In a piggy bank on his dresser, Tom has a total of $2.85 in pennies and quarters. If
the number of pennies is 5 more than three times the number of quarters, how
many pennies and quarters does he have in his piggy bank?

Answers

Answer 1
Set the number of Pennies as X and the number of quarters as Y.

3Y+5=X
0.01X+0.25Y=2.85

X=35 Y=10

35 Pennies and 10 Quarters
Answer 2

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total cost in piggy bank with pennies and quarters = $2.85

And, The number of pennies is 5 more than three times the number of quarters.

Let Number of quarters = x

And, Number of pennies = y

                                       = 5 + 3x

Since, Total cost in piggy bank with pennies and quarters = $2.85

So, we can formulate;

0.25x + 0.01y = $2.85

Substitute the value of y as;

0.25x + 0.01(5 + 3x) = 2.85

0.25x + 0.05 + 0.03x = 2.85

0.28x + 0.05 = 2.85

x = 10

And, y = 5 + 3x = 5 + 3 × 10 = 35

Thus,

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

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Related Questions

54 divided by what equals 9?​

Answers

Answer:

6

Step-by-step explanation:

After divide, the solution of the expression is,

⇒ 54 ÷ 9 = 6

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 54 ÷ 9

Now, We can divide as;

⇒ 54 ÷ 9

 

9 ) 54 ( 6

   - 54

     ------

       00

Thus, After divide, the solution of the expression is,

⇒ 54 ÷ 9 = 6

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help me pls in mathmatics

Answers

Answer:

-20

Step-by-step explanation:

Lets substitute to solve:

[tex]\frac{mn}{p} +(-n)[/tex]

[tex]\frac{2(12)}{-3} +(-12)[/tex]

[tex]\frac{24}{-3} +(-12)[/tex]

[tex]-8} +(-12)[/tex]

[tex]-20[/tex]

Answer:

yeah i agree it may be 20

Step-by-step explanation:

find the greatest common factor of the numbers 20,45

Answers

Answer:

5

Step-by-step explanation:

list the factors and the greatest is the answer

A bag contains 12 red, 15 green, 10 yellow, 25 purple, and 2 black blocks what is the theoretical probability of you pulling out a green block

Answers

Answer:

Step-by-step explanation:

12 red,9 green,8 blue,5 yellow

Total balls=34

i) probability of green ball=9/34

ii)probability of yellow ball=5/34

iii)probability of white ball=0/34=0

Answer:  1/5

Step-by-step explanation:

Add up the total number of jellybeans, 20 + 45 + 30 + 5 = 100.

Divide the number of watermelon jellybeans by the total: 20/100 and reduce the fraction to 1/5.

Prove sum of interior angle triangle is 180​

Answers

Given :-

A triangle ABC .

To prove :-

Sum of interior angles of a ∆ is 180° .

Construction :-

Draw a line MCN parallel to AB . Extend line AB to K .

Proof :-

In ∆ ABC , we have ,

[tex]\angle[/tex] BAC + [tex]\angle[/tex] BCA = [tex]\angle[/tex] CBK

As sum of two interior angles of a triangle is equal to the opposite exterior angle .

Also ,

[tex]\angle[/tex] ABC + [tex]\angle[/tex] CBK = 180°

( linear pair )

Hence from above two ,

[tex]\angle[/tex]ABC + [tex]\angle[/tex] BAC + [tex]\angle[/tex] ACB = 180°

Hence Proved !

if i= V-1, what is the value of i10 ?

Answers

Answer:

-1

Step-by-step explanation:

Can anyone help me with this one

Answers

The inequality is 10j is less than or equal to 130

10j ≤ 130

Find the median

2 , 3 , 10 , − 2 , − 3 , 12 , 13 , 1

Answers

Answer:

2.5

Step-by-step explanation:

There are eight numbers, and the two middle numbers are 2, and 3. When there's an even amount of numbers, we calculate the average of the two middle numbers.

jebal answer now guys​

Answers

The answer is:
Letter C

show work please I need help with both questions 3 and 5 thanks

Answers

Answer:

B) {8.71}

Step-by-step explanation:

3. l.c.m=28

28×3/7=28×b-7/4

4×3=7(b-7)

12=7b-49

12+49=7b

61=7b

61/7=7b/7

8.71=b

b=8.71.

Please answer this math problem... I will mark you brainliest

Answers

Answer:

18x + 6 = 6(3x + 1)

2x + 4= 2(x + 2)

Explanation:

For 2x +4:

group the common factor

2x + 4

and you'll get 2(x + 2)

For 18x + 6:

You'll do the same thing

18x + 6

and you'll get

6(3x + 1)

A student said that the relation{(-2,3),(4,4),(4,5),(5, -8)} is a function. Do you agree? Why or why not?

Answers

Answer:

Step-by-step explanation:

Disagree.  (4, 4) and (4, 5) show that for a single input, 4, there are two distinct outputs (4 and 5).  In a function no more than 1 output can be associated with a given input.

The given relation is not a function.

Help plssssssssssss

Answers

Answer:

A) 4

B) 6

C) 3

Step-by-step explanation:

Answer:

A equals 4, B equals 6, and C equals 3

# no spams
ans should be well explained ​

Answers

Answer:

1.3cm

Step-by-step explanation:

7*7=49

4.9-3.5=1.3cm

1.3cm of cloth is left out

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Area of cloth left out :

[tex]\boxed{ \boxed{10.54 \: \: cm {}^{2} }}[/tex]

Solution is in attachment !

Help me with this 37 to 40

Answers

The output is always the range (or y value) so for 37 it’s -5
37. -5, find 2 on the x axis and find then the line hits
38. -5,-3 1/2, -2, find 3 on the y axis and find every time a point hits that
39. increasing [-4,-3) [2,infinity) decreasing [-6,-4) [-3,2)
40. none, it’s always increasing or decreasing

Cross products: what number is missing?

Can someone PLEASE tell me the answer to this

Answers

Answer:

its 6.

Step-by-step explanation:

you could simplify it or cross multiply

It’s 6 for a I think maybe

Which function represents the dotted graph

Answers

Answer:

y=f(x-2)-1

Step-by-step explanation:

-x is left and -y cordnate is down 1 is the y

The marks scored by a group of students in English examination are as follows: 30,32, 33, 31, 32, 33, 34, 35, 33, 34 . Find the mode of their marks.

Answers

Answer:

Answer is 32

Step-by-step explanation:

Mode = no of stu +1/2

Mode =12+1/2

Mode =13/28=6.5

Mode =6th mark +7th mark /2

Mode=32+32/2

Mode=64/2

Mode=32

Hope it helps

Peace

Please mark me as brainliest

Someone help plz make sure it’s right will mark brainiest:)

Answers

I believe the last option is the correct answer.

Answer:

y = 8x - 3

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. Since we're already given the slope, 8, our equation looks like this so far: y = 8x + b.

3. We can use the formula [tex]b = y_1 - m * x_1[/tex] to find the y-intercept.

[tex]b = (5) - (8) * (1)[/tex] [tex]b = 5 - 8[/tex] [tex]b = -3[/tex]

4. Since b = -3, our equation now looks like this: y = 8x - 3.

Therefore, the correct answer is y = 8x - 3.

determine whether each equation defines y as a function of x.
2x + y2 = 6

Answers

Answer:

NOT a function

Step-by-step explanation:

y^2 (not y2) is "the square of y"

The given 2x + y^2 = 6 can be solved for y as follows:

Subtracting 2x from both sides, we get     y^2 = 6 - 2x, whose y-values are y = ±√(6 - 2x).  Because there are two y-values associated with each x value, this is NOT a function.  In a function there is only one y value for each x value.

Select three ratios that are equivalent to 5:2

Answers

Answer: Check whether the given ratios are equal? The given ratios 3: 5 and 15: 25 are equal. Because when you divide the ratio 15: 25 by 5 on both numerator and denominator, the first ratio 3: 5 can be obtained. Similarly, when you multiply the first ratio 3: 5 by 5, the ratio 15: 25 can be obtained.

Step-by-step explanation:

Hope this helps!

What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?



The value of x can be
.



The value of y can be

Answers

Answer:

What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function? The value of x can be:

A.) Any real number

B.) Any real number except 5

C.) Any real number except 5 and -2

The value of y can be:

A.) Any real number

B.) Any real number except -2

C.) Any real number except 5 and -2

Answer:

1: b- any real number except 5

2: a- any real number

Step-by-step explanation:

Use a net to find the surface area of the prism. 7 cm 10 cm 5 cm

Answers

The surface eof the prism is 6254900

the area of a parallelogram is 12x² + 38x + 20 square inches. it's base is 3x + 2 inches. find its height.​

Answers

Answer:

4x+10

Step-by-step explanation:

3x *4x=12x²,so you can know the next

Answer:

h = 4x+10

Step-by-step explanation:

a = b(h)

h = a/b

Sub:

a = 12x^2 + 38x + 20

b = 3x + 2

12x^2 + 38x + 20 = 3x + 2 * h

Rewrite:

h = 12x^2 + 38x + 20 / 3x + 2

Solve:

2(3x+2)(2x+5)  / 3x+2

2(2x+5) = 4x + 10

17. A person spends 20% of his income towards
food, 25% for education, 15% for miscellaneous
expenses, and saves 40%. The angle of sector rep-
resenting expenditure towards education in pie
diagram showing his income is

Answers

Answer:

90°

Step-by-step explanation:

This is the part of the circle to reflect the education pie.

25% of the circle is:

0.25*360° = 90°

2. Order the numbers from smallest to largest. *
Order the rational numbers listed below from smallest value to
largest value using the numbers 1, 2, 3, and 4.
Use the number 1 to represent the smallest value.
Use the number 4 to represent the largest value.
Order:
Rational
Number:
23
(0.7)
0.75
Your answer

Answers

Answer:

1. 0.7

2. 0.75

3. 23

Step-by-step explanation:

You didn't provide a fourth number.

500 + 120,035 - 40 times 200
FIRST ONE TO ANSWER IT CORRECTLY GETS BRAINLIEST!!!!!!!!!!!!!
NO LINKS PLEASE!!!!!!!!!!!!!

Answers

Answer:

24099000

Step-by-step explanation:

How you evaluate this?

Answers

It’s 3
9 squared = 3 since 3x3 = 9

What is the value of a/b?
(use the variables w weight and L-length and show me a possible equation:

Answers

Answer: (2.1/3)  [if I read the numbers correctly]

Step-by-step explanation:

Similar triangles have identical angles, desite having different sides.  But the sides remain in the same proportions.  I can't quite make out the exact numbers since the photo is too small, but it the lower tiangle has sides of 2.1 and 3, the second triangle will have the same two sides in the same proportion:  2.1/3.

Which expression is equivalent to
(4x^5 +11)^2?

O 16x^5 + 121
O 16x^10 + 121
O 16x^10 +88x^5 + 121
O 16x^25 +88x^5 + 121

Answers

Which expression is equivalent to (4x⁵ + 11)² ?

O 16x^5 + 121

O 16x^10 + 121

16x^10 +88x^5 + 121

O 16x^25 +88x^5 + 121

Step-by-step explanation:

Using formula :

(a + b)² = a² + 2ab + b²

so that…

(4x⁵ + 11)²

= (4x⁵)² + 2(4x⁵)(11) + 11²

= 16x¹⁰ + 88x⁵ + 121

[tex]16x^{10} +88x^{5} +121[/tex] expression is equivalent to [tex](4x^{5} +11)^{2}[/tex].

What is an expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Given expression

[tex](4x^{5} +11)^{2}[/tex]

It is in the form of [tex](a+b)^{2} =a^{2} + 2ab+b^{2}[/tex]

[tex](4x^{5} +11)^{2}[/tex] = [tex](4x^{5}) ^{2} +2\times 4x^{5}\times11+11^{2}[/tex]

= [tex]16x^{10} +88x^{5} +121[/tex]

[tex]16x^{10} +88x^{5} +121[/tex] expression is equivalent to [tex](4x^{5} +11)^{2}[/tex].

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