Ask question

Ask question

All categories

3 years ago

15

Hannah has $3.10 in her piggy bank in nickels and quarters. If there are 22 coins in her piggy bank, how many are nickels and ho

w many are quarters? Please explain and show work.

1 answer:

PIT_PIT [208]3 years ago

7 0

Answer:

$12\ nickel$

$10\ quarter$

Step-by-step explanation:

we know that

$1\ nickel=\$0.05$

$1\ quarter=\$0.25$

Let

x------> the number of nickel coins

y-----> the number of quarter coins

we know that

$x+y=22$

$x=22-y$ -----> equation A

$0.05x+0.25y=3.10$ ----> multiply by 100 both sides

$5x+25y=310$ -----> equation B

Substitute equation A in equation B and solve for y

$5(22-y)+25y=310$

$110y-5y+25y=310$

$20y=310-110$

$20y=200$

$y=10\ quarter$

$x=22-y$ ------> $x=22-10=12\ nickel$

You might be interested in

25. Willa purchases a vase for her kitchen

IgorC [24]

Answer:

7,7, and 7

Step-by-step explanation:

If she vase is cubical we know that all 3 dimensions are the same. This means that x^3 = 343. So we know the answer is the cube root of 343, which is 7

3 0

3 years ago

A line is perpendicular to y = -1/2x-1

brilliants [131]

Answer:

y= 2x -3

Step-by-step explanation:

The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, this is your current equation: y= 2x + b. Next, substitute your point into the equation to get the y-intercept. It should look like this: 9=2(6) + b. 6 times 2 equals 12. Now, this is what it should look like: 9=12 + b. Subtract 12 from both sides to get -3 = b. Go back to your original equation and plug in -3 to b. This is your final equation: y= 2x -3. Hope this helped!

4 0

3 years ago

141.1933-67.53 =<br> (Divided, not minus)

Sphinxa [80]

Answer: I think its 2.09

Step-by-step explanation:

But i'm not sure.

5 0

3 years ago

Please assist me<br><br>NO LINKS!!<br>

Nana76 [90]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

$2x-6+(2x)=180$

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

$2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5$

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

$2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5$

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

4 0

2 years ago

A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet awa

tatuchka [14]

Answer:

Second puck travels farther

Step-by-step explanation:

Maximum height of first puck = 3 feet

The height of a second hockey puck is modeled by:

$y=x\left(0.15-0.001x\right)$

$y=0.15x-0.001x^2$

To find maximum height of second puck

$y'=0.15-0.002x$

Equate the derivative equals to 0

0.15-0.002x=0

$\frac{0.15}{0.002}=x$

75 = x

At x = 75

$y=0.15(75)-0.001(75)^2=5.625$

So, The maximum height of second puck is greater than first puck

So, Second puck travels farther

5 0

2 years ago