answers

The graph crosses the x axis, because your roots are the x axis, so if you find where it intercepts the graphs at your x axis those are your solution or “zeros”

-4х + 5y=— 28
4x – 3y = 20

Answers

I hope it's correct and it helps I don't know how to explain it lol

What is the slope of the line

Answers

Answer:

below

Step-by-step explanation:

∆y/∆x

2.3/1.5

= 1.533

What is the value of x?

Answers

Answer:

i dont know but the answer will be 1

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Answers

Answer: -9/2

Step-by-step explanation:

Answer:

x = -9/2

Step-by-step explanation:

Use the law of exponents

(a^p)^q = a^(pq)

here on the left-hand-side

a=3

p=3

q=2x+6

so

(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)

The right-hand-side = 3^(2x)

Equate exponents of both sides

6x+18 = 2x

6x-2x = -18

4x = -18

x = -9/2

Jane and Tannic split the cost of buying a video game. The game costs$25, and the sales is 6% markup. How much do they each pay?

Answers

Given:

The cost of game = $25

Sales markup = 6%

To find:

How much do they each pay?

Solution:

The sales markup is 6% of the cost.

[tex]\text{Sales markup}=25\times \dfrac{6}{100}[/tex]

[tex]\text{Sales markup}=1.5[/tex]

Now, the total cost after sales markup is:

[tex]25+1.5=26.5[/tex]

Jane and Tannic split the cost of buying a video game. It means they divide the cost in two equal parts. So, the amount paid by each one is

[tex]\dfrac{26.5}{2}=13.25[/tex]

Therefore, Jane and Tannic will pay $13.25 each .

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