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2 years ago

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Mathematics

1 answer:

Leona [35]2 years ago

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The answer to the question

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Giving brainliest and max rating.

Yanka [14]

Given:

The cost of each carnival ticket is $5.

To find:

The equation, table of values and graph for the given problem.

Solution:

Let x be the number of tickets and y be the total money spent on tickets.

Cost of one ticket = $5

Cost of x tickets = $5x

So, total cost is

$y=5x$

The required equation is $y=5x$ .

At x=1,

$y=5(1)$

$y=5$

At x=2,

$y=5(2)$

$y=10$

At x=3,

$y=5(3)$

$y=15$

The required table of values is

x y

1 5

2 10

3 15

So, the required table of values is table A.

From the above table, it is clear that the graph passes through the point (1,5), (2,10) and (3,15). The graph B passes through these points.

So, the required graph is graph B.

Since the required answers are $y=5x$ , table A, graph B, therefore the correct option is B.

8 0

2 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

A bag contains a mixture of identical coloured balls.

Amiraneli [1.4K]

Answer:

72 yellow balls

Step-by-step explanation:

80% of 90 is (0.80*90) = 72 yellow balls.

5 0

2 years ago

Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc

xxTIMURxx [149]

Answer:

a. p(x<= 5) = .15 + .4 + .25 = .8

C. .4(4.2) = 1.68

5.4(1-.4) = 3.24

3.24 + 1.68 = 4.92 ,, 4.92 > 4.55 so short is better

Step-by-step explanation:

8 0

3 years ago

What are the points for a 90 degree rotation counterclockwise about the origin

natulia [17]

Answer:

I think the answer is 180 degree angle

8 0

2 years ago