Ask question

Ask question

All categories

1 year ago

13

Victoria has 1.90 worth of nickels and dimes. She has two more nickels than dimes. Write a system of equation that could be used

to determine the number of nickels and the number of dimes that victoria has.

1 answer:

Wittaler [7]1 year ago

8 0

Answer: The system of equations are

0.1x + 0.05y = 1.9

y = x + 2

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of dimes that Victoria has.

Let y represent the number of nickels that Victoria has.

Victoria has 1.90 dollars worth of nickels and dimes. The expression would be

0.1x + 0.05y = 1.9

She has two more nickels than dimes. This is expressed as

y = x + 2

You might be interested in

Mr. Henry spent $15 on a new hat this week. He learned that the same hat available on

Arlecino [84]

Answer: The answer is 25 percent

Step-by-step explanation:

A math man doesn't reveal his explanation, also you should watch jojo bizzare adventures, it's a really good anime

7 0

2 years ago

Susie has 20 pieces of candy in a bag: 6 mint sticks, 5 jelly treats, and 9 fruit tart chews. If she eats one piece every 9 minu

motikmotik

Answer:

Step-by-step explanation:

7 fruit tart chews. If he eats one piece every 10 minutes, what is the probability his first two pieces will be a jelly treat and a mint stick? ... First you add all the candies together to get 20 in the bag 2+11+7=20 jelly treat: ... Paul has a bag with 6 mint sticks, 9 jelly treats, and 5 fruit tart chews. If he eats one ...

4 0

2 years ago

Ben is eating some pretzels and an entire small package of mustard as a snack. Based on

olasank [31]

Please consider the attached graph.

We have been given that Ben is eating some pretzels and an entire small package of mustard as a snack. We are asked to find the equation that represents the relationship between the number of pretzels that Ben eats, x, and the total amount of sodium in his snack, y.

First of all, we will find the slope of the line using points (1,80) and (5,140).

$m=\frac{140-80}{5-1}$

$m=\frac{60}{4}$

$m=15$

Now we will use point-slope form of equation $y-y_1=m(x-x_1)$ , where m represents slope of line and point $(x_1,y_1)$ is on the line.

We will substitute $m=15$ and coordinates of point (1,80) in above equation.

$y-80=15(x-1)$

$y-80=15x-15$

$y-80+80=15x-15+80$

$y=15x+65$

Therefore, the equation $y=15x+65$ represents the relationship between the number of pretzels that Ben eats and the total amount of sodium in his snack.

7 0

1 year ago

In a function, y varies inversely with x. The constant of variation is 4. Which table could represent the function?

Nimfa-mama [501]

The equation will be y=4/x. u can make the table of variables by inserting the values of x in the equation. for suppose here, if x=1 then y=4 , x=2 then y=2 and so on.

5 0

1 year ago

Read 2 more answers

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function <em>f</em>, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to <em>x</em> :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to <em>y</em> :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to <em>y</em> :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to <em>z</em> :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

1 year ago