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3 years ago

Are the two expressions below equivalent. SHOW and EXPLAIN all your

Mathematics

1 answer:

valina [46]3 years ago

8 0

Answer:

No they're not equivalent

Step-by-step explanation:

5(x - 9) + 2x -1 -5(9 - x) - 2x

5x - 45 + 2x - 1 5x - 45 - 2x

7x + 46 does not equal 3x - 45

Explaining isnt my specialty, sorry

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At a carnival, 700 tickets were sold for a total

Diano4ka-milaya [45]

Answer:

The adult tickets are 400 and the children tickets are 300.

Step-by-step explanation:

Given:

At a carnival, 700 tickets were sold for a total amount of $5500. An adult ticket cost $10 and a children's ticket cost $5.

Now, to find the number of adult tickets and the number of children's tickets sold.

Let the number of adult tickets be $x.$

And let the number of children tickets be $y.$

So, the total number of tickets sold:

$x+y=700\\\\y=700-x\ \ \ ....(1)$

Now, the total amount of tickets:

$x(10)+y(5)=5500$

Substituting the value of $y$ from equation (1):

$x(10)+(700-x)(5)=5500\\\\10x+3500-5x=5500\\\\5x+3500=5500$

Subtracting both sides by 3500 we get:

$5x=2000$

Dividing boths sides by 5 we get:

$x=400.$

The number of adult tickets = 400.

Now, substituting the value of $x$ in equation (1) we get:

$y=700-x\\\\y=700-400\\\\y=300.$

The number of children tickets = 300.

Therefore, the adult tickets are 400 and the children tickets are 300.

8 0

3 years ago

I am confused on this is it 1/8

Oxana [17]

Yes it is 1/8.You don’t multiply the top part of the fraction,just the bottom.

6 0

3 years ago

Find the length to the third side. If necessary, round to the nearest tenth.

Nonamiya [84]

Answer:

it would be 17 if you round the answer or 17.69.

7 0

3 years ago

Please help meeee ………..

Len [333]

Answer:

x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$

Additional comment

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

$\log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5$

6 0

2 years ago

Which equation results from applying the secant and tangent segment theorem to this figure? x(x 2) = (x 4) x(x 4) = (x 2) x(x 4)

fomenos

The equation which is results from applying the secant and tangent segment theorem to the provided figure is,

$x(2x +4) = (x +2)^2$

<h3>What is secant and tangent segment theorem?</h3>

The secant-tangent theorem tells the relation of the line segment made by a tangent and the secant lines with the connected circle.

According to this theorem, if the tangent and secant segments are drawn from an exterior point, then the square of this tangent segment is equal to the product of the secant segment and the line segment from that exterior point.

The image of the given problem is attached below. In the attached image, the tangent is given as,

$T=x+2$