Sevilya bought a new computer. She had to pay 8% in sales tax. The cost of the computer is $1,000. How much did she pay in total? Show all work

The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

Given that,

Graph of the equation of the line shown in the image.

Use the formula,

The equation of a line in point-slope form passing through the points

[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Let us take two points on the graph, which are (4, 1) and (0, 2).

Here, [tex](x_1 , y_1) = (4, 1)[/tex]

And,  [tex](x_2 , y_2)= (0, 2)[/tex]

So, the slope of the line is,

[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]

[tex]m = \frac{1}{- 4}[/tex]

[tex]m = \frac{-1}{4}[/tex]

Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

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Answer:

Step-by-step explanation:

Answer:

solution given:

(3a^2b) /(5ac) x (10c) /(6ab)

[tex] \frac{3a {}^{2}b }{5ac} \times \frac{10c}{6ab} \\ \frac{3ab \times 10c}{5c \times 6ab} \\ \frac{2}{2} \\ 1[/tex]

1 is your answer

Answer:

5m + 8

Step-by-step explanation:

Dividing by 3 is the same as multiplying by 1/3.

1/3 (15m + 24)

Distribute the 1/3

1/3 * 15m = 5m

1/3 * 24 = 8

5m + 8

Answer:

The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

a40 = 10

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of a sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

1/4,1/2

This means that:

[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]

1/4

This means that [tex]a_1 = \frac{1}{4}[/tex]

The nth term is:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

Then find a40.

[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]

So

a40 = 10

Answer:

The family spends 41/60 of its income on these items altogether.

Step-by-step explanation:

Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:

10, 4, 5, and 15 have a common least multiple at 60.

1/10 = 6/60

1/4 = 15/60

1/5 = 12/60

2/15 = 8/60

6 + 15 + 12 + 8 = 41

Therefore, the family spends 41/60 of its income on these items altogether.

Answer:

You should turn 225 degrees anti-clockwise to face North.

the Equation A. r²+ y² = 5 degenerate the circle.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Only option A, r²+ y² = 5

Satisfies the general equation of the line,

thus, From option A the coordinates of the circle on the plane r-y

is (0, 0) and the radius of the circle will be √5.

From option B,  x+y=7

It is the equation of the line.

From option C, x² + y² = -2

The sum of two squares can not be negative so it is not a real equation

From equation D, (x - 5)²+(y - 3)² = 0

The radius of a circle can not be zero otherwise it will become a point.

therefore, the Equation A. r²+ y² = 5 degenerate the circle.

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Complete question:

Which of the following is a degenerate circle?

O A. r²+ y² = 5

O B. x+y=7

O c. x² + y² = -2

O d. (x - 5)²+(y - 3)² = 0

Answer:

59m

Step-by-step explanation:

Length= 3 × ( width)

But perimeter= 2width + 2 Lenght= 472

Let length= X

Width= Y

X= 3Y.........eqn(1)

2X + 2Y= 472........eqn(2)

Substitute X= 3Y in eqn(2)

2(3Y) + 2Y = 472

6Y + 2Y= 472

8Y= 472

Y= 59 m

Hence, the width of the pool is 59 m

Answer:

44x + 54

Step-by-step explanation:

The nth term of an arithmetic sequence is given by :

Tn = a + (n - 1)d

d = common difference = T2 - T1

d = T2 - T1

a = first term = - x + 9

d = 4x + 14 - (-x + 9)

d = 4x + 14 + x - 9

d = 5x + 5

The 10th term:

T(10) = (-x + 9) + (10 - 1)*(5x + 5)

T(10) = - x + 9 + 9(5x + 5)

T(10) = - x + 9 + 45x + 45

T(10) = 44x + 54

Hence, the 10th term is 44x + 54

Answer:

10

Step-by-step explanation:

Answer:

$66.03 in total.

Step-by-step explanation:

$66.03 because 6.5% is 0.065 and $62.00 times 0.065 equals $4.03. $62.00 plus $4.03 is $66.03.

Answer:

Formula

Step-by-step explanation:

Answer:

formula because it gives you the number and tells you what to do.

Answer:

Step-by-step explanation:

The route makes a right triangle with legs 3 mi and 4 mi, and the hypotenuse of x mi.

Use Pythagorean to find the distance:

Vector Review Practice Answers:

1. B - initial (14,-5); terminal (0,0)

2. A - sqrt(22^2 + 4^2)

3. B - <4,12>

4. D - Yes, the two vectors have the same magnitude and direction.

5. D - Vectors u and v are neither because the angle between the two vectors is not equal to 0 degrees, 90 degrees, or 180 degrees

6. C - approximately 4 mi. at a direction angle of 56 degrees northeast

7. A - approximately 174 mph at a direction angle of 58 degrees northeast

8. A - -200

9. D - W = 59 ft*lbs

10. C - u = 4/5i - 3/5j

Answer:

Step-by-step explanation:

T-Ball 52%                   Soccer 48%               Basketball 35%

Answer:

54  

Step-by-step explanation:

216 - 3x = 324 -5x

subtract 216 from both sides

add 5x to both sides

divide both sides by 2x.

Hi there! :)

Answer:

4/7 times 35, minus 8.5 is no more than 11.5

The number is : 35

Step-by-step explanation:

Let's replace "a number" by the letter "x" because that's what we are looking for.

4/7 × x = 4/7x

4/7x MINUS 8.5 = 4/7x - 8.5

The expression "no more than" is represented by this sign: ≤

"No more than" can also be "less than or equal to".

The final inequality should look like this:

4/7x - 8.5 ≤ 11.5

Now all you need to do is solve the inequality by isolating "x":

4/7x - 8.5 ≤ 11.5

Add 8.5 to each side of the inequality → 11.5 + 8.5 = 20

4/7x ≤ 20

Divide each side of the inequality by "4/7" → 20 ÷ 4/7 = 35

x ≤ 35

There you go! I really hope this helped if there's anything just let me know! :)

Answer:

A =  225 π  c m [tex]x^{2}[/tex]

Step-by-step explanation:

the area of a circle formula with radius  

A  =  π r[tex]x^{2}[/tex]  

in this case

A = π ×  15[tex]x^{2}[/tex]  

A  =  225 π  c m[tex]x^{2}[/tex]

Answer:

Step-by-step explanation:

Area of a circle = π r²        you are given the r  radius =  15cm

   area = π 15² cm

Answer:

x = 13

Step-by-step explanation:

3x + 4x-1 +90 = 180

7x = 91

x = 13

Answer:

Q (0,1) H (3,5) J (5,3)

Step-by-step explanation:

Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.

(x,y) becomes (-x,-y).

So, (0, -1) becomes (0,1).

(-3,-5) becomes (3,5).

And, (-5, -3) becomes (5,3).

Answer: Here you go, hope this helps.

Step-by-step explanation:

Answer:

B(-1/2)

Step-by-step explanation:

So remember, the slope is y2-y1/x2/x1. Note that y2 means the second y adn x2 means the second x.

So lets plug in our numbers for the top of our fraction, y2-y1. This is 0- - 2.

You should get postive 2, since -- equals a + so it would be 0+2 equaling 2.

This is your y value of your slope.

Next lets find the x value of the slope.

Lets plug in our numbers for the bottem raction this time, which is x2-x1. This is 1-5.

You should get negative 4, since 1-5 equals -4.

This is the x value of the slope.

Knowing your y and x value of the slope, we can tell that the slope will be:

2/-4

This can be simplyfied to -1/2. Since 2 goes into 2, 1 time(for y). Then 2 goes into -4, -2 times(for x). So now its 1/-2.

The negative sign can just be moved to the front since it is the only negative and does not change:

Answer:

-1/2

Answer:

$90

Step-by-step explanation:

Given data

Given data

Loss= $13.5

Percentage of the loss= 15%

Let the full loss be x

Hence we can find the value of x as

15/100*x= 13.5

0.15x= 13.5

divide both sides by x

x= 13.5/0.15

x= $90

Hence the loss in full is $90

Answer:

7/100

Step-by-step explanation:

two decimal places so 100

Answer:

No, Pythagorean Theorem can't be used here for finding the missing sides of the triangle.

Because Pythagorean Theorem is used in triangles having one of its sides right angled but here in the diagram non of the sides of the triangle are right angled .

Answer:

NO

Because pythagorean Theorem is used to find the missing side in the triangle if the other sides are there

Answer:

[tex] 40 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]

[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]

[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]

[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]

[tex] = \dfrac{81}{2} [/tex]

[tex] = 40 \frac{1}{2} [/tex]

Answer:

4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5

Hope this helps!

Answer:

the second graph (c)

Step-by-step explanation:

The curve is passing through (0, 2) and (0, -3). Then the correct option is B.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The zeroes of the polynomial function are 2 and -3.

The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.

The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).

Thus, the correct option is B.

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Answer:

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level.

The confidence interval of mean

=32.9 ± 1.96 × 6.9/250

Confidence Interval = 32.9 ± 0.5382

Answer:

5.54 in tax

Step-by-step explanation:

63 x .088=5.54

9514 1404 393

Answer:

  -10

Step-by-step explanation:

The first step is to write what you mean. We think you mean (-1000)^(1/3).

If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...

  -1000 = (-10)^3

Then your expression is ...

  (-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10

__

Some calculators can evaluate this for you (see attached).

Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:

  (-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10

_____

Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.

Answer:

hexagon

Step-by-step explanation: