Sam runs a lemonade stand. One day he collected $6.55 in nickels and dimes. The number of nickels was 6 more than half the number of dimes. Find out how many dimes Sam collected.

Answers

Answer 1

Answer:

Total number of dimes collected = 50

Step-by-step explanation:

Let the number of dimes collected = d

And the number of nickels collected = n

On day collection in nickels and dimes = $6.55

Since, 1 nickel = $0.05

Therefore, 'n' nickels = 0.05n

And 1 dimes = $0.10

Value of 'd' dimes = $0.10d

Total value of 'n' nickels and 'd' dimes = $(0.05n + 0.10d)

So the equation for the total value will be,

0.05n + 0.10d = 6.55

5n + 10d = 655 --------(1)

Number of nickels was 6 more than half the number of dimes.

n = [tex]\frac{d}{2}[/tex] + 6 ------(2)

By substituting the value 'n' from equation (2) to equation (1)

5([tex]\frac{d}{2}[/tex] + 6) + 10d = 655

[tex]\frac{5d}{2}[/tex] + 30 + 10d = 655

[tex]\frac{25d}{2}[/tex] = 655 - 30

25d = 625 × 2

d = [tex]\frac{1250}{25}[/tex]

d = 50

Therefore, total number of dimes collected = 50


Related Questions

Select the best possible first step to solving the system by first eliminating the x variable.

3x + 5y = 1
2x + 4y = −4

Answers

2x + 4y = -4

2x = -4 - 4y

x = -2-2y

(3x+5y=1) ----> (1)

3(-2-2y) + 5y = 1

-6 -6y + 5y = 1

-6 -y = 1

-y = 1 + 6

-y = 7

y = -7


2x + 4y = -4

2x + 4(-7) = -4

2x -28 = -4

2x = 24

x = 12

(x,y) = (12,-7)

Bryans gocket team is purchasing jersys. The company charges $250 for the onetime set-up fee and $23 for each printed jersey which expression repressents the total cost of x number for the team

Answers

Given:

The company charges $250 for the onetime set-up fee and $23 for each printed jersey.

To find:

The expression that represents the total cost of x number for the team.

Solution:

We have,

Fixed charges = $250

Additional charges = $23 per printed jersey

Let x be the number of printed jersey. Then,

Additional charges = $23x

Total chargers = Fixed charges + Additional charges

                        = $(250 + 23x)

Therefore, the expression for the total charges is $(250 + 23x).

PLEASE HELP ! (no fake answers please !)

Answers

Answer:

24.2 units²

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] a( b + c)

Substitute the given values for a, b and c , that is

A = [tex]\frac{1}{2}[/tex] × 4.4 × (8 + 3)

   = 2.2 × 11

   = 24.2

Jane bought 1.25 pounds of turkey. One pound of turkey costs $5.20. Before tax, how much did Jane pay for the turkey?

Answers

Answer:

5.408

Step-by-step explanation:

1=5.20

0.25=408

(s+4)+(s+4)

can

someone

answer

this-

Answers

Let's simplify step-by-step.

s+4+s+4

Combine Like Terms:

=s+4+s+4

=(s+s)+(4+4)

=2s+8

Answer:

=2s+8

Factor s+4+s+4

2s+8

=2(s+4)

Answer:

2(s+4)

Answer:

2s+8

Step-by-step explanation:

(s+4)+(s+4)=s+s+4+4=2s+8

Drew is 3 years older than his brother, Jimmy. The sum of the​

brothers’ ages is 21.​

Answers

Answer:

jimmy is 18

Step-by-step explanation:

3+18=21 Hope this helps!

Answer:

Drew is 12 and Jimmy is 9

Step-by-step explanation:

12+9=21

;-;

(-3,10) and (-3,6) find the slope pleassseeee !!!

Answers

Answer:

the slope is undeifined

hope this helps :)

Answer:

undefined

Step-by-step explanation:

the formula for the slope of a line is m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

m = (6-10)/(-3+3) = -4/0 = undefined, you cannot divide by zero.

Maia has a total debt of $25. She is trying to pay back $2 each week for the next 8 weeks. If Maia is successful, which amount will represent the change in the amount of her debt?

+$16
-$16
+$10
-$10

can someone please help? i've been asking questions and nobody's been helping :(

Answers

Answer to your question is -$16

Answer:

-16

Step-by-step explanation:

2(8)=16, 25+(-16)=current debt after 8 weeks

So far you have completed 816 miles which is 52% of the trail. Can you find about how many miles for the total trip?

Answers

Answer:

1,569.23 miles is the total trip

Step-by-step explanation:

816 x 100 = 81,600

81,600 / 52

1,569.23

someone plz help me on this question plz

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

you have to times 22 times 3 to get the sq. units

a polygon has n sides. Two of its sides are right angle while the remaining each side is 144.find n​

Answers

Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)

Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:

S=90
0
+90
0
+(n−2)144
0
.........(2)

Therefore setting (2) equal to (1) we get

(n−2)180
0
=90
0
+90
0
+(n−2)144
0

⇒(n−2)180
0
−(n−2)144
0
=180
0

⇒(n−2)(180
0
−144
0
)=180
0

⇒(n−2)(36
0
)=180
0

⇒n−2=
36
180


⇒n−2=5
⇒n=5+2=7

Hence, the polygon has 7 sides.

- 11 2/3 x (-4 1/5)=?

Answers

if you use photomath and show your question its easier but i got 49

(4² + 52) * 33 =
43 × 6² = 2² -
93 + 72 =
52 x (83 – 32) =
pls help I need answers for all

Answers

Answer:

1st one: 2244

2nd one: x= -17/158

3rd one: 2652x

Step-by-step explanation:

hope this helps btw (s y m b o l a b) is a free math calculator that gives step-by-step answers i hope this helps :) have a nice day !!

Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira's expenses are half of Hideo's. Akira ends up saving 40% of his income. What percentage of his income does Hideo save?

Answers

Answer:

25%

Step-by-step explanation:

Let x represent Akira income and let y represent Hideo income.

Since Akira earns five-eighths of what Hideo earns, therefore Akira income is given by:

x = (5/8)y

Let a represent Akira expenses and let y represent Hideo expenses. Since Akira expenses is half of Hideo, hence:

a = (1/2)b; b = 2a

Given that Akira savings is 40% of his income, we have:

savings = income - expenses

40% of x = x - a

a = x - 0.4x

a = 0.6x

For Hideo:

Income = y, expenses = b = 2a

Savings = income - expenses

Savings = y - 2a

Savings = y - 2(0.6x) = y - 1.2x

Savings = y - 1.2(5/8)y

saving = y - 6y/8

savings = 2y/8 = 0.25y

Therefore Hideo saves 25% of his income

PLEASE HELP ASAP LIKE PLEASE

Answers

Answer:

40

Step-by-step explanation:

60-20=40

Bern has 60. Delhi has 20. Subtracting those =40

Solving inequalities.

1. 2x + 3 < 9

2. 4x - 5 > 43

Answers

Answer:

1.   x< 3

2.   x>12

have a great day :)

Step-by-step explanation:

PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!! (Solving Equations with Distributive Property)


1) -1/2(12p-42) = -33

2) -3 + 2/3(6n-42) = -51

Answers

1.

-1/2*12p = -6p

-1/3* -42= 21

-6p+21=-33

-21. -21

-6p=-54

p= 9

(plug 9 in)

2. n= -5

Kurt says factors and multiples are related. Use the equation 8×5 = 40 to describe the relationship between factors and multiples.

Answers

Answer:

Before heading towards the solution, you need to make sure how multiple and factors are related to each other.

The multiple of a number could be obtained by multiply it with another number.

For example, the first five multiples of 12 are 12, 24, 36, 48 and 60

1 X 12 = 12

2 X 12 = 24

3 X 12 = 36

4 X 12 = 48

5 X 12 = 60

Factors are the numbers that are multiplied to get a given number.

For example,

1 X 12 = 12

2 X 12 = 24

3 X 12 = 36

The factors of 12 are 1, 2, 3, 4, 6 and 12.

As division and multiplication can be used to find factors and multiples.

For example a whole number is a multiple of its factors.

Let w = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} be the set of even wholes numbers from 2 to 20.

As 2 is a factor of 20 because 20 ÷ 2 = 4

20 is a multiple of 2 because 2 X 10 = 20

So, in the same way, the equation 8 X 5 = 40 can be used to determine how factors and multiples are related.

Let the equation be

                                   8 X 5 = 40

8 is a factor of 40 because 8 X 5 = 40

40 is a multiple of 8 because 40 ÷ 5 = 8

So, this is how factors and multiples are related to each other.

a collector purchased a rare book for $97.56 and then sold the book in an online auction for $141.82. The auction charged the collector $8.25 in fees for the use of its service. how much did the collector earn by selling the book

Answers

Answer:

$36.01

Step-by-step explanation:

141.82 - 8.25 = 133.57

133.57-97.56=36.01

The collector earned a total of $36.01 by selling the book.

What is the Subtraction operation?

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

The collector earned $141.82 - $97.56 = $44.26 by selling the book.

To find the total amount the collector earned, we need to subtract the price they paid for the book from the price they sold it for. This gives us the profit that the collector made on the sale of the book.

However, we also need to subtract the auction fees that the collector had to pay.

The collector paid $8.25 in fees, so their total earnings from the sale of the book were :

⇒ $44.26 - $8.25

Apply the subtraction operation, and we get

⇒ $36.01.

Therefore, the collector made a total of $36.01.

Learn more about Subtraction operations here:

brainly.com/question/25834626

#SPJ1

Will you help me plz?

Answers

Answer:

1. ⅔x

2. 3/2x

3. 3/2x

4. -7/5x

5. 1x

6. no slope

7. ½

8. -1x

9. 8/3x

10. -1x

11. -½x

12. 9x

13. -1x

14. -¼

You want to put a circular fence around the pool in youre backyard. The radius of the pool is 9 feet. How much fence would you need​

Answers

Answer:

Step-by-step explanation:

[tex]C=2\pi r\\ \\ C=2(9)\pi\\ \\ C=18\pi ft\\ \\ C\approx 56.55ft[/tex]

ANYONE HELP? ALGEBRA 1 :”””(

Answers

Answer:

Y=-3/2x+2

Step-by-step explanation:

Answer:

y=-1.5x+2

Step-by-step explanation:

Please simplify this
-3(2+6x) +7x

Answers

Answer:

x = -17

Step-by-step explanation:

To simplify, we need to solve within the parentheses first:

-3(2 + 6x) + 7x

(-6 - 18x) + 7x

Next, we combine like terms:

-6 - 18x + 7x

-6 - 11x

Next, we isolate the variable "x":

-6 - 11x

/x

-6 - 11 = x

Combine like terms:

x = -17

Hope this helps :)

Answer:−

11x-6

Step-by-step explanation:

Rearrange terms

-3(2+6x)+7x

-3(6x+2)+7x

DIStribut

-3(6x+2)+7x

-18-6+7x

Combine like terms

-18-6+7x

-11x-6

Find the area of each. Use your calculator's value of p. Round your answer to the nearest tenth.

answer both question please

i will mark u as brainiest

full answer

label it please.

Answers

Answer:

22/7*11*11=38.285

this must be ans

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°

Answers

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

X=5 Y=-5 is the answer I think?

What is 62% written as a decimal?

Answers

Answer:

62% = 0.62 in decimal form. Percent means 'per 100'. So, 62% means 62 per 100 or simply 62/100. If you divide 62 by 100, you'll get 0.62 (a decimal number).

The decimal of 62% is 0.62

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

We have to change 62% in decimal.

As, 62%

= 62/100

And, the number of zeroes in denominator decimals where to put the decimal.

so, 62/100

= 0.62

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ5

Someone plz help me with this 2 questions I will give brainliest
(Look at the pictures)

Answers

Answer:

61 ounces

Step-by-step explanation:

1 pound = 16 ounces

8 pound 3 ounces = 8*16 + 3 = 128 +3 = 131 ounces

No Jesse's weight = 12 pounds = 12*16 = 192 ounces

Weight gained = 192 - 131 =  61 ounces

write an equation of the line in slope-intercept form slope 1 and y intercept -8

Answers

I got 41

Step-by-step explanation:

Symbolab is helpful

Understanding Transversals
Use the diagram to complete the statements
Angles 1 and 5 are supplementary because they
are
angles
3
2
Angles 4 and 6 are
are
because they
4
S
angles
7
6
8

Answers

Answer:

8

Step-by-step explanation:

7 and 8 are the angles so we need to find the decimal in the problem

3x+y=15
3x-y=15 (using elimination method)

Answers

Answer:

x = 5

y = 0

Step-by-step explanation:

3x + y = 15

3x -y = 15

Add the two equations;

6x = 30

Inverse operations;

6x = 30

/6        /6

x = 5

Back substitute;

3(5) + y = 15

15 + y = 15

y = 0

Answer:

Step-by-step explanation:

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