1. Darla's piggy bank is full, so she plans to empty out all of the coins, roll as many as possible to deposit

into her savings account, and put the remaining coins back into the piggy bank. Rolls of pennies and

dimes consist of 50 coins each, while rolls of nickels and quarters consist of 40 coins each.

(9 points: Part 1 - 2 points; Part II - 2.5 points; Part III - 2 points; Part IV - 2.5 points)

Part II: How much will Darla deposit into her savings account?

U.S.)

Answer: x=2 and y=-3

Step-by-step explanation: you’re welcome

Answer:

RS = 2

Step-by-step explanation:

Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS

Hence:

RS + ST = RT

2x - 4 + 3x + 2 = 13

2x + 3x - 4 + 2 = 13

5x - 2 = 13

5x = 13 + 2

5x = 15

x = 15/5

x = 3

To find the value of RS

RS = 2x-4

RS = 2 × 3 - 4

RS = 6 - 4

RS = 2

Answer:

Thank you ☺️

Answer:

One Hundred Sixty

Step-by-step explanation:

Answer:

7mm : 3000 mm ; 1 : 428 4/7

Step-by-step explanation:

Given that :

Given a drawing produced using a scale :

7 millimeters = 3 meters ; the scale factor for the drawing

Comparing units in millimeter and units on meter

1000 mm = 1 meter

Hence,

3000 mm = 3 meter

Then, we can say;

7 millimeters = 3000 millimeters

7mm : 3000 mm

Divide through by 7

1 : 428 4/7

Answer: A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions?

Step-by-step explanation:

Word problem which can be modeled by the addition of two negative numbers :

A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions

Amount spent on cracker = - $4

Amount spent on carrot = - $3

Change in account = - 4 + (-3) = - $7

B.) Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?

Amount received from sale of cat = $9

Amount spent on plant = - $4

Change in account = 9 + (-4) = $5

C.) Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions?

Amount received from sale of pottery = $9

Amount received from sale of hat = $2

Change in account = 9 + 2 = $11

D.) Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?

Amount spent on VCR = - $8

Amount received from sale of VCR = $9

Change in account = - 8 + 9 = $1

Answer:

I'm pretty sure its 12 inches

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Use the Exterior Angle Theorem.

The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.

In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:

17x - 4 + 8x = 121

First, combine like terms:

17x + 8x - 4 = 121

(17x + 8x) - 4 = 121

(25x) - 4 = 121

Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides of the equation:

25x - 4 (+4) = 121 (+4)

25x = 121 + 4

25x = 125

Next, divide 25 from both sides:

(25x)/25 = (125)/25

x = 125/25

x = 5

5 is your value for x.

~

Answer:

3,628,800 arrangements

Step-by-step explanation:

Permutation has to do with arrangement.

The number of ways to arrange n objects is expressed as:

n! = n(n-1)(n-2).... (n-r)!

If Sharel buys 10 charms for the bracelet, the number of ways the charms can be arranged is  10! ways

10! = 10*9*8*7*6*5*4*3*2*1

10! = 720*840*6

10! = 3,628,800 arrangements

Hence there are 3,628,800 arrangements of charms

Answer:

no 7+2 is 9 so yeah ;)))))))))))))))

If it is ....

[tex]3 {x}^{2} - 2x + 1 = [/tex]

The coefficient of x² is (( 3 ))

& the coefficient of x is (( -2 ))

_________________________________

If it is .....

[tex]3x - 2x + 1[/tex]

[tex]x + 1[/tex]

The coefficient of x² is (( zero 0 ))

& the coefficient of x is (( 1 ))

Answer:

The function written in python is as follows:

import random

def simulate():

    count = 0

    for i in range(1,51):

         num = random.randint(200,1000)

         if num == 781:

              count = count + 1

    print(count)

Step-by-step explanation:

This line imports the random library

import random

This line defines the function

def simulate():

This line initializes count to 0

    count = 0

This line iterates from 1 to 50

    for i in range(1,51):

This line generates random number between 200 and 999

         num = random.randint(200,1000)

This line checks if random number is 781

         if num == 781:

If yes, the count variable is incremented by 1

              count = count + 1

This line prints the number of times 781 is generated

    print(count)

Answer: 2^6

Step-by-step explanation: 2^4 x 2^3 is simplified to 2^7, 2^7/2^5 is 2^2, 2^2 x 2^4 is simplified to 2^6

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

Answer: The y intercept would be different

Step-by-step explanation:

Answer:

Probability = 0.943

Step-by-step explanation:

15.6% = 0.156(probability of handwritten records with missing data)

X = random variable denoting number of handwritten records whose data are missing

Values of x = 0,1...10

Using the binomial distribution

X~binomial (10,0.156)

P(x<=3)

P(x= 0)+p(x=1)+...+p(x=3)

10C0(0.156)⁰(1-0.156)¹⁰+10C1(0.156)¹(1-0.156)⁹+10C2(0.156)²(1-0.156)⁸+10C3(0.156)³(1-0.156)⁷

This gives a probability of 0.943.

Answer:b

Step-by-step explanation:

Complete question :

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$118 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Bachelors = $53000

Masters = $65000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = b

Salary of Master's degree holder = 2b - 41000

Master's + bachelor's salary = $118,000

Hence,

2b - 41000 + b = 118,000

3b = 118000 + 41000

3b = 159000

b = 159000 / 3

b = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2b - 41000

2(53000) - 41000 = 65000

Answer:

slope would be zero

Step-by-step explanation:

It is not moving on the graph

Hope this helps!

Answer:

Its a little confusing if i wrote it so here hope this helps.

Step-by-step explanation:

Answer:

The slope is -4

The y-int is -5

Step-by-step explanation:

The slope intercept form is structured as:

y= mx + b

Being m is the slope and b is the y-intercept.

Answer:

A. Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

Step-by-step explanation:

edge

The supplementary relationship between sine and cosine  

to write sin(x + y) is  sin x cos y + cos x sin y. and correct steps are

Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles. It is expressed as ratios of sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec) angles. For example, cos2 x + 5 sin x = 0 is a trigonometric equation.

What is Sin(a + b) Identity in Trigonometry?

Sin(a + b) is the trigonometry identity for compound angles. It is applied when the angle for which the value of the sine function is to be calculated is given in the form of the sum of angles. The angle (a + b) represents the compound angle.

sin (a + b) = sin a cos b + cos a sin b

According to the question

sin(x+y)

= cos ([tex]\frac{\pi }{2} - (x+y)[/tex])

Now as (cos (x-y) = cosx cosy - sinx siny )

=  Cos ([tex]\frac{\pi }{2}-x[/tex])cos(-y) - sin([tex]\frac{\pi }{2}-x[/tex])sin(-y)

By using identity sin(–y) = –sin(y) and cos(–y) = cos(y)      

=  Cos ([tex]\frac{\pi }{2}-x[/tex])cos(-y) - sin([tex]\frac{\pi }{2}-x[/tex])sin(-y)  

=  sin x cos y - cos x sin(-y)  

= sin x cos y + cos x sin y

Hence, the supplementary relationship between sine and cosine  

to write sin(x + y) is  sin x cos y + cos x sin y. and correct steps are

Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

To know more about trigonometric equation and Sin(a + b) Identity here:

https://brainly.com/question/11919000

#SPJ3

Answer:

0

Step-by-step explanation:

he had a score of 2 on the first hole and then he go a birdie i think and it subtracted 2 from that leaving 0

5/4; it is an inproper fraction in a group of proper ones. it also doesnt have a 2 anywhere.

20/25; it is the only one that isnt simplified. it also has double didgits in both the numerator and denominator

Answer: -0.55

Step-by-step explanation: We can assume we start off with 0$ of money, so if you lose 1 quarter, 2 dimes, and 2 nickels you would be 55 cents in debt, so 55 cents in debt would be -0.55. -25-20-10=-55.

Unless you are looking for the amount of money not counting whether or not you are in debt so that would just be 0.55.