sara bought a new doll at a 20% off sale and saved $12. What was the regular price of the doll?

Answer: No.

Step-by-step explanation:

We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.

This only can happen if we have 3 odd numbers such that the addition is equal to 10.

Now 10 is an even number, remember that even numbers can be written as:

2*k

where k is an integer number.

And odd numbers can be written as:

2*n + 1

where n is an integer.

Then we have 3 odd numbers, let's call them:

(2*n + 1), (2*k + 1) and (2*p + 1).

Now let's add them:

(2*n + 1) + (2*k + 1) + (2*p + 1).

2*(n + k + p) + 1 + 1+ 1

2*(n + k + p) + 2 + 1 =

2*(n + k + p + 1) + 1.

Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:

2*X + 1

This is an odd number

So for any 3 odd numbers that we add together, the result will always be an odd number.

Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).

Then is not possible to have an odd number of lumps in each cup.

The measure of angle YXZ is 9.

We are given that;

XZ= x+54

YZ= x+108

Now,

By the property of angle sum of circle

x+54+x+108=180

2x+162=180

Solving the equation

2x=180-162

2x=18

x=9

Therefore, by the angle property the answer will be 9.

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The measure of angle YXZ is 9.

We are given that;

XZ= x+54

YZ= x+108

Now,

By the property of angle sum of circle

x+54+x+108=180

2x+162=180

Solving the equation

2x=180-162

2x=18

x=9

Therefore, by the angle property the answer will be 9.

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The conditions of the alternating series test are satisfied, and the given series σ(-1)⁽⁸ⁿ⁾ln(n)/n² converges.

for the first series σ(-1)⁽⁸ⁿ⁾ln(n)/n², we can determine its convergence or divergence by applying the alternating series test and considering the convergence of the underlying series.

the alternating series test states that if the terms of an alternating series satisfy two conditions: 1) the absolute value of the terms decreases monotonically, and 2) the limit of the absolute value of the terms approaches zero, then the series converges.

let's check these conditions for the given series:

1) absolute value: |(-1)⁽⁸ⁿ⁾ln(n)/n²| = ln(n)/n²

2) monotonic decrease: to show that the absolute value of the terms decreases monotonically, we can take the derivative of ln(n)/n² with respect to n and show that it is negative for all n > 1. this can be verified by applying calculus techniques.

next, we need to verify if the limit of ln(n)/n² approaches zero as n approaches infinity. since the numerator ln(n) grows logarithmically and the denominator n² grows polynomially, the limit of ln(n)/n² as n approaches infinity is indeed zero. for the second question about the series σcos(x)/n⁽⁶⁷⁾, we can determine its convergence or divergence by considering the convergence of the underlying p-series.

the given series can be written as σcos(x)/n⁽⁶⁷⁾, which resembles a p-series with p = 6/7. the p-series converges if p > 1 and diverges if p ≤ 1.

in this case, p = 6/7 > 1, so the series σcos(x)/n⁽⁶⁷⁾ converges.

for the third question about finding the limit of (49x² + x - 7x)/(x - ?), the expression is incomplete. the limit cannot be determined without knowing the value of "?" since it affects the denominator.

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Answer:

4

Step-by-step explanation:

48/12=4

The required number line is attached to this answer.

A number line is a straight line on which the position or location of all other numbers (directed) can be made. It extends from negative infinity to positive infinity.

In the given question, let the sea level be represented as zero. So that any point above it is above the sea level and any point below it is below the sea level. So that the positions of the the swimming turtle is 3 feet below sea level, and that of the flying seagull is 9 feet above the sea level.

Using the scale of one unit to 3 feet below sea level and 3 units to 3 feet above sea level, the positions of the seagull and turtle can be graphed as shown in the attachment to this answer.

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Answer:

A : B = 2 : 3 B : C = 4 : 5. Now, to find A : B : C, we need to make the value of B equal in A : B ratio and B : C ratio. Here, Value of B in A : B ratio is 3; and B : C ratio is 4. LCM of 3 and 4 is 12. Therefore, we multiply 4 to the first ratio and 3 to the second ratio. A : B = 2 × 4 : 3 × 4 A : B = 8 : 12 Also, B : C = 4 × 3 : 5 × 3 B : C = 12 : 15 Now, we can combine A : B and B : C. A : B : C = 8 : 12 : 15.

Step-by-step explanation:

the answer:  12 : 15

Answer:

             a = 60

             b = 80, and

             c = 100

Step-by-step explanation:

Be patient, this requires a few tedious steps.

We can take the first expression and pick one of the unknowns, I'll choose a, and rearrange the expressions such that a is expressed as a function of b and c.

Since:

a/3 = b/4 = c/5

We can separate out the values of b and c and express them as a function of a.

For example, a/3 = b/4 can be rewritten as

a/3 = b/4

4a = 3b

b = (4/3)a

When we're ready, we can substitute this value for b in the second equation, thereby eliminating b from the 2nd equation.

First, let's do the same for c:

a/3 = c/5

5a = 3c

c = (5/3)a

Now we can use the values for both b and c expressed only with "a" as the variable.  Use these values for b ((4/3)a) and c ((5/3)a) in the second equation:

240 - b = a + c

240 - (4/3)a = a + (5/3)a

240 = = a + (5/3)a +  (4/3)a

240 = (3/3)a + (5/3)a + (4/3)a

240 = (12/3)a

a = (240)*(3/12)

a = 60

Now that we have a, we can use the relationships we established at the start:

b = (4/3)a

b = (4/3)(60)

b = 80

c = (5/3)a

c = (5/3)(60)

c = 100

==

Summary

             a = 60

             b = 80, and

             c = 100

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

Do these work?

Check the numbers for 240 - b = a + c

                                    240 - 80 = 60 + 100 ?  

                                               160 = 160                          YES

And does  a/3 = b/4 = c/5?

                                 a/3 =  60/3 = 20

                                 b/4 =  80/4 = 20

                                 c/5 = 100/5 = 20                             YES

Answer:

87

Step-by-step explanation:

145x60%=87

Answer:

e: 0.25n=24

s: n=96

Step-by-step explanation:

Answer:

Answer:

e: 0.25n=24

s: n=96

Answer:

a) 40050017 = 40,050,017

Forty million fifty thousand and seventeen

b) 251400 = 251,400

Two hundred fifty one thousand and four hundred

Step-by-step explanation:

In international system commas are placed after three digits starting from the unit's place.

a) 40050017 = 40,050,017

Forty million fifty thousand and seventeen

b) 251400 = 251,400

Two hundred fifty one thousand and four hundred

It can be placed as shown below.

TM, M, HTh , TTh, Th, H, T, O

4      0    0      5       0   0  1    7

             2       5       1   4   0  0

Answer:

85

Step-by-step explanation:

out of 100 aka 100%, 15% is taken so subtract the too and you get 85

Answer:

20

Step-by-step explanation:

\(f(x) = 2|x + 6| -4\)

Step 1: Substitute \(x\) for the given function.

6 is the given function.

\(f(x) = 2|x + 6| -4\\=f(x) = 2|6 + 6| -4\\\\f(x) = 2|6 + 6| -4\\=24-4\\\\=20\)

Answer:

(A)

Sin á = a/c

Cos ∅ = a/c

Tan á = a/b

(B)

Sin á = a/c

Cos á = b/c

Tan á = a/b

Therefore á=

(inverse sin) a/c

Or

(Inverse cos) b/c

Or

(Inverse tan) a/b

(C)

If b = 12 and c = 13

then a =√(c²-b²)

= 5

Hence 5/13 = a/c

Therefore sin á = cos ∅ = a/c = 5/13

Answer:

You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.

Step-by-step explanation:

I hope you can please mark me as

The parametric equations for the motion of the particle are:

x(t) = 10 cos(2πt/9)

y(t) = 10 sin(2πt/9)

Here, t represents time in seconds, and 2π/9 represents the angular speed of the particle, since it completes one revolution every 9 seconds. The radius of the circle is 10, which is used in the equations for the x and y coordinates of the particle's position at any given time t.

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Answer:

2(8x−5+x^2 )

Step-by-step explanation:

2(3x−1+x^2+5x−4)

2((3x+5x)+(−1−4)+x^ )

2(8x−5+x^2 )

Answer: look at the image for the answer and explanation

Step-by-step explanation:

Answer:

11.6404467268 ——> 11.64

Step-by-step explanation:

Since ur only in hs, there are no steps for this. Simply press the square root button on ur calculator and voila! Thx for the brainliest :)

Answer: Angle C: 137 degrees

Step-by-step explanation:

A+B+C=180

18+25+C=180

C=137

Step-by-step explanation:

triangle add U to 180

18 + 25 = 43

180 - 43 = 137 degree is c

Answer: Student 1 pays $23.5 to use a supercomputer and pays $14.1 to use a telescope

Step-by-step explanation:

Using cross multiply and divided method, we  can find the unit rate or just dividing.

Student 1.     3            1

                 $70.5         x

70.5 x 1 = 70.5

70.5 ÷ 3 = $23.5

x = $23.5

 5           1

70.5        x

70.5 x 1 =70.5

70.5 ÷ 5 = 14.1

x = $14.1

Student 1 pays $23.5 to use a supercomputer and pays $14.1 to use a telescope.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Using the cross multiply and divide method, we can find the unit rate or just divide.

Student 1.     3            1

                $70.5         x

70.5 x 1 = 70.5

70.5 ÷ 3 = $23.5

x = $23.5

5           1

70.5        x

70.5 x 1 =70.5

70.5 ÷ 5 = 14.1

x = $14.1

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\(\stackrel{ \textit{scale of both radii} }{\stackrel{M}{3}~~ : ~~\stackrel{N}{1}\implies \cfrac{M}{N}=\cfrac{3}{1}}\qquad \textit{M has a radius 3 times larger than N's}\)

since M has a diameter of 12, that means its radius is half that, or 6. and since N is three times smaller, then its radius is 2 and its diameter is twice that or 4.

\(\stackrel{ \textit{\LARGE M} }{\textit{circumference of a circle}}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies C=2\pi (6)\implies C=12\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE N} }{\textit{area of a circle}}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies A=\pi (2)^2\implies A=4\pi\)

Answer:

X + 5 =  X + 5

Step-by-step explanation:

The answer is X + 5 because they both are different simbuls, wich means you cant add them. The answer just stayes x + 5.

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Answer:

\(-2.3 > -\frac{8}{3}\)

Step-by-step explanation:

-2.3 = -2.3333333333...

-8/3 = -2.666666666...

You can see that -2.6 is less than -2.3

Answer: B

Step-by-step explanation:
A bar over a number means the number is irrational, and the number will repeat. so the numbers are -2.33333333333 and -8/3.
If 8/3 = 2.6666667, then -8/3 will be -2.6666667.
-2.6666666667 is lower than -2.33333333. So the equation is -2.3333333333 > - 8/3.

Answer:

Step-by-step explanation:

6 faces have an area of 150 cm^2

1 face has an area of 150/6 = 25 cm^2

The formula for the area of one face of a cube = s^2 which is the length of  a side squared.

s^2 = 25

sqrt(s^2) = sqrt(25)

s = 5

The purchase price of the property was $26,390.09, and the cost of financing was $15,390.09.

To calculate the purchase price of the property, we need to consider the down payment and the series of payments made over 7 years. The down payment is given as $5,218.00.

Next, we need to calculate the present value of the series of payments made every three months for 7 years. The payment amount is $1,236.00, and the interest rate is 9% per annum compounded semi-annually. We can use the present value of an annuity formula to calculate this value.

Using the formula, we find that the present value of the series of payments is $21,172.09.

To calculate the purchase price, we add the down payment and the present value of the payments: $5,218.00 + $21,172.09 = $26,390.09.

Therefore, the purchase price of the property is $26,390.09.

The cost of financing is the difference between the purchase price and the total payments made over the 7 years. The total payments made can be calculated by multiplying the quarterly payment amount by the total number of payments (7 years * 4 quarters per year).

The total payments made over the 7 years amount to $103,488.00.

The cost of financing is then calculated as the difference between the purchase price and the total payments made: $26,390.09 - $103,488.00 = $77,097.91.

Therefore, the cost of financing is $77,097.91.

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From the  X coordinate is -0.45 centimeter and Y coordinate is -2.0 cm of the center of mass for the uniform plate.

According to the Question:

Since the plate is uniform, we can divide it into three rectangles, each with a mass proportional to its area and with its barycenter at its geometric center. We will refer to the large piece of 35cm x 10cm; it occupies 63.6% of the total surface and its barycenter is at

(x₁, y₁) = (−5.0cm,−2.5cm).

Now,

The top 20cm× 5cm piece has 18.2 % of the total area; its center of mass is at (x₂, y₂) = (10cm,12.5cm).  

Now,

The bottom 10cm× 10cm piece (section 3) also has 18.2 % of the total area; its center of mass is at (x₃, y₃)​ = (5cm,−15cm).

(a) The x coordinate of the center of mass for the plate is

   \(X_{com} = (0.636)X_1 + (0.182)X_2 + (0.182)X_3\)

            = -0.45 cm

(b) The y coordinate of the center of mass for the plate is

    \(Y_{com} = (0.636)Y_1 + (0.182)Y_2 + (0.182)Y_3\)

             = -2.0 cm.

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Using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).

The given data are English, Maths, Urdu, Science, English, Urdu, Science, Maths, English, Computer, Maths, Urdu, Science, Maths, Computer, and English.

A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.

The data table for the given data is given below:

Thus, using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).

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Answer:

huh

Step-by-step explanation:

A differential equation is a mathematical equation that relates a function with its derivatives. It describes the relationship between a quantity and its rate of change in continuous time or space.

To find the value of k for which the constant function x(t) = k is a solution of the given differential equation, we substitute x(t) = k into the differential equation and check if it satisfies the equation.

So, we have:

312 dx/dt - 5x - 7 = 0

Substituting x(t) = k, we get:

312 d(k)/dt - 5k - 7 = 0

Since x(t) = k is a constant function, its derivative is zero. Therefore, d(k)/dt = 0.

Substituting d(k)/dt = 0, we get:

-5k - 7 = 0

Solving for k, we get:

k = -7/5

Therefore, the value of k for which the constant function x(t) = k is a solution of the differential equation 312 dx/dt - 5x - 7 = 0 is -7/5.

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