A vending machine has $50.40 in it. There are 432 coins total and the machine only accepts nickels and quarters. How many nickels and quarters are in the machine?​

Answers

Answer 1
Nickels = n
Quarters = q

n + q = 432

Nickels are 5 cents (0.05)
Quarters are 25 cents (0.25)

0.05n + 0.25q = 50.40

Use substitution or elimination (I like substitution)
n + q = 432 means n = 432 - q

So 0.05n + 0.25q = 50.4 is
0.05(432 - q) + 0.25q = 50.4
21.6 - 0.05q + 0.25q = 50.4
21.6 + 0.2q = 50.4
0.2q = 28.8
q = 144

Plug in to find nickels
n + q = 432 means
n + 144 = 432
n = 288

Related Questions

substitution method
a=-b+5
2b+a=11

Answers

Answer:

a = -1

b = 6

Step-by-step explanation:

a = -b + 5

2b + a = 11

2b + a = 11

2b + (-b + 5) = 11

2b - b + 5 = 11

b + 5 = 11

b = 11 - 5

b = 6

2b + a = 11

2(6) + a = 11

12 + a = 11

a = 11 - 12

a = -1

show work if can

Simplify the expression:
(3g - 8) - (2g - 1)

Answers

Answer:

g+-7

Step-by-step explanation:

Let's simplify step-by-step.

3g−8−(2g−1)

Distribute the Negative Sign:

=3g−8+−1(2g−1)

=3g+−8+−1(2g)+(−1)(−1)

=3g+−8+−2g+1

Combine Like Terms:

=3g+−8+−2g+1

=(3g+−2g)+(−8+1)

=g+−7

Answer:

[tex]g - 7[/tex]

Step-by-step explanation:

1. Remove parentheses.

[tex]3g - 8 - 2g + 1[/tex]

2. collect like terms.

[tex](3g - 2g) + ( - 8 + 1)[/tex]

3. Simplify.

[tex]g - 7[/tex]

therefor, the answer is g - 7

A parallelogram that is not a rectangle is graphed in a coordinate plane. The endpoints of a diagonal of the parallelogram
are (1, -3) and (9,2).
• What could be the coordinates of the endpoints for the other diagonal ?
Explain your reasoning. Be sure to include any geometric theorems you used in your reasoning.

Answers

Answer:

The other diagonal can be anywhere so long as the slope is 5/8 and the endpoints are sqrt(89) distance apart.

I don't know the geometric theorems :( but I hope this first part is helpful

)Suppose is a real number with 0 < < 4 . Set = sin( − ), = cos( + ), = sin( − ), and = cos(2 − ). Arrange the values , , , and in increasing order, and explain how you determined their order.

Answers

Answer:

b < c < a < d

Step-by-step explanation:

P.S - The exact question is -

Given - Suppose x is a real number with 0 < x < [tex]\frac{\pi }{4}[/tex] . Set a = sin([tex]\pi[/tex] - x) ,                                    

             b = cos([tex]\pi[/tex] + x) , c = sin( x - [tex]\pi[/tex]) , d = cos(2[tex]\pi[/tex] - x)

To find - Arrange the values of a, b, c, d in increasing order , and explain

              how you determined their order.

Proof -

Firstly draw a unit circle where you indicate the following

A = ( cos(x), sin(x) )

B = ( cos( [tex]\pi[/tex] - x) , sin ([tex]\pi[/tex] - x) )

C = ( cos([tex]\pi[/tex] + x), sin ([tex]\pi[/tex] + x) )

D = ( cos (2[tex]\pi[/tex] - x) , sin (2[tex]\pi[/tex] - x) )

As we have given that 0 < x < [tex]\frac{\pi }{4}[/tex]

⇒sin (x) and cos(x) are positive and sin(x) < cos(x)

The figure is as follows :

Now

By seeing point B , we can say that

sin ([tex]\pi[/tex] - x) = sin (x) = a

By seeing point C , we can say that

cos([tex]\pi[/tex] + x) = -cos (x) = b

By seeing point C , we can say that

sin( x - [tex]\pi[/tex]) = -sin(x) = c

By seeing point D , we can say that

cos(2[tex]\pi[/tex] - x) = cos(x) = d

As sin(x) < cos(x) ⇒ a < d

   -sin(x) > -cos(x) ⇒ c > b ⇒ b< c

and as we know that -sin(x) < sin(x) ⇒ c < a

∴ we get

b < c < a < d

write and equation for the trend line shown

Answers

Answer:

y = [tex]-\frac{10}{3}[/tex]x + 70

or

y = 70 [tex]-\frac{10}{3}x[/tex]

(They're both the same equation, whichever one you prefer you can use!)

Answer the Equation:
I'm just too lazy to do it

8-7x-14=

Answers

Answer:

-7x - 6 i think

Step-by-step explanation:

-7x

8-14=6

Answer:

-196

lol your not the only lazy 1

Step-by-step explanation:

yes or no? please help!!

Answers

Answer:

No it is not

Step-by-step explanation:

One cannot have two outputs

Please mark me brainlest!!

Adding up inches in a perimeter

Answers

Answer:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width).

Step-by-step explanation:

Which of the following is equivalent to 8?
3 to the power of 2
2 to the power of 4
2 to the power of 3
4 to the power of 2

Answers

I know this was already answered but I worked them out for you just in case.

What is the area or the figure below? THE FIRST TO ANSWER GETS MARKED AS BRAINLIEST

Answers

Answer:

168 in.²

Step-by-step explanation:

it is the correct answer

i don’t understand.
online school is hard

Answers

It’s hard my dude but don’t give up

A pilot is traveling at a height of 30,000 feet above level ground. She looks down at
an angle of depression of 6° and spots the runway. As measured along the ground, how
many miles away is she from the runway? Round to the nearest tenth of a mile.

Answers

Answer:

540.6 mi

Step-by-step explanation:

The angle of depression = angle of elevation = 6°

Let x = the distance to the runway.

tan 6 = 30000/x

xtan 6 = 30000

x = 30000/tan 6 =285430.9 ft

285430.9336.../5280 = 540.6 mi

A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression then she is 540.6 miles away from the runway.

What is meant by angle of depression?

A depression angle is formed when the viewer is higher than the object they are looking at. When a viewer looks at an object at a closer distance than themselves, an angle is formed under the horizontal line drawn at the viewer's eye level and the line connecting the object to the viewer's eye.

Elevation angle is the angle formed when a person stands on the ground and looks at an object above the ground at a height above the person's height. This is the basic difference between the two angles. Both angles are calculated using trigonometry concepts.

The angle of depression is defined as the angle formed by the horizon and the line connecting the object to the viewer's eye. This angle depends on two factors: altitude and distance.

Given: A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression.

The angle of depression = angle of elevation = 6°

Let x be the distance to the runway.

tan 6 = 30000/x

simplifying the above equation, we get

x tan 6 = 30000

x = 30000/tan 6 = 285430.9 ft

285430.9336/5280 = 540.6 mi

She is 540.6 mi away from the runway.

To learn more about angle of depression, refer to:

brainly.com/question/27865363

#SPJ2

3x^2+4x-4
X-Factor Method

Answers

Answer:

[tex](3x - 2)(x + 2)[/tex]

Rewrite the expression using the distributive
property. Do not add any extra spaces.
9y2-3y

Answers

Answer:

3y (3y -1)

Step-by-step explanation:

IM EAT SOMETHING
Try to guess what im eating (you have 3 tries)
sour but a little sweet
DARK red
LOTS of seed
wish you luck

Answers

Answer:

Raspberry?

Step-by-step explanation:

Did I get it???

Hope you have a great day! :)

I think the answer is a pomegranate...

Input. Output
2. 10
4. 18
6. 22

Answers

What’s the question?

Answer:

incomplete question

Step-by-step explanation:

Jeremy wants to read 100 more books by the end of the school year. There are 36 weeks of school. How many books does Jeremy need to read each week?

Answers

Answer: 2.777777778 or 2.7 or rounded to 3.0

Step-by-step explanation: 100 • 36 = 2.7 or 3.0

Answer:

I am not 100 % but I think it is 2 books a week

Step-by-step explanation:

100/36

Brainlest??

Hakeem shot the basketball 28 times and made 17 baskets. What percent of his shots were baskets? step by step

Answers

Answer:

60

Step-by-step explanation:

Answer:

17 divided by 28 = .6071  which equals 60.7% or rounded to 61%

Step-by-step explanation:

long division

algebra work please help

Answers

Answer:

0.94

because 5 《 x 《 10

=> the average rate of change of the function is

[tex] \frac{0.2(1.4) {}^{10} - 0.2(1.4) {}^{5} }{10 - 5} = 0.94[/tex]

f(x) = 3x – 10
g(x) = x2 + 4x + 5
Find: g(f(x))

Answers

Answer:

g(f(x))=g(3x – 10)=(3x – 10)² + 4(3x – 10)+ 5=9x²-60x+100+12x-40+5=9x²-48x+55

hey can someone please confirm my answer? i got D but it was a guess because i’m not confident in my graphing skills yet

Answers

Correct answer would be c, since the question is only asking for the solution and not the x valued (plotted left and right) it would be where both segments meet

Answer:

the answer is d

Step-by-step explanation:

helppppppppppppppppp​

Answers

The answer would be 125
The answer will be 125 I think hope this is right

1/6 - 3/9 - 3/8 ayúdenme plis​

Answers

Answer:

-39/72 ó -13/24

Step-by-step explanation:

las fracciones convertidas son 12/72 - 24/72 - 27/72

Consider the polynomial 9x2 – 16.

What is the value of ac?



What is the value of b?



What two numbers multiply to get ac and add to get b?



The factored form of 9x2 – 16 is

Answers

Step-by-step explanation:

The value of ac together is 16(9x^2) or 144x^2

The value of B is zero since there is no B

(b is x, ( note not x^2, but only 1x)

Answer:

What is the value of ac? -144

What is the value of b? 0

What two numbers multiply to get ac and add to get b? -12 and 12

The factored form of 9x² - 16 is (3x-4)(3x+4)

Step-by-step explanation:

Dude trust me

Find the radius of the circle whose equation is x² + y² = 4.
4
2
16

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

What is the answer plz help

Answers

The answer is 339.12. You have to do 3.14 times the radius squared. The radius is 6 and 6 squares is 36 then h/3 also 9/3 so 3.14*36*3

an Italian restaurant buys 15 pounds of onions every 2 weeks. how many bags of onions will the restaurant buy in 7 weeks?

Answers

Answer:

45

Step-by-step explanation:

This is a trick question. Since they only get three purchases in by 7 weeks, the answer will be 15 times 3 or 45.

(If I'm wrong and it's not a trick question, then it's 15 times 3.5 or 52.5)

Hope this helps!

please help my mom is about to ground me

Answers

Answer:

d

Step-by-step explanation:

180-90-40=50

D: 50

How to:
Add 40+90
Subtract from 180

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold twice as sundaes than banana splits and made $154. Write a system of linear equations to help solve for how many of each type are in your uncle's collection. Define Variables: Lets the number of sundaes sold Let B - the number of banana splits sold​

Answers

Answer:

i dont want  to put the whole example cz like ur school might catch u so u gonna have to do the explainin part srry:( but the answear is 156$

Step-by-step explanation:

if it takes Anderson 4 minutes to swim 8 laps how many laps per minute is that?​

Answers

Two laps per minute

Answer:

2 laps per minute

Step-by-step explanation:

4/4= 1(minute)

8/4= 2(laps)

Therefore, it is 2 laps per minute

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