Perform the indicated operation.

If you have two nickels and two dimes and nine pennies how much will that be

Drupady [299]

39cents would be the answer

8 0

2 years ago

Stock worth $80 a share dropped in value by 15% on Tuesday, then increased by $7 the next Wednesday and, finally, increased by 1

Nutka1998 [239]

<h2>Steps</h2>

So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):

When decrease: (1 - p)m
When increase: (1 + p)m

So firstly, the $80 share dropped by 15%. Since this is a decrease, follow the appropriate expression:

$15\%=0.15\\\\(1-0.15)*80\\0.85*80\\68$

On Tuesday, the share went from $80 to $68

Next, on Wednesday the share increased by $7. With this, just add $68 and 7.

$68+7=75$

On Wednesday, the share went from $68 to $75

Lastly, on Thursday the share increased by 12%. Since this is an increase, follow the appropriate expression:

$12\%=0.12\\\\(1+0.12)*75\\1.12*75\\84$

<h2>Answer</h2>

The final price of the share is $84.

7 0

2 years ago

Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi

ANEK [815]

Answer:

They charged $6 for washing and $2 for vacuuming the car.

Step-by-step explanation:

Let the charge of washing a car be 'x'.

And also let the charge of vacuuming a car be 'y'.

Now according to question, Trisha raised $38 washing 5 cars and vacuuming 4 cars.

So framing the above sentence in equation form, we get;

$5x+4y=38\ \ \ \ \ equation\ 1$

Again according to question, Byron raises $28 by washing 4 cars and vacuuming 2 cars.

So framing the above sentence in equation form, we get;

$4x+2y=28\ \ \ \ \ equation\2$

Now multiplying equation 2 by '2', we get;

$2(4x+2y)=28\times2\\\\8x+4y=56\ \ \ \ equation\ 3$

Now we subtract equation 1 from equation 3 and get;

$(8x+4y)-(5x+4y)=56-38\\\\8x+4y-5x-4y=18\\\\3x=18\\\\x=\frac{18}{3}=6$

Now substituting the value of 'x' in equation 1, we get;

$5x+4y=38\\\\5\times6+4y=38\\\\30+4y=38\\\\4y=38-30=8\\\\y=\frac{8}{4}=2$

Hence They charged $6 for washing and $2 for vacuuming the car.

8 0

2 years ago

Simplify 2(x - 3) + 7(x + 2). 9x - 8 9x + 3 9x + 8

Aleks04 [339]

The answer is 9x+8. if you distripute the 2, you get 2x-6. if you distribute the 7, you get 7x+14. then you combine like terms ans get 9x+8

7 0

2 years ago

Read 2 more answers

What is the solution set of these system5x-2y=17 and 4x-7=13?

MatroZZZ [7]

Answer:

x=5

y=4

Step-by-step explanation:

Step 1:

Let us solve for x using the $4x-7=13$ equation by isolating terms containing the variable:

$4x-7=13\\4x=20\\\fbox{x=5}$

Great! x is 5... let's find y.

Step 2:

Since we know the value of x, we can use what we know to find y using the other equation:

$5x-2y=17\\$

Given that x=5, we can replace x with 5.

$5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}$

I hope this helps! Let me know if you have any questions :)

3 0

2 years ago