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

Calculate the average rate of change for the given graph from x = -2 to x = 0

Answers

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

Step-by-step explanation:

which situation could be represented by the equation 15.5 = x/2

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

Total amount of miles travelled to and fro the store, x, = 2*15.5

This means, the mile's covered going to the store or coming back home can be expressed as ½ the total amount of miles, x, covered. Which is: 15.5 = ½x

Therefore, the third option represents the equation, 15.5 = x/2.

Charlotte is working two summer jobs, making $21 per hour tutoring and $14 per hour clearing tables. Last week Charlotte worked twice as many hours tutoring as she worked hours clearing tables hours and earned a total of $168. Graphically solve a system of equations in order to determine the number of hours Charlotte worked tutoring last week, x,x, and the number of hours Charlotte worked clearing tables last week, yy.

Answers

Answer: this is the answer please follow to the explanation

Step-by-step explanation:

21x + 14y = 168. X=2y

14y = -21x +168. 2y=x

14 divided by 14 on one side and

-21 + 168 divided by 14 on the other side

You should get...

Y= -3/2x +12

For part 2 where they want you to put the 2 numbers in, you should put the point they intercept which is (6,3).

Well, have a good day

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

Answers

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:

can you help me with this I need it done by tomorrow thank you

Answers

Answer:

x = 17deg

Step-by-step explanation:

angle DCE = angle ACB (vertically opposite angles)

therefore,

x + 100 = 4x + 49

3x = 51

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.

The formula we use is [tex]a^{2} +b^{2} =c^{2}[/tex].  a and b are adjacent and c is hypotenuse.

When you found what angle C is, you can go on and to the second triangle same theorem applies to the second triangle [tex]a^{2} +b^{2} =c^{2}[/tex]. At this stage you will already know two angles, 100 and c, so finding E using this formula will be easy


Mark the additive inverse of each integer!

Answers

Answer:

12, -12

21, -21

-11, 11

17, -17

-21, 21

additive inverse is when the sign changes either to a negative or positive.

therefore

12, -12
21,-21
-11 , 11
17, -17
-21, 21

does anyone know the answer to this? will give brainliest

Answers

Answer: a

Step-by-step explanation:

Answer:

the answer is d. it is written in scientific notation.

Step-by-step explanation:

have a nice day!

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.

Answers

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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Seventeen out of 20 teens said they eat breakfast every morning. What is the reasonable prediction for the number of teens out of 1,280 who eat breakfast every morning?

A.
340

B.
940

C.
1088

D.
1260

Answers

Answer:

It would be 1,088/1,280

Step-by-step explanation:

The answer is 1,088

In isosceles triangle △ABC, AC is the base and AD is the angle bisector of ∠A. What are the measures of the angles of this triangle if m∠ADB=110°?
I have also tried 220/3 as the base angle, but that is incorrect. Thank you!

Answers

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

PLZ HELP ME IF YOU ARE A MR.BEAST FAN. The sum of 7 and 5 times a number is 48. What are the two numbers? What is the equation and the solution of the question.

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:

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.

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:

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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?

Answers

They have won 50% of their games.

A crew of highway workers paved 1/3 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?

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Answer:

1 and 1/3 of a mile

Step-by-step explanation:

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The bike cost $120. The sales-tax rate was 8%. What is
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Answers

Answer:

$129.6

Step-by-step explanation:

just use ur calculator i think

Answer:

$129.60

Step-by-step explanation:

8 percent of 120 is 9.6

9.6+120=129.6

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

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

4.2 Weekend Earnings (Will get brainlyest ¡ please respond)
Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.
Write an equation that represents Jada’s take-home earnings in dollars, if she works at the bookstore for hours in one day.

Answers

Answer:

Step-by-step explanation:

12.20h-7.15=E

HELLLLLLLLLLLLLLLLLLLPPPPPPPP

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

^-^ hope this helps! (●´ω`●)

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

what slope line passes through the points (-5,3) and (-3,8)

Answers

Answer:

5/2

Step-by-step explanation:

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

The slope of the line passing through (-5,3) and (-3,8) is 5/2.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

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

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the slope of a line passing through two given points, we use the formula:

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

where m is the slope and[tex](x_1, y_1) ~and ~(x_2, y_2)[/tex] are the coordinates of the two points.

Plugging in the values given, we get:

[tex]m = \frac{8-3}{-3-(-5)} = \frac{5}{2}$$[/tex]

Therefore,

The slope of the line passing through (-5,3) and (-3,8) is 5/2.

Learn more about equation of a line here:

https://brainly.com/question/23087740

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find the total cost or sale price to the nearest cent and write your answer with a dollar sign

$2,500 jet ski; 6.5% tax

Answers

Answer:

$2662.5 is the answer in my opinion

Leah loves chicken wings and is comparing deals at 4 different restaurants. Buffalo Bills has 8 wings for $7. Buffalo Mild Wings has 12 wings for $10. Wingers has 20 wings for $17. Wing stop has 10 wings for $12. What is the price per chicken wing? Buffalo Bills $1.20 Buffalo Mild Wings $0.85 Wingers $0.87 Wing stop $1.20

Answers

not to mention the value of x is integrated with the bills which makes the equation oosubtibe

Determine if the two triangles are congruent. Help please

Answers

Answer:

ASA

Step-by-step explanation:

As we know that the Two corresponding angles are equal along with their Included Side (Side bounded by the angles) are equal as they share the common Included Side, through ASA criterion we can prove that the two angles are congruent.

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

A pelican flies to 40 feet above sea level. It then drops down 40 feet to catch a fish. Where is the pelican now? Use the number line below to help you.

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

On sea level

6 gallons to 42 gallons
Express each ratio as a fraction in the simplest form

Answers

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If you have school calculator just put it in and you should get 1/7

1 2/3 × 2 5/8 Give your answer as a mixed number in its simplest form.

Answers

Answer:

4 3/8

Step-by-step explanation:

hope this helps

Find the zeros for the given equation hurry!!!!

Answers

Answer:

x = 3 and -1

Step-by-step explanation:

5(x²-2x-3)

(x-3)(x+1)

Answer:

Zero's are: x= 3, -1

Step-by-step explanation:

With factoring, and determining the middle ground, finding the zeroes will come back to this result.

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