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Westkost [7]
2 years ago
11

You buy milk at $3.48 per gallon. One portion of oatmeal requires 1 oz of milk. How much does the milk for one portion cost? Rou

nd to the nearest cent.
Mathematics
1 answer:
SSSSS [86.1K]2 years ago
7 0

Answer:

3¢ or 0.03

Step-by-step explanation:

To answer this, we just need to divide the price of a gallon by the amount of ounces in a gallon.

When we do this, we get the price of an ounce, or one serving.

There are 128 fluid ounces in a gallon.

$3.48/128=0.02718... or 0.03.

The amount of milk for one portion, or one ounce, costs 3 cents.

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Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect? f(x) g(x) graph of the function f
agasfer [191]

Consider the quadratic function f(x)=\frac{1}{3}x^2-2x

and the linear function g(x) defined as

\text{at  }x=1, g(x)=1; \text{ at }x=2, g(x)=2 \text{ and at }x=3, g(x)=3

\text{so the linear function is }
g(x)=x\\
\\
\text{now to check whehter the quadratic function f(x) and linear function }g(x)\\
\text{intersects, we solve the equations }f(x)=g(x)\\
\\
\Rightarrow \frac{1}{3}x^2-2x=x\\
\\
\Rightarrow \frac{1}{3}x^2-3x=0\\
\\
\Rightarrow x\left ( \frac{1}{3}x-3 \right )=0\\
\\
\text{now using the zero product rule, we get}\\
\\
x=0 , \text{ and } \frac{1}{3}x-3=0

\Rightarrow x=0, \text{ and }\frac{1}{3}x=3\\
\\
\Rightarrow x=0, \text{ and }x=9\\
\\
\text{so the functions intersect at x=0 and x=9.}

4 0
1 year ago
Read 2 more answers
Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks. What two
cupoosta [38]

Answer:

21 rows 2 blocks

1 row 42 blocks

Step-by-step explanation:

Given that:

Number of blocks with Annabelle = 42

First arrangement = 3 rows 14 blocks

Second arrangement = 6 rows 7 blocks

To find:

The other two factor pairs that could be used to rearrange the blocks again?

Solution:

Here, we will have to find the factor pairs of total number of blocks present with Annabelle.

i.e. 42

First of all, let us have a look at the factor pairs of 42.

42 = 3\times 14\\42 = 6\times 7\\42 = \underline{2\times 21}\\42 = \underline{1\times 42}

Therefore, the other two factor pairs can be 2, 21 and 1, 42.

The other two possible factor pairs are:

21 rows 2 blocks

1 row 42 blocks

4 0
1 year ago
The vertex of this parabola is at (-2,-3). When the x-value is -1, the y-value is -5. What is the coefficient of the squared exp
elena55 [62]

Answer:

Option C is correct

Step-by-step explanation:

Given: vertex of this parabola is at (-2,-3)

To find: coefficient of the squared expression in the parabola’s equation if the x-value is -1, the y-value is -5

Solution:

The equation of parabola is of the form y=a(x-h)^2+k

Here, a is the coefficient of the squared expression in the parabola’s equation.

Put (h,k)=(-2,-3)\,,\,(x,y)=(-1,-5)

-5=a(-1+2)^2-3\\-5+3=a(1)^2\\-2=a\\a=-2

So, the coefficient of the squared expression in the parabola’s equation is -2

6 0
1 year ago
A certain small factory employs 98 workers of these 10 recieve a wage of 150 dollars per day and the rest recieve 85.50 dollars
cricket20 [7]
10 × $150 = $1500
88 × $85.50 = $7524
1500 + 7524 = $9024 a day.
9024 × 6 = $54,144 (the answer)
Hope this helps!
4 0
1 year ago
Read 2 more answers
Which graph has the same end behavior as the graph of f(x) = –3x3 – x2 + 1?
kaheart [24]

Given equation is f(x)=-3x^3-x^2+1

We have to identify the graph that has same end behaviour as of given equation.

It seems that you have missed to attach the given graph in question. So i will explain about how to find correct graph.

Given function has highest exponent 3 so that means degree = 3

which is an odd number.

We know that graph of odd degree polynomial always starts and ends in opposite direction.

Leading coefficient of given function is -3 which is negative.

We know that when leading coefficient is negative then graph starts from top.


Hence graph of given function will start from top and go to the bottom as shown in picture.


Now any given graph which opens from up and ends in bottom will be answer.

All polynomials having odd degree and negative leading coefficient will also have similar graph.


6 0
2 years ago
Read 2 more answers
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