Meal tickets at the circus cost $4.00 for children and $12.00 for adults. If 1,650 meal tickets were bought for a total of $14,200, how many children and how many adults bought meal tickets? Just type the number of children followed by the number of adults with a comma in between.

Answer:20 incorrect questions

Step-by-step explanation: using the ratio formula

Add up the correct n incorrect

4+9= 13 is the total ratio

Incorrect answer ratio is 4

So to know the number of incorrect answer is

4/13* number of questions on the test

4/13* 65= 20 incorrect answer

Answer:

∠2 and ∠3

Step-by-step explanation:

Given:

lines a and line b are parallel and cut by transversal.

We need to find the which angles from line a are congruent to ∠7

Solution:

Now we know that;

line a║line b , So by corresponding angle postulate which states that;

"When two parallel lines are cut by a transversal , the resulting corresponding angles are congruent."

so  we can say that;

∠2 ≅ ∠6

Also by Vertical angle theorem which states that;

"If two angles are  vertical angles, then they are congruent ."

so  we can say that;

∠2 ≅ ∠3    and  ∠6 ≅ ∠7

So by Transitive Property of Congruence which states that;

When [tex]a \cong b\ \ \ and \ \ \ b\cong c \ \ \ so \ \ \ a\cong c[/tex]

so  we can say that;

∠2 ≅ ∠3 ≅ ∠6 ≅ ∠7

Hence measure ∠2 and ∠3 are congruent to measure ∠7.

Answer: it’s C

Step-by-step explanation:

Answer:

76.8

Step-by-step explanation:

Answer:

-8 ≤w ≤-2

Step-by-step explanation:

The inequality -8 ≤ w ≤ -2 combines the given conditions into a single expression stating that the variable 'w' can take any value between -8 and -2 inclusive.

In mathematics, when a single variable needs to satisfy multiple inequalities, we can write it in a combined form. Your conditions state that 'w' is less than or equal to -2, and 'w' is also greater than or equal to -8. This can be combined into a single inequality as follows: -8 ≤ w ≤ -2. This inequality indicates that the variable 'w' can take any value from -8 to -2, inclusive.

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Answer:

V≈950.3

Step-by-step explanation:

d = 12.2mm

r = 1/2 d = 6.1

V = 4/3 Pi r^3

V = 1.33 (3.14) (6.1)^3

V = 950.3

Final answer:

In the sales comparison approach, using comparables of different ages requires adjustments for age or vintage to estimate the accurate value of the subject property considering physical and economic differences.

Explanation:

In the sales comparison approach, the use of comparables that vary significantly in age compared to the subject property is an example of adjusting for age or vintage. When appraising a subject property that is 10 years old, by using comparables that are five and 15 years old, an appraiser is attempting to account for differences in physical deterioration, functional obsolescence, and external obsolescence that may exist. A key part of this approach is applying adjustments to the comparables to reflect these differences, thereby arriving at a more accurate value for the subject property.

It is important to ensure that the base year used for comparison is consistent, and adjustments are made for any significant differences in market conditions or property features. The age adjustment is just one of many adjustments that might be made, including location, size, and condition. This process requires careful consideration and professional judgment to ensure that the end value is reflective of the current market.

Answer:

Yes ,it represents a binomial experiment.

Step-by-step explanation:

In order for a probability experiment to represent a binomial experiment ,there are three conditions.

1) There should be a fixed number of trials.

2) Trials should be independent.

3)Each trial can result in two outcomes.

In this experiment ,there is a fixed number of trial ,since it is administered to 180180 individuals.

Outcome on an individual does not affect the outcome of others.

Individuals respond as favorably or not ,so it can be reduced to two outcomes.

All conditions are met, so it can be considered as binomial experiment.

Answer:

Step-by-step explanation:

The lunch bill for marty and breanna at a dinner totaled $18.37. Tax on the meal was 6%. The amount of tax on the meal would be

6/100 × 18.37 = 0.06 × 18.37 = $1.1022

Cost of the meal including the tax would be

18.37 + 1.1022 = $19.4722

They wanted to leave a 15% tip. The amount of the tip would be

15/100 × 18.37 = 0.15 × 18.37 = $2.7555

Therefore, the total cost of the meal, including tax and tip would be

19.4722 + 2.7555 = $22.23

It will take 4 seconds for the rock to hit the water.

To find out when the rock hits the water, we need to determine the time at which the height h becomes 0, because hitting the water means the height is 0.

Given the equation for the height h of the rock as a function of time t:

[tex]\[ h = -16t^2 + 52t + 48 \][/tex]

We set h to 0 and solve for t:

[tex]\[ 0 = -16t^2 + 52t + 48 \][/tex]

This is a quadratic equation. We can solve it using the quadratic formula:

[tex]\[ t = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]

Where a = -16, b = 52, and c = 48 .

Plugging in these values:

[tex]\[ t = \frac{{-52 \pm \sqrt{{52^2 - 4(-16)(48)}}}}{{2(-16)}} \][/tex]

[tex]\[ t = \frac{{-52 \pm \sqrt{{2704 + 3072}}}}{{-32}} \][/tex]

[tex]\[ t = \frac{{-52 \pm \sqrt{{5776}}}}{{-32}} \][/tex]

[tex]\[ t = \frac{{-52 \pm 76}}{{-32}} \][/tex]

Now we have two possible values for t:

[tex]\[ t_1 = \frac{{-52 + 76}}{{-32}} \][/tex]

[tex]\[ t_2 = \frac{{-52 - 76}}{{-32}} \][/tex]

[tex]\[ t_1 = \frac{{24}}{{-32}} = -\frac{3}{4} \][/tex]

[tex]\[ t_2 = \frac{{-128}}{{-32}} = 4 \][/tex]

Since time cannot be negative, we discuss, and the only valid solution is t = 4.

Therefore, it will take 4 seconds for the rock to hit the water.

Answer:64mi/hour

Step-by-step explanation:

V=speed × time

V=s×t .....equation (1)

v=576

for taking one hour: t-1

speed is: s+8

From equation(1)

V=(s+8)(t-1)

(s+8)(t-1)=576

Expand the bracket

st-s+8t-8=576

Substitute the value of st which is 576

576-s+8t-8=576

Collect the like terms

-s+8t-8=0

s=8t-8

Subtitude into the value of s

576= (8t-8)×t

576=8t^2-8t

8t^2-8t=576

8t^2-8t-576=0 (divide both by 8)

t^2-t-72=0

By factorization method

Product is (-9 and 8)

(t-9)(t+8)=0

t=9 or t=-8

V=s×t

576=s×9

9s=576

s=576/9

s=64mi/hour

Answer:

8. A

9. C

10. A

Answer:

The answer is letter A, Ed, Derek, Mike, Tom

Explanation:

The question is asking for the order from the 1st to the 4th (first to last). All you have to do is to follow the instruction or draw an illustration (if you can).

If Derek is 10 yards ahead of Mike, this means that Derek's position is ahead of Mike.

If Mike is 5 yards ahead of Tom, then this means that Mike's position is ahead of Tom.

If Ed is 20 yards ahead of Derek, then this means that Ed's position is ahead of Derek.

If Derek is ahead of Mike, Mike being ahead of Tom and Ed being ahead of Derek, then you'll be able to tell the positions now.

This means that the 1st runner is Ed, while the second runner is Derek. The third runner is Mike, while the fourth runner is Tom.

Thus, this explains the answer.

The correct order of runners from 1st to 4th based on their positions relative to each other is Ed, Derek, Mike, Tom. This placement was determined by analyzing the distances between each runner as provided.

To solve this problem, let's visually represent the position of each runner in relation to each other based on the information provided. We start by listing the distances given in the question: Ed is 20 yards ahead of Derek, Derek is 10 yards ahead of Mike, and Mike is 5 yards ahead of Tom. This information allows us to order the runners from first to last.

Therefore, the correct order from 1st to 4th is Ed, Derek, Mike, Tom, which corresponds to option A. Ed,Derek,Mike,Tom.

Answer:

Step-by-step explanation:

Let m represent the number of miles that she drives per day.

She works 5 days per week. This means that the total number of miles that she drives in a week would be

5 × m = 5m

Ms.Franks drives a maximum of 150 miles per week to and from work. Therefore, the inequality that shows m the number of miles she drives per day would be

5m ≤ 150

m ≤ 150/5

m ≤ 30

Answer:

  8 groups

Step-by-step explanation:

The number of possible groups can be found from ...

  (10.5 cups)/(1.2 cups/group) = 8.75 groups

Ms. Paulino has enough candy to give the exact amount required to 8 groups.

_____

She will have (3/4)×(1 1/5) = 9/10 of a cup of candy left over.

Step-by-step explanation:

Let l be the length of track.

Running speed = 4 m/s

Jogging speed = 2 m/s

Total time taken = 2 minutes 6 seconds. = 126 seconds

That is

            [tex]\frac{l}{4}+\frac{l}{2}=126\\\\0.75l=126\\\\l=168m[/tex]

Length of track is 168 meter

To find the length of the track, we need to calculate the time it took for the sprint and the jog back, and set up an equation using the formula for distance. Simplifying the equation will give us the length of the track. The length of the track is 168 meters.

To find the length of the track, we need to use the formula for distance: distance = rate × time. Let's call the length of the track 'd' meters. The sprinter ran to the end of the track at 4 meters per second, so the time it took for the sprint is d/4 seconds. The jog back to the starting point at 2 meters per second takes a time of d/2 seconds. And the total time given is 2 minutes 6 seconds, which can be converted to seconds as 126 seconds. So we can set up the equation: d/4 + d/2 = 126.

Simplifying the equation, we can multiply each term by 4 to get d + 2d = 504. Combining like terms gives us 3d = 504. Dividing both sides by 3, we find that the length of the track is d = 168 meters.

Therefore, the length of the track is 168 meters.

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Answer:

The number is 95.

Step-by-step explanation:

Solution,

Let the number be 'x'.

So, [tex]\frac{2}{5}[/tex] of 'x' = [tex]\frac{2}{5}x[/tex]

Now according to question, [tex]\frac{2}{5}x[/tex] is equal to 38.

So we can frame it as;

[tex]\frac{2}{5}x=38[/tex]

Now we solve it;

For solving it we will multiply both side by '5' using multiplication property and get;

[tex]\frac{2}{5}x\times5=38\times5\\\\2x=38\times5[/tex]

Now using division property, we will divide both side by '2' and get;

[tex]\frac{2x}{2}=\frac{38\times5}{2}\\\\x=19\times5=95[/tex]

Hence The number is 95.

Answer:

The answer to your question is    the second option     [tex]\frac{1}{x^{48}y^{36}z^{6}}[/tex]

Step-by-step explanation:

Expression

                       [tex][\frac{(x^{2}y^{3})^{-2}}{(x^{6}y^{3}z)^{2}}]^{3}[/tex]

Process

1.- Divide the fraction in numerator and denominator

a) Numerator  

 [(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸

b) Denominator

 [(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶

2.- Simplify like terms

a) x⁻¹²x⁻³⁶ = x⁻⁴⁸

b) y⁻¹⁸y⁻¹⁸= y⁻³⁶

c) z⁻⁶

3.- Write the fraction

        [tex]\frac{1}{x^{48}y^{36}z^{6}}[/tex]

Answer:

First, Second, and fourth answers :)

Step-by-step explanation:

Answer:

  x = 4

Step-by-step explanation:

We assume your equation is intended to be ...

  2^(2x+7) = 2^15

Equating exponents gives ...

  2x +7 = 15

  2x = 8 . . . . . . subtract 7

  x = 4 . . . . . . . divide by 2

The value of x is 4.

The equation 2^2x+7 = 2^15 is solved by equating the exponents, simplifying the equation to find x, resulting in x = 4.

In the given question, you're dealing with an equation in the form of 22x+7 = 215. We can solve such problems by applying the rule that if ax = ay, then x = y.

Here the base for both the sides of equation is 2, thus 2z where x can be equated on both sides.

Comparing both sides of the equation, we get: 2x + 7 = 15.

To isolate x, we subtract 7 from both sides, therefore, x = (15 – 7) / 2 => x = 4.

So the solution to the equation 22x+7 = 215 is x = 4.

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Answer:

(a) Number of inches that have burned from the candle since it was lit is (1.1t) inches

(b) The remaining length of the candle is (16 - 1.1t) inches

Step-by-step explanation:

(a). Length of candle before it was lit = 16 inches

Constant rate at which at which candle burns = 1.1 inches per hour

Let t represent the number of hours that have elapsed since the candle was lit

In 1 hour, 1.1 inches of the candle burned

Therefore, in t hours, (1.1t) inches of the candle would have burned since the candle was lit

(b) Remaining length of candle = length of candle before it was lit - length of candle that have burned = 16 inches - 1.1t inches = (16 - 1.1t) inches

Answer: the cost of one Soda was $1.75

Step-by-step explanation:

Let x represent the cost of one hot dog.

Let y represent the cost of one Soda.

At the baseball game, Adam bought 3 hot dogs and 2 sodas for $11. It means that

3x + 2y = 11 - - - - - - - - - - 1

In a later time, he purchased 2 hot dogs and 3 sodas for $10.25. It means that

2x + 3y = 10.25 - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 4y = 22

6x + 9y = 30.75

Subtracting, it becomes

- 5y = - 8.75

y = - 8.75/- 5

y = 1.75

Substituting y = 1.75 into equation 1, it becomes

3x + 2 × 1.75 = 11

3x + 3.5 = 11

3x = 11 - 3.5 = 7.5

x = 7.5/3 = 2.5

Answer:

Step-by-step explanation:

Heres the complete question:

A uranium mining town reported population declines of 3.2%, 5.2%, and 4.7% for the three successive five-year periods 1985–89, 1990–94, and 1995–99. If the population at the end of 1999 was 9,320:

How many people lived in the town at the beginning of 1985? (Round your answer to the nearest whole number.)

solution:

Let the population of the town at the beginning of 1985 be P. Then, given that in the first five-year period the population declined by 3.2%, i.e., 0.032, the population of the town at the end of 1989 would be

(1 – 0.032)P = 0.968P.

Again, given that in the second five-year period the population declined by 5.2%, i.e., 0.052, the population of the town at the end of 1994 would be

(1 – 0.052)(0.968P) = 0.948 x 0.968P = 0.917664P.

Finally, given that in the third five-year period the population declined by 4.7%, i.e., 0.047, the population of the town at the end of 1999 would be

(1 – 0.047)(0.917664P) = 0.874533792P.

We are given, 0.874533792P = 9320 or

P = 9320/0.874533792 = 10657.11.

Thus, 10657 people lived in the town at the beginning of 1985

Final answer:

This is a mathematics question requiring the computation of past populations based on given percentage declines and the population at the end of 1999.

Explanation:

The question involves calculating the population of a uranium mining town at a prior date based on given percentage declines over successive five-year periods and the known population at the end of 1999. Since the population at the end of 1999 was 9,320, we work backward using the given percentage declines for each five-year period to estimate the population at the beginning of 1985. The calculation takes into account a 3.2% decline for 1985-89, a 5.2% decline for 1990-94, and a 4.7% decline for 1995-99. By applying these percentage changes in reverse, we can determine the population at the start of 1985.

Answer:

  2/5 g/cm

Step-by-step explanation:

When you want to know "A per B", divide the given quantity of A by the corresponding quantity of B. ("Per" essentially means "divided by".)

It can be convenient to choose table values that make the division easy:

  12 g/(30 cm) = 4/10 g/cm = 0.4 g/cm

  20 g/(50 cm) = 2/5 g/cm . . . . . . . . . . . . . same as 0.4 g/cm

Question is Incomplete; Complete question is given below;

The amount of pay Rachel will earn in an 8 hour shift if Rachel earns $3 more per hour than Leah's pay, [tex]p.[/tex] Using the given variables, write an expression for given situation.

Answer:

The expression for the amount Rachel will earn in 8 hrs shift is [tex]24+8p.[/tex]

Step-by-step explanation:

Given:

Leah's pay per hour is [tex]'p '.[/tex]

Now given:

Rachel earns $3 more per hour than Leah's pay.

So we can say that;

Rachel's pay per hour = [tex]3+p[/tex]

Now Number of hours Rachel work = 8 hrs

We need to write an expression for the amount Rachel will earn in 8 hrs shift.

Solution:

Now we know that;

the amount Rachel will earn is equal to Number of hours Rachel work multiplied by Rachel's pay per hour.

framing in expression form we get;

the amount Rachel will earn = [tex]8(3+p) =24+8p[/tex]

Hence The expression for the amount Rachel will earn in 8 hrs shift is [tex]24+8p.[/tex]

Answer:

C

Step-by-step explanation:

Final answer:

Traveling by car would cost a total of $356, while traveling by plane would total $535. These costs include expenses for gas, food, and lodging when traveling by car, and the airfare and cab fare when traveling by plane. Therefore, Option c is the correct answer.

Explanation:

To find the total cost for each mode of transportation for Daniel and Elizabeth, one must calculate the expenses for both the car trip and the plane trip.

Cost by Car:

Gas: $60

Food: $25 per day for 4 days for 2 people = $200 ($25 x 4 days x 2 people)

Lodging: $48 per night for 2 nights = $96 ($48 x 2 nights)

Total Car Cost: $60 (gas) + $200 (food) + $96 (lodging) = $356

Cost by Plane:

Round-trip airfare for two: $260 per person x 2 = $520

Round-trip cab fare: $15

Total Plane Cost: $520 (airfare) + $15 (cab) = $535

Comparing both options, traveling by car would cost $356, and by plane, it would cost $535. Therefore, Option C is the correct answer.

Answer:

plane speed = 520 mph

wind speed = 20 mph

Step-by-step explanation:

let the speed of the wind be w mph and the speed of the plane be p mph

flying from NY to NM,

time taken = 3 hr 36 min = 3.6 hr

average ground speed = total distance / time taken

= 1800 / 3.6 = 500 mph

since it is a headwind, the plane speed will be slowed down by the head wind, resulting in a lower ground speed.

we can write the following equation:

ground speed = plane speed - wind speed

500 = p - w ------(eq1)

flying from NY to NM (return flight),

time taken = 3 hr 20 min = 3.333 hr

average ground speed = total distance / time taken

= 1800 / 3.333 = 540 mph

on the return trip, the headwind becomes a tailwind, hence the total ground speed would be faster than the plane's air speed , we can write the following equation:

ground speed = plane speed + wind speed

540 = p +  w ------(eq2)

with these 2 systems of equations, we can solve for p & w using either substitution of elimination method.

eventually you will end up with

plane speed = 520 mph

wind speed = 20 mph

   Speed of airplane is 520 miles per hour and speed of the wind is 20 miles per hour.

    Let the speed of an airplane = x miles per minute

And the speed of the wind = y miles per minute

Distance between New York City and Albuquerque = 1800 miles

Airplane covers the distance between New York City and Albuquerque in 3 hours 36 minutes Or 3.6 hours.

In return journey, airplane covers this journey in 3 hours 20 minutes Or 3.33 hours.

Since, airplane takes more time from New York City to Albuquerque,

Therefore, airplane covered this distance against the wind,

And the speed of the airplane against the wind = (x - y) miles per hour

Expression for the speed,

Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

(x - y) = [tex]\frac{1800}{3.6}[/tex]

x - y = 500 ------- (1)

Speed of airplane in return journey = (x + y) miles per hour

And the equation will be,

x + y = [tex]\frac{1800}{3.33}[/tex]

x + y = 540 ------- (2)

By adding equation (1) and (2),

(x - y) + (x + y) = 500 + 540

2x = 1040

x = 520 miles per hour

From equation (1),

520 - y = 500

y = 20 miles per hour

       Therefore, speed of airplane is 520 miles per hour and the speed of wind is 20 miles per hour.

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Answer:

The answer to your question is a ) 127°    b) 80°

Step-by-step explanation:

a) We have to consider that the sum of the interior angles in a triangle equals 180°.

Then,

          89 + (5x - 7) + [180 - (14x + 1)] = 180

Simplification

          89 + 5x - 7 + 180 - 14x - 1 = 180

          5x - 14x = 180 - 89 + 7 - 180 + 1

                 - 9x = -81

                     x = -81 / -9

                     x = 9

Exterior angle = 14(9) + 1

                       = 127°  

b) The process is the same that the previous problem

          30 + (4x + 2) + [180 - (8 + 6x)] = 180

Simplification

          30 + 4x + 2 + 180 - 8 - 6x = 180

          4x - 6x = 180' - 30 - 2 + 8 - 180

               -2x = -24

                  x = -24/-2

                  x = 12

The measure of the external angle is = 8 + 6(12)

                                                              = 8 + 72

                                                              = 80°

Answer:

the answer is 2x=9-0

Step-by-step explanation:

put it in the cAC  PAPER

Answer:

Its C

Step-by-step explanation:

Correct on ed genuity

g(x) + 3 x+4; x  greater or equal to -4

Answer:

The solution for the expression is:

[tex]x=-\frac{11}{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]3(x-2)=5(x+1)[/tex]

To graph the solution set.

Solution:

We will first solve for [tex]x[/tex] to find the solution for the expression.

We have:

[tex]3(x-2)=5(x+1)[/tex]

Using distribution:

[tex]3x-6=5x+5[/tex]

Adding 6 both sides.

[tex]3x-6+6=5x+5+6[/tex]

[tex]3x=5x+11[/tex]

Subtracting both sides by [tex]5x[/tex].

[tex]3x-5x=5x-5x+11[/tex]

[tex]-2x=11[/tex]

Dividing both sides by 2.

[tex]\frac{-2x}{-2}=\frac{11}{-2}[/tex]

∴ [tex]x=-\frac{11}{2}[/tex]

The correct graph that represents the solution is given below.

Answer:

The required expression is [tex]V=\dfrac{s^2h}{3}[/tex] units³.

Step-by-step explanation:

Consider the provided information.

The Volume square base pyramid is: [tex]V=\dfrac{a^2h}{3}[/tex]

Where a is the edge length and h is the height of the pyramid.

It is given that length of the side  is s units and height of the pyramid is h unit.

Substitute the respective values in the formula above

The Volume square base pyramid is:

[tex]V=\dfrac{s^2h}{3}[/tex]

Hence the required expression is [tex]V=\dfrac{s^2h}{3}[/tex] units³.