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Gekata [30.6K]
2 years ago
12

$14.37 for 3lb what’s the unit rate

Mathematics
2 answers:
Lorico [155]2 years ago
7 0
Answer: 4.79

Step by step explanation: to find the unit per pound you can do 14.37/3 which is 4.79

Or

You can put the given information into a ratio

3 : 14.37
1 : x

You ask yourself what must be divided by three to get an answer of one (3/1 is 3)

So, you divide the other side by three as well

14.37/3 is 4.79
Pavel [41]2 years ago
6 0

Answer:

$4.79

Step-by-step explanation:

To find the unit rate, divide the cost by the number of pounds

\frac{cost}{pounds}

In this case, the cost is 14.37, and the number of pounds is 3, so we can substitute them in.

\frac{14.37}{3}

Divide

4.79

The unit rate, or price per pound is $4.79

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A husband and wife attend the local recreation center. The husband pays a flat rate of $125 for one year, shown as f(x). The wif
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Dissecting the information:

"The husband pays a flat rate of $125 for one year" means he pays $125 irrespective of how many times he visits (x). Doesn't depend on the number of visits (x).

"The wife pays $6 per visit" means that she pays $6x, of course, being dependent on the number of visits (x).

Hence, their total cost is sum of their individual costs, $(125+6x).

Husband's cost is <em>f(x)=125, </em>wife's cost is <em>g(x)=6x, </em>and total cost is <em>h(x)=125+6x. </em>Option D is correct answer.

ANSWER: D

6 0
3 years ago
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For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you subs
tatiyna
-x-2y=-4 \\ 3x+y=12 \\ \\ \hbox{the first equation:} \\ -x-2y=-4 \ \ \ \ \ \ |+2y \\ -x=2y-4 \ \ \ \ \ \ \ \ |\times (-1) \\ x=-2y+4

The expression you would substitute for x is -2y+4. The answer is d.
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3 years ago
Blake has 864 square inches of material with which to create a hollow three-dimensional container. He decides to make either a c
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Answer:

I think it's a cube, because the cube has bigger spaces because of the edges, but I don't know how much...

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Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,ax
Ivan

Given:

The function is:

f(x)=-2x^2+7x+4

To find:

Express the quadratic equation in the form of f(x)=a(x-h)^2+k, then state the minimum or maximum value,axis of symmetry and minimum or maximum point.

Solution:

The vertex form of a quadratic function is:

f(x)=a(x-h)^2+k              ...(i)

Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.

We have,

f(x)=-2x^2+7x+4

It can be written as:

f(x)=-2\left(x^2-3.5x\right)+4

Adding and subtracting square of half of coefficient of x inside the parenthesis, we get

f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4

f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4

f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4

f(x)=-2\left(x-1.75\right)^2+6.125+4

f(x)=-2\left(x-1.75\right)^2+10.125                ...(ii)

On comparing (i) and (ii), we get

a=-2,h=1.75,k=10.125

Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.

Maximum value = 10.125

Axis of symmetry : x=1.75

Maximum point = (1.75,10.125)

Therefore, the vertex form of the given function is f(x)=-2\left(x-1.75\right)^2+10.125, the maximum value is 10.125, the axis of symmetry is x=1.75 and the maximum point is (1.75,10.125).

8 0
3 years ago
Is this right
pychu [463]

Answer:

360 = x+123+ 90

x = 147

Step-by-step explanation:

The three angles form a circle which is 360 degrees

360 = x+123+ 90

Subtract 123 and 90 from each side

360 -123 - 90 = x

147 = x

6 0
3 years ago
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