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Mrrafil [7]
3 years ago
14

Find the unit rate. Round to the nearest hundredth, if necessary.$4.99 for 14 lbThe unit rate is $ /lb.

Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer: $2.81


Step-by-step explanation: I divided 14 and $4.99 and got 2.80561122244. I then rounded that number and got 2.81 for the unit rate.

Hope this helps!



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Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
3 years ago
What is the value of 4x to the third +4x if x is 4
weqwewe [10]
The correct answer of
4{x}^{2}  + 4x
if x=4 is 272.

to solve the equation if x equals 4, you must substitute the x of the 4.
4( {4}^{3} ) + 4(4)
then solve by order of operations.
solve what is inside the parentheses first
4(64) + 4(4)
then do the multiplication of the factors
256 + 16
then the final step, adding, to get the solution of 272
5 0
3 years ago
Yesterday, the price of a loaf of bread at five supermarkets was $1.44, $1.59, $1.69, $1.47, and $1.61, but today each supermark
mote1985 [20]
\frac{1.49+1.64+1.74+1.52+1.66}{5}
=\frac{8.05}{5} =1.61
3 0
3 years ago
In the triangle below, which equation can<br> be used to solve for x?
aivan3 [116]
The answer is B x=13sin75/sin50
4 0
2 years ago
Can anyone help me with 9th-grade geometry?
katovenus [111]

Answer:

See below.

Step-by-step explanation:

From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2  sets of base angles are equal.

As the base angles are congruent  m < E = m < R.

So the are  2 triangles are congruent by SAS,  ASA and AAS.

7 0
3 years ago
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