Answer:
Step-by-step explanation:
Cross multiplying
5z =14*24
5z = 336
Divide by 5
z = 336/5
Or mixed fraction z= 67(1/5)
Decimal z= 67.2
Answer:
He can make only one batch of cookies.
Step-by-step explanation:
Just by mental math you can say he can make maximum one batch of cookies.
Total sugar = 10 cups
sugar used for lemonade = 2 cups
leftover sugar = 8 cups
For 1 batch of cookie sugar needed = 11/2
which means 5 and 1/2 cups
And he's just left with 8 cups of sugar after lemonade
8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch
That means the maximum number of cookies batches is 1.
Another way to solve it by inequality:
2+Il/2 X <u><</u> 10
11/2 X <u><</u> 8
11X <u><</u> 16
X <u><</u> 1 6/11
So he can make only one batch of cookies.
F(x)=x^3-9x
and
g(x)=x^2-2x-3
so you just need to divide f(x) by g(x)
Therefore:
f(x)/g(x) = (x^3-9x) / (x^2-2x-3)
and of course you need to factor these two function to see if some factor would cancel another
x^3-9x = x(x^2-9)=x(x-3)(x+3)
and
x^2-2x-3 = (x-3)(x+1)
If you would like to know how many minutes were spent on language arts, you can calculate this using the following steps:
60% of 40 minutes = 60% * 40 = 60/100 * 40 = 24 minutes
The correct result would be: 24 minutes were spent on language arts.
Answer:
Input
Independent variable
Step-by-step explanation:
we know that
<u>Independent variables</u>, are the values that can be changed or controlled in a given model or equation
<u>Dependent variables</u>, are the values that result from the independent variables
we have the function
In this problem
This is a proportional relationship between the variables d and t
The function d(t) represent the dependent variable or the output
The variable t represent the independent variable or input
