A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students' tickets is $209. Use this information for Items 9–16.

Answers

Answer 1

Answer:

All the student are members of the planetarium's frequent visitor program.

Step-by-step explanation:

Let x represent the number of student who are members of the planetarium's frequent visitor program.

And let y represent the who are not a member.

Then two equations can be formed using the provided data:

x + y = 19...(i)

11x + 13y = 209...(ii)

Multiply (i) by 13 and solve for x as follows:

13x + 13y = 247

-11x  - 13y = -209

2x = 38

x = 19

Substitute x = 19 in (i) and solve for y as follows:

x + y = 19

19 + y = 19

y = 0

Thus, all the student are members of the planetarium's frequent visitor program.


Related Questions

10) (3pts) John and two of his friends went out to eat at their favorite restaurant. The bill for the food
was
$85.00

and they is a 9% tax. If they wanted to leave a 10% tip for the servers, what will be the total
then?

How much would each of them need to pay if they decide to split the total bill among them
equally?

Answers

Answer:34.6667

Step-by-step explanation:

The ratio of boys to girls in a science class is 8:7. If there are 14 girls, how many boys are in the class?

Answers

Answer: 16

Step-by-step explanation: If the ratio is 8 boys for every 7 girls and there are 14 girls, that means there are 2x the amount of girls in the ratio. 7 -> 14. This means that there are also 2x as many boys. 8 -> 16.

If you have 36 pieces of candy and you give you're fried. 1/3 how many pieces did you give you're friend ‍♀️

Answers

Answer:

12

Step-by-step explanation:

its 12. pick 12. hey its 12

Answer, 12 pieces of cans I believe

Item 4 A supplier sells 214 pounds of mulch for every 113 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell? The supplier sells pounds of mulch and pounds of gravel. Item 4 A supplier sells 214 pounds of mulch for every 113 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell? The supplier sells pounds of mulch and pounds of gravel.

Answers

Answer:

4 pounds of each item

Step-by-step explanation:

A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell? (Ratios and Rates)

Mulch = 2 1/4 pounds

= 9/4 Pounds

Gravel = 1 1/3 pounds

4/3 pounds

Total items sold = 172

Let x = pounds of each item the supplier sells

Mulch : gravel

9/4 : 4/3

Change into whole number by multiplying by 12

(9/4)12 : (4/3)12

= 108/4 : 48/3

= 27 : 16

Mulch : gravel = 27 : 16

27x + 16x = 172

43x = 172

Divide both sides by 43

x = 172 / 43

= 4

x = 4 pounds

Check

27x + 16x = 172

27(4) + 16(4) = 172

108 + 64 = 172

172 = 172

Therefore, the supplier sells 4 pounds of each item

Use the GCF and the Distributive Property to find the sum. 66+78

Answers

Answer:

134

Step-by-step explanation:

Answer:

6(11+13)

Step-by-step explanation:I tryed it works thank you pls give me Brainliest <3 plsss

4.
30°
8 ft
7 ft
What is the area of the trapezoid to the nearest tenth?

Answers

56, I think but don’t take my word for it, I’m assuming

Serena says that if a regression line is drawn correctly in a scatterplot, there will always be the same number of points above the line as there are below the line. Which of these must be a counterexample to her claim?

Answers

Options are;

1) a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points

2) a scatterplot with an even number of points in which the correct regression line passes directly through 0 of the points

3) a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points

4) a scatterplot with an even number of points in which the correct regression line passes directly through 2 of the points

Answer:

Option 1: a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points

Step-by-step explanation:

From what Serena said about regression line drawn correctly in a scatter plot, looking at the options, the correct answer is option 1. This is due to the fact that If there is an odd number, and the regression line touches none of them, then there must at least be one more point located on one side of the line when compared to the point on the other side of the line.

Answer:

a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points

Step-by-step explanation:

i took the test

PLS HELP QUICKLY ILL GIVE BRAINLIEST

I ONLY NEED HELP WITH QUESTION 1

Answers

Answer: 7 pies

Unit price: $3.50

Step-by-step explanation:

1. To find the unit price, you must divide the cost by the amount of pies

11 divided by 3 is 3.70

24.50 divided by 7 is 3.50

2. You now have the unit price. To find the better buy, you need to determine which price is lower.

3.50 < 3.70

3. The better buy is the 7 pies.

what is 20 x 100 + 80 -28 x90

Answers

Answer:

-440

Step-by-step explanation:

hope this helps

have a good day

Answer:

-440

Step-by-step explanation:

what is 2 plus 2 100 points don't want them

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Explanation:

Braden has already taken 279 pages of notes on his own, and he will take 3 pages during
each hour of class. After attending 96 hours of class, how many total pages of notes will
Braden have in his notebook? Write and solve an equation to find the answer

Answers

Answer: 567

Step-by-step explanation:

3 * 96 = 288

288 + 279 = 567

Equation:

3(96)+279 =

The answer is 567.

Here is the equation:

3(96)+279=?

Hope I helped

Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to $0.15 for each vertical meter climbed. For instance, the price for climbing all the way to the summit, which is 3500 meters above the base of the mountain, is $645. Let y represent the fee (in dollars) of a trip where they climbed 2 vertical meters. Complete the equation for the relationship between the fee and vertical distance. y =
please h3lpp​

Answers

Answer: y= 0.15x + 120

Step-by-step explanation:

B- 645/0-3500=0.15

Solving this equation, we get b=120

Now we know the slope of the line is 0.15 and the y-intercept is (0,120), so we can write the equation of that line : y=0.15x + 120

Answer: t =120+.15x

Step-by-step explanation:

don't have one

Tammy watched a video for 5/8 minutes. She watched another video for 1/8 minutes. For how long did she watch videos in all.

Answers

Answer:

She watched for 6/8 minutes.

Simplified version would be 3/4 minutes.

Hope this helped! :)

Answer:

[tex]\frac{3}{4}[/tex] minutes

Step-by-step explanation:

To find how long she watched, add 1/8 to 5/8

Since they have the same denominators, we can add the numerators together and keep the same denominator.

[tex]\frac{1}{8}[/tex] + [tex]\frac{5}{8}[/tex]

= [tex]\frac{6}{8}[/tex]

This can be reduced to [tex]\frac{3}{4}[/tex], since both numbers are divisible by 2.

So, she watched videos for [tex]\frac{3}{4}[/tex] minutes

6 eggs weigh 3/4 of a pound how much dose each egg weigh

Answers

Answer: 12 ounces thos os kindergarten material

Step-by-step explanation:

Answer: 1/8 of a pound which is equivalent to 2 ounces.

Step-by-step explanation:

[tex]\frac{3}{4}[/tex]÷[tex]\frac{6}{1}[/tex]    

[tex]\frac{3}{4}[/tex]×[tex]\frac{1}{6}[/tex]= [tex]\frac{3}{24}[/tex]

[tex]\frac{3}{24}[/tex]= [tex]\frac{1}{8}[/tex]

А
Triangles ACD and BCD are isosceles. Angle BAC has a
measure of 33 degrees and angle BDC has a measure of 35
degrees. Find the measure of angle ABD.
B

Answers

Answer:

The measure of angle ∠ABD is 125°

Step-by-step explanation:

The given parameters are;

Triangle of ΔACD = Isosceles triangle

Triangle of ΔBCD = Isosceles triangle

m∠BAC = 33°

m∠BDC = 35°

Whereby ΔBCD and ΔACD have their vertex in the same direction, we can have;

[tex]\overline {AD}[/tex] ≅ [tex]\overline {AC}[/tex] Given sides legs of triangle ACD

[tex]\overline {BD}[/tex] ≅ [tex]\overline {BC}[/tex] Given sides legs of triangle BCD

[tex]\overline {BA}[/tex] ≅ [tex]\overline {BA}[/tex] Reflexive property

∴ ΔDAB ≅ ΔCAB  by SSS (Side-Side-Side) congruency rule

m∠BAC ≅ m∠BAD CPCTC (Congruent Parts of Congruent Triangles are Congruent)

∴ m∠BAC ≅ m∠BAD = 33° Definition of congruency

m∠BAC + m∠BAD = 33° + 33° = 66° = m∠DAC Angle addition postulate

m∠ADC = m∠ACD = (180 - m∠DAC)/2 = (180 - 66)/2 = 57° Base angles of an isosceles triangle

∴ m∠ADC = m∠ACD = 57°

m∠BDC = 35° = m∠BCD Base angles of isosceles triangle ΔBCD

m∠BCD + m∠DBC + m∠BCD = 180° Sum of the interior angles of a triangle theorem

m∠DBC = 180° - (m∠BCD +  m∠BCD) = 180° - (35° +  35°) = 110°

m∠DBC = 110°

∴ m∠ABD ≅ m∠ABC CPCTC

m∠ABD = m∠ABC Definition of congruency

m∠DBC + m∠ABD + m∠ABC = 360° Sum of angles at a point

m∠DBC + m∠ABD + m∠ABD = 360°

m∠DBC + 2 × m∠ABD = 360°

110° + 2 × m∠ABD = 360°

2 × m∠ABD = 360° - 110° = 250°

2 × m∠ABD = 250°

m∠ABD = 250°/2 = 125°

m∠ABD = 125°.

The measure of angle ABD is equal to [tex]125^\circ[/tex] and this can be determined by using the properties of the triangle.

Given :

Triangles ACD and BCD are isosceles.Angle BAC has the  measure of 33 degrees and angle BDC has a measure of 35  degrees.

Given that side [tex]\rm AD \cong AC[/tex].

Given that side [tex]\rm BD \cong BC[/tex].

[tex]\rm BA \cong BA[/tex] according to the reflexive property.

So, according to the above statements triangle DAB is congruent to triangle CAB by the SSS postulate.

Now according to CPCTC Angle BAD is congruent to angle BAC.

[tex]\rm \angle BAD + \angle BAC = 33 + 33 = 66^\circ[/tex]

[tex]\rm \angle DAC = 66^\circ[/tex]   (according to the angle addition postulate)

[tex]\rm \angle ADC = \angle ACD = \dfrac{180-\angle DAC }{2} = \dfrac{180-66}{2}=57^\circ[/tex]

[tex]\rm \angle BDC = \angle BCD = 35^\circ[/tex]

Now, according to the sum of the interior angle of the triangle theorem:

[tex]\rm \angle BCD+\angle DBC+\angle BDC = 180^\circ[/tex]

[tex]\rm \angle DBC = 180 - 35-35 = 110^\circ[/tex]

Therefore, the angle ABD and angle ABC are congruent according to the CPCTC.

Now, according to the definition of congruency angle ABD is equal to angle ABC.

Now, again according to the sum of angles at a point:

[tex]\rm \angle DBC + \angle ABD + \angle ABC = 360^\circ[/tex]

[tex]\rm \angle DBC + \angle ABD + \angle ABD = 360^\circ[/tex]

[tex]\rm \angle DBC + 2\times \angle ABD = 360^\circ[/tex]

[tex]\rm 110+2\times \angle ABD = 180^\circ[/tex]

[tex]\rm 2\times \angle ABD = 360-110[/tex]

[tex]\rm 2\times \angle ABD = 250^\circ[/tex]

[tex]\rm \angle ABD = 125^\circ[/tex]

For more information, refer to the link given below:

https://brainly.com/question/24580745

Divide and write your remainder as a decimal

Answers

Answer:

9807.

Step-by-step explanation:

First- you divide 9317 by 95 and you get 98.07 with a bunch of other numbers which you don´t include

Next - when you divide a number by another number and you get a decimal , move the decimal point all the way to the right counting the number of places you move the decimal too.

Last - put a decimal point in the quotient/answer space , exactly above the decimal point in the number under the division bar.

After you do all those steps, your last final answer that you will get is 9807.

Jim has $150 to spend on his birthday skating party. It costs $25 to rent a party room. If it costs $10 per person to skate, how many people can attend the party? Write an equation to represent the situation.

Answers

Answer:

Step-by-step explanation:

150 - total budget (150)

25 out of total budget (150 - 25)

solve 150 - 25 for (125)

125/10 = 12.5

the 150-25 is in parentheses so using PEMDAS, it will be completed first for an answer of (125). then 125 x .10 to divide.

the equation would be  -  (150-25).10  (OR)   (150-25)/10

(you can either choose to divide by a whole or multiply by a fraction.

Answer:

12 people

Step-by-step explanation:

25+10x=150

subtract 25 each side

10x=125

divide both sides by 10

x = 12.5

can't have half a body at a party.

hope this helps :)

PLEASE HELP ME WITH THIS but only question 3,5,7

Answers

Answer:

3) 98˚ 5) 122˚ 7) 109˚

Step-by-step explanation:

each angle equals another so if you know one you know all that are like that one

someone please answer this quickly

Answers

the correct answer is b

Answer:

Reflection, then rotation.

Step-by-step explanation:

From 1 --> 2, the shape is reflected over an imaginary x-axis. Then it is rotated around a point at the tip of the triangular part to get from 2 --> 3.

Caylen went to the Fun house and bought tickets to play games. Each ticket cost $1.50
and she bought lunch for $9. If she spent $42, how many tickets did she buy?
PLS HELP

Answers

Answer:

22

Step-by-step explanation:

42-9=33

33/1.50=22

3.4x - 1.3x - 7 - 9 = 5 how to get the answer

Answers

Answer:

x= 10

Step-by-step explanation:

Hope this helps. Plz give brainliest

Answer:

x = 10

Step-by-step explanation:

3.4x - 1.3x - 7 - 9 = 5

2.1x - 7 - 9 = 5

2.1x - 16 = 5

2.1x - 16 + 16 = 5 + 16

2.1x = 21

2.1x ÷ 2.1 = 21 ÷ 2.1

x = 10

What is the equation of the line that passes through the point (-4,-7) and has a slope of 3/2?​

Answers

Answer:

y = 3/2x - 1

Step-by-step explanation:

in picture :) if you cant read my writing ask me, and I'll tell you

PLSSS HELP 10 POINTS ANSWER MY QUESTION USE THIS LINK

https://brainly.com/question/18724978

Answers

Answer:

37/6x=37

x=6

11/2x+2/3x=37

Step-by-step explanation:

i need helppppp. plssss

Answers

Answer:

D.

Step-by-step explanation:

The buoy sank a total of 11 2/3

45÷15=4

Which story could be used with the equation?

Answers

Answer:

Maddy has 45 flowers to give to her 15 friends, how many flowers will each friend get?

Step-by-step explanation:

need the answer
asap

Answers

Answer:

3z-38

Step-by-step explanation:

Put an addition sign between the two equations and combine like terms. Write in order from highest degree to lowest (standard form). X's cancel out.

Hi here is the answer! 4-z or -z+4

If 1≤x≤3 and 3≤y≤5. The least possible average of 1/x and 1/y is:

(A) 2/3 (B) 3/5 (C) 4/15 (D) 8/15 (E) 4/5

Answers

Answer:

(c)

Step-by-step explanation:

I completely guessed and got c first try

What is the area of a square whose perimeter is 28x^2 + 4x?

Answers

Answer:

Step-by-step explanation:

Divide by 4 to get 1 side

28x^2/4 + 4x/4

7x^2 + 4 = s or one side

Now square that one side

Area = s^2

Area = (7x^2 + 4)^2

Area = 49x^4 + 28x^2 + 28x^2 + 16

Area = 49x^4 + 56x^2 + 16

The amount of Jen's monthly phone bill is normally distributed with a mean of $48 and a standard deviation of $6. Fill in the blanks. 95% of her phone bills are between?

Answers

Answer: About  95% of her phone bills are between $36 and $60.

Step-by-step explanation:

If population is normally distributed , then by Empirical rule about 95% of the population lies within 2 standard deviations from mean.

Given: The amount of Jen's monthly phone bill is normally distributed with a mean of $48 and a standard deviation of $6.

Then, by Empirical rule

About 95% of her phone bills are between $(48 -2(6)) and $(48 +2(6))

i.e. About  95% of her phone bills are between $36 and $60.

Hence, About  95% of her phone bills are between $36 and $60.

What percent did Y change by?

Answers

Answer:

25%

Step-by-step explanation:

y is 75% of what x was

Other Questions
tell me what 1 plus 1 is and u get 100 points and brainliest An atom of antimony has a mass number of 122. The atomic number of antimony is 51. Calculate the number of protons and neutrons in this atom work must be shown to earn credit. What's the difference between the "matter that makes up wood" and the "matter that makes up water"? Explain your ideas in full sentences. Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket? PLEASE HELP 100 POINTS!BRAINLIEST TO WHOEVER ANWSERS FIRST Mr. Wong wants to purchase 12 new smoke detectors for his house. Store A sells each smoke detectorfor $17 and Store B sells each smoke detector for $24. If Mr. Wong purchases all his smoke detectorsat Store A, how much less will he spend than if he purchased all the smoke detectors at Store B? A. $84 B. $120 C. $72 D. $204 which statement describes the pattern in the density of gases in the atmosphere URGENT!!What pitch is located at L5 on the Bass Clef Staff? ngels paints 55 square feet per 1/2 hour. How many squat feet dose she paint in an hour The organelle that is made up of DNA: I said some mean things to the girl i like and now i dont know how to make her feel better???No stupid answers pls its to early in the morning Write a sentence in spanish for each prompt given about what you and your friends did last week. Assume you have a data definition class called Account. You wish to create a specific type of account, called MoneyMarketAccount. Write the first line of code that will declare the MoneyMarketAccount class. Please help me I will say thank you so you get an extra 5 points BRAINLIEST BRAINLIEST ANSWER NUMBER 2 PLEASE PLEASE HELPPSelect ALL the correct answers.Which of these factors make hydrogen fuel cells a better option than burning fossil fuels?1. Hydrogen fuel cells have a higher energy efficiency.2. Hydrogen fuel cells create less pollution.3. Burning fossil fuels relies on outdated devices and technology.4. Hydrogen is the most abundant element in the universe.5.Hydrogen fuel cells are more expensive than fossil fuels. Evaluate and simplify 1. -(5x -4)2. 10 - 2(4x - 6y) 4. 1/2 (-6y + 9z) 5. 2(3a + 9b) - 4(2a - 2) why do the men of the Yukon call Walt "the King of Mazy May" In the article "I Knew America Was Not Ready for a Woman to be President" the author suggests that our progress in diversifying the US presidency parallels the US history of the right to ___________: Describe some of the changes and problems Texas faced while Stephen F. Austin was in jail in Mexico.