Juan has x quarters and y dimes, having a minimum of 16 coins worth at most $3 combined. No less than 4 of the coins are quarters. Solve this system
of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Quarter - 25¢, dime - 10¢, total - $3 = 300¢

Inequalities:

x + y ≥ 1625x + 10y ≤ 300x ≥ 4

See attached for graphical solution. There are many solutions.

Possible one solution:

5 quarters and 17 dimes

Juan Has X Quarters And Y Dimes, Having A Minimum Of 16 Coins Worth At Most $3 Combined. No Less Than

Related Questions

how do I solve this?

Answers

Its g is increasing

I guess you could just plug in 0, 1 and -1 and graph it.

Find an expression that gives you a quotient
of 16

Answers

Answer: Does 32/2 work it equals 16  

Step-by-step explanation:

The number expression would be 32/2 which gives 16 after applying the arithmetic operation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The quotient is 16

Let us assume 32 and 2 are the numbers that can be use in the number expression

The number expression is:

= 32/2

= 16

Thus, the number expression would be 32/2 which gives 16 after applying the arithmetic operation.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

c¹⁰ ÷ c⁵ please help me asap thank you ​

Answers

Answer:

c^5

Step-by-step explanation:

All you have to do is take away the powers because of the law of indeces when dividing number with indices

Hope this helps :) im really bad at the explanations part :D

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

The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and width of the triangle.

Answers

Answer:

w = 22 in, h = 8 in.

Step-by-step explanation:

Reading the problem, I immediately see two equations. This hints me towards a system of equations problem.

Statement 1 is The width of a triangle is six more than twice the height.

The width (w) of a triangle is (=) six (6) more (+) than twice (2) the height (h).

Equation 1: w = 6 + 2h

Statement 2 is The area of the triangle is 88 in2.

The formula for the area of a triangle is [tex]\frac{wh}{2}[/tex]. So, we get our second equation.

Equation 2: wh/2 = 88

We see that we have the same number of equations as unknowns, two. This is important as it lets us know that we can find two unknowns in the two equations. If there are more unknowns than equations, then we cannot find the values of all the variables. Look for another equation in the problem. However, if the # equations greater than or equal to number of unknowns, then we are ready to start solving!  So, we can now move to solving.

Equation 1 isolates one of the unknowns (w). So, we can replace w in the second equation with the right side of eq 1. Then, we simplify for h.

[tex]\frac{wh}{2} = 88[/tex]

[tex]\frac{(6 + 2h)h}{2} = 88[/tex]

[tex]\frac{6h + 2h^2}{2} = 88[/tex]

[tex]6h + 2h^2 = 176[/tex]

[tex]2h^2 + 6h - 176 = 0[/tex]

[tex]h = -11, 8[/tex] (assuming you know how to solve quadratics)

Since we know that heights of triangles cannot be negative, we find that [tex]h = 8[/tex] in.

For the final step, we plug [tex]h[/tex] into our first equation to find [tex]w[/tex].

[tex]w = 6 + 2h[/tex]

[tex]w = 6 + 2(8)[/tex]

[tex]w = 6 + 16[/tex]

[tex]w = 22[/tex]

So, the answer is w = 22 in, h = 8 in.

To check if we were right, we can plug the values into both equations to see if they are equal. I will skip equation 1 since we used that equation "as-is" to find w.

[tex]\frac{wh}{2} = 88[/tex]

[tex]\frac{22 * 8}{2} = 88[/tex]

[tex]11 * 8 = 88[/tex]

[tex]88 = 88[/tex]

The solution checks out!

Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?

Answers

Answer:

95% of 80 is 76 and 85% of 60 is 51.

Step-by-step explanation:

Answer:

a. 76,  b. 60.

Step-by-step explanation:

a)  80 * 0.95 = 76.

b)   0.85 x = 51

x = 51/0.85 = 60.

hey I need someone to help me

Answers

Answer:

A and F

Step-by-step explanation:

You plug in each one and see which ever one gets 20.

f(x) = 9x ^ 2 - 3 then what is f(3) ? Work must be shown for this problem or no credit will be earned.

Answers

Answer:

f ( 3 ) = 81

Step-by-step explanation:

→ Substitute in x = 3

9 × 3² - 3

→ Simplify

9 × 9 - 3

→ Simplify again

78

an expression for the area of a rectangular piece of sheet metal is X^2+8x+12.
An expression for the length of the same piece of sheet metal is x+6.
Determine an expression for the width.

Answers

[tex]\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2[/tex]

One integer is 2 less than another. The sum of their squares is 34. Find the integers.

Answers

Answer:

no se bro no se inglés así no se que bas a aaer

Step-by-step explanation:

pero puedes consultar por

Please look the image attached

Answers

Answer:

I think it is c

Step-by-step explanation:

I might be wrong wait for a second answer if it is the same then I think I am right

Please look at picture for question.

Answers

Answer:

Amount spent on breakfest each day: 2B+J

Amount spent on granola bars each day: 2B

Amount spend on juice each day: J

Number of days buys breakfast: 7

What is the probability of rolling a number greater than 7 on a 6-sided die rolled

Answers

0/6 is the answer! I’m so sorry if it’s wrong.

Please take a look at the picture

Answers

Answer:

x=-22.42

Step-by-step explanation:

-18.43=3.99+x

Move the variable to the left-hand side and move the constant to the right. Change their signs.

-x=3.99+18.43

Add.

-x=22.42

Change the signs on both sides of the equation.

x=-22.42

Hope this helps :)

La probabilidad de que julio salga con carla es 0.75 , y la probabilidad de que salga con marisol es de 0.50. Si la probabilidad de que salga con carla o marisol es 0.85; calcular la probabilidad de que salga con ambas a la vez

Answers

La probabilidad de que Julio salga con Marisol y Carla al mismo tiempo es 0.40

What is the addition rule of probability for two events?

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

[tex]P(A) = 0.75\\[/tex][tex]P(B) = 0.50[/tex][tex]P(A \cup B) = 0.85[/tex]

To find: [tex]P(A \cap B)\\[/tex]

Using the addition rule, we get:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\0.85 = 0.75 + 0.50 - P(A \cap B)\\P(A \cap B) = 1.25 - 0.85 = 0.40[/tex]

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40

Learn more about probability here:

brainly.com/question/1210781

The probability that Julio will date Marisol and Carla at the same time is 0.40.

Here, we have, For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

P(A) = 0.75

P(B) = 0.50

P(A∪B)= 0.85

To find: P(A ∩ B)

Using the addition rule, we get:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

0.85 = 0.75 + 0.50 - P(A ∩ B)

P(A ∩ B) = 0.40

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40.

Learn more about probability here:

brainly.com/question/1210781

#SPJ3

complete question:

The probability that Julio dates Carla is 0.75, and the probability that he dates Marisol is 0.50. If the probability that he goes out with carla or marisol is 0.85; Calculate the probability that he will date both at the same time.

30/5.472 i need to use dividing decimals

Answers

Answer:

18.240

Step-by-step explanation:

Change the divisor 0.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

54.72 ÷ 3 = 18.240

and therefore:

5.472 ÷ 0.3 = 18.240

Both calculated to 3 decimal places.

 1 8. 2 4 0

3 5 4. 7 2 0

− 3        

 2 4      

− 2 4      

   0 7    

 −   6    

     1 2  

   − 1 2  

       0 0

     −   0

         0

A canoe travels 8 miles per hour downstream and 2 miles per hour upstream.
Let x represent the canoe's speed with no water current (still water) and y
represent the speed of the water current, in miles per hour. Then the situation
can be represented by this system of equations:
X+ y = 8
x - y = 2
Choose the two correct options.
A. The speed of the canoe in still water is 3 miles per hour.
B. The speed of the water current is 5 miles per hour.
C. The speed of the water current is 3 miles per hour.
D. The speed of the canoe in still water is 5 miles per hour.

Answers

Answer:

D

Step-by-step explanation:

I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:

D and C

Step-by-step explanation:

We are doing the elimination method. We are subtracting so we can eliminate the x variable
 x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3

Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.

x - 3 = 2.

Add 3 on both sides and you get
x = 5

Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!

Hurry help plz
Solve for an angle in right triangles

Answers

[tex]\cos \angle B = \dfrac{2}{7}\\\\\implies \angle B = \cos^{-1} \left( \dfrac{2}{7} \right) = 1.28^{\circ}[/tex]

-2.875 greater than or less than -2 7/8

Answers

Answer:

They are both the same.

Step-by-step explanation:

-2.875

7/8 = 0.875 thus -2 7/8 is equal to -2.875

pls help me i will give u thanks

Answers

(+6,+5)
Hope this helps!!

Answer:

c) (6,5)

Step-by-step explanation:

The horizontal axis represents x values

The vertical axis represents y values

can someone heelp me plz

Answers

Answer:

1052 is MLII, 450 is CDL, 952 is CMLII, and 942 is CMXLII.

Step-by-step explanation:

For 1052, M=1000 L=50 and II= 2 and if you add all those you get 1052. For 450, CD=400 and L=50 and if you add all those up then you get 450. For 952, CM=900 L=50 and II=2 and if you add all those up then you get 952. For 942, CM=900 XL=40 and II=2, and if you add all those up then you get 942.

A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)

Answers

Answer:

5/28

Step-by-step explanation:

First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.

The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.

PLEASE HELP!!!!
On a Saturday, a library checked out 117 books. If 36 of the books were fiction, what is the ratio
of non-fiction books to fiction books checked out?

Answers

36:81

117 - 36 = 81
Answer:

4/9

Solution:

117-36 = 81
So out of the 117 books checked out, 36 of them were fiction and 81 were non-fiction, 36/81 simplified to lowest terms is 4/9

if u help me ill give u brainliest​

Answers

Answer:

150000000

Step-by-step explanation:

30x5000000=150000000

20% of 50. Mathmethics

Answers

Answer:

1000%

Step-by-step explanation:

just multiply both

brainliest pls

Answer:

10

Step-by-step explanation:

 20 x 50

    100  

         

Given m \| nm∥n, find the value of x. m n t (4x+4)° (2x-16)° Answer:

Answers

Answer:

4x+4)° (2x-16)

Step-by-step explanation:

(4x+4)° (2x-16)°

how to find the circumference with a radius​

Answers

Answer:

The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle. Since we have two semi-circles we can find the circumference of one whole circle with a radius of 4, which would be 8π.

Answer:

the circumference is pi*diameter. diameter is radius*2, and so (radius*2)*pi is the circumference

PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!

Answers

Answer:

See below

Step-by-step explanation:

1) Total points = 252) Points earned = 213) Percent score = 84%

Proportion:

21 / 25 = 84% / 100%

Solving the others in the table

21 out of 25 points:

21/25 = x/ 100 ⇒ x = 100*21/25 = 84

15 out of 20 points:

15/20 = x/100 ⇒ x = 100*15/20 = 75

47 out of 50 points:

47/50 = x/100 ⇒ x = 100*47/50 = 94

28 out of 30 points:

20 / 30 = x/100 ⇒ x = 100*20/30 = 66.66

19 out of 45 points:

19/45 = x/100 ⇒ x = 100*19/45 = 42.22

3 out of 4 points:

3/4 = x/100 ⇒ x = 100*3/4 = 75

Which linear equation would produce a y-intercept of (0,-7) and a slope of 5?

Answers

Answer: y=5x-7

Hope this helps! :)

Cute Castle Toy Store is having its annual holiday sale, when every toy in the store gets
marked down. During the sale, Ted purchases 4 Mighty Muscle action figures to add to his
collection, each at $3 less than full price. Ted pays a total of $92. How much does each
Mighty Muscle action figure cost at full price?

Answers

Each Mighty Muscle action figure cost $26 at full price.

Let x represent the cost of Mighty Muscle action figure at full price.

He bought 4 Mighty Muscle action at $92, hence:

4(x - 3) = 92

Simplifying the parenthesis:

4x - 12 = 92

Add 12 to both sides:

4x - 12 + 12 = 92 + 12

4x = 104

Dividing both sides by 4:

4x/4 = 104/4

x = 26

Therefore, each  Mighty Muscle action figure cost $26 at full price

Find out more at: https://brainly.com/question/15036999

nos
5. In the diagram above, zero represents the location of Martin Luther King Middle School Point K represents the
library, which is located to the east of the middle school. In words, create a real-world situation that could
represent point L, and describe its location in relation to 0 and point K.

Answers

Answer:

1/12

Step-by-step explanation:

Other Questions
Please help ASAP...Find - xy , for x = -75.9 and y = 2.6. How does a lobbyist impact the law making process? They handled requests from the constituents on the behalf of their Representative. They work on the behalf of Interest Groups to attempt to influence them to make laws that benefit the efforts of those in their group. They volunteer to do research and office duties in the office of the Representative. They gather information on issues the committees will handle. in turkeys the allele for brown feather is dominant to the allele for a yellow feather. if two heterozygous turkeys mate and produce offspring, what is the probability of an individual offspring having yellow feather?50%025%100% 6. The police department of a major city has found that the average height oftheir 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Usingthe normal curve table, answer the following:a. How many officers are at least 75 inches tall?b. How many officers are between 65 and 72 inches tall?c. If an officer is at the 35th percentile in terms of height, how tall is she or he?d. Assuming an equal amount of service, the top 10% of the police officers interms of height also make higher salaries than their less favored fellow of-ficers. How tall does an officer have to be to get a better salary?e. What is the probability of encountering an officer who is 66 inches tall orless?f. What heights are so deviant that their probability of occurrence is .05 orless? Find the equation of the line passing through the points 7,2 and 9,1 which of the following online creation tools will be used if a person wants to create a video presentation?a. Piktochartb. Prezi c. Powtoond. Zamzar A car travels at 40 mph. what distance will it travel in 3 hours? 2.7z + 1.2z - 6.5 = 0.7 Why are sound waves considered a type of mechanical energy?Question 6 options:Sound waves can travel through spaceSound waves can travel through a solidSound waves transfer energy by the motion of particlesSounds waves are made by machines Dorit wants to make farmers cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12 gallon of milk. Which statement(s) describe the step(s) Dorit can take to determine how much rennet, in teaspoons, she will need to make cheese? How does Rev. William Bentley view the leisure activities of the free black population in Salem? 1 pointClaim: In the United States, we still need a post office. Which of thefollowing is NOT a good piece of evidence to support this claim? *The post office is needed for the delivery of packages.Nearly 90% of mail is junk mail and throwing it away is bad for the environment.The post office serves Americans throughout the country If this get 20 thanks I will draw what you guys want me to but it have to be easy. (x, 7) and (-7, 4); slope: 1 Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = 13 8 x find the slope of the line that passes through the following points a(4, -14) b(6, 18) A bob attached to a string of length L = 1.25 m, initially found at the equilibriumposition, is given an initial velocity v = 0.8 m/s. The maximum displacement angle,Omax, is: (Take g=10 m/s)173.21310.26.4Clear selectionA hoh attached to a string of length 2 m is displaced by an angle of 8 and then phone company offers to monthly plans. Plan a cost $11 plus an additional $.19 for each minute of calls. Plan B cost $16 plus an additional $.15 for each minute of calls I wake up 4 clocks morning I ........ get up until 7 What is advanced gastric cancer?