Classify the system of equations and identify the number of solutions. 5x + y = 2 2y = 4 − 10x

Answer:

6 quarters and 9 nickels

Step-by-step explanation:

alright so this took me like an hour or two to figure out cause I'm stubborn. but I wanted to give an in depth answer

..

1) first we need to know how to write it.

___=___+___

1.95 is the full value of all of the coins so it goes here. (___)=___+___

1.95=___+___

We will use q for number of quarters and n for number of nickels. the value of a quarter .25 and the value of a nickel is .05. put the value of a quarter here. ___=(___)+___

1.95=.25q+___

we will put the value of the nickel here ___=___+(___)

1.95=.25q+.05n

now that we know how to write it, we can move onto step two.

2) figuring out what variable n is

n=___

Since we know that there are three more nickels than quarters, we can start to solve this equation.

n=q+3

3) change (n) to (q+3). dont forget to use parenthesis!

1.95=.25q+.05(q+3)

4) i forget what its called but multiply .05 throughout your parenthesis. ill show you.

1.95=.25q+.05(q+3)

                  .05*q= .05q and .05*3=.15

1.95=.25q+.05q+.15

5) add variables together.

1.95=.30q+.15

6) subtract .15 from both sides to get rid of it.

1.95=.30q+.15

-.15            -.15

1.80=.30q

7) divide .30 from both sides to isolate the q and get the answer of quarters

1.80=.30q

/.30 /.30

6=q

8) add three to the number of quarters to get the number of nickels.

6+3=9 nickels

Here we need to create and solve a system of equations to find the number of coins in the piggy bank.

We will see that there are 6 quarters and 9 nickels.

let's define the variables:

x = number of nickels in the piggy bank

y = number of quarters in the piggy bank.

Knowing that the total value of the coins in the piggy bank is $1.95, then we have:

x*$0.05 + y*$0.25 = $1.95

We also know that there are 3 more nickels than quarters, then we also have:

x = y + 3

Then the system of equations is:

x*$0.05 + y*$0.25 = $1.95

x = y + 3

To solve this, we can see that x is isolated in the second equation, so we can replace it in the other equation to get:

(y + 3)*$0.05 + y*$0.25 = $1.95

Now we can solve this for y:

y*$0.05 + 3*$0.05 + y*$0.25 = $1.95

y*$0.30 + $0.15 = $1.95

y*$0.30 = $1.95 - $0.15 = $1.80

y = ($1.80)/($0.30) = 6

So we have 6 quarters.

Then the number of nickels is given by:

x = y + 3 = 6 + 3 = 9

x = 9

There are 9 nickels.

If you want to learn more, you can read:

https://brainly.com/question/20067450

Answer:

Is rational. The value is 0.42857.

Step-by-step explanation:

Answer: I HOPE IT HELPS

Results 1 - 24 of 2262 - Also included in: Properties of Multiplication Centers & Games ... match each expression to a simplified version and glue to pairs to the ... Math, Basic Operations, Place Value ... Students will match multiplication expressions with cards that show equivalent expressions using the distributive property.

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Answer: it’s 28 for sure

Step-by-step explanation:

Answer:28

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Hey there!!

Given,

[tex] \frac{24}{28} [/tex]

We generally divide the fraction from smallest prime number if they are divisible and make it in a simplest form.

So, let's work with it.

[tex] = \frac{24}{28} [/tex]

Divide it by 2.

=[tex] \frac{12}{14} [/tex]

See, it's again divisible by 2, so again divide it by 2.

=[tex] \frac{6}{7} [/tex]

Now, here 6 can be divided by 2, 3 but 7 can't be divided, as it is a prime number.

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Step-by-step explanation:

-12 = 5x

5x = -12

x = -12/5

x = -2.4

Answer:

B) 40

Step-by-step explanation:

Average speed = distance/time

Distance = 12750 km

Time = 13.5 days = 13.5*24  hours = 324 hours

Speed = 12750 km /324 h =  39.4 km/h ≈ 40 km/h

Correct option is B) 40

Answer: b

Step-by-step explanation:

Answer:

The number under the (radical) symbol. That is, a number which is having its square root taken (or cube root, 4th root, 5th root, nth root, etc.). For example, 3 is the radicand in .

Step-by-step explanation:

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that's the answer.

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Step-by-step explanation:

To convert a distance from miles to feet we use the conversion

From the question the value to be converted is 10 miles

We have

if 1 mile = 5280 feet

Then 10 miles = 10 × 5280

We have the final answer as

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Answer:

[tex]3x-y=14[/tex]

Step-by-step explanation:

To convert an equation into standard form, we want to get into the form [tex]ax + by = c[/tex].

If we have [tex]y=3x-14[/tex], our first step is to get the x term on the left side. We can do this by subtracting 3x from both sides.

[tex]-3x + y = -14[/tex]

I find it easier now to just divide both sides by -1, so that we have a more consistent equation.

[tex]3x - y = 14[/tex]

Hope this helped!

Answer:

There is no picture, my sweetheart.

Step-by-step explanation:

Answer:

Each boy will get an equal amount of 4 slices of pizza

Step-by-step explanation:

Think about multiplication 3 boys x amount of pizza for each boy=12

you would create an equation [tex]3*p=12[/tex]  divide both sides by 3 12/3=4

each boy would get an equal amount of 4 slices out of the 12 sliced pizza

Angled E and G are congruent because they are vertical angles

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congruent and vertical

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Step-by-step explanation:

To solve f(x)·g(x), you multiply them together.

(4x²+13x-12)(x+4)                           [distribute by FOIL]

4x³+16x²+13x²+52x-12x-48          [combine like terms]

4x³+29x²+40x-48

Now, we know that f(x)·g(x)=4x³+29x²+40x-48.

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

The product of two functions=f(x)·g(x)=fg(x)

Use FOIL method to simplify expression.

 f(x)·g(x)

=(4x²+13x-12)·(x+4)

=4x³+16x²+13x²+52x-12x-48

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[tex]d=\sqrt{(-2-(-4))^{2}+(3-1})^{2} }[/tex] -2-(-4)=2     3-1=2

[tex]d=\sqrt{2^{2}+2^{2} }[/tex] 2 squared is 4

[tex]d=\sqrt{4+4}[/tex]  equals [tex]d=\sqrt{16 }[/tex] or 4 simplyfied

Midpoint formula [tex]MP= (\frac{x_{1}+x_{2} }{2}), (\frac{y_{1}+y_{2} }{2} )[/tex]

[tex]MP= (\frac{-4+-2 }{2}), (\frac{1+3 }{2} )[/tex] -4+-2=-6     1+3=4

[tex]MP= (\frac{-6}{2} ), (\frac{4 }{2} )[/tex] -6/2= -3    4/2= 2

[tex]MP= (-3,2)[/tex]

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9x

Step-by-step explanation:

3x + 6x

= 9x

Answer:

This is really easy:

Answer: 9x

Step-by-step explanation:

Just add the numbers first:

3 + 6 = 9

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9x

Hope this helps :)

1. 4 g/mL

2. 2 g/mL

3. 5 mL

4. 400g

5. 25g

6. 2 cm^3

7. 2 g/cm^3

1.1n represents the total cost of n packages of pencils.

2.2m represents the total cost of m pads of paper

The entire expression represents the total cost of Yolanda's school supplies.

Answer:

1

Step-by-step explanation:

h(-2)=-3(-2)-5

h(-2)=6-5

h(-2)=1

h(-2)=1

x=-2, but i'm assuming you want h(x)

Answer:

35.225 I believe

Step-by-step explanation:

You can always check on Slader.

Answer:Let n = the smallest integer

Then the other integers are n+1, n+2, n+3 and n+4

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So the sum is always divisible by 5, for any value of n

Step-by-step explanation:

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12 + 20d

Step-by-step explanation:

OG fare = 12

Ticket price =d

20 Tickets =20d

Answer:

$12 + 20 d

Step-by-step explanation:

Right of the bat, we know she‘ll pay $12 just to get in to the fair.

If Tyra wanted to buy 20 tickets, it’ll cost her d dollars each. Which is 20 d.

Add 12 and 20(d) together and it’ll determine how much Tyra will spend in total at the fair.