Una caja registradora contiene $1782 en monedas de cinco pesos, de diez y de un peso. Hay 802 monedas en total, y 10 veces más de 5 que de a 10 ¿Cuántas monedas hay de cada una en la caja registradora?

Answers

Answer 1

Answer:

En la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas un peso.

Step-by-step explanation:

De acuerdo a la información, puedes escribir las siguientes ecuaciones:

x+y+z=802 (1)

5x+10y+z=1782 (2)

x=10y (3)

Primero debes reemplazar (3) en (1) y (2):

10y+y+z=802

11y+z=802 (4)

5(10y)+10y+z=1782

50y+10y+z=1782

60y+z=1782 (5)

Ahora, tienes dos ecuaciones:

11y+z=802 (4)

60y+z=1782 (5)

Puedes despejar z en (4):

z=802-11y (6)

Después, puedes reemplazar (6) en (5):

60y+802-11y=1782

49y=1782-802

y=980/49

y=20

Puedes reemplazar el valor de y en (3) para encontrar x:

x=10y

x=10(20)

x=200

Puedes reemplazar el valor de y en (6) para encontrar z:

z=802-11(20)

z=802-220

z=582

De acuerdo a esto, en la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas de un peso.


Related Questions

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Answer:

4 3/8

Step-by-step explanation:

hope this helps

One baseball team played 36 games throughout their entire season. If this baseball team won 18 of those games, then what percentage of their games did they win?

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They have won 50% of their games.

Timothy has $500. He spends $50 each week on
groceries. Write an equation to find the total amount
of money he has left, y, after x weeks have passed.

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Answer:

It takes 10 weeks to spend each $500

Step-by-step explanation:

If he spend $50 each week on groceries, we can say that he spend $100 on groceries every two weeks

To make it to 500 dollars we would have to use the equation 100x5.

This equals to 500

We could also do 100 plus 100 plus 100 plus 100 plus 100.

3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to point D in between angle E A F. Angle C A E is 61 degrees, angle D A F is 90 degrees, and angle F A B is 61 degrees. Find the following angle measures. mAngleEAD = ° mAngleCAB = °

Answers

Answer:

m < EAD = 29 degrees

m < CAB = 119 degrees

Given :

The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees

Solution:

1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

2. m<BAC + m<EAC = 180 degrees (sum of linear pair)

3. m<CAB = 180 degrees - m<EAC

4. Equation 1: m<CAB = m<EAF = 119 degrees

5. m<EAF = m<EAD + m< DAF

6. m<EAD = m<EAF - m<DAF

7. m<EAD = 119 degrees-90 degrees = 29 degrees

Hope this helps!!! :)

Attached photo work is created by another brainly user named tallinn.

Click on this link to find his work and possibly more information of the answer. Thanks!

m < EAD = 29 degrees

m < CAB = 119 degrees

It is given that Angle C A E is 61 degrees,

angle D A F is 90 degrees,

angle F A B is 61 degrees

We need to find mAngleEAD and  mAngleCAB

What is sum of linear pair angles?

The sum of linear pairs is 180 degrees

Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

m<BAC + m<EAC = 180 degrees (sum of linear pair)

m<CAB = 180 degrees - m<EAC

Equation 1: m<CAB = m<EAF = 119 degrees

m<EAF = m<EAD + m< DAF

m<EAD = m<EAF - m<DAF

m<EAD = 119 degrees-90 degrees = 29 degrees

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At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:


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Answers

Answer:

12, -12

21, -21

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17, -17

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therefore

12, -12
21,-21
-11 , 11
17, -17
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Answer:

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Step-by-step explanation:

just use ur calculator i think

Answer:

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Step-by-step explanation:

8 percent of 120 is 9.6

9.6+120=129.6

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation: The triangle is isosceles, meaning it has two twin sides, that make two twin angles, namely AB = BC, and the angles at A and C are twins as well. now, the AD segment, is an angle bisector, meaning it cuts the angle at A in two equal halves, so if say the angles are x° each, then the bisectors cut it in (x/2)°. now, we know ∡ADB is 110°, therefore its supplementary angle, in green, is 70°. recall that the sum of all interior angles in a triangle is 180°, thus Check out the photo below

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

have a nice day!

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

i aint never seen two pretty best friends, its always one em gotta be ugly

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The equation of a line is given by:

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where m is the slope of the line and c is the y-intercept.

Example:

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We have,

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer: this is the answer please follow to the explanation

Step-by-step explanation:

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Answers

Answer:

C. Julie drive 15.5 miles from her home to the grocery store. Julie drives the same path going back home. What is x, the total amount of miles traveled to the grocery store and back home?

Step-by-step explanation:

The situation in the 3rd option represents the equation, 15.5 = x/2.

Distance driven by Julie to the grocery store = 15.5 miles

Distance driven by Julie back home following the same path = 15.5 miles

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Answers

Answer: The pelican is now at sea level. This would be zero on a number line.

Answer:

Step-by-step explanation:

40 ft - 40 ft = 0

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Answers

Answer:

x = 17deg

Step-by-step explanation:

angle DCE = angle ACB (vertically opposite angles)

therefore,

x + 100 = 4x + 49

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x = 17deg

Answer:

X=

Step-by-step explanation:

First you have to divide the shape into to triangles. Triangle CED and triangle ACB.

Second you have to find what angle C is in the triangle ACB. For this you'll have to:

Find out which of the sides are which. For triangle ACB, side CB is the hypotenuse, CA and AB are adjacent.

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Answers

Answer:

option 4

Step-by-step explanation:

Answer:

Option 4 (C)

Step-by-step explanation:

Substitute the f(x) = 10 - x^2 into where it says f(x):

g(x) = 3 f(x) - 8

g(x) = 3 (10-x^2) - 8

Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:

g(-2) = 3 (10-(-2)^2) - 8

g(-2) = 18 - 8

g(-2) = 10

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Which one is true? Select all that apply.
A. The slope of AC is equal to the slope of BC.
B. The slope of AC is equal to the slope of BD.
C. The slope of AC is equal to the slope of line t.
D. The slope of line t is equal to EC/AE
E. the slope of line t is equal to FB/FD
F. The slope of line t is equal to AE/FD

Answers

Answer:

Options (A), (B), (C) and (E).

Step-by-step explanation:

Option (A).

Slope of AC is equal to the slope of BC.

Since, points A, B and C are collinear points,

Slopes of AC and BC will be equal.

True.

Option (B).

Since, points A, B, C and D are collinear points, slope of AC and BD will be equal.

True.

Option (C).

Points A and C are lying on line 't'.

Therefore, slope of line 't' and line AC will be equal.

True.

Option (D).

Slope of 't' = slope of line AC

                  = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                  = [tex]\frac{AE}{EC}[/tex]

False.

Option (E).

Slope of line 't' = slope of line BD

                         = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                         = [tex]\frac{FB}{FD}[/tex]

True.

Option (F).

Slope of line 't' = [tex]\frac{AE}{FD}[/tex]

False.

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Answers

Answer: x goes from 0 to 2, y changes from 0 to -2

Step-by-step explanation:

Given a slope of 3 and the point (2, 1), find the Y-intercept of the line.

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Answer:

(0,-5)

Step-by-step explanation:

my work is in the picture I attached. lmk if you'd like me to explain more :)

Step-by-step explanation:

catie charges an initial amount of $5 for babysitting and the $3 per hour. jolisa does not charge an initial amount but charges $4 per hour. write and solve an equation to find how many hours each girl sill have to babysit to earn the same amount.​

Answers

Answer:

32

Step-by-step explanation:

5+3=8

8x4=32

4x8=32

For f(x) = 8x + 8, find f(5).

Answers

Answer:  48

Work Shown:

f(x) = 8x + 8

f(5) = 8*5 + 8

f(5) = 40 + 8

f(5) = 48

The graph below represents a linear function


Wich of the following best represents the slope of the line shown below ?​

Answers

Answer:

3/2

Step-by-step explanation:

rise over run....basically the slope goes 3 units up and 2 units to the right, and the slope is positive, so 3/2

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Answers

Answer:

I´m not a Mr. Beast fan but the answer is 4. 4*12 (which is the sum of 7 and 5) = 48

The equation is (7+5)x=48

Answer:

i am a big fan here is the answer  (7+5)x=48

Step-by-step explanation:

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