Mathematics High School

Talia bas 26 $1 coins, 20-cent coins, 50-cent coins. The number of $1 coins is 6 more than the number of 20-cent coins. The total value of the coins is $17.20. How many 50-cent coins are there?

Answers

Answer 1

Answer:

8 fifty cents coin.

Step-by-step explanation:

Let's assign variable for the unknown number of coins.

Let there are 'x' number of $1 coins

'y' number of 20 cent coins

'z' number of 50 cent coints.

Totally there are 26 coins.

So, x+y+z=26

Now, there are 6 more $1 coins than 20-cent coins.

We can set up equation for this as

x= y+6

Now, total value of these coins is $17.20

We can setup equation as

100 x+20 y+50 z=1720

Now, substitute x as y+6

100(y+6) +20 y+50 z =1720

Distribute the 100 to get rid ( )

100 y+600 +20 y+50 z=1720

Combine like terms

120 y+50 z= 1120

Keep this equation as it is.

Plug in x as y+6 into x+y+z=26

y+6+y+z=26

2y+z=20

Now, take the two equations

2y+z=20

120y+50z=1120

Multiply first equation by -60 to eliminate the y terms when we add them.

-120y-60z=-1200

120y+50z= 1120

-------------------------

-10z =-80

Divide both sides by -10

z=8

Now, plug in z as 8 into 2y+z=20

2y+8 =20

Subtract both sides 8

2y=12

Divide both sides by 2

y=6

Now, plug in y, z values into the first equation.

x+6+8=26

x+14=26

Subtract both sides 14

x=12

So, there are eight 50-cent coins.

Related Questions

Which expression shows the result of applying the distributive property to −2(1/3x−1/5)?

2/3x−2/5

2/3x+2/5

−2/3x−2/5

−2/3x+2/5

Answers

Answer:

Its C

Step-by-step explanation:

Charles and Jaden share a reward of $63 in a ratio of 2:5. How much does Jaden
get?

Answers

Answer:

Step-by-step explanation:

2:5=7

therefore Jaden got 63÷7

Predict whether the product is greater than, less than, or equal to
2/3
. Then find the product.

2/3 × 1 3/5

Answers

1 10/18 simplify before putting the answer

Parallel lines and tranvsveral

Answers

Answer:

66°

Step-by-step explanation:

simply subtract 114 from 180

you'll come out with the answer of 66°.

Common factors of 27 and 54

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factors for 27: 1, 3, 9, and 27 Factors for 54: 1, 2, 3, 6, 9, 18, 27, and 54

so common factors are 1, 3,9 and 27

You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost of a student ticket. Find the cost of an adult ticket.

Answers

Answer:

$11 and $16

Step-by-step explanation:

let x be the cost of a student ticket then an adult ticket is x + 5 , then

3x + 7(x + 5) = 145 , that is

3x + 7x + 35 = 145

10x + 35 = 145 ( subtract 35 from both sides )

10x = 110 ( divide both sides by 10 )

x = 11

Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16

draw a number line and make ticks that are 1cm apart from-6 to7

Answers

from left side of the line to the right, with even spaces in between: -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7

The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3 milligrams, while the standard deviation is 21 milligrams. What is the approximate p-value for the appropriate test

Answers

Answer:

p = 0.0116

Step-by-step explanation:

We are given;

Population mean; μ = 200 mg

Sample mean; x¯ = 194.3 mg

Standard deviation; σ = 21 mg

Sample size; n = 70

Formula for z-score is;

z = (x¯ - μ)/(σ/(√n))

z = (194.3 - 200)/(21/√70)

Emily wanted to exchange her 300 US Dollars for Canadian Dollars.

The exchange rate for it was 1.25 Canadian Dollars for 1 US Dollar.

This means that 1 US Dollar = 1.25 Canadian Dollars.

So if we were to follow this pattern,

2 US Dollars = 2 × 1.25 = 2.5 Canadian Dollars

3 US Dollars = 3 × 1.25 = 3.75 Canadian Dollars

4 US Dollars = 4 × 1.25 = 5 Canadian Dollars

So for 300 US Dollars, we'll need to multiply 300 by 1.25.

300 US Dollars = 300 × 1.25 = 375 Canadian Dollars.

Hope it helps. :)

an elevator is currently 16.9 feet off the ground. If it ascends 32.35 feet, then descends 7.8 feet, how far off the ground is the elevator?

Answers

“Deme cambio de un dolar, por favor” dijo el cliente llamado Bob.
– “Lo siento” dijo la señorita Jones, la cajera, después de buscar cuidadosamente en la caja, “pero no puedo hacerlo con las monedas que tengo”.
– “¿Puede entonces cambiarme medio dolar?”. La señorita Jones negó con la cabeza. En realidad, dijo, “¡ni siquiera tengo para cambiar ni veinticinco, ni diez, ni cinco centavos!”
– “¿No tiene ninguna moneda?” preguntó Bob.
– “Oh, sí” dijo la señorita Jones, “tengo $1.15 en monedas”.

¿Cuáles eran exactamente las monedas que había en la caja registradora? Razona la respuesta.

Answers

Answer:

Give me change for a dollar, please" said the customer named Bob. - "I'm sorry," said Miss Jones, the cashier, after carefully searching the box, "but I can't do it with the coins I have." - "Can you then change half a dollar?" Miss Jones shook her head. Actually, he said, "I don't even have a quarter, a dime, or a nickel to change!" - "You don't have any coins?" asked Bob. - "Oh yes" said Miss Jones, "I have $ 1.15 in coins." What exactly were the coins in the cash register? Reason for the answer.

Step-by-step explanation:

Answer:

medio dólar, cuarto de cuatro dimes || half dollar, quarter four dimes

please tell me the answer to this

Answers

Answer:

Wow you got s lot of questions wrong

answer is already there

Answer:

45 inches = 3.75 foot

45 inches = 1.143

Step-by-step explanation:

An inch measurement It is equal to 1⁄36 yard or 1⁄12 of a foot

Metric (SI) units: 25.4 mm

Find the area. Simplify your answer.
x+1
2x

Answers

Answer:

[tex]A = x^{2} + x[/tex]

Step-by-step explanation:

Area of a triangle = bh/2

Your base is 2x and the height is x + 1

So, A = (2x)(x + 1)/2

A = [tex]x^{2} + x[/tex]

Whats 9*20(10+20) First Answer Gets Brainliest

Answers

Answer:

Your answer would be 5400.

Step-by-step explanation:

You have to follow PEMDAS for this one. You will start within the parenthesis and add 10 and 20 together to get 30. You would then times that by 20 and get 600. Finally, you would mulitply that by 9 and get 5400 as your answer..

Holaa, ¿cómo están?, ¿podrían ayudarme?,es urgente. Necesito saber 3 propiedades de la radicación,si alguien por favor las sabe o al menos sabe 1 o 2 por favor díganme, gracias!

Answers

Answer:

(i) La raíz enésima de un producto de dos números es igual al producto de las raíces enésimas de cada número del producto:

[tex]\sqrt[n]{a\cdot b} = \sqrt[n] {a}\cdot \sqrt [n] {b}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]

(ii) La raíz enésima de una división entre dos números es igual a la división de la raíz enésima del numerador y la raíz enésima del denominador:

[tex]\sqrt [n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt [n] {b}}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]

(iii) La raíz emésima de la raíz enésima de un número es igual a la raíz eme-enésima del número:

[tex]\sqrt[m]{\sqrt[n]{a} } = \sqrt[m\cdot n]{a}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{N}[/tex]

Step-by-step explanation:

Existen tres propiedades fundamentales de la radicación, las cuales se enumeran a continuación:

(i) La raíz enésima de un producto de dos números es igual al producto de las raíces enésimas de cada número del producto:

[tex]\sqrt[n]{a\cdot b} = \sqrt[n] {a}\cdot \sqrt [n] {b}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]

(ii) La raíz enésima de una división entre dos números es igual a la división de la raíz enésima del numerador y la raíz enésima del denominador:

[tex]\sqrt [n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt [n] {b}}[/tex], [tex]a,b\in \mathbb{R}[/tex], [tex]n\in \mathbb{N}[/tex]

(iii) La raíz emésima de la raíz enésima de un número es igual a la raíz eme-enésima del número:

[tex]\sqrt[m]{\sqrt[n]{a} } = \sqrt[m\cdot n]{a}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{N}[/tex]

Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
x+3y=16
3x+y=8

Answers

9514 1404 393

Answer:

x = 1

Step-by-step explanation:

The attached shows the matrices and the determinants. The value of x is ...

x = ∆₁/∆ = -8/-8 = 1

The value of x in the solution to this system of equations is 1.

Answer:

A: 16 3 8 1 / -8 = 1

Step-by-step explanation:

got 100% on "Cramer's rule" edge 2022 quiz

In a survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3.

Number 1 2 3 4 5
Frequency 32 96 128 112 32

Answers

Answer:

The value of the experimental probability is greater

Step-by-step explanation:

For the theoretical probability;

the probability that a card with the number 3 is selected is 1/5

We consider that the probabilities of each selection are equal, for the theoretical probability

For the experimental, we simply place the frequency of the selection 3 over the total

that will be 128/400 = 8/25

As we know that 8/25 is greater than 1/5

We can conclude that the value of the experimental probability is greater than that of the theoretical

Answer:

I hate math

Step-by-step explanation:

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