Answers:
A. 1c/2lb
B. 8 cups of dressing
SOLUTION
Given that a catering company’s recipe for Salad uses a
ratio of 2c of dressing to 4 lb of vegetables
A. Write a ratio of dressing to vegetables as a reduced
fraction
A reduced fraction is the expression of a ratio in its simplest
fractional form
Dressing: Vegetable = 2c : 4 lb
In fractional form,
2c/4lb
2 is a common factor to both numerator and denominator
Therefore, in reduced fractional form,
2c/4lb = 1c/2lb
Therefore, ratio of dressing to vegetables as a reduced
fraction is 1c/2lb
B. How many cups of dressing would they need for 16 lb of
vegetables
1c = 2lb
16lb = ?
Since 1c = 2lb
2lb = 1c
1lb = 1/2 c
16lb = 16(1/2)c
16lb = 8c
Therefore, they would need 8 cups of dressing for 16 lb of
vegetables
Answer:
9x square + y squared + z squared
Step-by-step explanation:
Multiply all the numbers by '-'. Then square them all
Answer:
The vertex of the graph is located at the point (3,6)
Step-by-step explanation:
Here, we want to know where the vertex of the equation if plotted will be
To get this, what we have to do is to equate the expression that we have in the absolute value to zero
After this, we then proceed to solve for the value of x
We have this as;
x -3 = 0
hence;
x = 0 + 3
x = 3
to get the y-value of the vertex, we look at the value at the side of the absolute value
This value is 6 and thus, the y-value of the vertex point is 6
So the coordinates of the vertex is (3,6)
a+2 a +1
= ------- / ------------------
a -5 (a - 3)(a - 5)
a+2 (a - 3)(a - 5)
= ------- * ------------------
a -5 a +1
(a+2)(a - 3)
= ----------------
a +1
a NOT equal 5 and -1
The solution of the given exponential equation is 0.688.
Given that Mike is working on solving the exponential equation 37ˣ = 12.
An exponential equation is an exponential equation where the power (or) part of the exponent is a variable.
firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:
aˣ = y
logₐy = x
Now, we will apply this transformation to our equation and we get
log₃₇12=x
Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:
x=log12/log37
So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:
x≈1.079/1.568
x=0.688
Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.
Learn more about exponential equation from here brainly.com/question/24162621
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