Santiago buys a new television for $989.76. If
the sales tax rate is 8.75%, what is the total cost
of the television?

Answer: the answer is 375.5906

Step-by-step explanation:

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Explanation:

Consider an example like 3, 6, 12, 24, 48, ...

The ratio between consecutive terms is

Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.

As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.

An example with r being negative would be something like

1, -1, 1, -1, 1, -1, ....

we just bounce back and forth between those two values. In this case, r = -1.

Answer:

Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.

Step-by-step explanation:

Dado que Luis, Pedro y Ernesto fueron a comer pizza, y entre Luis y Ernesto comieron el doble que Pedro, y Pedro comió el doble que Ernesto, y entre los 3 se comieron una pizza, para determinar qué porción se comió cada uno se debe realizar el siguiente cálculo:  

L + P + E = 1

L + E = 2P

P = 2E

L + E = 4E

L = 4E - E

L = 3E

3E + 2E + E = 1

6E = 1

E = 1/6

E = 0.166

P = 0.166 x 2

P = 0.333

L = 0.166 x 3  

L = 0.5  

L = 1/2

Por lo tanto, Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.

Answer:

Hello! answer: 113.04

Step-by-step explanation:

It looks like you already selected the correct answer! What you do to find it is radius squared × 3.14 so

6 × 6 = 36 36 × 3.14 = 113.04 therefore that is the answer Hope that helps!

Answer:

20

Step-by-step explanation:

Do 15 divided by 0.75

Answer:

y = 1/3x - 17/3

Step-by-step explanation:

Given:

Passes through (2, -5)

m = 1/3

Slope-intercept:

y - y1 = m(x - x1)

y - (-5) = 1/3(x - 2)

y + 5 = 1/3x - 2/3

y = 1/3x - 17/3

Answer:

use waymath but type it the other way around

Step-by-step explanation:

Answer:

1) it's a circle, (4x + 12)² + (2y - 2)² = 64

2) it's a circle, (x + 4)² + (y - 3)² = 40

3) it's a parabola, (x + 3)² = -4(y - 1)

Step-by-step explanation:

Equation of a circle: (x - h)² + (y - k)² = r²

factorize the equation:

1) => 16x² + 96x + 144 + 4y² - 8y + 4 + 84 = 144 + 4

=> (4x + 12)² + (2y - 2)² = -84 + 144 + 4

=> (4x + 12)² + (2y - 2)² = 64 (equation of the circle)

Graph the circle using the radius and the center.(& compass for drawing circles)

=>(4x - (-12))² + (2y - 2)² = 8²

    (x  -   h   )² +  (y   - k)² = r²

Center: (h, k)  => (-12, 2)

Radius: √r²   => √64 = 8

2) => x² + 8x + 16 + y² - 6y + 9 - 15 = 16 + 9

=> (x + 4)² + (y - 3)² = 15 + 16 + 9

=> (x + 4)² + (y - 3)² = 40 (equation of the circle)

Graph the circle using the radius and the center.(& compass for drawing circles)

=> (x  - (-4)  )² +  (y - 3)² = 40

    (x  -   h   )² +  (y  - k)² = r²

Center: (h, k)  => (-4, 3)

Radius: √r²   => √40 ≈ 6.32

Equation of a parabola facing down: (x - h)² = 4a(y - k)

3) => x + 6x + 9 = -4y - 5 + 9

=> (x + 3)² = -4y + 4

=> (x + 3)² = -4(y - 1) (equation of the parabola)

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

=> (x - (-3))² = 4 × -1(y - 1)

    (x -  h  )² = 4 ×  a(y - k)

Vertex: (h, k)  =>  (−3,  1)

Focus:  (h, k + a)  => (-3, 1 + (-1)) => (−3,  0)

Axis of Symmetry:  x = h  => x  =  −3

Directrix:  y = k - a  => y = 1 - (-1) => y  =  2

x     |    y

−5    |   0

−4    |   3/4  

−3    |    1    

−2    |  3/4

−1     |    0

(graphs in the pictures below)

Answer:

okay

i am not sure the answer but hi i am ok

Answer:

Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.

Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .

Let the fraction be  

Since the numerator of a given fraction is 4 less than its denominator we have,

Numerator=Denominator-4

⇒ a=b-4

Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have

4(a-3)=1(b+5)

4a-12=b+5

4a-b=17

4(b-4)-b=17   ( ∵ a=b-4)

4b-16-b=17

3b=17+16

3b=33

⇒ b=11

Now put b=11 in a=b-4 we get

a=11-4

⇒  the fraction is a/b=7/11

Answer:

Morgan (17.06 secs)

Step-by-step explanation:

Jackie, morgan, Kylie and chung ran the 100 meter dash race

Jackie finished the race in 17.6 secs

Morgan finished the race in 17.06 secs

Kylie finished the race in 17.66 secs

Chung finished the race in 17.066 secs

Hence Morgan finished the race in the least amount of time in 17.06 seconds

Step-by-step explanation:

the systems have no solution

the lines are parallel each other

graph as attached

Answer:

I guess d is the answer . cause the sum of a number (a number added to something) represented by a variable is added to twelve

Answer:

118°

Step-by-step explanation:

Don't think the answer is 62° this time both 118° and angle x are congruent.

What do I mean by that? Both angles measure the exact same thing.

The only difference is their line length (n) and (m).

Answer:

800

Step-by-step explanation:

Answer:

the answer in the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

use formula,

area of circle=π(r)^2

=3.14*(14)^2

=3.14*196

=615.44 millimeters

Answer:

5 dogs

1 1/4 cups per bottle

Step-by-step explanation:

10/3 ÷ 2/3 get solved by 10/3 x 3/2, which gives you 30/6 or 5

45/8 ÷ 9/2 is 45/8 x 2/9 which is 5/4 or 1 1/4

Answer:

Step-by-step explanation:

There are a couple of things to know before we set up the table for this problem. First, we need to remember that if the boat is traveling against the current, that the current is going to slow the boat down; likewise, going with the current will speed the boat up. Second, we need to realize that if the boat's distance against the current is the same as the distance with the current, then the distances in the equations will be set equal to one another.

Set up the table with U (against the current) and D (with the current) on the outside and fill in what we are given:

                      d           =           r            x            t

U    

D

This is the table. Now we will fill it in:

                     d           =           r              x            t

U                                         r - 3             x            3

D                                         r + 3             x           1.8

The formula for the distance equation is at the top of the table as d = rt. We already decided that the distances that the boat traveled upstream and downstream were the same so we will set those d values equal to each other, but we first need to get the d value for each row. If distance = rate times time, then for the first row:

d = (r - 3)3 and

d = 3r - 9. For the second row:

d = (r + 3)1.8 and

d = 1.8r + 5.4. Setting them equal to each other:

3r - 9 = 1.8r + 5.4 and

1.2r = 14.4 so

r = 12 mph

Answer:

x=3 y=2

Step-by-step explanation:

Step one:

Add both equation

2x+3y=12

+ 15x-3y=39

___________

17x=51

x=3

Step 2: After finding the answer for x, plug it into the first equation to find the value of y

2(3)+3y=12

6+3y=12

3y=6

y=2

Answer: -2x^6+x^5-x^3-2+2x^2 Hope that helps!

Step-by-step explanation:  

1. Remove Parentheses x^6-2x^5-x^3-7-3x^6+3x^5+2x^2+5

2. Collect like terms (x^6-3x^6)+(-2x^5+3x^5)-x^3+(-7+5)+2x^2

3. Simplify and your answer would be -2x^6+x^5-x^3-2+2x^2

==================================

Work Shown:

L = 5 = length

W = 2 = width

H = 1.7 = height

V = volume

V = L*W*H

V = 5*2*1.7

V = 17 cubic units

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

A^2 + B^2 = C^2

1^1 + y^2 = 3^3

1 + y^2 = 9

y^2 = 8

y = [tex]2\sqrt{2}[/tex]

Answer:

-9

Step-by-step explanation:

In a linear equation like this, the first number is the slope and the last number is the y-intercept

Answer:

x = 11

Step-by-step explanation:

First you isolate the 3x to one side by adding 8 to both sides, this then gives us the equation 3x = 33, then you divide 33/3 which equals 11

Answer: y=7

Step-by-step explanation:

Using the formula: (y - y1) = 0 (x - x1)

Substitute x1 with -2, and y1 with 7 and set the slope as 0.

Y-7=0(x-(-2))

Y - 7 = 0 (x + 2)

Anything times 0 = 0, so cancel out the -2.

Y-7=0

Add the 7 to the 0.

Y = 7

Answer:

50%

Step-by-step explanation:

          1 whole = 100%

1/2 of a whole = 1/2 × 100%

                       = 50%

Answer:

6

Step-by-step explanation:

In y=mx+b, m is the slope. 6 is in the place of m so 6 is the slope

Answer:

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

Step-by-step explanation:

Here is the complete question. Please find attached a diagram showing the scaled and real drawing

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long

C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long

D. side a is 175 inches long,side b is 150 inches long, and side c is inches long

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

The scaled drawing is an enlarged image of the original triangle.

It is enlarged at a ratio of 5:1

original dimensions

a = 35/5 = 7

b = 30 / 5 = 6

c = 15/5 = 3

Answer:

A. by 3 percent

B. by 3 percent

Answer:

A) 75% increase

B)42.8571% decrease

Step-by-step explanation:

The formula to do this is to subrtact the final value-starting value then divide by the starting value and finaly multiply by hundred

it should look like this

[tex]\frac{finalvalue-starting value}{starting value} *100[/tex]