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3 years ago

An item cost $480 before tax , and tge sales tax is $9.60

Mathematics

1 answer:

elena-s [515]3 years ago

7 0

Answer:

0.02 ; 2%

Step-by-step explanation:

Given :

Cost of item = $480

Tax amount on item = $9.60

The sales tax rate = tax amount on item / cost of item

Sales tax rate = $9.60 / $480 = 0.02

As a percentage :

0.02 * 100% = 2%

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Write the following in point-slope form using the given information: Slope: 2 points

SCORPION-xisa [38]

Answer:

$y+5 = \frac{1}{15}(x - 3)}$

Step-by-step explanation:

Given

$m = \frac{1}{15}$ -- Slope

$(x_1,y_1) = (3,-5)$ --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

$y - y_1 = m(x - x_1)$

Substitute values for y1, x1 and m

$y-(-5) = \frac{1}{15}(x - 3)}$

$y+5 = \frac{1}{15}(x - 3)}$

Hence, the equation in point slope form is:

$y+5 = \frac{1}{15}(x - 3)}$

8 0

3 years ago

At a movie theater, tickets for children cost $8 each and adult tickets cost $8.75 each. Of ticket sales for a group of 35 peopl

alexandr402 [8]

Answer:

The results don't make sense

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

"x" is the number of children's tickets

"y" is the number of adult tickets

Thus:

8 * x + 8.75 * y = 259

x + y = 35 => x = 35 - y

replacing we have:

8 * (35 - y) + 8.75 * y = 259

280 - 8 * y + 8.75 * y = 259

- 8 * y + 8.75 * y = 259 - 280

0.75 * y = -21

y = -21 / 0.75

y = -28

Thus:

x = 35 - (-28) = 63

With these results we notice that the problem has inconsistency, since the value of the tickets cannot be given a negative number, I recommend reviewing the problem, since the approach is correct.

3 0

3 years ago

F h(x) = 6 – x, what is the value of (h circle h) (10)?

insens350 [35]

Answer:

Step-by-step explanation: when h(x) = 10

h(x)= 6-x

h(10)= 6-10

=-4

6 0

3 years ago

Read 2 more answers

Plss answer!! <br>MERRY Christmas!!! <br>Critical Question. AAAAA

liberstina [14]

Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

$\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

We take left hand side of the given equation and solve it,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}$

Since, abc = 1,

$\frac{1}{c}=ab$ and c = $\frac{1}{ab}$

By substituting these values in the expression,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}$

$=\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}$

$=\frac{1+b+ab}{1+b+ab}$

$=1$

Which equal to the right hand side of the equation.

Hence, $\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

5 0

3 years ago

What's the probability of pulling two red cards in a row from a deck of cards?

monitta

Hey there! I'm happy to help!

Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.

If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.

We multiply the probabilities of these two events to find the probability of them both happening.

1/2×25/51=25/102

The probability of picking two red cards in a row is 25/102 or around 24.5%.

Have a wonderful day! :D

8 0

3 years ago