Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation representing the budget for the trip is: `240\ =\ 12x+8y`
Select all the true
If no adult chaperones were needed, 30 students could go to the zoo.
If ten students go to the zoo, then 15 adults can go.
If four more adults go to the zoo, that means there will be room for six fewer students.
If two more students go to the zoo, that means there will be room for three fewer adults.
If 16 adults go to the zoo, then 6 students can go.

Answers

Answer 1

Answer:

2 answers are true

Step-by-step explanation:

If no adult chaperones were needed, 30 students could go to the zoo. Is true

If 16 adults go to the zoo, then 6 students can go. Is also true


Related Questions

What is the balance after 15 years in a savings account that earns 2 % interest compounded bimonthly when the
initial deposit is $1000?
$1300.50
$1020.11
O $1012.52
$1348.07

Answers

the answer is d =$1348.07

Really easy question !!!!!!!
Linear Algebra

Answers

Answer:

Okay thank you

Step-by-step explanation:

Answer:??

Step-by-step explanation: where’s the question

t-5 for t=7 solve for t​

Answers

Answer:

2?

Step-by-step explanation:

7-5 is equal to 2

Answer:

2

Step-by-step explanation:

If triangle pts is congruent to triangle pqr find the value of x

Answers

Answer:

Its 8

Step-by-step explanation:because u add then divide and subtract

Use the provided ruler to find the scale and the scale factor of the drawing. The scale measures 4 centimeters equal to 120 meters. The scale factor is ?

Answers

Answer:

1 : 3000

Step-by-step explanation:

Given that:

Scale measurement as following:

4 centimeters are equal to 120 meters.

To find:

The scale factor = ?

Solution:

First of all, let us learn about the definition of scale factor.

Scale factor means 1 unit on scale is equal to what length of actual measurement.

We are given that 4 cm on scale is equal to 120 meters of actual length.

We need to find nothing but how much 1 cm of scale is equal to actual length.

4 cm of scale = 120 meters or 12000 cm of actual length

Dividing by 4 on both sides, we get:

[tex]\frac{4}{4}[/tex] = 1 cm of scale = [tex]\frac{12000}{4}[/tex] = 3000 cm of actual length

Therefore, the scale factor is 1 : 3000

The scale factor is 1; 3000.

Given

The scale measures 4 centimeters equal to 120 meters.

What is the scale factor?

The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.

Scale factor means 1 unit on the scale is equal to what length of actual measurement.

4 cm of scale = 120 meters or 12000 cm of actual length.

1 cm of scale = 4/4

Then,

[tex]= \dfrac{12000}{4}\\\\=3000[/tex]

Hence, the scale factor is 1; 3000.

To know more about the Scale factor click the link given below.

https://brainly.com/question/8765466

Help please and Thankyou

a) A square with sides of length 8 units, sits on a graph with is lower left hand corner at the origin. This square is translated 5 units up,and 7 units left. What are the coordinates of the upper right hand corner after translation.

b) Explain​

Answers

Answer: not correct reset an-[ERROR]

Step-by-step explanation:

Solve the system by substitution 2x-y=39 and -6y=x

Answers

Answer:

x=18,y=-3

Step-by-step explanation:

Plug in -6y for x
2(-6y) - y = 39
-12y - y = 39
-13y = 39, y = -3
Plug into second equation
-6(-3) = x, x = 18
Answer: x = 18, y = -3

PLEASE ANYONE! I need to create a inequality equation to make this shape on the graph.

Answers

9514 1404 393

Answer:

  -4 < y < 4 and y < -3/2x +2

Step-by-step explanation:

The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...

  m = rise/run = -3/2

This means we can write the boundary line equation as ...

  y = mx + b

  y = -3/2x +2

__

We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...

  y < -3/2x +2

We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...

  -4 < y < 4 and y < -3/2x +2

What 3/4 x 5/8 in fraction

Answers

Answer: Hi! 15/32, I think!

Answer:

15/32

Step-by-step explanation:

a giraffe is 16 feet tall and casts a shadow of 24 feet. if Dustin casts a shadow of 9 3/5 feet how tall is he?

Answers

Answer:

12.4 feet

 Proportion of giraffe's height vs the height of its shadow = 16/24 = 2/3

If Dustin's height is x feet tall, then the proportion of his height and the height of his shadow (93/5 feet)should be the same as that of the giraffe, which is 2/3

 

so,

x/93/5 = 2/3

Multiplying both sides with 93/5

 

x = 2/3 * 93/5

x = 62/5 =12.4

what ordered pair is a solution to the equation y= -2/3x + 9?
(-3/2, 10), (0, 10), (-1, 10 2/3), (2/3, 10)

Answers

Answer:

(-3/2, 10)

Step-by-step explanation:

(x, y)

Set y = 10

10 = -2/3(x) + 9

x = -3/2

(-3/2, 10)

Set y = 10 2/3

10 2/3 = -2/3(x) + 9

x = -5/2

(-5/2, 10 2/3)

You can also plot the line and see which point is on the line which would be (-3/2, 10).

The ordered pair that represents the solution to y= -2/3x + 9 is: A.  (-3/2, 10)

Recall:

An ordered pair, (x, y) is a solution to a given equation if we plug the x and y values of the ordered pair and the equation remains TRUE.

Thus, plug in the ordered pair, (-3/2, 10) into y= -2/3x + 9:

10 = -2/3(-3/2) + 9

Simplify

10 = 1 + 9

10 = 10 (TRUE)

Therefore, the ordered pair that represents the solution to y= -2/3x + 9 is: A.  (-3/2, 10)

Learn more about solution to an equation on:

https://brainly.com/question/15523338

Three people need to peel 1000 potatoes working together. Stacey starts at 2 PM peeling 20 potatoes per hour. Rob starts at 3 PM peeling 30 potatoes per hour, and James starts at 4 PM peeling 40 potatoes per hour. If they work continuously, at what time will the 1000 potatoes be peeled ?

Answers

Answer:

They would be done by 2 :  18 AM

Step-by-step explanation:

Key Information:

- Stacey starts at 2 PM peeling 20 potatoes per hour

- Rob starts at 3 PM peeling 30 potatoes per hour

- James starts at 4 PM peeling 40 potatoes per hour

At 5pm;

Stacy would have worked for 3 hours and would have peeled ( 3 * 20 = 60 potatoes)

Rob would have worked for 2 hours and would have peeled ( 2 * 30 = 60 potatoes)

James would have worked for an hour and would have peeled ( 1 * 40 = 40 potatoes)

Total number of potatoes peeled at 5pm = 60 + 60 + 40 = 160 potatoes

Potatoes left = 1000 - 160 = 840 potatoes.

The new peeling rate for three of them combined is (20 + 30+ 40 ) = 90 potatoes per hour.

Rate = potatoes left / time;

Time = Potatoes / Rate

Time = 840 / 90 = 9.3 hours = 9 hours 18 minutes

Total time taken = 9 hours 18 minutes + 3 hours = 12 hours 18 minutes

They would be done by 2 :  18 AM

Answer:

2:20 am

Step-by-step explanation:

Stacey's start time = 2 pm

Rate = 20 per hour

Rob start time = 3pm

Rate = 30 per hour

James start time = 4pm

Rate = 40 per hour

Number of potatoes = 1000

By 4 pm when James started :

(2 * 20) + (1 * 30) = 40 + 30 = 70

Potatoes left at 4pm = 1000 - 70 = 930 potatoes

Number of potatoes peeled per hour staring from 4 pm:

20 + 30 + 40 = 90 potatoes

Time taken to peel 930 potatoes will be :

930 / 90 = 10.333333 hours

(0.33333 * 60) = 19.9998 minutes

10.3333 hours = 10 hours 19.99998 minutes = 10 hours 20 minutes

Hence, from 4pm = 4pm + 10 hours 20 minutes = 2 : 20 a. M

Which triangle is congruent to the triangle with vertices (2,-2), (7,10), and (4,6)? (1 point)
O (-4,2), (8,7), (1,1)
0 (-5,3), (7,-2), (3,1)
O (9,6), (1,8), (-1,4)
O (-7,-5), (-3, -2), (3, 3)

Answers

Answer:

(-5,3), (7,-2), (3,1)

Step-by-step explanation:

Just did this question. Got it wrong but thats what it says the right answer is

A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km?

[1 mile = 1.6 km]
0.2
0.5
0.8
1.4

Answers

We have the following given
mileage = 70 miles per gallon
distance = 60 km

Required: amount of fuel in gallons

First, we must convert the distance to miles, so
60 km (1 mi/1.6 km) = 37.5 mi

So, the amount of fuel is
37.5 mi / (70 mi/gal) = 0.54 gallons

Answer:

Step-by-step explanation:

if our motorcycle use 70 miles per gallon

and 1mile=1.6 km

the motorcycle travels 70*1.6=112 km per gallon

for 60 km it needs

60/112=0.54 gallons

For what value of k does the equation 5x – 32 = kx + 3 have no solution?​

Answers

Step-by-step explanation:

5x - 32 = kx + 3

(5 - k)x = 35

This equation fails when (5 - k) = 0, or k = 5.

please help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

54.5

Step-by-step explanation:

The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.

Answers

Answer:

Number = 92

Step-by-step explanation:

Let the unit digit is x and that of tens digit is y.

ATQ,

x+y = 11 ....(1)

The unit's digit is 7 less than the ten's digit

x = y-7 ...(2)

Put the value of x from equation (2) in (1)

y-7+y = 11

2x-7 = 11

2x = 11+7

2x = 18

x = 9

Put the value of x in equation (1)

9+y = 11

y = 2

Hence, the number is 92.

Express (x + 5)^2 as a trinomial in standard form.

Answers

Answer:

Ste(x−5)2=x2−10x 25

step-by-step explanation:

The standard form of a polynomial in one variable is a sum of terms in decreasing order of degree.

For brevity, terms with negative coefficients are usually written as subtractions rather than adding the additive inverses. That is, we would write  

x

2

3

x

+

2

rather than  

x

2

+

(

3

)

x

+

2

In order to express  

(

x

5

)

2

in standard form, we need to multiply it out, combining terms of like degree. We can use the FOIL mnemonic to help:

(

x

5

)

2

=

(

x

5

)

(

x

5

)

(

x

5

)

2

=

First



(

x

)

(

x

)

+

Outside



(

x

)

(

5

)

+

Inside



(

5

)

(

x

)

+

Last



(

5

)

(

5

)

(

x

5

)

2

=

x

2

5

x

5

x

+

25

(

x

5

)

2

=

x

2

10

x

+

25

Alternatively, we can recognise a pattern and use it.

For example:

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

(

a

b

)

2

=

a

2

2

a

b

+

b

2

So we could take the second of these and put  

a

=

x

,  

b

=

5

to find:

(

x

5

)

2

=

x

2

2

(

x

)

(

5

)

+

5

2

(

x

5

)

2

=

x

2

10

x

+

25

The standard form is: [tex]x^2+10x+25[/tex].

We expand the given expression.

[tex](x + 5)^2\\=x^2+2(x)(5)+5^2\\=x^2+10x+25[/tex]

So the standard form is: [tex]x^2+10x+25[/tex].

Learn more: https://brainly.com/question/13769924

find the measure of abc​

Answers

Where the image of the
You need to add a picture

what is the volume of this cube?

Answers

Answer:

1

Step-by-step explanation:

The volume of this cube is  1 cu.cm , Option B is the correct answer.

What is a cube ?

A cube is a three dimensional shape having 6 square faces , all the faces are of equal length , breadth and height.

The volume of the cube is given by side * side * side

Let side =  a

Then volume of the cube = a³

In the given figure all the side of the cube is given as 1 cm.

Therefore to determine the value of the volume , we will substitute in the equation

V = (1)³

Volume = 1 cu.cm

Therefore , the volume of this cube is  1 cu.cm, Option B is the correct answer.

To know more about Cube

https://brainly.com/question/14075440

#SPJ2

What is 60,000+3,000+20+9 in standard form?

Answers

60,000 + 3,000 + 20 + 9

= 63,000 + 29

= 63,029.

Answer: 63,029

Hope this helps have A wonderful Christmas

Step-by-step explanation:

Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?

1.six and two thirty thirds kilometers
2.five and twenty five thirty thirds kilometers
3.six and twenty five thirty thirds kilometers
4.six and twenty thirty thirds kilometers

Answers

Your answer is 1. Six and two thirty thirds kilometers

Answer:

3!

Step-by-step explanation:

8 2/3 - 1 10/11 = 223/ 33  (6 25/ 33)

Hope it helped!


Choose the word that correctly completes the statement
Since angle B is the largest angle, line segment AC is the
side,

Answers

The answer would be b because AC don’t make sense

The line segment AC (side a) is the longest side of triangle ABC.

To determine which side of triangle ABC is the longest, we can use the concept that the side opposite the largest angle in a triangle is the longest side. In this case, angle B is the largest angle with a measure of 75 degrees.

Now, we can identify the side opposite angle B, which is line segment AC. Therefore, line segment AC is the longest side of triangle ABC.

To calculate it more formally, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides. The formula is:

a/sin(A) = b/sin(B) = c/sin(C)

Where:

a, b, c are the side lengths of the triangle.

A, B, C are the angles opposite to sides a, b, c, respectively.

Let's calculate the length of side AC (a) using the law of sines:

a/sin(A) = b/sin(B) = c/sin(C)

a/sin(45°) = b/sin(75°) = c/sin(60°)

a/√(2) = b/sin(75°) = c/sin(60°)

Now, we know that b < a and c < a because angle B is the largest angle. So, to find the value of a, we need to solve for it.

a = √(2) * b and a = (√(3)/2) * c

Now, we have three sides in terms of one variable (a, b, and c), and we know that a > b and a > c. Therefore, line segment AC (side a) is the longest side of triangle ABC.

To know more about triangle:

https://brainly.com/question/2773823


#SPJ2

The complete question is:

A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side. adjacent included longest shortest  

Lashonda started to run on a treadmil, after setting it's timer for 64 minutes, The display states that she has finnished 68% of her run, how many minutes have gone by?

Answers

Step-by-step explanation:

It is 64*0.32=20.48 minutes or 20.5 minutes.

Answer:

43.52

Step-by-step explanation:

first you have to multiply the amount of time in all by the percent she has done. then after that you divide by 100.

can someone help me with this?

Answers

Answer:

Equation

Step-by-step explanation:

Equation Rate of change: 2/1=2

Graph Rate of Change: -4/1=-4

Answer: Equation has a greater rate of change

Step-by-step explanation:

Equation's rate of change is 2 and graph's rate of change is -4

Solve the following equation and explain each step using apropriate Properties
5(4x-3)-18=7

Answers

Answer:

x=2

Step-by-step explanation:

5(4x - 3) - 18 = 7

20x - 15 - 18 = 7 distributive property

20x - 33 = 7 communitive property

20x = 40

-------------

    20

x=2

The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?

A. 5/12
B. -12/13
C. -5/12
D. 12/13

Answers

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

Learn more about quadrant and cast rule here:

https://brainly.com/question/11099638

#SPJ2

A banquet room is being carpeted. A floor plan of the room is shown.

The carpet costs $0.50 per millimeter. How much will it cost to carpet the room? Use 3.14 for LaTeX: \piπ .Round your answer no the nearest cent.

Answers

Answer: 144.84

Step-by-step explanation:

Hypolenuse_13cm Sudheer ruder his by cycle 9km exact and the rider 12 km north .How for is the form his starting point?​

Answers

LABSDKDKDENBEEJEJEJEJEJEJEJEJEJEJEJE

Create an equation that has -12 and -15 as its only solutions.

Answers

Answer:

x^2+27x+180

Step-by-step explanation:

okay so -12 and 15 are the only solutions

work backward

add 12 and add 15 from x

(x+12)(x+15)

then solve this

x*x=x^2

x*+15=15x

12*x=12x

12*15=180

now put it all together

x^2+15x+12x+180

then simplify

x2+27x+180

(x+12)(x+15)

Then solve again to try it.

x+12=0

x+15=0

x=-12

x=-15

Hope this helps.

Other Questions
I gave extra points and I will give brainliestWhich of these is an example of a random sample?A. Mrs. Baker selects the 10 students who raised their hands to volunteer to fill out a survey.B. Mrs. Baker selects the 10 students whose names are drawn from a bag to fill out a survey.C. Mrs. Baker selects the 10 students who arrived to class first on Monday to fill out a survey.D. Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey. A triangle has one side that measures 5 units and another side thatmeasures 7 units. What are two possible lengths for the third side?Explain why you chose the lengths you did. Solving equations 2(x-4) = -4(2x+1) has a business selling perfume at the mall. Currently his business has abalance of -$20.Which amounts of sales would give Mason's business a positive balance?Choose ALL that apply.$29$19$21$30$35$15 3. Which of the following is not a reason that governments justify determining how land is used?For the safety of the individuals that live in the area.To make the government more money.For the health of its citizens.To protect the general welfare of its citizens. Which macromolecule is made of only carbon, hydrogen, and oxygen and is used as short term energy storage forbuilding the structural components of living things?A. lipidB. proteinC. nucleic acidD. carbohydrate Europeans used the Mississippi and the Amazon rivers to meet their business needs, but what did they also carry to the native peoples? A marked improvement in medical care B. Death through new diseases C. News of the Old World and its countries D. Literacy and free thinking Which expression is equivalent to which property can be used to expand the expression -2(3/4x+7)the associative property the commutative propertythe distributive propertythe additive identity property NEED ASAPWhich of the following best describes how the Federalist Papers Influenced the present-day U.S. system of government?They were responsible for popularizing the idea of majority ruleThey played a major role in winning ratification of the ConstitutionThey argued that the nation should be a confederacy of sovereign statesThey were responsible for the inclusion of the Bill of Rights in the Constitution what ius the symoble for iron (SAT Prep) Find the value of x. NEED ANSWER ASAP!! how did britain respond when china didnt want to trade a. britain seized hong kong b. britain declared war on chinac. britain complied but sold good through a third party d. british merchants began smuggling in opium to china whats the term to identify the forced transfer of slaves to the America's Find the slope of the line 0,-19 20,15 How many daughter cells are made during mitosis? ______________ During meiosis? _____________ 2. In humans how many chromosomes will be in a daughter cell after mitosis? _____ After meiosis? ____ 3. What happens during interphase before both mitosis and meiosis can begin? which point is the incenter of angle DEF g A frequently quoted rule of thumb in aircraft design is that wings should produce about 1000 N of lift per square meter of wing. (The fact that a wing has a top and bottom surface does not double its area.) a)At takeoff the aircraft travels at 61.1 m/s, so that the air speed relative to the bottom of the wing is 61.1 m/s. Given the sea level density of air to be 1.29 kg/m3, how fast (in m/s) must it move over the upper surface to create the ideal lift Naomi has a lot of stuff in her pencil case. There are 18 items in her pencil case, including 9 pencils. What is the probability that a randomly selected item from Naomi's pencil case will be a pencil? Write your answer as a fraction or whole number. P(pencil) = apple's cost 3.60 for 3 pound how much pounds for 8.40$ Mason claims that y= 3 x2 -6 is a function, but not a linear one. Select the statement that supports Mason's claim.{Will give brainlest : ) }