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LenaWriter [7]
3 years ago
11

X-2/3= 6 1/3 what is the answer??????????

Mathematics
1 answer:
vichka [17]3 years ago
4 0

For this case we must find the solution of the following equation:

x- \frac {2} {3} = 6 \frac {1} {3}

Rewriting the mixed number in the form of improper fraction we have:

x- \frac {2} {3} = \frac {3 * 6 + 1} {3}\\x- \frac {2} {3} = \frac {19} {3}

Add \frac {2} {3} to both sides of the equation:

x = \frac {19} {3} + \frac {2} {3}

We add the fractions with the same denominator:

x = \frac {19 + 2} {3}\\x = \frac {21} {3}\\x = 7

So, the solution is x = 7

Answer:

x = 7

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1+secA/sec A = sin^2 A / 1-cos A​
Fofino [41]

Answer:  see proof below

<u>Step-by-step explanation:</u>

\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}

\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}

\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}

\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}

\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}

\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark

3 0
3 years ago
Complete the steps to find the value of x
vampirchik [111]
72, 96, 84, 12

72 + (7x+24) = 180
7x + 96 = 180
7x = 84
x = 12
3 0
3 years ago
Olivia is 48 inches tall, and 2/3 as tall as her brother Cameron. In inches, how tall is Cameron?
KengaRu [80]

Cameron is 72 inches tall.

48 x 3/2= 72 inches or 6 ft.

4 0
3 years ago
The table below shows the squares of different numbers:
gogolik [260]
The table in Part A represents y as a function of x. This means that the value of Y is dependent on the value of X. The table can be represented by an equation that describes the relation of X and Y:
y =  x^{2} or f(x) = x^{2}
By substituting any value of X, you get a specific value of Y based from the given relationship, thus Y is a function of X. 

For Part B, the value of f(150) is $470 and it represents the total cost for borrowing a rowboat for 150 hours. By substituting the value of x = 150 into the function, you get the total cost:
f(x) = 20 + 3x \\ where   \\ x = 150 \\ f(150) = 20 + 3(150) \\ f(150) =20 + 450 \\ f(150) = $ 470
4 0
3 years ago
Loan A (bank) requires a total payback of $54,289.44 while Loan B (dealership) requires a total payback of $55,098.60.
dedylja [7]

Answer: Loan B requires more interest by $809.16.

Step-by-step explanation:

Subtract the total pay back of loan B from loan A

= $55,098.60 - $54,289.44

= $809.16

I hope this helps, please mark as brainliest answer.

8 0
3 years ago
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