A television sells for $550. Instead of paying the total amount at the time of the purchase, the same television can be
bought by paying $200 down and $50 a month for 14 months. How much is saved by paying the total amount at the
time of the purchase?

Step-by-step explanation:

you mean the slope of the line between (8, 9) and (23, 9).

we can see that right away, as the y value does not change. it means it is a flat line, and that means the slope is 0.

now, formally :

the slope of a line is (y coordinate change / x coordinate change) when going from one point on the line to another.

the direction does not matter, but once we pick one for the comparison of one coordinate, we have to use the same direction also for the other.

I prefer to go from left to right.

so, from (8, 9) to (23, 9).

x changes by +15 (from 8 to 23).

y changes by 0 (from 9 to 9).

the slope is therefore 0/+15 = 0.

Answer:

n = 7

Step-by-step explanation:

You will want to add all common factors with each other.

So that would be n + 3n + 5n which would be 9n.

Then -8 + 1 would be -7. So now it should be 9n - 7.

You are going to set 56 equal to 9n - 7, so that would be 9n - 7 = 56.

After that, you will have to leave 9n alone by itself, so you would have to add 7 to both sides. Your final equation should be 9n = 63.

After that, you should divide both sides by 9 since you want n alone.

So 63 ÷ 9 would be 7. So at the end, n = 7.

The Rate of the change of position per second is 23 feet.

According to the statement

We have to find that the rate of the change of the position in the sea level.

So, For this purpose, we know that the

Rate of change is used to mathematically describe the percentage change in value over a defined period of time

From the given information:

She begins 133 feet below sea level.

After descending for 4 seconds, she's 225 feet below sea level.

Then

Rate of the change of position is = final position - initial position / time

Rate of the change of position is = 225 - 133 / 4

Rate of the change of position is = 92 / 4

Rate of the change of position is = 23.

So, The Rate of the change of position per second is 23 feet.

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Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

Step-by-step explanation:

(e)

because BCDF is a parallelogram, it means that F D = B C = 4.

and F B = D C = 6.

because EDCF is a parallelogram, it means that D C = E F = 6.

that means that E F = F B = 6, so the diagonal E B of ABDE is intersected by the other diagonal A D in the middle at F.

because ABCF is a parallelogram, it means that A F = B C = 4.

that means that A F = F D = 4, so, also the diagonal A D of ABDE is intersected by the other diagonal E B in the middle at F.

when 2 line segments E B and A D intersect each other that way, that makes them the diagonals of a parallelogram.

therefore, ABDE is a parallelogram.

Answer:

Step-by-step explanation:

1. 65,700. 65,740 65,743 65,743.2 65,743.18

2. 0 20 20. 19.7 19.74
3. 8,500. 8,460. 8,456 8,456.2 8,456.19

4. 300. 320. 318 318.3 318.28

Answer: True :)

Step-by-step explanation:

The length of XY is 4, the length of ZW is 6 and the lengths are not congruent

The coordinates of the points are given as:

X, Y, Z, and W = -8, -4, 3, and 9,

The above means that

XY = |Y - X|

ZW = |W - Z|

So, we have

XY = |-4 + 8| = 4

ZW = |9 - 3| = 6

Hence, the length of XY is 4, the length of ZW is 6 and the lengths are not congruent

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Step-by-step explanation:

Technically what you have to do is find what changed in the table charts

find the difference between the output values

find the difference between the input values

then calculate the ratio between the change in the Y and X values

Answer:

Its answer is -4..............

Answer:

Your answer is -4

Step-by-step explanation:

[tex]5 - (x - 2) { \\ }^{2} [/tex]

where x = -1

Therefore, p(-1) = 5 - ( (-1) - 2 )²

= 5 - (-3)²

= 5 - 9

= -4

Step-by-step explanation:

ok, let's try this again. we need to explain congruence then in its details as an implicit part of the proof, as everything boils down to that.

due to AE = FC we also know that ED = BF.

because as ABCD is a parallelogram, it means AD = BC (and AB = DC).

and AD || BC, AB || DC.

as AD = AE + ED and BC = BF + FC, it means that

AE + ED = BF + FC

with AE = FC we can then simplify to

ED = BF.

as AD || BC, so is also ED || BF.

since the distance from E to D is the same as for B to F, it means that EB and DF must be equidistant to each other, and that means they are parallel.

and because ED || BF, that also means that both line segments are equidistant from each other, and that means that the connections between their end points (EB and DF) must have the same lengths.

therefore, the shape is a quadrilateral with 2 pairs of parallel and equally long line segments. and that is the definition of a parallelogram.

so, BEDF is a parallelogram.

Answer:

Y=2x-1

Step-by-step explanation:

(0,-1) parallel to y=2x + 4

parallel means the slope is the same (i.e m=2)

general equation would be

y=2x+k

now (0,-1) belongs to line where x=0 and y= -1

-1 =2(0)+k

-1 = k

hence k is -1

the equation is y=2x-1

Answer:

-7

Step-by-step explanation:

To add a positive number, 5, and a negative number, -12, take the absolute value of both numbers.

You get 5 and 12.

Subtract the smaller absolute value from the larger absolute value.

12 - 5 = 7

The sign of the answer is the same sign as the number that has the larger absolute value. The absolute of 5 is 5. The absolute value of -12 is 12. -12 has the larger absolute value, and -12 is negative, so the answer is negative.

5 + (-12) = -7

Answer:

about 3103

Step-by-step explanation:

The height of the ball according to the function h(t) is 16 feet after 1.92 seconds and after 0.46 seconds.

A function is defined as a expression containing one or more variables.

Technically speaking, a function is a means of linking a set of inputs to a set of outputs.

The height of the ball  at any time t is given by the function:

[tex]h(t)=-16t^2+38t+2[/tex]

Now the required height of the ball(in feet) is 16 feet. We have to find the value of t for which h(t)=16.

Let us substitute the values:

[tex]\implies h(t)=-16t^2+38t+2\\\implies 16=-16t^2+38t+2\\\implies 16t^2-38t+14=0\\\implies 8t^2-19t+7=0[/tex]

This is in the form of a quadratic equation in t.

Solving by using the quadratic formula:

We know that for a quadratic equation [tex]ax^2+bx+c=0[/tex]

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Therefore for the above quadratic equation:

[tex]t=\frac{-(-19)\pm \sqrt{(-19)^2-4(8)(7)}}{2(8)}\\t=\frac{19+\sqrt{137}}{8},t=\frac{19-\sqrt{137}}{8}\\t=1.919...,t=0.455...[/tex]

Therefore the ball reaches the height of 16 feet at times 1.92 seconds and at 0.46 seconds.

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Answer:

9 9 years 9999999999999

A straight line that divides a given angle between two equal angles is referred to as an angle bisector. The following are the steps to constructing a bisector of angle BAC:

Construction with a straightedge and a set of compasses is a method for constructing lengths, angles, and other geometrical figures. It is also known as ruler-and-compass construction or classical construction.

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Answer:

5

Step-by-step explanation:

Hop the spaces from 1 until you reach to 6 and you get 5 hops

Answer:

. Onusko made 60 cookies for a bake sale. She sold 2/3 of them and gave 3/4 of the remaining cookies to the students working at the sale. How many

Considering the definition of perpendicular line, you obtain:

1) the equation of perpendicular line is y= -5x + 7.

2) the equation of perpendicular line is y= 7x + 54.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  1/5. So:

1/5× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (1/5)

slope perpendicular line= -5

So, the perpendicular line has a form of: y= -5x + b

The line passes through the point (2,-3). Replacing in the expression for perpendicular line:

-3= -5× (2) + b

-3= -10 + b

-3 +10 = b

7= b

Finally, the equation of perpendicular line is y= -5x + 7.

In this case, the line is x +7y -12= 0. Expressed in the form y = mx + b, you get:

7y= -x +12

y= (-x + 12)÷ 7

y= -1/7x +12/7

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -1/7. So:

-1/7× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-1/7)

slope perpendicular line= 7

So, the perpendicular line has a form of: y= 7x + b

The line passes through the point (5,-9). Replacing in the expression for perpendicular line:

-9= 7× (-9) + b

-9= -63 + b

-9 + 63 = b

54= b

Finally, the equation of perpendicular line is y= 7x + 54.

In summary, you obtain:

1) the equation of perpendicular line is y= -5x + 7.

2) the equation of perpendicular line is y= 7x + 54.

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Answer: 6.83

Step-by-step explanation: 34.18 - 6.86 = 27.32 /4 = 6.83

Answer:

2+[tex]x^{2}[/tex]

Step-by-step explanation:

Converted from word to standard form.

The cyclist cover 200 kilometer in 5 hours and his speed in miles are  25 miles per hour.

According to the statement

We have to find that the speed of the cyclist.

So, For this purpose, we know that the

Speed is the time rate at which an object is moving along a path

From the given information:

A cyclist his bike at a speed of 40 kilometers per hour

Then

The distance he covered in 5 hours = 40*5

The distance he covered in 5 hours = 200.

And then

The speed in miles :

We have given that the  1 mile is equal to 1.6 kilometers

Then

If he covers a 40 kilometers in a hour then

in miles it becomes = 40/1.6

In other words,

Speed in miles = 40/1.6

Speed in miles = 25 miles per hour.

So, The cyclist cover 200 kilometer in 5 hours and his speed in miles are  25 miles per hour.

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Answer:

7.5 batches

Step-by-step explanation:

if he uses 0.6kg of sugar per 2 batches, it's 0.3kg per batch.

2.25kg would let us make

2.25kg / 0.3kg = 2.25 / 0.3 = 7.5 batches

According to the model, Leo's initial deposit was $0

The model is given as

a = 18t + 5

When he makes his initial deposit, the value of t is

t = 0

i.e. this represents his balance before he starts saving on a weekly basis

Substitute 0 for t in the equation a = 18t + 5

So, we have

a = 18 * 0 + 5

Evaluate

a = 5

Hence, Leo's initial deposit was $0

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The real number whose sum and product are both 12 area 1.101 and 11.899

Let first number be  " x "

Let other number be " 12 - x "

According to the question the product of two numbers is 12 which is given by         x(12 - x) = 12

                        12x - x² = 12

                         x²- 12x + 12 = 0

Using quadratic formula , we get

Put a = 1 , b = -12 , c = 12 in equation (1) , we get

                      [tex]\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(12)} }{2(1)} \\\\\frac{12\pm\sqrt{144-48} }{2} \\\\\frac{12\pm\sqrt{96} }{2} \\\\\frac{12\pm9.79 }{2} \\\\[/tex]

Two numbers are 12 + 9.79 / 2 = 1.10 and 12 - 9.79/2 = 10.89

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Answer: $0.33 per cup

15.84/3 to find the price per 1 gallon.

15.84/3 = 5.28 per gallon

There are 16 cups in a gallon, so divide the price of a single gallon by 16.

5.28/16 = price per cup

5.28/16 = .33

The price for each cup of bleach is $0.33.

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Answer:

2.5

Step-by-step explanation:

Mu choices are 2.5 or 2.6 .

2.53 would be closer to 2.5 than to 2.6

The distances would be

2.50, 2.51. 2.52, 2.53, 254. 2.55, 2.56, 2.57, 2.58, 2.59, 2.60

Another name for 2.5 would be2.50 and another name for 2.6 would be 2.60.  Do you see from the list above that 2.53 would be closer to 2.50 than 2.60