Which is a better deal? Three movie tickets for 18 dollars or 8 movie tickets for 42 dollars? How do you know? How much money do you save per ticket with the better deal?

Answer:

m∠L = 78°

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides are equal and parallel.

2). Diagonals are equal in measure .

3). Opposite angles are equal in measure.

4). Consecutive angles are supplementary

5). Diagonals bisect each other.

By the property number (3),

m∠J ≅ m∠L

(8x - 2) = (6x + 18)

8x - 6x = 18 + 2

2x = 20

x = 10

Therefore, m∠L = (6x + 18)

                          = 60 + 18

                          = 78°

Answer: Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Given the following :

DETERGENT A:

48 fluid ounces

Cleans 16 loads of dishes

DETERGENT B:

76 fluid ounces

Cleans 38 loads of dishes

DETERGENT A:

Fluid ounces per load :

48 / 16 = 3 (3 fluid ounce per load)

DETERGENT B:

Fluid ounce per load :

76 / 38 = 2 ( 2 fluid ounce per load)

3 - 2 = 1 fluid ounce per load.

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Answer:

A dilation was applied because the diameter of the circle decreased.

Step-by-step explanation:

Dilation is a process of either increasing or decreasing the size of a given figure without changing its shape. The resizing process make use of a scale factor to produce a dilated image of the given figure.

In the given question, it can be observed that the circle with center M has a diameter of 6 units, while that with center N has a diameter of 3 units. Thus circle M has been dilated with a scale factor of [tex]\frac{1}{2}[/tex] to produce circle N.

Therefore, a dilation was applied because the diameter of the circle decreased.

Answer:

I believe it is A

Answer:

[tex]z=-0.842<\frac{a-30}{7.8}[/tex]

And if we solve for a we got

[tex]a=30 -0.842*7.8=23.432[/tex]

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(30,7.8)[/tex]  

Where [tex]\mu=30[/tex] and [tex]\sigma=7.8[/tex]

For this part we want to find a value a, such that we satisfy this condition:

[tex]P(X>a)=0.80[/tex]   (a)

[tex]P(X<a)=0.20[/tex]   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.20[/tex]  

[tex]P(z<\frac{a-\mu}{\sigma})=0.20[/tex]

But we know which value of z satisfy the previous equation so then we can do this:

[tex]z=-0.842<\frac{a-30}{7.8}[/tex]

And if we solve for a we got

[tex]a=30 -0.842*7.8=23.432[/tex]

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Answer:

z = 110°

Step-by-step explanation:

Since the figures are similar then corresponding angles are congruent, thus

∠ H = ∠ D = 110°, that is

z = 110°

Answer:

this is ur answer so memories

Answer:

She will save 62.40

Step-by-step explanation:

First find the total amount she makes

hours times hourly rate

19.5 * 12.80

249.60

She saves 1/4 of this, so multiply by 1/4

1/4 * 249.60

62.40

She will save 62.40

Answer:

62.40

Step-by-step explanation:

Answer:

37,500

Step-by-step explanation:

0.2x+0.1(x−0.2x)=105000.2x+0.1(x−0.2x)=10500

0.3x−150x=105000.3x−150x=10500

15x−x50=1050015x−x50=10500

x=10500∗5014=1500∗25=37500

Answer:

Option (A)

Step-by-step explanation:

There are two inequalities drawn on a graph.

x + 2y ≤ 4 ------(1)

3x - y ≤ 2 -------(2)

Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

Solution area of these inequalities will be the common area shaded in green.

Graph given in Option (A) will be the answer.

Answer:

see explanation

Step-by-step explanation:

(b)

The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is

x = - 1 and x = 3

(c)

f(0) is the point on the y- axis where the graph crosses, that is 3, thus

f(0) = 3

Answer:

Option A

Step-by-step explanation:

The median is the value that lies in the middle of the data when the data set is ordered.

It is also the value that separates the higher half of the dataset from the lower half of the dataset.

Answer:

B

Step-by-step explanation:

Answer:

  see attachment

Step-by-step explanation:

When there are quite a few similar calculations to do, it can work well to let a spreadsheet do them.

5. The Pythagorean theorem applies for finding the unknown side:

  DF = √(FE^2 -DE^2) = 3.0

The angles can be found using any of the trig functions. Since we were given the length of a side and the hypotenuse, we choose to use the sine function:

  Sin = Opposite/Hypotenuse

  opposite angle = arcsin(Opposite/Hypotenuse)

In the spreadsheet, Leg 1 is the given leg, and Leg 2 is the computed leg. The associated Angle 1 and Angle 2 are opposite those legs:

 ∠F = 59°

  ∠E = 31°

__

6. In this section, there are two kinds of problems. One has the hypotenuse and an angle given (HA problems). The other has a leg and its opposite angle given (LA problems).

HA problems (6c, 6e, 6f)

We call the given angle "Angle 1" and compute the other angle as its complement. The side opposite Angle 1 is Leg 1. It is computed using the sine relation above.

  Opposite = Hypotenuse×Sin

  x = 16·sin(60°) = 13.9 . . . . . . . . . . for problem 6c

Then the Adjacent leg is found using the cosine relation:

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse×Cos

  y = 16·cos(60°) = 8.0 . . . . . . . . . . for problem 6c

As in problem 5, the missing angle is computed as the complement of the given angle.

  missing angle = 90° -60° = 30° . . . . . . for problem 6c

__

LA problems (6a, 6b, 6d)

The calculations for these problems are similar, except that we compute the hypotenuse first using the sine relation.

  Hypotenuse = Opposite/Sin

  u = 2/sin(30°) = 4.0 . . . . . . . for problem 6a

As in the above problems, we computed the missing leg using the cosine function and the hypotenuse.

  v = 4.0·cos(30°) = 3.5 . . . . . for problem 6a

And the missing angle is computed the same as for HA problems.

  missing angle = 90° -30° = 60° . . . . for problem 6a

_____

The computations are done in the spreadsheet using the formulas described above. The matchup of Leg1, Leg2, Angle1, and Angle2 to the problem variables and vertices is left to the student. As we said, Leg1 and Angle1 are opposite each other, and correspond to the given leg and/or angle.

_____

Comment on radians

When using sine and cosine functions in a spreadsheet, one needs to be aware that their arguments must be in radians. Fortunately, the spreadsheet provides functions for converting angles back and forth between degrees and radians. Similarly, the arcsin function used in problem 5 gives its result in radians, so requires conversion to degrees.

Answer:

58 inches

Step-by-step explanation:

This is a right angled triangle. We would use Trigonometric function of Sine to solve the question

θ = 60°

From the above question, the following values were obtained:

Hypotenuse = 67 inches long

The height in the upper edge above the ground = Opposite side

Sin θ = Opposite/ Hypotenuse

Sin 60° = Opposite/67 inches

Cross Multiply = Sin 60° × 67 inches

= 58.023702054 inches

≈ 58 inches

Therefore, the height in inches of the upper edge is 58 inches

Answer:

n² - 2n + 2

Step-by-step explanation:

The difference in the pattern are odd numbers.

2 - 1 = 1

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

So there is a -2n in the nth term.

If we subtract 1 on each term.

0, 1, 4, 9, 16

We get whole squares.

So there is a n² in the nth term.

(1)² - 2(1)+ c = 1

1 - 2 + c = 1

-1 + c = 1

c = 2

The nth term is:

n²-2n+2

Answer:

The sum of all the sweets is 54 sweets

Step-by-step explanation:

Here, we want to calculate the number of sweets the three have altogether.

Let the number of sweet Faith has be x

Mathematically;

Faith has 4 sweets fewer than the average number of sweets

The average is the sum of all the sweets divided by 3

The average will be (10 + 30 + x)/3

Thus;

(10 + 30 + x)/3 - 4 = x

(40 + x)/3 = x + 4

40 + x = 3(x + 4)

40 + x = 3x + 12

40-12 = 3x -x

28 = 2x

x = 28/2

x = 14 sweets

So the sum of all the sweets would be 10 + 30 + 14 = 54 sweets

Answer:

To simplify the ratio make sure that the units are the same

5m:240cm

Change the meters into centimeters

That's

1m = 100cm

5m = 500cm

So we have

500cm:240cm

500/240

= 25/12

= 25:12

Hope this helps

Answer:

25:12

Step-by-step explanation:

First you have to convert both amounts into the same unit. So;

5m × 100 = 500 cm

We're multiplying by 100 because a metre is 100 times bigger than 1 cm.

This changes the ratio from 5:240 to 500:240, which makes it easier to get to your end result.

Now, find the Highest Common Factor of both 500 and 240 - much like you do when simplifying fractions.

Factors of 240 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240.

Factors of 500 = 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 and 500.

We then divide both numbers by the HCF, which we've just figured out is 20;

240 ÷ 20 = 12

500 ÷ 20 = 25

Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have

[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]

We have everything we need to calculate the volume of the cone.

[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]

If we want to get the approximate volume, we must use the approximation of the number π.

[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]

[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]

Answer:

The person above me is wrong, the answer is 3

Step-by-step explanation:

I got it right on the test

Answer:

2.95x+39.95(12).

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

hope this helps

Answer:

Speedy Texting

3a. In the equation, 10r + 4 = 8

r = 0.4 or 40%

3b. The variable r represents an independent variable in the equation.  An independent variable is a variable that is not dependent on another variable, instead other variables depend on it.  Whatever its value is changes the value of other variables in the equation.

Step-by-step explanation:

a) Solving the equation:

10r + 4 = 8

10r = 8 - 4

10r = 4

r = 4/10 = 0.4 or 40%

Answer:

Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)

Step-by-step explanation:

Answer on Question # 55533 - Chemistry - General chemistry

Question:

1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1

kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction

N2O(g) + NO2(g) = 3 NO(g); Show your work.

2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the

following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):

CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ

3. Using average bond enthalpies, predict which of the following reactions will be most

exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +

2 OF2(g)

Solution

1)

N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)

2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)

2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)

2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)

N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ

2)

CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ

ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);

ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn

ΔHf°(C2H2) = 227.4 kJ/mol

ΔHf°(Ca(OH)2) = -985.2 kJ/mol

ΔHf°(H2O) = -285.8 kJ/mol

ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol

3)

a) C(g) + 2 F2(g) = CF4(g)

b) CO(g) +3 F2(g) = CF4(g) + OF2(g)

c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)

C-F bond enthalpy 440 kJ/mol

C=O bond enthalpy in carbon dioxide 805 kJ/mol

C=O bond enthalpy in carbon monoxide 1077 kJ/mol

O-F bond enthalpy 184 kJ/mol

F-F bond enthalpy 153 kJ/mol

a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic

b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ

c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ

Answer:

x = 5/3 or x = -3

Step-by-step explanation:

3x² + 4x - 15 = 0

Factor left side.

(3x - 5)(x + 3) = 0

Set factors equal to 0.

3x - 5 = 0

3x = 5

x = 5/3

x + 3 = 0

x = -3

Answer:

x = -3             OR         x = 5/3

Step-by-step explanation:

=> [tex]3x^2+4x-15 = 0[/tex]

Using mid term break formula

=> [tex]3x^2+9x-5x-15 = 0[/tex]

=> 3x(x+3)-5(x+3) = 0

Taking x-3 common

=> (x+3)(3x-5) = 0

Either

x+3 = 0         OR       3x-5 = 0

x = -3             OR         x = 5/3

Step-by-step explanation:

Hello there!!

You can find it through simple way of ratio of sin or also by using cosine rule.

Lets do it simply as i can see your just 1st pic not second one so, i will answer you according to it.

so, here in question a Right angled triangle is given, with one angle 31° and one side 15 cm.

let's take sin angle as sin 31°.

so, p=h

h=15

We dont need base (b) here.

As we know that, thesin in ratio angle is

sin thita = p/h

or, sin 31°=h/15

or, 0.515038×15=h (using calculator sin 31°=0.515038.)

Therefore, the answer is 7.722557cm or 8cm.(as 7>5 and rounding off it we get 8).

Hope it helps...

The value of h in the right angled triangle is 7.7 cm.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

In the diagrams, using trigonometric ratio:

a) sin(31) = h/15

h = 7.7 cm

b) cos(24) = h/13

h = 11.9 cm

c) sin(37) = h/15

h = 9 cm

d) cos(47) = h/12

h =8.2 cm

e) sin(48) = h/18

h = 13.4 cm

The value of h in the right angled triangle is 7.7 cm.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Answer:

1/7

Step-by-step explanation:

There are seven people in all on person will arrive at a different time than others. Every single one of them arrives at different times so it's 1/7

Answer:

The first option (5^2 + 8^2 = c^2).

Step-by-step explanation:

According to the Pythagorean Theorem, a^2 + b^2 = c^2.

If a is 5 cm, and b is 8 cm, you would have the following equation...

5^2 + 8^2 = c^2.

That matches with the first option.

Hope this helps!

Answer:

  41%

Step-by-step explanation:

The table shows that 36 of the 88 students that like traveling out of state do not like camping. That percentage is ...

  36/88 × 100% ≈ 41%

Answer:

[tex]a_{10}=124[/tex]

Step-by-step explanation:

In an arithmetic sequence, we are given that:

[tex]a_{17}=82\\d=-6[/tex]

The nth term of an arithmetic sequence, [tex]a_n=a+(n-1)d[/tex]

When n=17, [tex]a_{17}=82,d=-6[/tex], we have:

[tex]a_{17}=a+(17-1)(-6)[/tex]

82=a+(16)(-6)

82=a-96

a=82+96

a=178

Therefore, the 10th term of the sequence

[tex]a_{10}=178+(10-1)(-6)\\=178+9(-6)\\=178-54\\a_{10}=124[/tex]

Answer:

1/1001 < 4/10 < 49/100 < 357/10

Step-by-step explanation:

4/10 => 0.4

49/100 => 0.49

357/10 => 35.7

1/1001 => 0.0009

Ascending order is from smallest to the greatest.

Answer:

1/1001, 4/10, 49/100, 357/10

Step-by-step explanation:

Convert the fractions to decimals.

4/10 = 0.4

49/100 = 0.49

357/10 = 35.7

1/1001 = 0.0009

Arrange in ascending order.

0.0009, 0.4, 0.49, 35.7

Change back to fractions.

Answer:

a) 0.3.

b) 1.

Step-by-step explanation:

Note: The scale of probability is not given properly. So, the probability of following events are given below:

It is given that,

Total number of sweets in a bag = 10

Red sweets = 4

Green sweets = 2

Yellow sweets = 3

Purple sweet = 1

a)

We need to find the probability of choosing a yellow sweet.

[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(Y)=\dfrac{3}{10}[/tex]

[tex]P(Y)=0.3[/tex]

Therefore, the probability of choosing a yellow sweet is 0.3.

b)

We need to find the probability of choosing a sweet that is not orange.

[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(O')=1-\dfrac{0}{10}[/tex]

[tex]P(O')=1[/tex]

Therefore, the probability of choosing a sweet that is not orange is 1.

Probabilities are used to determine the chances of events.

The probability scale is not given; so, I will give a general explanation.

The given parameters are:

[tex]Red = 4[/tex]

[tex]Green = 2[/tex]

[tex]Yellow= 3[/tex]

[tex]Purple = 1[/tex]

[tex]Total = 10[/tex]

(a) The probability of choosing a yellow sweet

This is calculated using:

[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]

So, we have:

[tex]P(Yellow) = \frac{3}{10}[/tex]

Divide 3 by 10

[tex]P(Yellow) =0.3[/tex]

Hence, the probability of choosing a yellow sweet is 0.3

(b) The probability of choosing a sweet that is not orange

This is calculated using:

[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]

So, we have:

[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]

Divide 0 by 10

[tex]P(Not\ Orange) = 1 - 0[/tex]

[tex]P(Not\ Orange) = 1[/tex]

Hence, the probability of choosing a sweet that is not orange is 0

Read more about probabilities at:

https://brainly.com/question/251701

Answer :

Answer:

17

Step-by-step explanation:

This is a very neat problem -- for teachers.

Let the number of sides = y

The sum of the interior angles is 180*(y - 2)

We are told that this sum equals 9x^2

So far the equation is

(y - 2)*180 = 9x^2                   Divide both sides by 9

(y - 2)*20 = x^2                       Remove the brackets on the left.

20*y - 40 = x^2

We need another fact. We get that from the statement that x is three greater than the number of sides (y). Therefore y = x - 3

20*(x - 3) - 40 = x^2

20x - 60 - 40 = x^2       Combine like terms on the left

20x - 100 = x^2             Bring the left side to the right side.

0 = x^2 - 20x + 100      You have a quadratic.

a = 1

b = - 20

c = 100

When you solve the quadratic equation, you get

x = 20

Therefore the number of sides is 17.