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3 years ago

A collection of dimes and quarters is worth $6.50. There are 35 coins in all. How many dimes are there?

1 answer:

8 0

Lets do this like this:
X = number of quarters and y=number of dimes.
Now, we know that the total number is 35 and that the change adds up to 6.50.
One equation we can form is <span>x+y=35</span>Remember the total number of coins is 35.
The other equation is <span>25x+.1y=6.5</span>Because the number of dimes times their value plus the number of quarters times their value gives us a total of 6.5. Now we can solve for x or y easily in the first equation.
Solving for y like this:<span>y=35−x</span>We can substitute this into the other equation to obtain<span>.25x+.1(35−x)=6.5</span>This simplifies to<span>.15x+3.5=6.5</span><span>.15x=3</span><span>x=<span>20
I hope this can help you indeed</span></span>

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Trains Two trains, Train A and Train B, weigh a total of 192 tons. Train A is heavier than Train B. The

OleMash [197]

Hi there!

So we know that the two train together is a total of 192 tons and the difference of their weights is 120 tons...

Ok let think...

When we’re looking at the once place, you’ll see a two... this means that the two train both have a ending of 1 since 2 is split into 1...

That would be another clue..

Now let think again...

If it would be 151 and we subtract by 120.. we would get...

$151-120=31$

Well it ends with a 1 so it would be perfect but we have to see if 151 and 31 together adds up with the total of 192..

$151+31=192$

This means that train A could be 151 tons or 31 tons and train B can also be wither 151 tons or 31 tons...

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3 years ago

Which equation does not define a function?

stira [4]

The first relation gives two y-values for any given x-value (except x=6).

y² +x = 6 . . . . . is not a function

5 0

3 years ago

Please answer this please

cluponka [151]

Step-by-step explanation:

<h3>beacause , True statement is</h3><h3> (x+3)(x-3)= (x-9)²</h3>

<h3>Therefore, its not true statement!</h3>

4 0

3 years ago

4x + 5y = 10

Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

$ax+by = c$

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

$a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16$

"In order for a system of equations to have infinity many solutions,

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ "

Putting the values we get

$\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8$

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0

3 years ago

the combined area of two squares is 45 square centimetres each side is twice as long as a side of the other square what length o

Ostrovityanka [42]

Answer:

Let the side of one square be x. Area = x*x = x²

Then the side of other square would be 2x , Area = 2x*2x = 4x²

Combined area = x² + 4x² = 5x²

This combined area = 45 cm²

you simplify

Therefore 5x² = 45 Divide both sides by 5

x² = 45/5

x² = 9 Take square root of both sides

x = √9

x = 3

Length of larger square is 2x = 2*3 = 6 cm

Length of larger square = 6cm

Step-by-step explanation:

4 0

3 years ago