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?
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.
there are 12 inches in a foot how many square inches are in 1 1/2 feet
Answer:
144.
The reason is because 1 ft = 12 in, (1 ft)2 = (12 in)2 = 144 in2.
Find the area of the triangle
Answer:
The area of the triangle WYX = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The area of the triangle WYX is [tex]\frac{1}{2}[/tex]*b*h
We need to find base (b) and height (h)
By counting from the drawing, the base which is horizontal is 7 and the height which is vertical is 5
The area of the triangle WYX is [tex]\frac{1}{2}[/tex]*b*h
The area of the triangle WYX = [tex]\frac{1}{2}[/tex]*7*5 = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]
William left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 12 blocks every minute. Make a graph showing the number of blocks away from home that William is x minutes after he leaves his house, until he get back home.
Answer:
17 minutes
Step-by-step explanation:
First distance in blocks and time.
x1= 8 b and t1 = 4 min
Second distance in blocks and time.
x2= 8 b and t2 = 6 min
Third distance in blocks and time.
x3= 24 b and t3 = 12 min
Fourth distance in blocks and time.
x4= 24 b and t4 = 17 min
Final distance in blocks and time.
x5= -24 b and t5 = 19 min
The first trap Willian is 8 blocks from home, we know that the speed is 2 b/min (blocks per minute). Using the definition of speed V1 = x1/t1 we can find t1. t1 will be t1 = 8/2 = 4 min.
He spends 2 minutes, so t2 = 6 min.
Now, the new speed is V2=4 b/min and go to the bank that is 16 blocks away from store, so x2 = 16 + 8 = 24 b. Times will be t = 24/4 = 6 min. But we need to add to t2 to get the total time. t3 = 6 + 6 = 12 min.
He spends 5 minutes here, so t4 = 12 + 5 = 17 min.
Finally, he drove home at -12 b/min, so the time to get home will be:
t = 24/12 = 2 min. Therefore, the total time t5 = 17 + 2 = 19 min.
You can learn more about velocity plots here:
https://brainly.com/question/14360042
https://brainly.com/question/18372944
I hope it helps you!
What is 6.02 x 10^5 written in standard form?
Answer:
602,000
Step-by-step explanation:
Answer:
602,0000
Step-by-step explanation:
10^5 = 100,000
6.02 x 100,000
I simply moved the numbers forward by 5 spaces.
1−2+3−4+5−6 + ⋯ +101−102
Answer:
-4
Step-by-step explanation:
1-2=-1+3=2-4=-2+5=3-6=-3+101=98-102=-4
I hope I am right
What is the slope, m, and y-intercept for the line that is plotted on the grid?
Answer:
the slope and m is 2 and the y intercept is 4
Step-by-step explanation:
Remember y=mx+b
Divide and reduce: 2 1/4 divided by 1 2/3
Answer:
63/48
Step-by-step explanation:
21/4÷12/3
21/4×3/12
63/48.
So the final answer is 63/48
Answer:
1/35
Step-by-step explanation:
help pls, this is geometry
Answer:
sas - meaning side angle side
Step-by-step explanation:
The Ironman endurance race has a 2.4 miles swim. Javier can swim 0.5 miles in 20 minutes. If he can continue this pace, it will take him hours to finish the swim event.
Given :
The Ironman endurance race has a 2.4 miles swim.
Javier can swim 0.5 miles in 20 minutes.
To Find :
How much time in hours it takes to complete the race.
Solution :
Speed of Javier :
[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]
Let, time taken to cover 2.4 miles is t .
So,
[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]
Hence, this is the required solution.
Solving systems of equations x+y=10 y=x-4
Answer:
(7,3)
Step-by-step explanation:
camila has a younger brother and an older brother. one is three years younger than her and the other is 5 years older than her
Answer:
59 years and younger
Step-by-step explanation:
Which shows equivalent expressions?
By using Euler's formula, find the number of edges of a polyhedron with 16 faces and 20 vertices
Answer:
34 edges
Step-by-step explanation:
Euler's formula for polyhedron states
F + V - E = 2
where F is number of faces, V, number of vertices, E number of edges
Here F = 16, V = 20, thus
16 + 20 - E = 2, that is
36 - E = 2 ( subtract 36 from both sides )
- E = - 34 ( multiply both sides by - 1 )
E = 34
why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1
Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1
04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations
Answer:
1st one m=0
y= 0.49875311x / cm
No horizonal asymptotes
x= 1/2 + 2.005 mcy
2nd one is
slope 1/2
y intercept (0,2)
x y
-4 0
0 2
Step-by-step explanation:
for 2
starting point ay y 2 make a point
then rise over run
go up 1 and to the right 2 and point , then up 1 and to the right 2 and point
there is your graph
y = 4x + 12
What is the x - intercept?
Answer:
The x-intercept is -3
Step-by-step explanation:
So what you need to do is just graph this like any other equation
Start and (0, 12) and make a point
Then the slope is 4 so go up 4 and right 1 and keep doing that.
Then go the opposite direction so down 4 left 1
After that see where the line hits the x-axis, in this case, its (-3, 0)
So the x intercept is -3 or (-3, 0)
Pls mark brainliest because i didn't waste your time lol
Answer: (-3, 0)
Step-by-step explanation: If you want to find the x- intercept for y = 4x + 12, you’ll have to plug y = 0 into the equation and solve the resultint equation 0 = 4x + 12 for x. [0 = 4 x -3 + 12]. Hence, x = -3, so the x - intercept is (-3, 0).
a hot air ballon is rising at a constant rate. the relationship between its height above the ground and the time since it left the ground is shown in the following graph
Answer:
C
Step-by-step explanation:
Khan academy .-.
Does this look good I made it this morning
Answer:
looks delicious
Step-by-step explanation:
Answer:
Man looks so good!
Step-by-step explanation:
Send me some in the mail. lol ☺☻♥
Solve the following system of equations:
Y=x^2+4x+4
Y=x+2
What is the value of y?
Answer:
y=4, y=2
Step-by-step explanation:
Solve the equation 7x+12=x−6 to find the number, x .
x= __
Answer: -3
Step-by-step explanation:
5/8 divided by 1 and 1/3?
Answer:
15/32
Step-by-step explanation:
First convert 1 1/3 to improper fraction:
1 1/3 = 4/3
5/8 divided by 4/3 is same as...
[tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]
please help me with this!!!
23=-8y-7+2y
Y=???????????
Answer:
y= -5
Step-by-step explanation:
Answer:
y=-5
Step-by-step explanation:
23=-8y-7+2y
23=-6y-7
23+7=-6y-7+7
30=-6y
To find Y divide both sides by-6.
30/-6=-6y÷-6
-5=y
a=3b+4c-a is this a litteral equation
Answer:
a= 3b+4c/2
Step-by-step explanation:
2a=3b+4c
a= 3b+4c/2
What type of integer would revenue be?
Answer: negative
Step-by-step explanation:
help meeeee prettty pleaseee fastttttt
Answer:
D
Step-by-step explanation:
Given
y³ = 125 ( take the cube root of both sides )
[tex]\sqrt[3]{y^3}[/tex] = [tex]\sqrt[3]{125}[/tex]
y = 5 → D
It takes 3 2 ⁄6 spoons of chocolate syrup to make 2 3 ⁄5 gallons of chocolate milk. How many spoons of syrup would it take to make 4 gallons of chocolate milk?
Answer:
Step-by-step explanation:
This is a proportion question.
change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333
change 3/5 to a decimal 3/5 = 0.6
3.3333 / 2.6 = x / 4 Cross multiply
4*3.33333 = 2.6x Combine the left.
13.33333= 2.6x Divide by 2.6
13.3333/2.6 = x
x = 5.128 spoons of syrup.
What is a first step to solving for x in the equation −=9 x minus 7 equals 10? How would you check your solution
Answer:
-17/9
Step-by-step explanation:
You need to add 7 to both sides.
-9x - 7 = 10
-9x -7 + (7) = 10 + 7
-9x = 17
Then both sides for (-9)
-9x/(-9) = 17/(-9)
x = -17/9
Write the equation of the line through (2,3) and (-1,-12) in slope
intercept form.
will give brainliest
Answer:
y = 5x - 7
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-12 - 3) / (-1 - 2)
= (-12 - 3) / (-1 - 2)
= -15 / -3
m = 5
y-intercept using slope above and anyone point, let's use (-1, -12):
y = mx + b
-12 = 5(-1) + b
-12 = -5 + b
b = -7
Equation of line using m and b from above:
y = mx + b
y = 5x - 7