Simple....
in 5 boxes you have 125 dishes...how many per box?
125/5=25
So, how many dishes in 15 boxes?
25*15=375
This means that in 15 boxes there are 375 dishes.
Thus, your answer.
x+y=8 and 25x+10y=170 are the linear equations.
x+y≤8 and 25x+10y≤170 are the inequalities.
Step-by-step explanation:
Given,
Worth of coins = $1.70 = 1.70*100 = 170 cents
Number of coins = 8
1 quarter = 25 cents
1 dime = 10 cents
Let,
x represent the number of quarters
y represent the number of dimes
1. Write an equation to represent the amount of coins Karen has.
x+y = 8
2.Write an equation to represent the value of the coins Karen has.
25x+10y=170
x+y=8 and 25x+10y=170 are the linear equations.
For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,
x+y≤8
25x+10y≤170
x+y≤8 and 25x+10y≤170 are the inequalities.
Keywords: linear equations, addition
Learn more about linear equations at:
#LearnwithBrainly
Answer:
Mauricio nació en el año 2000.
Step-by-step explanation:
Supóngase que el cumpleaños se celebra en el año 2020, si 
es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es:
Ahora, se desarrolla y se simplifica la ecuación:
Se despeja :
Mauricio tiene 20 años.
Ahora, el año de nacimiento de Mauricio es la sustracción de la edad de Mauricio del año actual:
Mauricio nació en el año 2000.
Answer:
average speed = 8y/s
Step-by-step explanation:
- What is the player's average speed over this distance ?
Formula
s = d/t
d = 40 yards
t = 5 seconds
s = 40y/5s
= 8y/s
Let's go through the steps of factoring that Venita should take.
1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b( )
2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses.
32ab ÷ 8b = 4a
8b ÷ 8b = 1
This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!
Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
