Nikki had a $50 gift card for her favorite store. She used the gift card to buy 4 DVDs and still had money available on the card after the purchase. If the DVDs were all the same price, which inequality best represents the possible price of each DVD? a.. p greater-than 12.50 b.. p greater-than-or-equal-to 12.50 c.. p less-than 12.50 d.. p less-than-or-equal-to 12.50

Answer:

15 is 30% of 50

Step-by-step explanation:

We have, 30% × x = 15

Multiplying both sides by 100 and dividing both sides by 30,

we have x = 15 × 100/30

x = 50

If you are using a calculator, simply enter 15×100÷30, which will give you the answer.

Answer:

15t+12r

Step-by-step explanation:

you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r

Answer:

\(if \: l_{1} \parallel \: l_{2} \Rightarrow \:m_{1} = m_{2} = \frac{7}{9} \\ m = \frac{y-y_{1} }{x - x_{1}} \\ \frac{7}{9} = \frac{y - 6}{x - ( - 2)} \\ y - 6 = \frac{7}{9}(x + 2) \\ y = \frac{7}{9}x + \frac{7}{9}(2) + 6 \\ y = \frac{7}{9}x +( \frac{14}{9} + 6) \\ y = \frac{7}{9}x +\frac{68}{9} \\ \\ method \: 2 \\ \\ y = mx + c \\ 6 = \frac{7}{9}( - 2) + c \\ c = \frac{14}{9} + 6 = \frac{68}{9} \\ y = \frac{7}{9}x +\frac{68}{9}\)

Answer:

9z square+49+42z

Step-by-step explanation:

right!

Answer:

15 square meters

Step-by-step explanation:

when it says find the area you have to add all the lengths together

Answer:

\(=-\frac{82}{105}\)

Step-by-step explanation:

\(-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right]\)

\(\frac{3}{5}+\left(-\frac{5}{7}\right)\)

\(=-\frac{4}{35}\)

\(=-\frac{2}{3}-\frac{4}{35}\)

\(=-\frac{82}{105}\)

\(\huge\text{Hey there\bf!}\)

\(\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}\)

\(\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}\)

\(\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}\)

\(\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}\)

\(\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}\)

\(\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}\)

\(\mathtt{= \dfrac{-7 - 75}{105 - 0}}\)

\(\mathtt{= \dfrac{-82}{105}}\)

\(\mathtt{= -\dfrac{82}{105}}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

A

y=3x+11

Step-by-step explanation:

The slope of the line perpendicular to y=-1/3x-4 is 3, and A is the only choice with the slope of 3.

The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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Answer:

x=19

Step-by-step explanation:

Basic Algebra.

x - 13 = 6

Simply move the 13 to the right side.

This involves changing the sign to positive, due to it being a negative integer.

The resulting outcome is

x = 13+6

Which concludes to

x=19

The Riemann Hypothesis is a conjecture in mathematics that states that all non-trivial zeros of the Riemann zeta function lie on a specific line in the complex plane, known as the critical line.

This critical line is defined as the set of complex numbers with a real part equal to 1/2. Additionally, the hypothesis suggests that the only other zeros of the zeta function are the negative even integers.

The Riemann zeta function is an important mathematical function that arises in number theory and has connections to prime numbers. The Riemann Hypothesis has been a central problem in mathematics for over a century, and its truth or falsehood has significant implications for the distribution of prime numbers.

Despite extensive efforts, the hypothesis remains unproven, and its proof or disproof continues to be an active area of research.

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The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

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The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

The surface area of a cylinder is:

Surface area = 2πr(r + h)

where r is the radius and h is the height

1) r = 5 in., h = 11 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(5)(5 + 11) = 502.4 in²

2) r = 6 in., h = 10 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(6)(6 + 10) = 602.88 in²

3) r = 2 in., h = 12 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(2)(2 + 12) = 175.84 in²

The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

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Answers:

x = 12

angle A = 30 degrees

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

Explanation:

Check out the attached image below.

Note the pair of (8x+4) angles which are congruent vertical angles.

Also, notice that 50+130 = 180 since those adjacent angles are supplementary. In other words, they form a straight line.

Now that we know the expressions for each interior angle, we add them up and set the sum equal to 180. Recall that for any triangle, the interior angles always add to 180.

Let's solve for x

(3x-6) + (8x+4) + (50) = 180

11x + 48 = 180 .... combine like terms

11x = 180-48 ..... subtract 48 from both sides

11x = 132

x = 132/11 ..... divide both sides by 11

x = 12

Use this to find the value of angle A

A = 3x-6

A = 3*12-6

A = 36 - 6

A = 30

For the sake of completeness, let's find 8x+4 as well. This part is optional

8x+4 = 8*12+4 = 96+4 = 100

The three interior angles of the triangle are: 30, 100, 50

Note how 30+100+50 = 180 to help confirm the answer.

Answer:

4 snacks

Step-by-step explanation:

44 from the overall date - 25 from the movie = 19 dollars. 19 divided by four is 4.75. I'm not sure if this is a real question and you can have a decimal of a snack but you can just write approximately four snacks.

Answer:

23

Step-by-step explanation:

I cant see the question, id help if i could

Given:

The two functions are:

\(P(x)=x^2-x-6\)

\(Q(x)=x-3\)

To find:

The function \(P(x)-Q(x)\).

Solution:

We need to find the function \(P(x)-Q(x)\).

\(P(x)-Q(x)=(x^2-x-6)-(x-3)\)

\(P(x)-Q(x)=x^2-x-6-x+3\)

\(P(x)-Q(x)=x^2+(-x-x)+(-6+3)\)

\(P(x)-Q(x)=x^2-2x-3\)

Therefore, the correct option is C.

Answer:

kiwis = $1.5

mangoes = $2.25

Step-by-step explanation:

Two equations can be derived from the question

2m + 3k = 9 equation 1

5m + 2k = 14.25 equation 2

m = mangoes

k = kiwis

multiply equation 1 by 5 and 2 by 2

10m + 15k = 45 equation 3

10m +4k = 28.5 equation 4

Subtract equation 4 from 3

11k = 16.5

k = 1.5

Substitute for k in equation 1

2m + 3(1.5) = 9

2m + 4.5 = 9

2m = 4.5

m = 2.25

Answer:

as below

Step-by-step explanation:

current ages

Bill is 8

Jenny is 6

and Phil is 4

the dad is  36

9514 1404 393

Answer:

  6

Step-by-step explanation:

Let p, b, j, d represent the ages of Phil, Bill, Jenny, and Dad. We are given the relations ...

  b = 2p

  j = b -2

  2(p +b +j) = d

  (p+9) +(b+9) +(j+9) = d+9

_____

Solving the last equation for d, we get ...

  (p +b +j) +18 = d

Substituting for the sum of p, b, j in the third equation, we have ...

  2(d -18) = d

  d = 36 . . . . . . . . add 36-d

Substituting for b and j in the third equation, we get ...

  2(p +(2p) +(2p-2)) = 36 . . . . .  uses b=2p in the 2nd equation

  10p -4 = 36 . . . . . . . . . . . . . . . collect terms

  p = 40/10 = 4 . . . . . . add 4; divide by 10

  b = 2p = 8

  j = b -2 = 6

Jenny's current age is 6.

_____

All of the ages are ...

  Bill: 8; Jenny: 6; Phil: 4; Dad: 36

The number of different unique cleaning teams should be 1540.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, A class has 10 boys and 12 girls and 3 students are chosen at random.

So, the team of 3 can be chosen as 3 boys, 3 girls, 1 boy 2 girls, and 1 girl and 2 boys and the total teams will be the sum of different combinations which is,

= \(^{10}C_3 + ^{12}C_3 + ^{10}C_1\times^{12}C_2 + ^{12}C_1\times^{10}C_2\).

= (10×9×8)/6 + (12×11×10)/6 + 10×(12×11)/2 + 12×(10×9)/2.

= 120 + 220 + 660 + 540.

= 1540.

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The model that is most likely rule out on the basis of this simulation is 40%

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

First set of trials:  ththththht ( where T = Tails ; H = Heads)

Number of heads = 5

Number of outcomes = 10

Second set of trials: ttthtthtth

Number of heads = 3

Number of outcomes = 10

Total number of heads = 5 + 3 = 8

Total number of outcomes = 10 + 10 = 20

Probably of heads = 8/20 * 100%

Probably of heads = 0.4*100%

Probably of heads = 40%

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Answer:

.

See the diagram attached below.

Let the chords be AB and AC with common point A.

AD is the diameter. Join B with D and C with D to form two triangles.

We need to prove that AB=AC.

\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}

In △ABD and△ACD;

Given that ∠BAD=∠CAD−−−−(condition 1)

since AD is diameter,∠ABD=∠ACD=90

0

So ∠ADB=∠ADC−−−−−−−−(condition 2)

AD=AD (common side)−−−−−(condition 3)

So the triangles are congruent by ASA rule.

Hence AB=AC.

Greetings from Brasil...

We can solve this question quickly building the graph and verifying the given points - refer to attached

If the half of the line has the point Y = - 2, then in the whole line we will have the point Y = - 4. For X the same: Half of the line has 6 units (from -3 to 3 in module), so the whole line will have 12 units - refer to attached

After these observations we can conclude that

y-coordinate = - 4

Note that

d(A; M) = d(M; B) = 2√10

and

d(A; B) = 4√10

............................................................................

There are other ways to resolve. We can use similarity of triangles OR the equation d(A; B) and d(M; B) which will result in an equation system with 2 variables

We can use the radical rules to simplify the product 3(4x2). To start, we simplify 4 to its square root, which equals 2. Next, we employ the power property of radicals, which asserts that (a,m) = (a(m/2)), to simplify the cube root (x2) by using it. In this instance, (x2) = x.

We now get 3 * 2 * x, which simplifies to 6x when the simpler terms are combined.The result is that the product 3(4x2) has the simplest form (6x).We can dissect the constituent parts and use the radical-simulation principles to simplify the product 3(4x2).In the beginning, we may reduce the square root of 4 to 2: 3(2x2).Then, since it contains a square (2) and a cube root (), we can reduce them as follows:

3 * 2 * x^(²/³)Taking the square root before the cube root is shown by the exponent 2/3. We may calculate the exponent by reducing it to: 3 * 2 * x(2/3)The terms are then combined when we multiply the coefficients: 6 * x(2/3)As a result, 6x(2/3) is the product of 3(4x2) in its simplest form.

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Answer: A= 42 degrees

Step-by-step explanation:

A= 180-90-48=42 (degrees)

Answer:

A= 42 degrees

a = 27

c= 40.4

Step-by-step explanation:

48 - 90 = 42 (we know the remaining angle area is 90 because its a right triangle and a traingle is 180 degrees)

to find the answer of a we need to use tan(48) and when you convert that to radians you get 1.1106 ish tan is opposite over adjacent and we know the opposite is 30 but we dont know a so we put \(\frac{30}{a}\) = 1.1106 and put a on both sides so you divide 30 by 1.1106 and dget 27.0124 and round to the nearest tenth to get 27

to find c you need to find the hypotanuse which is \(a^{2}\)+\(b^{2} =c^{2}\)

30 squared is 900 add that to 27 squared which is 729 and you get 1629

find the square root of 1629 to get 40.3608 and then round that to the nearest tentth to get 40.4

Using the multiplication and addition operations, if Fabian leaves a 15% tip, his meal plus the tip, before tax, is $40.25.

Multiplication and addition operations are two of the four basic mathematical operations.

Multiplication involves the use of multiplicand, multiplier, multiplication operand, equal symbol, and product.

The addition operation involves using the two addends, the equal sign, and the sum.

Dinner cost before tip and tax = $35

Tip = 15%

Total cost before tax = 115% (100 + 15)

Dinner cost after tip = $40.25 ($35 x 1.15)

Thus, mathematically, Fabian will spend $40.25 for the dinner before tax.

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Answer:

368m

Step-by-step explanation:

16 x 20 = 320

8 x 12 x 1/2 = 48

Add them together and get 368

$21,500  this would be cause a person to be indifferent between Fund A and Fund B (i. E. , the EMVs would be the same)

EMV 1 = 0.2*10,000 + 0.3*2,000 + 0.5*-5,000 = $100EMV 2 = 0.2*6,000 + 0.3*4,000 + 0.5*-0 = $2,400.

Comparing both funds based on EMV calculations, Fund B shows a higher EMV. Therefore, to maximize expected value, we should invest in Fund B with an expected value of $2,400. First, his EMV for Fund A is not the same as Fund A's return being higher or lower in good economic conditions. Therefore, the EMC can also be higher or lower. But obviously the economy changes quickly sometimes. You don't always get the same return. So relying solely on returns is risky. Relying heavily on favorable economic conditions makes Fund A vulnerable to change and increases investor risk, so investors need to be more diversified. We can do the calculation:

Fund A return in good economy = Difference between A and B: EMV (Fund A) = EMV (Fund B) 0.2*X + 0.3(2,000) + 0.5(- 5,000) = 2 4,000.2X = 4,300X = $21,500.

Therefore, if the economy is good, Fund A's return should be $21,500 for there to be indifference between Fund A and the fund B.

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The equation that represents the directrix of y² = 12x is x = -3

The parabola is given as:

y² = 12x

The general equation of a parabola is

(y-y₀)² = 4a(x-x₀)

Where the equation of the directrix is x = x₀ - a

By comparing (y-y₀)² = 4a(x-x₀) and y² = 12x, we have:

4a = 12 and x-x₀ = x

Solve for a in 4a = 12

a = 3

Solve for x₀ in x-x₀ = x

x₀ = 0

Substitute a = 3 and x₀ = 0 in x = x₀ - a

x = 0 - 3

Evaluate

x = -3

Hence, the equation that represents the directrix is x = -3

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