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mr Goodwill [35]

3 years ago

15

The state where you live has a 6% sales tax. If you purchase a car for $9,800, what will you pay, including tax? (this is a two-

step problem.)

1 answer:

mestny [16]3 years ago

5 0

Answer: $10,388

Step-by-step explanation:

The first step is to calculate the tax for the car:

$9,800*0.06=588$

The second step is to add the price of the car and the corresponding tax:

$9,800+588=10,388$

So, you will pay $10,388.

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I need answer Immediately pls!!!!!!

Illusion [34]

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

$n(U)=27$

$n(A)=7$

$n(B)=18$

$n(A'\cap B')=7$

We know that,

$n(A\cup B)=n(U)-n(A'\cap B')$

$n(A\cup B)=27-7$

$n(A\cup B)=20$

Now,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$20=7+18-n(A\cap B)$

$n(A\cap B)=7+18-20$

$n(A\cap B)=25-20$

$n(A\cap B)=5$

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

$\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}$

$\text{Probability}=\dfrac{5}{27}$

Therefore, the required probability is $\dfrac{5}{27}$ .

3 0

2 years ago

Solve 2x + 5y = –13. 3x – 4y = –8

disa [49]

If you would like to solve 2x + 5y = - 13 and 3x - 4y = -8, you can do this using the following steps:

<span>2x + 5y = -13 /*4
3x - 4y = -8 /*5
</span>_________________
8x + 20y = -52
15x - 20y = -40
_________________
8x + 15x + 20y - 20y = -52 - 40
23x = -92 /23
x = -92 / 23
x = -4

<span>2x + 5y = -13
</span>2 * (-4) + 5y = -13
-8 + 5y = -13
5y = -13 + 8
5y = -5
y = -1

(x, y) = (-4, -1)

The correct result would be D.) <span>(-4, -1).</span>

8 0

3 years ago

Read 2 more answers

It is greater than 43 and less then 52 if you add the digits the sum is 8

Ksenya-84 [330]

44 is the answer 4+4=8

3 0

3 years ago

Jacob distributed a survey to his fellow students asking them how many hours they spent on the Internet in the past day. He also

Anna35 [415]

The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.

Step-by-step explanation:

Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.

Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).

When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).

When y = $\frac{-1x}{2}$ + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and (3.5, 5.75).

So equation 2 has the closest values to the actaul graph.

Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.

8 0

3 years ago

HELLPPPPPPPPPPPPPPPPP

forsale [732]

Answer:

y=-1/3x-8

Step-by-step explanation:

Here is the equation for slope-intercept form: y=mx+b

Ok first, let's find the y intercept, which is equal to b in slope-intercept form.

To find the y intercept, we need to look at the y axis. It is the point where the line touches it. The graph shows that the line touches the y axis at -8, so that is the y intercept, (0, -8).

Now, from that point, we need to find the slope, which is equal to m in slope-intercept form.

To find the slope, start on the point that you are on, which should be the y intercept, and count how many spaces you need to go up or down, and then left or right until you get to any other point on the line. These are called the rise (change in y) and run (change in x) respectively. The slope is equal to the rise over the run, or rise/run.

In this case, we can choose any point on the line that is shown on the graph that isn't the y intercept. I'll chose the point on the right nearest to the y intercept. From the point we are on, which is (-8,0), we will need to move one space down and three to the right.

One space down on the y axis is -1, and three spaces to the right on the x axis is +3, so our slope will be -1/+3, which is -1/3.

Let's go back to the slope-intercept form. y=mx+b. Now we can plug our information in.

We know the y intercept is -8, which is b,

and we know the slope is -1/3, which is m.

So substituting for b and m, we get y=-1/3x-8.

6 0

2 years ago