You might be thinking of "distribution" or "distributive property"
Example:
2(3x+5) = 2*3x+2*5 = 6x+10
I multiplied the outer 2 by each term inside (3x and 5)
Hello there! To solve types of questions like these, we can write and solve a proportion. We are looking for the percentage of 380 out of 863.6. Let's set up the proportion like this: 380/863.6 = x/100. Cross multiply the values in order to get 38,000 = 863.6x. Now, divide each side by 863.6 to isolate the "x". 38,000/863.6 is 44.00185271 or 44 when rounded to the nearest whole number. 380 is appox. 44% of 863.6.
Answer:
23 flowers
Step-by-step explanation:
(For a visual example)
- Take a slip of paper and draw 12 lines evenly spaced apart.
- Draw a line in between each of those flowers.
- Count up all those flowers!
Answer: A scone costs $2.64, and a large coffee costs $1.92.
Explanation: We can write both scenarios as equations, and write it as a system of equations.
“Luis picked up seven scones and four large coffees. He paid $26.16.”
Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.
The first equation would be 7x + 4y = 26.16.
“Rachel picked up six scones and five large coffees. She paid $25.44.”
Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.
The second equation would be 6x + 5y = 25.44.
The systems of equations is:
7x + 4y = 26.16
6x + 5y = 25.44
Let’s take the first equation and solve for x.
7x + 4y = 26.16
7x = 26.16 - 4y
x = (26.16 - 4y)/7
Let’s substitute x in the second equation for (26.16 - 4y)/7, and solve for y.
6((26.16 - 4y)/7) + 5y = 25.44
Distribute the 6 across 26.16 - 4y in the term 6((26.16 - 4y)/7).
(156.96 - 24y)/7 + 5y = 25.44
Rewrite 5y as 35y/7 so it has a common denominator with (156.96 - 24y)/7.
(156.96 - 24y)/7 + 35y/7 = 25.44
Combine like terms.
(156.96 + 11y)/7 = 25.44
Multiply both sides by 7.
156.96 + 11y = 178.08
Subtract 156.96 from both sides.
11y = 21.12
Divide both sides by 11.
y = 1.92
Substitute y into the first equation.
7x + 4(1.92) = 26.16
Simplify 4(1.92).
7x + 7.68 = 26.16
Subtract 7.68 from both sides.
7x = 18.48
Divide both sides by 7.
x = 2.64
Since x = 2.64, we know that the cost of a scone is $2.64.
Since y = 1.92, we know that the cost of a large coffee is $1.92.
Therefore, a scone costs $2.64, and a large coffee costs $1.92.
Responder:
Por favor, consulte la explicación.
Explicación paso a paso:
Dado que :
Número total de movimientos realizados:
5 (2 movimientos hacia abajo y 3 movimientos hacia arriba) para llegar al noveno piso desde la planta baja.
Tome el movimiento hacia abajo como (-)
Movimiento ascendente como (+)
Número de pisos entre la planta baja (0) y el 9 ° piso: (9-0) = 9
Usando el operador de multiplicación, podemos obtener el número de pisos movidos hacia arriba y hacia abajo antes de llegar al noveno piso.
9 * 3 = 27 pisos (hacia arriba)
9 * 2 = 18 pisos (hacia abajo)
Cheque:
27 - 18 = 9