Jina sold t-shirts at a festival. She made $3 for each t-shirt she sold. Her expenses were $27. If she made a profit of $51, how many t-shirts did she sell?

The most appropriate choice for parallelogram will be given by

\(\Delta ABD \cong \Delta CDB\) has been proved

What is a parallelogram?

Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.

There are different properties of parallelogram-

Opposite sides of a parallelogram are equal

Opposite angles of a parallelogram are equal

Diagonals of a parallelogram bisect each other

Here,

AD || BC [Definition of Parallelogram]

\(\angle ADB \cong \angle CBD\) [Alternate interior angle theorem]

AB || CD [Definition of Parallelogram]

\(\angle ABD \cong \angle CDB\) [Alternate interior angle theorem]

\(DB \cong DB\) [DB is the common side]

\(\Delta ABD \cong \Delta CDB\) [ASA axiom]

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Answer:

80,000 numbers.

Step-by-step explanation:

Since the number is 6-digits and is larger than 599,999, it would be between 600,000 and 999,999.

Between those two numbers (included), there are \(999999 - 600000 = 399999\) numbers.

In addition, we know that the number is a multiple of 5. Therefore, we should divide this number by 5 to find how many of the numbers in that group are divisible by 5.
Since it's difficult dividing 399,999 by 5, I would divide 400,000 by 5, as we must also include 600,000.

\(\frac{400000}5 = 80000\)

Given differential equation is y"-9y'+20y=0We can write this equation asy²-9y+20y=0Here, a = 1, b = -9, and c = 20Now, we have to find the roots of this equation.

Now, let us find the value of the discriminant. b²-4ac= (-9)²-4(1)(20)= 81-80= 1Since the value of the discriminant is greater than zero, therefore, we have two real and distinct roots for this equation.Roots are given by the quadratic formula.x= (-b±√(b²-4ac))/2aOn substituting the values of a, b, and c we get,x = (9±√1)/2Now,x1= 5x2= 4/1These roots give two linearly independent solutions as follows: y1=e^5t and y2=e^4tTherefore, the general solution to the differential equation is:y=c1e^5t+c2e^4tWhere c1 and c2 are constants.

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The given differential equation is y"-9y'+20y=0.

Let us use the characteristic equation to solve this differential equation.

The characteristic equation of y"-9y'+20y=0 isr² - 9r + 20 = 0.

Solve for r by factoring the characteristic equation(r - 5)(r - 4) = 0. 

Therefore, r = 5 and r = 4.

Thus, the general solution of the differential equation y"-9y'+20y=0 isy(x) = c₁e⁴x + c₂e⁵x

where c₁, c₂ are constants.

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Answer:

I'm not smart so I don't know

Step-by-step explanation:

Answer:

a+a-5b-b+2c-c

2a-6b-c

Answer:

2 a − 6 b + c

Step-by-step explanation:

The value of m and n that shows that point p(m,5-n) when reflected on line y=0 is m = 3, n = 3.

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

The rule for the reflection over the line y = 0 (x axis) is (x, y) ⇒ (x, -y)

If the point p(m,5-n) is reflected on line y=0, this would give (m, -(5 - n)) = p'(2m-3,2n-8). Hence:

2m - 3 = m

m = 3

Also:

-(5 - n) = 2n - 8

-5 + n = 2n - 8

n = 3

The value of m and n that shows that point p(m,5-n) when reflected on line y=0 is m = 3, n = 3.

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c ccccccccccccccccccccccccccccc

The probability of the two events, A and B, is given as follows:

C. P(A and B) = 0.15.

Conditional probability is the probability of one event happening, considering the result of a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

The parameters for this problem are given as follows:

P(A|B) = 0.25, P(B) = 0.6.

Hence the probability of the two events is given as follows:

P(A and B) = P(A|B) x P(B)

P(A and B) = 0.6 x 0.25

P(A and B) = 0.15.

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Answer:

s = -3

Step-by-step explanation:

6s - 8 = -26

Add 8 to both sides.

6s = - 26 + 8

6s = -18

Divide both sides by 6.

s = -3

Answer:

\( \sf \: b) \: s = - 3\)

Step-by-step explanation:

Now we have to,

→ Find the required value of s.

The equation is,

→ 6s - 8 = -26

Then the value of s will be,

→ 6s - 8 = -26

→ 6s = -26 + 8

→ 6s = -18

→ s = -18 ÷ 6

→ [ s = -3 ]

Hence, option (b) is correct.

Answer:

43 Sets for 650

Step-by-step explanation:

Just do division.

Hope this helps :-)

Answer:

ok

Step-by-step explanation:

12

2

2

2

2

2

3

Answer:

AB=8

Step-by-step explanation:

First, you get figure out x. Since both sides are equal, use the equation x+3=2x-2, then subtract x from both sides, 3=x-2, and then add 2 to both sides, x=5. Then use one of the equations to get the length of the side, I used x+3=8, which is your answer.

(hope this helps :P)

Answer:

4

Step-by-step explanation:

An object's radius is half of the object's diameter.

Solving for diameter

Solving for radius

d = r * 2

  = 2 * 2

  = 4

The diameter of Harry's table is 4 feet.

There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)

There's no solution to this particular system because the two lines are parallel.

How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.

The line on the left passes through the points (-1, 0) and (0, -2), so it has slope

(-2 - 0)/(0 - (-1)) = -2/1 = -2

The line on the right passes through (0, 2) and (1, 0), so its slope is

(0 - 2)/(1 - 0) = -2/1 = -2

The slopes are equal, so the lines are parallel.

Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.

Yes, the limit exists and the value of the limit is 0.

Step 1: Plug in the value of c into the function f(x):

f(c) = 3sin(4π/3) = -3√3/2

Step 2: Plug in the value of c + h into the function f(x):

f(c + h) = 3sin(4π/3 + h)

Step 3: Use the difference quotient formula to find the limit:

limh→0f(c + h) - f(c)/h = limh→0[3sin(4π/3 + h) - (-3√3/2)]/h

Step 4: Use the trigonometric identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b) to simplify the expression:

limh→0[3sin(4π/3)cos(h) + 3cos(4π/3)sin(h) + 3√3/2]/h

Step 5: Simplify the expression further:

limh→0[-3√3/2cos(h) - 3/2sin(h) + 3√3/2]/h

Step 6: Factor out 3/2 from the numerator:

limh→0[3/2(-√3cos(h) - sin(h) + √3)]/h

Step 7: Cancel out the 3/2 from the numerator and denominator:

limh→0[-√3cos(h) - sin(h) + √3]/h

Step 8: As h approaches 0, cos(h) approaches 1 and sin(h) approaches 0. So the expression becomes:

limh→0[-√3(1) - 0 + √3]/h = 0/h = 0

Therefore, the limit exists and the value of the limit is 0.

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The probability of choosing water and Black & White Sundae is 1/6.

Probability is a measure of the likelihood or chance of an event occurring. It is represented as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

a. Image is attached below.

b. The probability of choosing water and Black & White Sundae is the product of the probabilities of choosing water and Black & White Sundae given that water was chosen. This can be calculated as:

P(Water and B&W Sundae) = P(Water) * P(B&W Sundae | Water)

= 1/2× 1/3

= 1/6

Therefore, the probability of choosing water and Black & White Sundae is 1/6.

c. To calculate the total number of different combinations, we need to multiply the number of drink options by the number of dessert options. Since there are 2 drink options (water and soda) and 3 dessert options (Black & White Sundae, milkshake, and banana split) with 3 different sizes for the milkshake and banana split, we can calculate the total number of different combinations as:

Total combinations = 2×(1 + 3 + 3×3)

= 2 × 13

= 26

Therefore, there are 26 total different combinations.

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where's the number line?

maybe u can attach it at the comments:)

Answer:

Section B

Step-by-step explanation:

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

The volume of the table tent 3 cmH8 cm12 cm is 288 cubic cm.

The volume of the table tent can be found by multiplying the length, width, and height of the tent.

Volume = length x width x height

In this case, the length is 12 cm, the width is 8 cm, and the height is 3 cm.

Volume = 12 cm x 8 cm x 3 cm

Volume = 288 cubic cm

Therefore, the volume of the table tent is 288 cubic cm.

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Answer:

  x = 11, y = 4

Step-by-step explanation:

You want to find x and y given an inscribed quadrilateral with angles identified as L=(10x), M=(10x-6), N=(16y+6), X=(4+18y).

The key here is that an inscribed angle has half the measure of the arc it subtends. Translated to an inscribed quadrilateral, this has the effect of making opposite angles be supplementary.

This relation gives you two equations in x and y:

Subtracting the first equation from the second gives ...

  (10x +18y -2) -(10x +16y +6) = (180) -(180)

  2y -8 = 0

  y = 4

Using this value of y in the first equation, we have ...

  10x +(16·4 +6) = 180

  10x +70 = 180

  x +7 = 18

  x = 11

The solution is (x, y) = (11, 4).

__

Additional comment

The angle measures are L = 110°, M = 104°, N = 70°, X = 76°.

The "supplementary angles" relation comes from the fact that the sum of arcs around a circle is 360°. Then the two angles that intercept the major and minor arcs of a circle will have a total measure that is half a circle, or 180°.

For example, angle L intercepts long arc MNX, and opposite angle N intercepts short arc MLX.

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Answer:

The correct answer is 5.

Step-by-step explanation:

For the first circle,

When we add 6,18,12,

we get 6+18+12 = 36

Now

when we divide 36 with 6 we get 6.

again,

for second circle,

When we add 10,53,18

we get 10 + 53 + 18 = 81

when we divide 81 with 9 we get 9.

Now

let the unknown number be x.

so,

Pattern : When we add all of the number in the circle excluding the smallest number and dividing it by the smallest number we get the same number.

following the pattern,

Here in the options x>=5 (smallest number in the circle 3)

so, we can take smallest number as 5.

As the pattern,

(x+10+10)/5 = x

or, (x+20)/5 = x

or, x+20 = 5x

or, 5x-x = 20

or, 4x = 20

so, x = 5

Answer:

\(\boxed{\pink{0.27945}}\)

Step-by-step explanation:

\(3.45 \times 0.27 \\ = 0.9315 \times 0.3 \\ = 0.27945\)

Answer: thousandths place

Step-by-step explanation:

                                      ↓

3.45 x 0.27 x 0.3 = 0.27945

The place values to the right of the decimal point are:

one to the right (2): tenths

two to the right (7): hundredths

three to the right (9): thousandths

four to the right (4): ten thousandths

five to the right (5): hundred thousandths

Answer:

(x+2)(x-8)

Step-by-step explanation:

Step-by-step explanation:

the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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The least sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 5 minutes will be 416.16.

A normal distribution is a data set design in which the majority of values cluster around the middle of the range and the remainder taper off symmetrically toward either end. Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central location, with values decreasing as one moves out from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same. The normal distribution, like any other probability distribution, defines how the values of a variable are distributed. Because it properly captures the distribution of values for many natural occurrences, it is the most important probability distribution in statistics.

Here,

The z value at the 90 percent confidence interval is 1.645.

t ≥ z*s/√n

5≥1.645*62/√n

√n≥20.398

√n≥20.4

n≥416.16

The smallest sample size required to ensure that the sample mean does not deviate from the population mean by more than 5 minutes with 90% confidence is 416.16.

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The required probability is
a) both are cups is 0.05

b) At least one cup is 0.19

c) One is a cup and the other is a sword is   0.06

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a) for both are cups

P= 12*11/48*47
p = 0.05

b) for  At least one cup
p = 12*36/48*47
p = 0.19

c) for One is a cup and the other is a sword
p = 12*12/48*47
p = 0.06

Thus, the required probability is 0.05, 0.19, 0.06

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Answer:

The set of angles are Vertical Angles, and x=27.

Step-by-step explanation:

Vertical Angles are a pair of Angles that are formed by two intersecting lines and are not adjacent to one another. Therefore, since 83° and (3x+2) are across from one another, they are Vertical Angles.

Since these are Vertical Angles, they are equal to each other. So, to find the value of x, set the equation equal to 83.

(3x+2)=83

Now, solve the equation. Subtract 2 from both sides. Now we are left with:

3x=81

Divide both sides by 3. Then, you'll find your answer, which is:

x=21

Answer:

Step-by-step explanation:

122444

The substitution, transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x). It is done as:

The equation is in the form  

dy/dx +P(x)y=Q(x)yⁿ,  where P and Q are functions of x or constants, this is called Bernoulli's equation.

Now, we have to substitution using 

\(v = {y}^{1 - n} \)

Differentiating both side with respect to 'x'

\(v' = (1 - n) {y}^{ - n} y' \\ \frac{dx}{dy} = \frac{1}{1 - n} {y}^{n} v'\)

we get,

\(= \frac{1}{1 - n} {y}^{n} v' + p(x)y \\ = q(x) {y}^{n} \\ = v' + (1 - n)p(x) {y}^{1 - n} \\ = (1 - n)q(x)\)

Now, by using 

\(v' = {y}^{1 - n} \)

The given equation is expressed as:

\(v + (1 - n)p(x)v = (1 - n)q(x)\)

or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)

The Bernoulli equation simply states that total energy per unit mass of flowing fluid, at any point in the subsurface, is the sum of the kinetic, potential, and fluid-pressure energies and is equal to a fixed value. The Bernoulli Equation can be viewed as a statement of the conservation of energy principle applicable to flowing fluids.

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