Bill bought 4 CDs that were each the same price. Including sales tax, he paid a total of $58.80 Of that total, $5.20 was tax. What was the price of each CD before tax?

Answer:

Step-by-step explanation:

7(x + 4) > 0

x+4 > 0

x > -4

Answer:

x>4

Step-by-step explanation:

7(x+4)>0

distrubute

7x+28>0

subtract 28 from both sides

7x>28

divide both sides by 7

x>4

Hope that helps :)

Exact Answers:

Approximate Answers:

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

Explanation:

Your diagram is 100% correct. Nice work.

To get the area of the trapezoid, we could use the area of a trapezoid formula below:

A = h*(b1+b2)/2

In this case, we have,

the bases are parallel to each other. The height is always perpendicular to the base. We won't use the "14" at all.

So,

A = h*(b1+b2)/2

A = 7*sqrt(3)*(18+25)/2

A = 7*sqrt(3)*21.5

A = (7*21.5)*sqrt(3)

A = 150.5*sqrt(3)

This is the exact area.

The approximate area is roughly

150.5*sqrt(3) = 260.673646539

The units for the area are in square km, or km^2. Though your teacher said for you not to include the units.

Another way to get the area of the trapezoid is to break the diagram into a rectangle and triangle as you have done so, and then find the area of each sub-piece. Adding the two smaller areas should lead to the result shown above.

-----------------------------------

To get the perimeter, we add up all of the exterior sides. We do not include the right-most vertical line that is 7*sqrt(3) km long because it is inside the figure. The horizontal segment that is 7 km long is part of the "25 km" segment, so we'll ignore that 7.

Adding the four exterior sides leads to:

7*sqrt(3)+18+14+25 = 57+7*sqrt(3)

This value is exact. It approximates to

57+7*sqrt(3) = 69.12435565

The units for the perimeter are in kilometers, and you won't have any exponent over the "km". While your teacher doesn't want the units, it's still handy to know what the units would be.

Step-by-step explanation:

solution given:

for rectangle

length [l]=18km

breadth [b]=7√3 km

for triangle

base[b1]=25-18=7km

height [h]=b=7√3km

for area :area of. (rectangle +triangle}=

l×b+1/2 b1×h=18×7√3+1/2 ×7×7√3=260.67km²

now

perimeter=sum of all sides

=18+14+25+7√3=69.12km

is your answer

Step-by-step explanation:

11500-98000 = 17000

11000-5200 = 5800

17000+5800 - 2300 + 900 + 300 = $21700

Answer: Abby's net worth would be around $21,400. $127,000 in assets, and around 105,000 in liabilities.

Step-by-step explanation: With the given information I added up the total and got around 127,000 in assets and 105,000 in liabilities, and when subtracted you will get Abby's net worth (answer), 21,400.

Hope This Helped, Have Great Day!

Answer:

Angle LKM is 110

Step-by-step explanation:

Since all the angles in a triangle equal 180, and 60 is one angle you can see its an equilaterial triangle.

so x=60

Then 3(60)-70=110

So LKM=110

Answer:

125, i don't know if I'm right though so try it? :)

Step-by-step explanation:

Well an exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees

180-60=120

120=x+(180-(3x-70))

x=65

3*65=195

195-70=125

Answer:

5 X 4

Step-by-step explanation:

If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.

Hope this helped!!

Answer:  -7j+3

Step-by-step explanation:Simplify

Answer:

radius =1.1618m

Step-by-step explanation:

circumference of circle =7.3m

2πr=7.3

r=7.3/(2π)=1.1618m

Answer:

e=1

Step-by-step explanation:

2e=2

Divide both sides by 2

2e/2=2/2

Simplify

e=1

ANSWERED by NONE other than the #QUEEN herself aka #DRIPPQUEENMO!!

HOPE THIS HELPED!!

Answer:

Well I’m not sure what you want but I’ll give you both,

The perimeter is 25 units

The area is 28.5 units ^2

Step-by-step explanation:

Well to find perimeter just count every unit which is what I did and got 25 units.

To find the area jsut split them into two shapes and find the area for both.

Triangle formula: bh/2

Rectangle: Lw

Well we have 3 for base and 3 for height.

3*3=9

9/2=4.5

4.5 is the triangle

We got 3 for width and 8 for length

3*8=24

24 is the rectangle

Add them up

24+4.5= 28.5

28.5 units

Answer:

28.5?

Step-by-step explanation:

I did this a while ago in 5th grade

Answer:

x=13

Step-by-step explanation:

Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.

7x+23=114

Subtract 23 from both sides.

7x=91

Divide both sides by 7.

x=13

Answer:

Line of reflection → x = 1

Step-by-step explanation:

Coordinates of B → (3, 2)

Coordinates of B' → (-1, 2)

If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.

Coordinates of the midpoint of the segment joining B and B'

= [tex](\frac{x_+x_2}{2},\frac{y_1+y_2}{2})[/tex]

= [tex](\frac{3-1}{2},\frac{2+2}{2})[/tex]

= (1, 2)

Line of reflection will pass through this midpoint (1, 2)

Therefore, equation of the line of reflection will be,

x = 1

Answer:

I think it is the vertical line test. If you have any other questions let me know! :)

Answer:

3. 108.982 feet per second

so yes faster than 100 feet per second

4.

5. 46.336°

6. 31.999°

7. 73.301°

8. 18.435°

Step-by-step explanation:

3. tan(16)= 250/x

x=250/tan(16)

x= 871.853611

speed=871.853611/8

= 108.982 feet per second

so yes faster than 100 feet per second

4. I do not understand the formulation of the question

5. sinx= 3.4/4.7

asin*(to the power of -1)*(3.4/4.7)=x

x=46.336

6.tanx=4,532/7253

atan*(power -1)* (4,532/7253)=x

x=31.999

7.tanx=500/150

x=73.301

8. tanx=30/10

atan(30/10)=x

x=71.56505118

90-71.56505118=18.43494882(the final angle)

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = [tex]\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}[/tex]

                 = [tex]{^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}[/tex]  + .......+ [tex]{^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}[/tex]

                = 0.04541 + ......+0.0000002079

                = 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076

Answer:

dV ≈ 927.4 cm³

Step-by-step explanation:

Formula for volume of a cylinder is;

V = πr²h

Using differentials, we have;

dV = (dV/dr)dr + (dV/dh)dh

Now, dV/dr = 2πrh

dV/dh = πr²

Thus, at r = 24/2 = 12 cm

And at h = 60 cm, we have;

dV/dr = 2π(12 × 60)

dV/dr = 4523.89 cm²

Also;

dV/dh = π(12)²

dV/dh = 452.39 cm²

the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2

the metal in the sides is 0.05 cm thick. Thus; dh = 0.05

Thus;

dV = (4523.89 × 0.2) + (452.39 × 0.05)

dV ≈ 927.4 cm³

Answer:

Step-by-step explanation:

[tex]\frac{AB}{QR} =\frac{CD}{ST} \\\\\frac{8}{12}=\frac{6}{m} m=\frac{6*12}{8} \\\\m=9[/tex]

hope it helps...

Answer:

1.37

Step-by-step explanation:

I just used my calculator lol

Answer:

20,90 for the first one

50% for second one

Answer:

A sample size of 1068 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

CBS wishes to have 95% confidence and a margin of error in its estimate of ±0.03. What sample size is required?

We need a sample size of n, and is found when M = 0.03.

We dont have an estimate for the true proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.03})^2[/tex]

[tex]n = 1067.1[/tex]

Rounding up,

A sample size of 1068 is required.

Answer:

Step-by-step explanation:

Answer:

The correct answer is B. $6.50 per pound.

Answer:

I hope that helped

Step-by-step explanation:

3x+4y=-5

6x+2y=8

7x+y=0

4x-5+y=0

Answer: A

Step-by-step explanation:

I just took the USATESTPREP quiz and that is the answer.

 Option (C) will define the changes in the graph of the function with the values of 'd'.

 Given function in the question → y = alog(x + c) + d

Rules for the translation of a function,

 Hence, in the given function y = alog(x + c) + d, positive value of 'd' will define the shifting of the parent function upwards.

And for the negative value of 'd' will define the shift of the function downwards.

     Option (C) will be the correct option.

Learn more,

https://brainly.com/question/16770247

Answer:

582/800 * 581/799

brr i do NOT want to calculate that

Answer:

Kindly check explanation

Step-by-step explanation:

Given the summary output :

_______ Coeff___ StdError__ t-stat

Intercept 1283.000_ 352.000 _ 3.65

X1 _____ 25.228 ____8.631

X2 _____0.861 _____0.372

General form of a multiple regression model:

Y = B1X1+B2X2 +E

The fitted regression equation is :

y = 25.228X1 + 0.861X2 + 1283

Intercept and slope corresponding to the standard error :

Intercept = 352

Slope 1 = 8.61 ; slope 2 = 0.372

'B' coefficient represents the change in the mean response, Y, per unit increase in a version predictor variable when all the other predictors are held constant.

B1 represents the change in the mean response, U, per unit increase in x1 when x2, x3, ..., xk are held constant

B2 represents the change in the mean response, U, per unit increase in x2 when x1, x3, ..., xk are held constant

Answer:

107 %

3 %

100 /8

Step-by-step explanation:

The exact quotient is 876.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

21,900 / 25

Now,

Using long division,

25 ) 21,900 ( 876

      200

         190

         175

           150

            150

              0

We see that,

The quotient is 876.

Thus,

The exact quotient is 876.

Learn more about expressions here:

https://brainly.com/question/3118662

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