Originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. After a month, the set of dishes had not sold, so the store marked it down 50%. What was the discounted price?

Answer: 6

Step-by-step explanation:

I assume you meant to write 8xy − 9x2y − 5x + 6. The constant term in an expression is defined as a number by itself that contains no variables. Therefore, the answer is 6.

Answer:

a=12 times

b=156 times

Step-by-step explanation:

4 weeks=month

4*3=12

52 weeks=1 year

52*3=156

Therefore he goes 12 times a month, and 156 times a year.

Answer:

800n+1050

Step-by-step explanation:

800(n+1)+250 = 800n+800+250 = 800n+1050.

Hope this helps!

Good luck with your test + I hope you do well on it.

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Answer:

It is actually very simple:

Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:

[tex]49^{2} +64^{2} = c^{2}[/tex]⇔ 2401+4096 = [tex]c^{2}[/tex] ⇔ 6497 = [tex]c^{2}[/tex] ⇔ [tex]\sqrt{6497}[/tex] = [tex]\sqrt{c^{2} }[/tex] ⇔ 80,6 ≈ c

I believe this is the answer. I hope I had helped :)

Answer:

They both equal 20 when you do the butterfly method. They are all factors of 20.

Step-by-step explanation:

2/4 5/10

2x10=20

4x5=20

Answer:

no they dont form a Pythagorean triple

Step-by-step explanation:

a2 + b2 = c2

Answer:

64 ounces

Step-by-step explanation:

Since 1 lb = 16 oz, just do 4 × 16 = 64

If puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

There are 16 ounces in a pound.

1 pound= 16 ounces.

Given that puppy weighs 4 pounds.

We have to find the wight in ounces.

To convert pounds to ounces, we need to multiply the weight in pounds by 16.

The puppy weighs 4 pounds x 16 ounces/pound

= 64 ounces

Hence, if puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

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Answer:

7.96

Step-by-step explanation:

C=2πr undo it

R=C/2π=50/2×π≈7.5775 rounded is 7.96

Hope this helps!

Have a nice day!! :D

The radius of the circle is 7.96 cm.

The radius of a circle is the distance from the center of the circle to any point on its circumference. It is usually denoted by ‘R’ or ‘r’.

The circumference of the circle is given by;

[tex]\rm Circumference = 2\pi r[/tex]

Where r is the radius of the circle.

Substitute all the values in the formula

[tex]\rm Circumference = 2\pi r\\\\50 = 2\pi r\\\\r = \dfrac{50}{2\times 3.14}\\\\r=7.96[/tex]

Hence, the radius of the circle is 7.96 cm.

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teddy bears = 80

hope it helps..!!!

Answer:

x = 1, 3

Explanation:

[tex]\sf f(x)=x^2-4x+3[/tex]

[tex]\rightarrow \sf x^2-4x+3=0[/tex]

[tex]\rightarrow \sf x^2-3x-x+3=0[/tex]

[tex]\rightarrow \sf x(x-3)-1(x-3)=0[/tex]

[tex]\rightarrow \sf (x-1)(x-3)=0[/tex]

[tex]\rightarrow \sf x-1=0, \ x-3=0[/tex]

[tex]\rightarrow \sf x=1, \ x=3[/tex]

Thus, there are two solutions and the values are 1 and 3

Let's see

[tex]\\ \rm\rightarrowtail f(x)=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-4x+3=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-3x-x+3=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-3)-1(x-3)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(x-3)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1,3[/tex]

The thermometer is a device that is used to measure the temperature gradient. Anders needs to set the boiling point of water at 100° C.

The thermometer is a device that is used to measure the temperature gradient or the temperature of a body/object.

The boiling point of water is 100°C, therefore, Anders needs to set the boiling point of water at 100° C.

Thus, Anders needs to set the boiling point of water at 100° C.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

for the trip restaurant to the bus stop he had to go 2 blocks down and 3 blocks to the left - in total 5 blocks.

for the trip from the bus stop to the stadium he had to go 3 blocks to the left and then 8 blocks up. in total 11 blocks.

so, the whole trip took 5 + 11 = 16 blocks.

The statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity

If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.

For the considered case, the function is:

[tex]f(x) = \dfrac{2x}{1-x^2}[/tex]

The missing options are:

So we need to find the limit of the function as x approaches infinity.

[tex]lim_{x\rightarrow \infty}f(x) = lim_{x\rightarrow \infty}\dfrac{2x}{1-x^2} = lim_{x\rightarrow \infty}\dfrac{2x/x^2}{1/x^2 - 1} = lim_{x\rightarrow \infty}\dfrac{2/x}{1/x^2 - 1}\\\\lim_{x\rightarrow \infty}f(x) = \dfrac{lim_{x\rightarrow \infty}(2/x^2)}{lim_{x\rightarrow \infty}(1/x^2 - 1)} = \dfrac{0}{0-1} = \dfrac{0}{-1} = 0[/tex]

Since the value of the function approaches 0 as x approaches infinity, so as its graph will do.

Thus, the statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity

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The distance I can see from the  top of the sears tower in Chicago is 46.41 mi.

The equation for direct proportionality = y = b√x

where:

b = y /√x

41 / √1135

b = 1.217

y = 1.217√1454

y = 46.41 mi

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Answer:

A= 130

B= 25

Step-by-step explanation:

A is 130 because the amount of degrees that are in a triangle is 180 degrees. From that we can substract 25 from 180 and get 155.

Since B is congruent with 25, B is also 25 degrees. Therefore, A is 130 because 180 - 50 is 130.

Hope this helps.

Answer:

y = (2/15) x -(117/15)

Step-by-step explanation:

To write the equation we should know the slope m and the y-intercept b .

m= (y2-y1)/(x2-x1)

For points (x1 = -9, y1 = -9) and (x2 = 6, y2 = -7)

m = (-7 - - 9)/(6 - - 9) = (-7 + 9)/(6 +9) = 2 / 15

The general equation of a line is

y= mx + b

Our equation is

y = (2/15) x +b

To find b, substitute one of the two points, we know are on the line, in our equation. For example, we can substitute point (-9,-9)

-9 = (2/15) (-9) +b , multiply -9 by 2/15

-9 = - (18/15) +b, add -18/15 on both sides

-9 + (18/15) = b, find common denominator and add

[(-9 ·15) +18]/15 = b , simplify

-117/15 = b

So our equation is:

y = (2/15) x -(117/15)

Answer:

ok so lets make this into a algrebra equation

22.2(mil)=0.34x

divide by 0.34

65294117.6471=x

x=65294118

Hope This Helps!!!

The probability is 0.1429.

The probability that the first person chosen is a boy is 5/7. The probability that the second is a boy is 4/6; the third, 3/5; and the fourth, 2/4. Both the numerator and denominator decrease every time, because you lose a boy to choose from and you lose a student to choose from as well. This gives us:

5/7(4/6)(3/5)(2/4) = 120/840 = 0.1429.

The probability that everyone in the group is a girl is 2/7.

Probability sampling is defined as a sampling technique in which the researcher chooses samples from a larger population using a method based on the theory of probability.

Total number of students in a class = 7

Number of boys students = 2

Number of girls students = 5

The probability that everyone in the group is a girl is;

[tex]\rm Probability =\dfrac{Total \ number \ of \ girls}{Total \ number \ of \ boys}\\\\Probability=\dfrac{2}{7}[/tex]

Hence, the probability that everyone in the group is a girl is 2/7.

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To find the area of the shaded part we have to subtract the rectangle area from the triangle area :

[tex]s = \frac{1}{2} \times (8x + 2)(6x) - (x)(3x + 1) \\ [/tex]

[tex]s = \frac{1}{2} \times (48 {x}^{2} + 12x) - (3 {x}^{2} + x) \\ [/tex]

[tex]s = \frac{48}{2} {x}^{2} + \frac{12}{2} x - 3 {x}^{2} - x \\ [/tex]

[tex]s = 24 {x}^{2} + 6x - 3 {x}^{2} - x[/tex]

[tex]s = 24 {x}^{2} - 3 {x}^{2} + 6x - x[/tex]

[tex]s = 21 {x}^{2} + 5x[/tex]

And we're done

Have a great day ♡

Answer: x=12, (MR)=55

Step-by-step explanation:

After converting yards to miles:

2640 yards =  1.5 miles

Given,

2640 yards= ________ miles

Now,

To convert to yard to miles the conversion factor is 0.000568182.

So,

1 yard ⇒ 0.000568182 miles

Multiply 2640 on both sides,

2640 yards ⇒ 1.5 miles.

Therefore 2640 yards is equivalent to 1.5 miles.

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Answer:

[tex] = 2 \times 4 = 8 \\ = 5 \times 5 = 25 \ \\ \frac{1}{2} \times 5 \times 3 = 7.5 \\ 7.5 + 8 + 2.5 = 18[/tex]

Answer:198000 maybe

Sorry if it’s wrong

Answer:

43 ffhfhfhfhfhfhchchchchchc

Answer:

It will take 225 days for Evie's chicken to lay 45 eggs

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.cos

2.sin

3.cos

4.tan

5.sin

6.tan

Step-by-step explanation:

remember the basic trigonometry setup ?

the norm circle (radius = 1) with a horizontal and a vertical line through the center of the circle.

and then there is an angle at the center indicated by the horizontal line and an inclined (by that angle) radius line connecting the center and the circle arc.

this inclined radius line is then the baseline (Hypotenuse) of a right-angled triangle, and the legs of that triangle are sine and cosine of the angle at the center (sine is the vertical leg, cosine is the vertical leg).

in essence (at least it works for me), when given such right-angled triangle problems, I always try to rotate and/or flip this triangle until it looks like the described situation above.

the only other thing to remember is that for triangles inside circles with a different radius than 1, everything is multiplied by the actual radius (it really happens also for the norm circle, but multiplying by 1 does not really change anything, right ?).

so, now for the given problems :

1)

x is the radius of the circle.

we can make 68° the defining angle of that trigonometric situation. so, the top right vertex would be the center of the circle with radius x.

then

30 = cos(68)×x

x = 30/cos(68)

= 80.08401488...

2)

60 is the radius of the circle.

x is the defining angle.

then

15 = sin(x)×60

sin(x) = 15/60 = 1/4

x = 14.47751219...°

3)

x is the radius of the circle.

22° is the defining angle.

then

14 = cos(22)×x

x = 14/cos(22)

= 15.0994864...

4)

the unnamed side is the radius of the circle. let's call it "s".

54° is the defining angle.

then

47 = cos(54)×s

x = sin(54)×s

x/47 = sin(54)×s / (cos(54)×s) = sin(54)/cos(54) = tan(54)

x = 47×tan(54) or 47×sin(54)/cos(54)

= 64.68995026...

5)

14 is the radius of the circle.

41° is the defining angle.

then

x = sin(41)×14

= 9.184826406...

6)

the unnamed side is the radius of the circle. let's call it "s".

x is the defining angle.

then

57 = cos(x)×s

9 = sin(x)×s

9/57 = sin(x)×s / (cos(x)×s) = sin(x)/cos(x) = tan(x)

x = 8.972626615...°

no. the word technology spans every invention ever created. we don't.

Answer:

Yes, We as a society rely too much on technology because it is the new thing that everyone wants or needs. Technology can buy your groceries and food with a single click.

Step-by-step explanation: