last question below, or select another question
For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total
of $605, how many of the tickets were adult tickets and how many were sold to kids under 12?

Answer:

1/510

Step-by-step explanation:

Answer:

9 divided by 4,590= 0.00196078431

Step-by-step explanation:

its best to use the calculator after solving any equation.

Answer:

Step-by-step explanation:  if he walks he walks 3.75 miles to jared's house and 1 mile walking is 15 minutes and roughly 11 more minutes for the 0.75 miles extra he walks and 3 miles = 45 minutes so he walks in total 45 + 11 so 56 minutes and he spends 1 hour and 48 minutes in his house so 60 minutes = 48 minutes which is 108 - 56 minutes = 52 minutes

Answer:

1,124 pennies.

Step-by-step explanation:

Let x represent the total amount of coins Christine's penny bank can hold.

We know that it is initially 1/5 full. So, the amount of coins in the bank is:

\(\frac{1}{5}x\)

We know that she adds 562 pennies in it. So, we will add 562 to our expression:

\(\frac{1}{5}x+562\)

And we know that after adding 562 pennies, the bank is now 7/10 full. Therefore:

\(\frac{1}{5}x+562=\frac{7}{10}x\)

To find out how many coins the bank can hold, we will simply solve for x.

First, let's multiply both sides by 10 to remove the fractions:

\(10(\frac{1}{5}x+562)=10(\frac{7}{10}x)\)

Distribute:

\(2x+5620=7x\)

Subtract 2x from both sides:

\(5x=5620\)

Divide both sides by 5:

\(x=1124\)

Therefore, Christine's penny bank can hold a maximum of 1,124 pennies.

And we're done!

Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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Captain Smollett expects to happen with:

D. Mr. Trelawney and Dr. Livesey will fix all the issues he mentioned. Captain Smollett will be allowed to find a new crew.

In chapters 7-9 of Treasure Island, Captain Smollett expresses his concerns about the voyage and the crew to Mr. Trelawney and Dr. Livesey. He lists several issues, including the lack of experienced sailors, the behavior of the crew, and the possibility of mutiny.

However, he does not expect to be fired or killed, and he does not want the voyage to be cancelled. Instead, he hopes that Mr. Trelawney and Dr. Livesey will address these issues and allow him to find a new crew, so that the voyage can continue safely and successfully.

In Treasure Island, Captain Smollett expresses his concerns about the voyage and the crew to Mr. Trelawney and Dr. Livesey in chapters 7-9, and he hopes that they will address these issues and allow him to find a new crew, so that the voyage can continue safely and successfully. He does not expect to be fired or killed, and he does not want the voyage to be cancelled.

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The distance traveled by the center of the wheel (from time t = 0 seconds to time t = 3 seconds) starting from rest that has an angular acceleration of 6 rad/s² is 13.5 meters

Angular motion can be described the motion of a body around a circular path or a curved path around a fixed axis.

Radius of the wheel, r = 0.5 meters

The wheel rolls starting from rest without sliding on the horizontal surface

Constant angular acceleration of the wheel = 6 rad/s²

The angle rotation, θ, of the wheel can be found by the formula;

θ = θ₀ + ω₀·t + (1/2)·α·t²

Where;

θ = Rotation of the wheel

θ₀ = Initial angular rotation of the wheel = 0 (The wheel is initially at rest)

ω₀ = The angular velocity of the wheel at the start = 0 (The wheel starts from rest)

α = The angular acceleration of the wheel = 6 rad/s²

Therefore;

θ = 0 + 0 + 0.5 × 6 × 3² = 27

The angle turned by the wheel = 27 radians

The linear displacement of the, d = r·θ

Therefore;

The distance traveled by the wheel, r·θ = 0.5 m × 27 rad = 13.5 m

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Complete question; To find the the distance traveled by the center of the wheel from t = 0 seconds to t = 3 seconds

Answer:

Domain: (-∞, 1]

Range: (-∞, 3]

Step-by-step explanation:

The function starts at point (1, 3) and goes to the left and down forever.

Domain: (-∞, 1]

Range: (-∞, 3]

Answer:

Domain: \((-\infty, 1]\)

Range: \((-\infty, 3]\)

Step-by-step explanation:

The domain of a function represents the range of x-values that are part of the function, read left to right. We can see that the function goes forever to the left and stops at \(x=1\) when we read left to right. Therefore, the domain of this function is \(\boxed{(-\infty, 1]}\).

The point at \(x=1\) is a filled-in solid dot so it is included as part of the function. Use square brackets to denote inclusive.

The range of a function represents all y-values that are part of the function, read bottom to top. The function continues down forever and stops at \(y=3\) when read bottom to top. Therefore, the range of this function is \(\boxed{(-\infty, 3]}\). Similar to the domain, we use a square bracket on the right to indicate that \(y=3\) is included in the function. If the dot was not filled-in, then we would use a parenthesis to indicate that \(y=3\) would not be part of the function.

Answer:

B

Step-by-step explanation:

The other choices are terminal numbers which makes them rational numbers but square root of 19 is an irrational number because square root of 19 is 4.3588989.... This makes it an irrational number since it's just random numbers after the decimal point.

Answer:

The answer is z < -8. First of all, you use distributive property to get rid of the brackets. 3(z) = 3z and 3(1) = 3. The left side of the equation is now 3z + 3 + 11. Then, on the other side, -2(z) = -2z and -2(13) = -26. The right side of the equation is now -2z - 26. Then we combine like terms on the left side so we end up with 3z + 14 while the other side is still -2z - 26. We can put all of the z on the left side, so add 2z to both sides and then we have 5z + 14 < -26. We can put all of the “regular” numbers on the right side, so subtract 14 from each side and then we have 5z < -40. Divide each side by 5 and you end up with z < -8!

Step-by-step explanation:

Answer:

105 R0

Step-by-step explanation:

Answer:

105, R=0

Step-by-step explanation:

525/5 = 105, no remainders in the answer as 525 is an exact multiple of 5

Answer:

18

Step-by-step explanation:

bc it is asking for the absolute value

The development made to the Judaism is mentioned below;

Action as Leader;

Abraham;

Abraham's care for others is one of his leadership strengths. Abraham expressed his sorrow for Sodom and Gomorrah when the Lord informed him that they would be destroyed. He "stick his neck out for his people," as one who cares for others. He pleaded with God on their behalf.

Moses;

Early on, Moses realized he didn't have to handle everything by himself. He eventually succeeded as a leader by using delegation.

David;

As a man of God, David had learned to wait on the Lord, but he also had to learn how to be patient with those around him.

Solomon;

His name in Hebrew means peace and he used his wisdom to bring about peace in the world through deeds rather than conquest.

Contribution to Judaism

Abraham;

Before Abraham, people believed in multiple gods; Abraham was the first to preach that there is only one God. Ironically, Terach, Abraham's father, had made a fortune by selling idols of several deities.

Moses;

The Jews were delivered from slavery in Egypt by Moses, who also guided them to the Holy Land that God had promised.

David;

Many of the Old Testament Psalms are attributed to him; they were probably penned on his renowned lyre, upon which he was reputed to be a master.

Solomon;

As the Israelite monarch who constructed the first Temple in Jerusalem, Solomon is well-known. He was also the second and final king of a united Israel, which was at the height of its power during his rule (after his father, David).

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Answer:

Below are the steps to take

The reflection of the point (–4, 6) across both axes is (b) (4, -6)

From the question, we have the following parameters that can be used in our computation:

Point = (-4, 6)

The rule of reflections across both axes is

(x, y) = (-x, -y)

Using the above as a guide, we have the following:

Image = (4, -6)

Hence, the reflection of the point (–4, 6) across both axes is (b) (4, -6)

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If the ion has a charge of +7, in irder to get to neutral (charge zero), one needs to subtract 7 charges from it. Therefore it is -7 far from being neutral.

Then the correct answer is option "b" in the list.

Answer:

36 Bins are needed .

Step-by-step explanation:

3×2×1.5/12×8×6

= 36

Step-by-step explanation:

the answer would be 4 glasses of water

Answer:(7/3)x - 8/3.

Step-by-step explanation:

To simplify this expression, you need to distribute the 1/3 to the expression inside the parenthesis. This gives:

1/3(5x-8) = (1/3)*5x - (1/3)*8 = (5/3)x - (8/3)

Now, you can distribute the 2/3 to the x-term:

2/3x = (2/3)x

Putting the two terms together, you get:

(5/3)x - (8/3) + (2/3)x = (5/3 + 2/3)x - 8/3 = (7/3)x - 8/3

So, the simplified expression is (7/3)x - 8/3.

Answer:

Step-by-step explanation:

1/3(5x-8)+2/3x

multiply everything by the LCM of the denomenators

LCM of the denomenators=3

1/3 x 3=0

(5x-8)x3=15x-24

2/3x x3=2x

15x+2x-24

=17x-24

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

0.04 rad/sec

Step-by-step explanation:

A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 50 meters above the ground.

The rate of rise = dh/ dt = 4 m/s

h is the height of the balloon = 50 meters

Tanθ = opposite/ adjacent

tanθ = h / 50

Differentiating both sides of the equation with respect to t:

d(tanθ) / dt = (d/dt)(h/50)

dtanθ / dt = (dh/dt)(1/50)

But dh/dt = 4 m/s, dtanθ/dt = sec²θ

\(sec^2\theta\frac{d\theta}{dt} = (4)(1/50)\\\\sec^2\theta=\frac{1}{cos^2\theta}\\\\\frac{1}{cos^2\theta} \frac{d\theta}{dt} =0.08\\\frac{d\theta}{dt} =cos^2\theta(0.08)\\\\At\ h=50/ m\\\\tan\theta=\frac{h}{50}\\ \\tan\theta=\frac{50}{50}=1\\\\\\\theta=tan^{-1}1=45^o\\\\Substituting\ \theta=45^o:\\\\\frac{d\theta}{dt} =cos^2(45)*(0.08)\\\\\frac{d\theta}{dt}=0.04\ rad/sec\)

The correct order of reasons that complete the proof about the rectangle and square is that D. definition of congruence, distance formula if two consecutive sides of a rectangle are congruent, then it's a square.

It should be noted that congruence simply means an agreement or a correspondence between shapes.

In geoemtry, it should be noted that figures are said to be congruent if it is possible to superpose one of them on another.

It should be noted that the opposite sides of a rectangle are parallel while in a square, all the sides that are given are equal.

Therefore, the correct order of reasons that complete the proof about the rectangle and square is the definition of congruence, and that if two consecutive sides of a rectangle are congruent, then it's a square.

In conclusion, the correct option is D.

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The future value F of the given principal under compound interest for the

time period and interest rate specified is $17,149.99.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = the number of times compounded in a year.

We have,

t = 13 years

r = 2.75%

Compounded monthly

This means,

n = 12

P = $12,000

Now,

A = P \((1 + r/n)^{nt}\)

A = 12000 \((1 + 0.00229)^{156}\)

A = $17,149.99

Thus,

The future value is $17,149.99.

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Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Complete  Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  d

Step-by-step explanation:

From the question we are told that

   The set of people in a certain community who were asked if they subscribe to an information source is  U

    The  set that subscribes to The Daily Informer is  D

      The set that subscribe to News Magazine is  N

Here the universal set is  U

Now the word at least here means that the person can subscribe to one or two of the information source , but the person  cannot subscribe none of the information source

Now to get the set that represents the set of people surveyed who subscribe to at least one of the two news sources , we need to carry out a union operation on the sets representing the two news source , this can be mathematically represented as

      \(L  =  N \  u \  D\)

So the sets that will contain all the people in the community that subscribe to at least one of the news source is  L