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AfilCa [17]
3 years ago
15

A coffee shop sells lattes for $4 and

Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0

Answer: 54 lattes were sold

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

If each latte costs $4 , each cappuccino cost $3, and sales totaled $252:

4 x + 3y = 252

Where  

x = number of lattes

y = number of cappuccinos

The number of lattes sold was 6 more than 4 times the number of cappuccinos. Mathematically speaking:

x = 4y +6

Now, we have the system:

a)4 x + 3y = 252

b)x = 4y +6

Replacing the value of x in a) for b):

4 (4y +6) +3y =252

16y +24 +3y =252

16y +3y =252 -24

19y = 228

y= 228/19

y = 12

Replacing the value of "y” in b ) for the value obtained:

b)x = 4y +6

x = 4 (12) +6

x = 48+6 = 54

x =54

So , 54 lattes were sold.

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barxatty [35]
The diameter of the the circle would be 15.92 mm so if you rounded that up it would 16.
8 0
4 years ago
A van and a bicycle move towards each other. The speed of the van is 80 km per hour, and the speed of the bike is 20 km per hour
otez555 [7]

:

.

-- :

Bike > ________300km_________< Van

20km/h 80km/h

In one hour, the bike will have moved 20km and the van would have moved 80km.

The distance between them was 300km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

300km-(20km+80km) = 200km

So now the distance between them is 200km.

Now another hour passes. The distance between them was 200km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

200km-(20km+80km) = 100km

So now the distance between them is 100km

Now another hour passes. The distance between them was 100km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

100km-(20km+80km) = 0km

So now the distance between them is 0km, which means they have met. If we count, it took them 3 hours.

:

Step 1)

Add both speeds. 20km+80km=100km

Step 2)

Total distance between them = 300km

So do 300km/100km = 3hours.

______

The solution is: .

————

Hope this helped!

4 0
3 years ago
The product of 0.031 and 1,000,000 is
3241004551 [841]

Answer:

31,000 and 6

Step-by-step explanation:

The product of 0.031 and 1,000,000 is 31,000, because the decimal point in 0.031 moves  6 places to the right.

Hope it helps :)

Please mark my answer as the brainliest

3 0
3 years ago
Read 2 more answers
Anyone know the answer
kykrilka [37]
You would need to change the slope to -6 because perpendicular lines have opposite reciprocal slopes.
5 0
4 years ago
Help is for today!!!<br>Ayuda es para hoy.!!<br>​
lorasvet [3.4K]

Answer:

x=20 degrees

Step-by-step explanation:

So, lets recall some things.

First off, opposite angles are the same.

So this would make x equal 20.

But lets test this.

When you look at a X, or any other sort of two lines that cross each other, can you ever think of a time when one side is not the same as the other? No.

This is because when you change one angle, since the lines are crossed together, it will change the opposite angle. This change will always be constant as long as the two lines connect at the same point

So if you changed a 10 degree angle of two lines, so that it was 30, this would change for the other line.

I attached a image below.

I hope this explains this to you and helps! :D

==================================================================

Respuesta:

x = 20 grados

Explicación paso a paso:

Entonces, recordemos algunas cosas.

En primer lugar, los ángulos opuestos son iguales.

Entonces esto haría que x sea igual a 20.

Pero probemos esto.

Cuando miras una X, o cualquier otro tipo de dos líneas que se cruzan, ¿puedes pensar alguna vez en un momento en el que un lado no sea igual que el otro? No.

Esto se debe a que cuando cambia un ángulo, dado que las líneas se cruzan, cambiará el ángulo opuesto. Este cambio siempre será constante siempre que las dos líneas se conecten en el mismo punto

Entonces, si cambia un ángulo de 10 grados de dos líneas, de modo que sea 30, esto cambiaría para la otra línea.

Adjunto una imagen a continuación.

¡Espero que esto te explique esto y te ayude! :D

4 0
3 years ago
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