The given system of eqqations models the coins in a jar containing n nickels, d dimes, and a quarters. Which statement is
modeled by one of the equations in the system?
q- dun
0 250+ 0 100+ 0.05n-6.05
+0+-36
The number of nickels is equal to the total number of dimes and quarters
The total value of the coins in the jar is $36
There is a total of 36 coins in the jar
There is an equal number of nickels, dimes, and quarters

Answers

Answer 1

Answer:

Option (3).

Step-by-step explanation:

This question is incomplete; find the compete question in the attachment.

Equation (1):  q = d + n

"Total number of quarters is equal to the sum of number of dimes and nickels."

Equation (2): 0.25q + 0.10d + 0.05n = 6.05

"Total value of the coins in the jar is $36"

Equation (3) : q + d + n = 36

"There are a total of 36 coins in the jar."

By comparing the options given, we find the third option which matches with equation (3)

Therefore, option (3) is the correct answer.

The Given System Of Eqqations Models The Coins In A Jar Containing N Nickels, D Dimes, And A Quarters.

Related Questions

A swimming pool is in the shape of a right rectangular prism. The base of the pool has an area of 216 square feet. When the pool is completely filled, it holds 1,944 cubic feet of water. What is the depth of the water when the pool is completely full?

Answers

Answer:

Just divide

1944/216=9

9 feet deep

Hope this helps

Step-by-step explanation:

The transformation from the function f(x) = 3X to the function f(x)= 3x+4 indicate

Answers

Explanation this function of the graph is leveled by x axis
Answer: that is it examples

a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length

Answers

Answer:

2x+2(x+5)) = 24

Step-by-step explanation:

2x+ 2(x+5) = 24

x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.

What is the surface area of the square pyramid?

Answers

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]

[tex]5625+150\cdot \sqrt{9506.25}=[/tex]

[tex]5625+14625=[/tex]

[tex]20,250[/tex]  square yards, or answer choice D.

Hope this helps!

Identify the measure of arc HD◠.

The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D.

Answers

it is 17 bc the 18 times 34

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

We have,

In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.

Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.

The intercepted arc closest to angle DRL has a measure of 18 degrees.

Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.

The measure of this arc is given as 102 degrees.

Therefore,

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

Learn more about arc lengths here:

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s varies directly as t, and = 8 when = 16. Find the constant of variation and write a direct variation equation relating s and t. Then find t when = 16. (Write answers in decimal form.)

constant of variation:

direct variation equation:

when s=16, t=

Answers

Answer:

aS

Step-tep explanation:

Find the area

Please help me thank you!

Answers

The answer to your question is 20

I am giving 25 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?

Answers

Answer:

[tex]\frac{7}{16}[/tex]

Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.

So, since the total is 16, this will be the denominator, and the 7 will be the numerator.

So, it will be [tex]\frac{7}{16}[/tex]

You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.



help and thanks!!

Answers

Answer:

1/6

Step-by-step explanation:

If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)

1/3*1/2= 1/6

Answer:

The answer is 1/6

Step-by-step explanation:

This is because the dice has 6 sides so the possibility of getting a even is 1/6

Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?

Answers

she will need to find the perimeter of the wall and the perimeter is 150ft

Answer:Perimeter, 50ft

Step-by-step explanation:since it is around the answer is 50 ft

PLS HELP ME
M^2- 7m+1 ?

Answers

Answer:

Step-by-step explanation:

factorize the given equation like this

m^2-7m+1

m^2-2m+1-5m

(m-1)^2-([tex]\sqrt{5m}[/tex])^2

(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])

Math isnt my strong suit..

Answers

1) B, 2) E, 3)C, 4)A, 5)D

Answer:

See explanation below.

Step-by-step explanation:

First, read this explanation of how to understand probability numbers.

A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.

A probability of 0 means the event will not happen. It is an impossibility.

A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.

A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.

A probability of between 0 and 0.5 is more likely not to happen than to happen.

A probability of between 0.5 and 1 is more likely to happen than to not happen.

Now let's look at each one of the probabilities in your problem.

1. 1/4

1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.

1. b. Unlikely

2. 0.0

0.0 will definitely not happen.

2. e. Impossible

3. 0.50

0.50 can just as easily happen or not happen.

3. d. Equally Likely

4. 100%

100% is the same as 1. A probability of 1 means an event that is certain to happen.

4. a. Certain

5. 75/100

75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.

5. c. Likely

What happens to the parabola when a<1 compared to the parent function?

Answers

Answer: The parabola is wider than the parent function

Step-by-step explanation:

If "a" is a fraction less than one, then the parabola becomes wider.

See graph (attached)

set f(y)=x and solve for y

Answers

Answer:

f = 1

y = 0

Solved for y

Step-by-step explanation:

Step  1  :

Pulling out like terms/ factors.

Step  2  :

Theory - Roots of a product .

Step 3 solving a Single Variable Equation.

Answers:

 f = 1

y = 0

Hope this helps.

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

–4
8
12
24

Answers

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years

Step-by-step explanation:

i = prt

i = ($61,000)(.14)(2)

i = $17,080

$78,080

Answer:

$78080

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 61000 × 14/100 × 2

I = $17080

She have = 61000 + 17080 = $78080

what is s+53=g so g=68 so how old is sweet age add

Answers

Answer:

s = 15

Step-by-step explanation:

Using the given information to solve for s, the work would look something like this:

s + 53 =g, g=68

s + 53 = 68 (Subtract 53 from both sides to get s by itself)

53 - 53 = 0, 68 - 53 = 15

s = 15

Therefore, s is equal to 15

Hope this helps! Have a good rest of your day!

Answer:

15

Step-by-step explanation:

This is very simple, first we write the equation, s+53=g, and plug 68 into "g", so now we have s+53=68. Subtract both sides, s+53-53=68-53, and this equals 15 years of age

What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?

Answers

Answer:

i cant answer that i'm only in 8th

How can you find f(2) if f(x) = -3x2 – 7?

Answers

Answer:

-3(2) x 2 -7 = -6x2-7 =-19

Step-by-step explanation:

The value of f(2) for the given function f(x) = -3x² – 7 will be -19.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given function,

f(x) = -3x² – 7

Put x = 2

f(2) = -3(2)² - 7

f(2) = -2(4) - 7

f(2) = -8 - 7 = -15

Hence "The value of f(2) for the given function f(x) = -3x² – 7 will be -19".

For more about the function,

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Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?

Perimeter:

Area:

Answers

Answer:

Perimeter =63 inches

Area = 243in²

Step-by-step explanation:

Given data

Length of computer = 18in

Width of computer = 13.5in

From the given data the computer has a rectangular shape

Perimeter of the computer = L+L+W+W= 2L+2W

Perimeter = 2(18)+ 2(13.5)

Perimeter = 36+27=63 inches

Area of rectangular shape = L*W

Area = 18 x 13.5= 243in²

Answer:

Perimeter: 63 inches

Area : 243 square inches  

Step-by-step explanation:

Hi, to answer this question w eave to apply the next formulas:

Perimeter of a rectangle: (2 x width) + (2 x length )

Area of a rectangle: width x length

Replacing with the values given:

Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches

Area = 18 x 13.5 = 243 square inches  

Feel free to ask for more if needed or if you did not understand something.

A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a 6-pack of juice cans? Tell the steps you used to calculate your response. *

Answers

Answer:

It was a cylinder shape

volume of cylinder is

= \pi {r}^{2} h

Radius of the can

=6.6÷2

=3.3

Volume of 6 can

6(3.142 \times  {3.3}^{2}  \times 12.1) \\ =  6(3.142 \times 10.89 \times 12.1) \\ =  6(34.21638 \times 12.1) \\  = 6(414.018198) \\ = 2484.109188 \\   = 2484.11 \: (2d.p.)

Answer

2484.11

Step-by-step explanation:

Which expression has the same value as 5(4x+4)

Answers

Answer: 20x + 20

Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.

So we have 5(4x) + 5(4) which simplifies to 20x + 20.

Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?

Answers

Sounds like a Bayes Theorem problem.

Events:

F: Roger makes his first serve.  We'll write ~F for "not F".

P(F) = .63

P(~F) = 1 - .63 = .37

W: Roger wins the point.  We don't know P(W) but we are given

P(W | F) = .78

P(W | ~F) = .57

We're asked for

P(~F | W)

The basic conditional probability theorem is

P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)

P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)

We write

P(W) =  P(W | F) P(F) +  P(W | ~F) P(~F)

Substituting gives Bayes' Theorem:

P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) +  P(W | ~F) P(~F) )

We know all the parts so we substitute,

P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294

Let's call that 30%

Answer: 30%

Answer:

0.3

Step-by-step explanation:

We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability  of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.

what is absolute diviation

Answers

It’s the average distance between each data value and the mean.

Answer:

one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD

Step-by-step explanation:

Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 10 meters and 3 meters. The second rectangle has side lengths of 3 meters and 8 meters. What is the combined area? *

Answers

Answer:

54

Step-by-step explanation:

Since they don’t overlap, just find the area of each rectangle and add it together. for example, the first rectangle will be 30 because 3x10=30. the second rectangle will be 24 because 3x8=24. 30+24=54. hope this helped :)

I need this answer please tell me the answer

Answers

Answer:

less than

[tex]1 \frac{1}{2} [/tex]

I believe

NEED HELP! ASAP PLEASE!

Answers

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

find the value of x in the following..... 3^x = 8​

Answers

Find logarithm of both sides

log (3^x) = log 8

xlog3 = log8

x = log8/log3

x = 1.893

Answer:

x ≈ 1.893 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] = n logx

Given

[tex]3^{x}[/tex] = 8 ( take the log of both sides )

log[tex]3^{x}[/tex] = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893

11(4t + 1) what is the answer

Answers

Answer:

44t + 11

Step-by-step explanation:

11(4t + 1)

Distribute 11 amongst the values inside the parenthesis

11(4t) + 11(1)

Multiply

44t + 11

Hope this helps :)

Answer:

[tex]44t + 11[/tex]

Step-by-step explanation:

[tex]11(4t + 1) \\ = 44t + 11[/tex]

Maria está en el piso 6 y quiere ir al sótano 2. Cuantos pisos bajará?

Answers

Answer: 8

Step-by-step explanation:

Ella tiene que bajar los 6 pisos, mas 2.

6+2=8

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