A charity organization is collecting change to raise money. They have collected three times as many dimes as quarters, 11 more nickels than dimes, and 2 times as many pennies as nickels. Let x represent the number of quarters. Write an expression to represent the number of dimes. Write an expression to represent the number of nickels. Write an expression to represent the number of pennies. If they have collected a total of 4,453 coins, how many of each coin have they collected? Show your work.

Answers

Answer 1

Answer:

x = no. of quarters

3x = no. of dimes

3x + 11 = no. of nickels

2(3x + 11) = no. of pennies

340 quarters

1020 dimes

1031 nickels

2062 pennies

Step-by-step explanation:

x = no. of quarters

3x = no. of dimes

3x + 11 = no. of nickels

2(3x + 11) = no. of pennies

x + 3x + 3x + 11 + 2(3x + 11) = 4453

x + 3x + 3x + 11 + 6x + 22 = 4453

13x + 33 = 4453

13x = 4420

x = 340 quarters

3x = 1020 dimes

3x + 11 = 1031 nickels

2(3x + 11) = 2062 pennies

Check:  340 + 1020 + 1031 + 2062  = 4453


Related Questions

A line passes through (-3, 6) and has a slope of -5.
What is an equation of the line?

Answers

Answer:

y=-5x-9

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-5(x-(-3))

y-6=-5(x+3)

y=-5x-15+6

y=-5x-9

2x + 2x - 4y - y = 4x + ( ? )

Answers

2x + 2x - 4y - y

= 4x - 5y


( ? ) = -5y

Answer:

-5y

Step-by-step explanation:

combine them -4y +(-1y)

If x · y = z, which of the following statements is true?

zy=x


z - y = x

z - x = y

xz=y

Answers

Answer:

b

Step-by-step explanation:

which ratio is greater 16:13 or 9:7?

Answers

9:7 becuz when u divide it it will be greater


Find the midpoint of the line segment with the given endpoints (10,-10), (-4,7)

Answers

Y midpoint =-1.5
X midpoint = 3

please helpppppppppppppppppppppppppppppppppppppppp



Convert the following fractions into percent and decimals.


1/4, 1/25 , 1/6 , 1/3

Answers

Answer:

1/4 is 0.25

1/25 is .04

1/6 is 0.16

1/3 is 0.3

Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.
Round your answer to the nearest tenth if necessary.
K
19
J
с
58
N
42
M M
H Н
L

Answers

Answer:

128.2

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:

[tex]\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2[/tex]

what did you put for #3?

Answers

Answer:

huh

Step-by-step explanation:

simplify
(3 − 6n5 − 8n4) − (−6n4 − 3n − 8n5)

Answers

Answer:

Simplify the expression.

2n⁵−2n⁴+3n+3

−3/5×8/6= please what is this?

Answers

The answer to this problem is -4/5

WILL GIVE BRAINLIEST!! DUE IN A FEW MIN. PLEASE ANSWER CORRECTLY
Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation
y = 3.5x + 4; A(...; 5), B(10; ...)

Answers

Answer:

y=3.5x+4; A(_,5) B(10,_)

Step-by-step explanation:

.Find point A: Substitute y value given, solve for x:

.

5=3.5x+4

1=3.5x

1/3.5=x

0.2857=x

.

Point A=(0.2857,5)

.

Find point B: Substitute x value given, solve for y:

.

y=3.5(10)+4

y=35+4

y=39

.

Point B=(10,39)

 

.

Slope:

In slope intercept form y=mx+b, m=slope

.

Slope=m=3.5

.

The others are done the same way.

Ms. Metcalf wants to share $1 equally among 5 students. How much money will each student get?

Answers

Answer:

Step-by-step explanation:

20

Find the value of x.

Answers

Answer:

x=68

Step-by-step explanation:

A²+b²=C²

side a:60²=3600

side b:32²=1024

3600+1024=4624

side c=√4624=68

the nth term of a sequence is 3n2-1
the nth term of a different sequence is 30-n2
find the only number in both sequences

Answers

Answer: The common number is 26.

Step-by-step explanation:

We know that the n-th term of a sequence is:

aₙ = 3*n^2 - 1

And the n-th term of another sequence is:

bₙ = 30 - n^2

Remember that in a sequence n is always an integer number.

We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:

aₙ = bₓ

This is:

3*n^2 - 1 = 30 - x^2

Let's isolate one of the variables, i will isolate n.

3*n^2 = 30 - x^2 + 1 = 31 - x^2

n^2 = (31 - x^2)/3

n = √( (31 - x^2)/3)

Now we can try with different integer values of x, and see if n is also an integer.

if x = 1

n = √( (31 - 1^2)/3) = √10

We know that √10 is not an integer, so we need to try with another value of x.

if x = 2:

n = √( (31 - x^2)/3) = √(27/3) = √9 = 3

Then if we have x= 2, n is also an integer, n = 3.

Then we have:

a₃ = b₂

The common number between both sequences is:

a₃ = 3*(3)^2 - 1 = 26

b₂ = 30 - 2^2 = 26

State the restrictions: 12x2+31x + 9 3x2-5x-2​

Answers

Answer:

=39x2+26x−2 Your Welcome !!!

There are no restrictions on the domain here. Don’t know if this is what you are asking...feel free to reach out if it’s not!

Find the volume of a triangular prism that has a triangular base of 4 and height of 3 with a prism height of 11.
note: it is NOT 12 i tried and it was wrong

Answers

Answer:

66

Step-by-step explanation:

This was the formula that I used V=14h √(a+b+c)(b+c−a)(c+a−b)(a+b−c)

Hope this helps! :)

A book costs b dollars and a magazine costs m dollars.

Write an expression for the total cost, in dollars, of 5 books and 3 magazines.

Answers

Answer:

C = 5b + 3m

Step-by-step explanation:

Answer:

5b + 3m

Step-by-step explanation:

If b represents the cost of a book, then 5b will represent the cost of 5 books

If m represents the cost of a magazine, then 3m will represent the cost of 3 magazines.

To create an expression for the total cost, add these terms together:

5b + 3m

So, the expression for the total cost is 5b + 3m

help!!!!!!!!!.!.!.!.!.

Answers

Answer:

24

Step-by-step explanation:

Options are increase/decrease

Answers

I think it’s increase of 4%

Write an equation with a slope of −4.4and a y-intercept of 6.8
A. =−4.4−6.8
B. =4.4+6.8
C. =6.8−4.4
D. =−4.4+6.8

Answers

Answer:

The answer is

[tex]y = - 4.4x + 6.8[/tex]

If
(
m
2

1
)
2

9
is expressed as
(
m
2
+
2
)
(
n
+
p
)
(
n

p
)
, what are the values of
n
and
p
?

Answers

Answer:

you need to repost your question bcos it's not understandable

Is
Y=2x+7
Y-2x=7
One solultion,many solution or no solution?

Answers

Answer:

one solution! because the second one is the exact same solution once you simplify! :)

44 students completed some homework and the histogram shows the times taken.
work out an estimate of the interquartile range.
in your work you must show the lower and upper quartiles

Answers

Answer:

1.4×5=7

0.8×10=8

1.4×10=14

1×15=15

15+14+8+7=44

44÷4=11

LQ of 44=11

LQ=10 minutes

11×3=33

UQ= 29 minutes

the Range is 19 minutes

Step-by-step explanation:

Can anyone explain polynomials in a way that makes sense lol?

Answers

Answer:

Answer:

well here's the def. maybe this can help you sum up answer  

*polynomial

[ pol-uh-noh-mee-uhl ]SHOW IPA

adjective

consisting of or characterized by two or more names or terms.

noun

Algebra.

(in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.

a similar expression in more than one variable, as 4x2y3 − 3xy + 5x + 7.

Now Rare.Also called multinomial. any expression consisting of the sum of two or more terms, as 4x3 + cos x.

a polynomial name or term.

Biology. a species name containing more than two terms.

:

Which histograms are approximately symmetric and bell shaped?

Answers

Answer:

B and E

Step-by-step explanation:

im pretty sure what you have is correct

The correct histograms that are approximately symmetric and bell-shaped are - histograms B, C, and E because they are symmetric and bell-shaped.

A histogram is a convenient form or graphical representation of the frequency distribution of numerical data by means of rectangles. These histograms are found in different shapes and symmetries.

Bell-shaped curve:

if a histogram resembles or looks like a “bell” by joining the interval of rectangles in a curve and has one single peak in the middle of the distribution.In the given histograms only histogram shows a bell-like curve when joining the middle point of rectangles of distribution and also present in symmetry.in the image attach approximate curves are form you can see if it is bell shape and symmetric.

Thus, the correct answer is - Histograms B, C, and E.

Learn more about bell-shaped histogram:

https://brainly.com/question/14601046

Please help, I’m bad at math.

Answers

Answer:

26

Step-by-step explanation:

Tan is opposite/adjacent

The side opposite to the angle 56 is 26.

If it asks for the bottom one, it is x.

Tom has a total of 15 stamps. some are worth 10 cents and some are worth 20. The value of the stamp is 2.40. how many of each stamp does he have?
A. what are you trying to find?
B. what system of equations that models this scenario?

Answers

Answer:

a) how many stamps are worth $0.10 and how many are worth $0.20

b) x + y = 15

   .10x + .20y = 2.40

Step-by-step explanation:

PLEASE HURRY & HELP ME NOW. IN A RUSH

Answers

Answer:

D

Step-by-step explanation:

the answer to your question is D

I need help I don't understand

Answers

Answer:

x = 142

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = 90+52

x = 142

200/160 as a percentage (200 over 160)

Answers

Answer:

80%

Step-by-step explanation:

Please brainlist me

Answer:

80%

Step-by-step explanation:

160 ÷ 200 =  0.8

0.8 x 100 = 80

add percentage sign 80%

Hope that helps

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