MATHEMATICS MIDDLE SCHOOL

Victoria has $1.90 worth of nickels and dimes. She has 2 more nickels than dimes.Write a system of equations that could be used to determine the number of nickels
and the number of dimes that Victoria has. Define the variables that you use to write
the system.

Answers

Answer 1
Answer:

Answer:

0.05n+0.10d=1.90

n=d+2

Step-by-step explanation:

One nickel is worth $0.05, so n nickels are worth 0.05n. One dime is worth $0.10, so dd dimes are worth 0.10d.The total 0.05n+0.10d equals $1.90:

0.05n+0.10d=1.90

Since there are 2 more nickels than dimes, there are more nickels, so if we add 2 to the number of dimes, we will get the number of nickels, meaning nn equals d+2.d+2.

n=d+2
Answer 2
Answer:

Final answer:

From the problem, we create a system of equations that represent the value and quantity of nickels and dimes Victoria has. The system is: 0.05N + 0.10D = 1.90 and N = D + 2, where N represents nickels and D represents dimes.

Explanation:

The problem is about finding the number of nickels and dimes Victoria has. To do this, we will use a system of equations. We'll define N as the number of nickels and D as the number of dimes.

The first equation is based on the total value: since a nickel is worth $0.05 and a dime is worth $0.10, Victoria's coins add up to $1.90 - hence 0.05N + 0.10D = 1.90

The second equation is based on the quantity of coins: Victoria has 2 more nickels than dimes - hence N = D + 2.

Therefore, the system of equations is:

  • 0.05N + 0.10D = 1.90
  • N = D + 2

Learn more about System of Equations here:

brainly.com/question/21620502

#SPJ11

Related Questions

Please help with this
At summer camp the ratio of boys to girls is 7:1. 1. If there were 63 boys how many girls were there?
what is:A student is raising money for cancer research. A local business agrees to donate an additional 25% of what the student raises, while a local politician also agrees to donate an additional 5% of what the student raises. If the student raises $450.00, what is the total donation? (Hint: The total donation is the amount the student raises plus the additional donations.)
Which expression is equivalent to (2x + 4)2 − (2x2 + 6)?
Luke can read 4 pages in 1 minute. Write the ordered pair for Luke reading 0,1,2 and 3 minutes

Find the area of this figure

Answers

Answer:

132 cm squared

Step-by-step explanation:

Find the area of the rectangle on the top first.

Finding the area of a rectangle:

The formula to find the area of a rectangle is to multiply the length by the width. So for your rectangle you would do

7 x 4 = 28cm squared. Keep this is mind and we will move on the the next problem.

The figure under the rectangle is a trapezoid.

To find the area of a trapezoid:

Step 1)

Average the bases.

The dotted line is 7 cm. This is a base.

The line on the very bottom is 19 cm. This is your 2nd base. Find the average of these bases.

(7 + 19) / 2

= 26/2

=13

Step 2)

Multiply this by the height. The height of the trapezoid is 8 cm.

Multiply:

13 x 8

This would get you 104. This is the area of the trapezoid.

Add 104 to the area of the rectangle, 28, to get 132.

The area of the whole figure, therefore, is 132cm squared.

I hope this helps!

What is 428.6401 rounded to the nearest whole number ?

Answers

it would be 429 because 5 or more go next door for or less home is best. and 8 is greater then 5
Since you're rounding to the nearest whole number, you use the tenths place to determine how to round it. 6 ≥ 5 so the ones place is rounded up, making 429 your answer.

How do you do number 8

Answers

you have to follow the order of operations. parentheses comes first. solve 5n * 9. you get 45n. take that and multiply it with 2n. you will get 90n as the answer.

What is the answer to -|25|
It is -25 or just 25

Answers

It would equal negative twenty five
-25 because the minus sign is outside the mod function

How do you simplify 7 (2x+10) thanks in advance

Answers

the only thing you should do is to multiply 7 by 2x and 10. 
so you will have: (7*2x) + (7*10) = 14x + 70 :)))
i hope this is helpful 
have a nice day 

Describe and correct the error(s) made in each of the problems below. 1−x / (5−x)(−x)=x−1 / x(x−5)

5/s+2/5=2/s

Answers

Answer:

\displaystyle (1-x)/((5-x)(-x)) =-(x-1 )/( x(x-5))

\displaystyle (5)/(s)* (2)/(5) =(2)/(s)

Step-by-step explanation:

Errors in Algebraic Operations

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

  • When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
  • When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
  • Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

1-x / (5-x)(-x)=x-1 / x(x-5)

Let's arrange into format:

\displaystyle (1-x)/((5-x)(-x)) =(x-1 )/( x(x-5))

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

\displaystyle (1-x)/((5-x)(-x)) =-(x-1 )/( x(x-5))

Now for the second expression

5/s+2/5=2/s

Let's arrange into format

\displaystyle (5)/(s)+(2)/(5) =(2)/(s)

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

\displaystyle (5)/(s)* (2)/(5) =(2)/(s)
Other Questions
Mrs Smith has 12 times as many markers as color pencils the total number of markers and colored pencils is 78 how many markers does Mrs Smith have
Which graph shows the solution to the following inequality?
I need help ASAP which line is a linear model for the data? Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable A. The vertical axis is labeled Variable B. Points are plotted at (one, two), (two, nine), (three, five), (four, seven), (five, three), (six, eight), (seven, six), (eight, seven), (nine, ten). A line is drawn through point (six, eight) and point (eight, seven).Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable A. The vertical axis is labeled Variable B. Points are plotted at (one, two), (two, nine), (three, five), (four, seven), (five, three), (six, eight), (seven, six), (eight, seven), (nine, ten). A line is drawn through point (three, five) and point (five, three).Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable a. The vertical axis is labeled Variable B. Points are plotted at (one, two), (two, nine), (three, five), (four, seven), (five, three), (six, eight), (seven, six), (eight, seven), (nine, ten). b. line is drawn through point (one, two) and point (three, ten).Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable c. The vertical axis is labeled Variable B. Points are plotted at (one, two), (two, nine), (three, five), (four, seven), (five, three), (six, eight), (seven, six), (eight, seven), (nine, ten). d. line is drawn through point (one, two) and point (nine, ten).
The ratio of two numbers is 7 to 5. The sum of the numbers is 24. What are the numbers?12 and 12 14 and 10 21 and 15 18 and 6