Nell has a piggy bank full of dimes and nickels. She empties the bank and counts the coins. She counts 30
coins in all, with a total value of $2.90. Nell says she has 14 dimes and 16 nickels.
(a) Write a system of linear equations to represent the number of coins that Nell had in her piggy bank
and the total value of the coins.
(b) Determine whether Nell could have counted the number of dimes and nickels correctly. Show all your
work to prove whether she counted the coins correctly.

Nell Has A Piggy Bank Full Of Dimes And Nickels. She Empties The Bank And Counts The Coins. She Counts

Answers

Answer 1

[a] A dime is worth 10 cents (0.10 dollars) and a nickel is worth 5 cents (0.05 dollars). If there are 30 coins in all, we can set up a linear equation in standard form to look like this:

    30 - n = d

Since the total is 2.9, we can do the following:

    { 30 - n = d

    { .05n + .10d = 2.90

And our system is in bold

(where n is nickels and d is dimes, you could also use x and y if you wish)

[b] She could have counted the number of dimes and nickles correctly, but she did not. The number of nickles is 2 with there being 28 dimes.

Now, we will solve:

.05n + .10(30 - n) = 2.90

.05n + 3 - .1n = 2.9

3 - .05n = 2.9

3 = .05n + 2.90

.05n = 0.1

n = 2

(dimes is 30 - 2 = 28)

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather


Related Questions

Find the range of the graphed function.
- 10
10
-10
O A. yis all real numbers.
B. y: 0
OC. -6 sys 9
OD. -10 sys

Answers

Answer:

The answer is C

Step-by-step explanation:

The range of the function plotted on the graph is [-6, 9].

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the graph of a function shown in the image.

Range of a function is the set of {y} - values that exist for the values in the domain of the function. We can see from the graph that the values of {y} range from {y} = - 6 to {y} = 9 over the entire domain. See the black dots, that black dots mean that the both the numbers -6 and 9 are included in the range. So, in the set form, we can write the range of the function as -Range : [-6, 9].

Therefore, the range of the function plotted on the graph is [-6, 9].

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ7

A square tile has a side length of 12 cm. What is the area of the tile?

48 square centimeters

72 square centimeters

24 square centimeters

144 square centimeters

Answers

Answer:

144 cm²

Step-by-step explanation:

Remember: If you are finding the area of a square and are given a side, you can simply square it and it will be the area. Thus:

12 x 12 cm = Area of tile.

=> 144 cm² = Area of tile.

Therefore, 144 cm² is the area.

Hoped this helped.

Lia has 72 green grapes that are shared equally between 8 of her friends. Darrel adds 41 green grapes to his share. How many grapes does Darrel have in all

Answers

The answer would be 49 because 72 divided by 8 would be 9 and you add 41 you get 49

Darrel has 50 grapes in all.

Lia has 72 green grapes, and she shares them equally between 8 friends. To find out how many grapes each friend receives, divide the total number of grapes by the number of friends:

Number of grapes each friend receives = 72 / 8 = 9

Now, Darrel adds 41 green grapes to his share, so the total number of grapes he has is:

Total grapes for Darrel = Number of grapes Darrel received initially + Additional grapes added by Darrel

Total grapes for Darrel = 9 + 41 = 50

To know more about grapes:

https://brainly.com/question/22694731

#SPJ2

ordered pairs on a vertical line have the same y coordinate. true, sometimes true or not true?

Answers

Pretty sure it’s not true

I’m a vertical line, they will always have the same x axis, but never the same y axis

Find the side length of the triangle.

Answers

Answer:

a=12

Step-by-step explanation:

brainlest if this helped so much !

Answer:

Its A. 12

Step-by-step explanation:

Hope this helps!

what is the term to term rule of the sequence in 5, 10, 20, 40, 80

Answers

Each variable is doubled so the rule would be x2

Answer:In each step the number is double that of the previous step.

Step-by-step explanation:

In each step the number is double that of the previous step.

0    5

1    10

2   20

3   40

4    80

This can be written as 5*(2)^n, where n is the step number.  e;g;, 5*2^0 = 5 for step 0.  For step 4:  5*2^4 = 80.

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?


AND EXPLAIN THE STEPS

Answers

Answer:

Smaller angle : 30 degrees

Bigger Angle : 65 degrees

Step-by-step explanation:

85+6x+13x=180, 85+19x=180,19x=95,x=5

Smaller angle : 30

Bigger Angle : 65

Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline​

Answers

Answer:

wedge

Step-by-step explanation:

a. Why does the provided equation support the fact that there is a horizontal asymptote of F(x) that is not
on the x-axis?
(ax-3)(x-2)divide2(x+3)(x-2)
Y=-2 is a horizontal asymptote

Answers

Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

The function is given by:

[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

The horizontal asymptote is the limit of the function as x goes to infinity, hence:

[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

Considering only the terms with the highest exponents:

[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]

Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

For more on horizontal asymptotes and limits, you can check https://brainly.com/question/11598999

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

it's b

Step-by-step explanation:

because it is sum and difference of 3x and 5

3 feet in 4 mintes
A.______________
B.______________ per 16 minutes

Answers

Answer:

B. 12 per 16 minutes

Step-by-step explanation:

4x4=16, so multiply 3×4 to get 12.

Explain what someone has to do to get a good credit rating.

Answers

Answer:

The key to developing a great credit score is not a formula, but there are certain general recommendations that may be followed. Make on-time payments on your debts on a consistent basis. One strategy to ensure that your payments are made on time is to set up automated payments or electronic reminders for your accounts. If you've fallen behind on your payments, get up to date and remain up to date.

Step-by-step explanation:

Hope it helps if this is what you mean;)

fully simplify 124:72:48

Answers

Answer:

31:18:12

............................

Does anyone know this ??

Answers

Answer:

I believe that its C, but don't get mad at me if I get it wrong

gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.

Answers

Step-by-step explanation:

According to the given we have following inequalities:

x + y ≤ 220y ≥ 4x

See the graph attached below.

Solution region is within the triangle with marked vertices.

Which inequality is represented by the graph?

Answers

Answer:

y <  -3/2x + 1

Step-by-step explanation:

Points (-2,4) and (2, -2) are on the graph.

The graph crosses the y-axis at 1 so the y-intercept is 1

Slope = (change in the y-value)/(change in the x-value.

Slope = (-2 - 4)/ [2 - (- 2)]

Slope = -6/4

Slope = -3/2  

The equation of the line : y = -3/2x + 1

Now the graph is dotted and it is shaded down.

Therefore the inequality is y <  -3/2x + 1

i) Factorise x^2 - x - 20

Answers

[tex](x + 4)(x - 5)[/tex]

hope it helps

#carryonlearning

see the attachment for the explanation


Here is a sequence of numbers:
1
3
6
10
15

What is the name given to these numbers?

Answers

Answer:

I don't know but

1+2=3

3+3=6

6+4=10

10+5=15

if this helps you make any sense of it.. tell me

Step-by-step explanation:

Answer:

These are triangular numbers.

Step-by-step explanation:

The explicit formula for the nth term of the sequence id 1/2n(n+1).

So for, example, the 6th term =  1/2*6(6+1)

= 21.

They all fit exactly into equilateral triangles.

pls help very confusing

Answers

Step-by-step explanation:

option D is correct.

hope this answer helps you dear! take care

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

The additional information to prove the Triangles congruent is ~

[tex] \bar{AC} \cong\bar{ DF}[/tex]

The Triangles are congruent by SAS congruency criteria ~

1. Order each set of numbers from least to greatest.
a) 23 405, 23 100, 680 155, 680 056, 607 463

b) 320 376, 409 217, 317 758, 329 000, 320 768

Answers

a) 23100, 23405, 607463, 680056, 680155

b) 317758, 320376, 320768, 329000, 409217

2x+1+4x+7+5x-1+4x-18+7x-39

Answers

Answer: x=2

Step-by-step explanation:

4y=12 and 4y=2x
So:2x=

Answers

Answer:12

Step-by-step explanation:

if 4y=12

then y=3

4y=2x

then as 4y=12 then 2x=12

Answer: 2x=12

Step-by-step explanation:

so if 4y=2x we know that 2x is also equal to 12

2x=12

The mean of 7 numbers is 15. When an 8 thnumber is added, the mean decreases to 12. What is the 8 thnumber?.

Answers

Answer:

-9?????????????????????????

Step-by-step explanation:

-2k-4k=-18
i need help asapp

Answers

Answer: k = 3

-2k - 4k = -18

-2k - 4k = -18

-6k = -18

k = -18/-6

k = 3

Would appreciate brainly <3

Answer:

k = 3

Step-by-step explanation:

Given,To find the value of k

Equation:-2k - 4k = -18

Solution:

=> -2k - 4k = -18

(On adding like terms -2k and -4k)

=> -6k = -18

(As -6 multiplied with k in this side, on other side it will divide -18)

[tex] = > k = \frac{ - 18}{ - 6} [/tex]

(On Simplification)

=> k = 3 (Ans)

helpppppppppppppppppppppppppppppppppppp

Answers

Answer:

£120

Step-by-step explanation:

original_price = discounted_price / (1 - discount / 100)

78/(1-35/100)=120

A line has a slope of 1.25 and passes through the point (0, -3). What is the equation of line?

Answers

Answer:

y = 1.25x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1.25 and (0, - 3 ) ⇒ c = - 3

y = 1.25x - 3 ← equation of line

What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x

Answers

hope this help

pls mark as brainliest

Help me please I’m stuck

Answers

The x axis of the point is being translated three units to the left (going from 6 to 3)
The y axis of the point is being translated 2 units down (going from 4 to 2)

Answer:

Step-by-step explanation:

If 3 is width and 2 is length 3 units right 1 unit up

If 2 is width and 3 is length 2 units right 3 units up

Identify an equation in point-slope form for the line parallel to y-x-4 that
passes through (-1, 7).
O A y-7 - (x+1)
O B. y+1-(x-7)
O C. -?.5(x+1
O cy 7
y-
O D. yt? (x-1)
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here (a, b ) = (- 1, 7 ) , then

y - 7 = [tex]\frac{3}{4}[/tex] (x - (- 1) ) , that is

y - 7 = [tex]\frac{3}{4}[/tex] (x + 1) → A

Other Questions
Please write 4-5 sentences about what you see in this image. Include what you think happened after the photograph was taken. Can you think of an equivalent of sharia law in another religion or societal group? how are the functions of the endocrine system and nervous system similar? What is the difference between an f donor and an hfr donor?. 18= 1.57(multiply sign) X^2.2please give me steps!!! What is the least common denominator of 11/12 5/6 1/5 Can anybody help we me with these? Im really struggling on them. NEED HELP WITH 13 a-b!!!! PLEASE HELP!!!!!!! An ameba absorbs oxygen from its environment and releases carbon dioxide into its environment. This process is known as f(x)= 2/3x+5 for f(15)solve for f(15) pls help im taking a test rn and failing my grade Q-Q what is nepotism? a. when a government official is illegally elected b. when a government official appoints a family member to a job c. when a government official is promoted d. when a government official appoints a friend to a job Can someone help ????? What were Charles Dickens own personal failures? Fix the one word that is used incorrectly.Kylie loves the outdoors so much that she would rather go camping then stayin a fancy hotel Find the perimeter. Simplify your answer. What is 300,000,000x 4,000,000,000x6,000,000,000x 7,000,000,000x5000,000,000,000 I need help pls What is the slope of the line?y-4=-7(x-6) According to Albert Bandura, _____ refers to individuals' beliefs about their ability and effectiveness in reaching goals. A hunter carries a firearm while climbing into and out of a tree stand. What is the proper way to get the firearm into and down from the stand?. The half-life of a radioactive substance is 15 days. After 10 days a sample of the substance has been reduced to a mass of 4 mg. A. What was the inital mass (in mg) of the sample? B. Using your answer from above, after how many days will there only be 0. 3 mg of substance left?.