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.
Answers
[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
Let (x) = 6x. The graph of f(x) is transformed into the graph of g(x) by a verticle compression of 1/3 and a translation of 2 units up. What is the equation for g (x)?
Answers
Answer:
g(x) = 2x + 2
Step-by-step explanation:
f(x) = 6x
g(x)= 1/3*f(x) + 2
g(x) = 2x + 2
( ꈍᴗꈍ)
introduction to algebra explain
Answers
Answer:
Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.
Step-by-step explanation:
In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
Hiiii!
Here's what algebra is:
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.
In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.
Hope it helps! ( ꈍᴗꈍ)
-Nezuko
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what is the y-intercept?
proportional or not proportional?
Answers
Answer:
Slope: 16
y-intercept: (0, 0)
Yes it is proportional
Step-by-step explanation:
What's the slope
To find the slope we can do rise over run.
192 - 96 96
----------------- = ----------- = 16
12 - 6 6
So the slope is 16
What is the y-intercept?
For the y intercept we can just look where the line crosses the y-line so (0, 0)
We can check that by inputing some numbers:
y = mx + b -------> 96 = 6 · 16 + b
96 = 96 + b
- 96 - 96
0 = b
in this equation b represents the y-intercept
Is it proportional?And the definition of a proportional slope is if the equation is y = mx, which in this case it is true, as the equation is y = 16x. (m is the slope which we've already found above)
So evidently the slope is proportional.
Ahmed has x pens.
Lucy has 2 more pens than Ahmed.
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Answers
2(x +2 )
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Answers
Answer:
30
Step-by-step explanation:
d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30
(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.
Answers
Answer:
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Step-by-step explanation:
If you type 30 words per minute, what is the words per minute ratio?
Answers
Answer:
30:1
Step-by-step explanation:
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Please Help! 20 Points! Will Give Brainliest if correct!
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Answer:
eh+gf/fh
Step-by-step explanation:
5x=4y make x the subject
Answers
Answer:
[tex]x = \frac{4y}{5}[/tex]
Step-by-step explanation:
[tex]5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}[/tex]
Hope this helps.
What is the value of the function y= 2x– 3 when X=-1?
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-1
2
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Answer:
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Step-by-step explanation:
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Answer: the answer is F
Step-by-step explanation: the pictures that are used for the yearbook are added to the picture for the paper which results in 450, the 270 is on top because it’s the pictures for the yearbook
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Answers
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Answers
Answer:
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The formula is to multiply by the factor 0.27777777777817.
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Answers
Answer:
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Step-by-step explanation:
56/4 = 14, 3/4 = .75
add them together
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The equations of three lines are given below. PLEASE HELP ME THIS IS DUE TODAY
NO LINKS OR I WILL REPORT YOU
Answers
Answer:
Line 1 & 2 is Perpendicular
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and Line 2 & 3 is Neither
4. If the slope of one side of a triangle is , what is the slope of the
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C.-3/2
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opl;bgklkgmhglkhnjknjkgnh kjhngkhjngkjhn
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took the test
Step-by-step explanation:
Find all zeros f(x) = 3x^2+8x+7
Answers
Answer:
Step-by-step explanation:
State if the two triangles are congruent. If they are, state how you know.
See picture for full problem. Please and thank you!
Answers
Answer:
Yes they are.
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©
Make x the subject of the formula
y = mx – C
Answers
Answer:
x = [tex]\frac{y+c}{m}[/tex]
Step-by-step explanation:
Making it the subject means "setting the equation equal to it"
y = mx – C
y + c = mx
[tex]\frac{y+c}{m}[/tex] = x
x = [tex]\frac{y+c}{m}[/tex]
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
Answer:
y=mx+c
⟹(y)−c=(mx+c)−c
⟹y−c=mx+(+c−c)
⟹y−c=mx+0
⟹y−c=mx
⟹mx=y−c
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⟹x×(mm)=1m(y−c)
⟹x×1=1m(y−c)
⟹x=1m(y−c)
Step-by-step explanation:
What is the least common denominator of 11/12 5/6 1/5
Answers
Answer:
11/12 = 132
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Have a great day friend! :D
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Y=x-6 y=-x-+4
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Step-by-step explanation:
PLZ HELP AND ANSWER QUICK Find the gradient of the line segment between the points (2,-3) and (-3,-8).
Answers
Answer:
1
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I assume you mean slope
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Answers
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Find the equation of the line that passes through (3,-4) and is parallel to 3x+y+2=0
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Answers
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Answer:
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Find the slope of the line shown below.
Answers
Hello! :)
The slope of this line is 0.
Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.
Here, we move 0 units up, so the rise is 0.
No matter what the run is, the slope is 0 anyway.
Hope it helps you!
If you have any questions, feel free to ask! (:
~An excited gal
[tex]SparklingFlower :)[/tex]
Answer:
its 0 sowe
Step-by-step explanation:
Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
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600
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750
2014
900
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If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?
Answers
What is an eigenvalue.
Answers
Answer: Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).
Step-by-step explanation:
Given tan A = (4/9) and that angle A is in quadrant 1, find the exact value of sin A in simplest radical form using a rational denominator
