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


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Step-by-step explanation:

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Answer:12

Step-by-step explanation:

if 4y=12

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Answer: 2x=12

Step-by-step explanation:

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

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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

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

Answers

Answer: k = 3

-2k - 4k = -18

-2k - 4k = -18

-6k = -18

k = -18/-6

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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)

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 ~

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.

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The x axis of the point is being translated three units to the left (going from 6 to 3)
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Answer:

Step-by-step explanation:

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

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Identify an equation in point-slope form for the line parallel to y-x-4 that
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y-
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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

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y - b = m(x - a)

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

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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

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

Total grapes for Darrel = 9 + 41 = 50

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

According to the given we have following inequalities:

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See the graph attached below.

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Answers

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Answer:

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Answers

Answer:

I don't know but

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

Step-by-step explanation:

Answer:

These are triangular numbers.

Step-by-step explanation:

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#carryonlearning

see the attachment for the explanation

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Answer:

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

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Answers

Answer:

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Step-by-step explanation:

Have a nice day

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

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Answers

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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.

Find the range of the graphed function.
- 10
10
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O A. yis all real numbers.
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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].

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. 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

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Bigger Angle : 65

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

Answers

Answer: x=2

Step-by-step explanation:

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