Mr. Santos treated his students to a movie for winning the state contest. This also required taking some of the students’ parents as chaperones. The movie theatre charges $4 for each student and $6 for each adult. If Mr. Santos spent $180 on movie tickets and took 40 people (including himself), how many students did he take to the movies.

write two equations to help find the answer

Answers

Answer 1

Answer: 41

Step-by-step explanation:

Answer 2

Using a system of equations, it is found that he took 30 students to the movies.

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

This question is solved using a system of equations, and I will say that:

x is the number of students taken.y is the number of adults taken.

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

40 people were taken, and thus:

[tex]x + y = 40[/tex]

As we want the number of students x, we can represent y as function of x, thus:

[tex]y = 40 - x[/tex]

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

Each student costs $4.Each adult costs $6.The total amount spent was $180.

Thus:

[tex]4x + 6y = 180[/tex]

Since [tex]y = 40 - x[/tex]

[tex]4x + 6(40 - x) = 180[/tex]

[tex]4x + 240 - 6x = 180[/tex]

[tex]-2x = -60[/tex]

[tex]2x = 60[/tex]

[tex]x = \frac{60}{2}[/tex]

[tex]x = 30[/tex]

He took 30 students to the movies.

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Related Questions

PLZ help!
I feel dumb asking, but I need help, math is quite hard.

Answers

Answer:

slope= 3/4

y=mx+b

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The rate of change is referring to the slope, which can be calculated by rise/run.  There are two points we can use to find the slope: (0,3) an (4,6), but feel free to use any points on the graph that you want to.  Between those two points, the function's y value ("rise") increases by 3, while the function's x-value ("run") increases by 4.  Divide 3 (rise) by 4 (run) in order to calculate the rate of change.

Can someone help? 20 points :D

Answers

Q should equal -4.2.
the answer is q=-4.2

Plzzz help me PLZZ IM GIVING 10 POINTS TO THE FIRST PERSON

Answers

Step-by-step explanation:

where is d question , the ans is minus 3

Solve the equation.
2.5 = 0 - (-20)
0-17.5
0-22.5
O 22.5
0 17.5

Answers

Answer:

Step-by-step explanation:Simplifying

0 = 2.5y + -20

Reorder the terms:

0 = -20 + 2.5y

Solving

0 = -20 + 2.5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2.5y' to each side of the equation.

0 + -2.5y = -20 + 2.5y + -2.5y

Remove the zero:

-2.5y = -20 + 2.5y + -2.5y

Combine like terms: 2.5y + -2.5y = 0.0

-2.5y = -20 + 0.0

-2.5y = -20

Divide each side by '-2.5'.

y = 8

Simplifying

y = 8

SO the answer is y=8 I think srry if i get it wrong

I need a answer to the picture provided by me.

Answers

Answer:

the first one is -(25/2) OR -12.5

THE Second one is -(125/8) or -15.625

Answer:

these are the answers in order!

hope this helped

To which subsets of the real numbers does the following number belong? square root of seven
A. rational numbers
B. irrational numbers
C. whole numbers, integers, rational numbers
D. whole numbers, natural numbers, integers

Answers

Answer: this might be wrong well we all know it’s is going to be wrong but let’s give it a shot so I am probably going to go with answer C

Plz give me brainlest

byeeeeeeeeeeee

k guys plz give me brainless I need it so much I suck we’ll probably not but u get the point but give me brainles ppppppppplllllllllllllzzzzzzzzzzzzzzz I need it

triangle abc has the coordinates in the table below. Where will the location of A' be after a dilation using a scale factor of 1.25

Answers

Answer:

B i am pretty sure

Step-by-step explanation:

The location of A' be after a dilation using a scale factor of 1.25 is (-15 , -10) .

What is scale factor?

Scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object.

According to the question

ΔABC has the coordinates

A(-12,-8)

B(-16,-4)

C(-4,-8)

Now,

The location of A' be after a dilation using a scale factor of 1.25

i.e

A' = (Ax* 1.25 , Ay*1.25 )

A' = (-12* 1.25 , -8*1.25 )

A' = (-15 , -10)

Hence, the location of A' be after a dilation using a scale factor of 1.25 is (-15 , -10) .

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-5m+3m
pls simplify it ASAP

Answers

Answer:

-2m

Step-by-step explanation:

like 5m - 3m but the opposite so -5m, then add 3m

A garden table and a bench cost $1000 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench? first to answer correct gets brainlyes

Answers

Answer:

3000

Step-by-step explanation:

1000x3=3000

$250 I believe is the answer

Does the size of a circular object affect the relationship between its circumference and its diameter?

A. The size will affect the relationship between circumference and diameter because of circumference changes at a greater rate than the diameter.

B. The size has no effect on the relationship between circumference and diameter because the ratio is always equal to

C. The size has no effect on the relationship between circumference and diameter because the two values change independently.

D. The size will affect the relationship between circumference and diameter because of the value changes as the circumference changes.

Answers

Answer: A

Step-by-step explanation: It doesn't. The circumference of a circle is 2*pi*radius and the diameter is 2*radius, so the circumference divided by the diameter is pi, which is the ratio of circumference to diameter.

Answer:

the awnser is A

hope this helped ya :)

Step-by-step explanation:

Which inequality is true?
StartFraction 8 Over 5 EndFraction less-than StartFraction 9 Over 10 EndFraction
1 greater-than StartFraction 6 Over 5 EndFraction
Five-halves less-than 2 and one-half
StartFraction 8 Over 4 EndFraction less-than five-halves

Answers

answer:
1 greater-than start-fraction 6 over 5 end fraction

If the Soccer Coach for your team notices the great sale at Sherman’s Sporting Goods and decides he will purchase 30 Soccer Balls. How much will he pay including 8.875 % sales tax?

Answers

8.875% = 0.0875 • 30 = 2.6625 ≈ $2.66
$30 + $2.66 = $32.66 for the soccer balls in all.
32.66 is the correct answer

Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.

Answers

Answer:

25/20 =1.25 -1 =.25 x 100 =25% more time spent on his HW.

Step-by-step explanation:

Answer:

Evan spent 25 percent more time. Not 125 percent.

I used a proportion to answer this questions.

20=25

100 ?

You cross multiply: 25 times 100 is 2,500. 2,500 divided by 20 is 125.

So Evan is incorrect

If this is wrong I'm sorry

Chet buys a new pair of dress shoes for work. The shoes cost $90 without sales tax. If the sales tax rate is 6.5%, how much will Chet owe the store for his new shoes?

Answers

Answer

$95.85

Step-by-step explanation:

90*.065

5.85

90+5.85

95.85

X / 7 = 3

A. 21
B. 3/7
C. 20
D. -21

Answers

The answer would be A. 21 because 21/7 would equal 3

26 POINTS PLEASE HELP TY !!

Answers

Answer:

200+12x=644

Step-by-step explanation:

37 mark me brainlist

200+12x=644 there’s your answer!

ok i need answer for 11,13,14,15
all MUST be answered for brainlyest

Answers

Answer:

11 is y=4x+35 12 is D 13 is y=-3/2x+450 14 is 150 miles and 15 is 12

Step-by-step explanation:

^^ they got it right but ⚠WARNING DO NOT JOIN THE ZOOM OF 825 338 1513⚠ OR DO NOT JOIN ANY ZOOMS FROM ANYONE EXCEPT REAL LIFE FRIENDS OR FRIENDS FAMILY OR TEACHERS! HIS ZOOM NAME IS Mysterious Men HE ASKS GIRLS TO DO INAPPROPRIATE THINGS PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS! PLS PASS THIS AROUND!

When dividing, round your answer to the nearest tenths place (which means you have to find the hundredths place, in order to round to the tenths place). Half credit given to those who do not round correctly.

2.48 ÷ 0.623 =

Answers

Answer:

ok

Step-by-step explanation:

2.1003

Ok the answer is 2.1003

Ms. Romero runs a house cleaning business. To save money, she bought a 1-gallon container of concentrated cleaner. She mixed the cleaner with 10 gallons of water. Then, she filled as many 1-pint spray bottles as she could. How many spray bottles did she fill?

Answers

Answer:

88

Step-by-step explanation:

The number of 1-pint spray bottles she can fill with 11 gallons is 88.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 km = 1000 m

1 hour = 60 minutes

We have,

The quantity of cleaner and water mixed.

= 1 gallon + 10 gallons

= 11 gallons

Now,

1 gallon = 8 pint

Multiply 11 on both sides.

11 gallon = 88 pints

Thus,

The number of 1-pint spray bottles is 88.

Learn more about unit conversion here:

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15 - 1 (12/4 + 1) =
Please explain your answer.

Answers

Answer:

The Answer here is 11

Step-by-step explanation:

First, we divide inside the parentheses because we always do what is inside the parentheses first, and division comes before addition. So 12/4 is 3. Next we add 3 plus 1, which is 4. Then we multiply (Because multiplication comes before subtraction, and parentheses mean multiplication) 4 times 1 which is 4. Then we subtract 15-4 which comes out to 11.

Hence the answer here is 11.

Hope this helped!!

use the distributive property to expand this expression: 7(a - 3) =

Answers

1) Expand by distributing terms

7a+7 x-3

Simplify 7x-3 to -21

7a-21

Answer:

7a-21

Step-by-step explanation:

7(a-3)=

7 a-21

please help
a__
b__
c__

Answers

Answer:

a) 4 quarts of sparkling water

b) 38.5 quarts of grape juice

c) 80 quarts of sparkling water and 20 quarts of grape juice

The answers for the letters in the chart are on the bottom for b and c.

Step-by-step explanation:

a) You would need 4 quarts of sparkling water for 1 quart of grape juice.

 This proportion is to get the amount of grape juice you need you multiply the amount of sparkling water by .25 to get the amount of grape juice you need.

So for a) I know that .25 of a quart of grape juice is equal to 1 quart of sparkling water. So to get the amount of sparkling water multiply the amount of grape juice you need by .25. And the number you multiplied .25 will be the amount of sparkling water you need. Example: 4 × .25 = 1 quart of grape juice.

4 is the amount of sparkling water you need.

b) For b you just need to multiply the amount of sparkling water by .25 to get the amount of grape juice you need.

154 × .25 = 38.5

You need 38.5 quarts of grape juice.

c) You would need 80 quarts of sparkling water and 20 quarts of grape juice.

80 × .25 = 20

b on the graph is 38.5  because 154 × .25 = 38.5

c on the graph is 400 because .25 × 400 = 100

HOpe this helps ya!!

a is 4 quarts of sparkling water
b is 38.5 quarts of grape juice
c is 80 quarts of sparkling water and 20 quarts of grape juice

31 POINTS PLEASE HELP MEEEEEEE :DD

Answers

Answer:

8.25y - 14

Step-by-step explanation:

4(1.75y - 3.5) + 1.25y

Distribute;

7y - 14 + 1.25y

Combine like terms;

8.25y - 14

URGENT will give BRAINLEIST

Answers

2.9863×10^19 Kilogram

I Need Help With Graphing Linear Functions

Take a look at both screenshots and all of the graphs will be shown. There is two graphs per screenshot and the question should be on the first one I think.

Answers

the answer should be option c
first graph on first picture is correct because you do up divided by across up was 6 and across was 8 and the line is going down so it’s minus and it goes through 5 on the y axis

factor the expression: -12x - 16y

Answers

Answer:

-4(3x + 4y)

Hope I helped

Have a great day

You have to look for the common factor of -12 and -16 which is -4. So the factored expression is -4(3x+4y).

Select all the fractions that are greater than 1/2
3/5
7/13
7/15
10/7
100/200
1000/2001

Answers

10/7 7/13 3/5 is probably some of the answer

All the fractions which are greater than 1/2 are 3/5, 7/13 and 10/7.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The fraction is,

⇒ 1/2

⇒ 0.5

Now, Check all the fractions and find which are greater than 1/2,

⇒ 3/5 = 0.6

Which is greater than 0.5.

⇒ 7/13 = 0.54

Which is greater than 0.5.

⇒ 7/15 = 0.46

Which is less than 0.5.

⇒ 10/7 = 1.43

Which is greater than 0.5.

⇒ 100/200 = 1/2

                 = 0.5

Which is equal to 1/2.

⇒ 1000/2001 = 0.49

Which is less than 0.5.

Hence, All the fractions which are greater than 1/2 are,

⇒ 3/5, 7/13 , 10/7

Learn more about the fraction visit:

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If you multiply -2/3(a-b+12), the answer is _______

A. -2/3a+2/3b-8
B. -2/3a-2/3b+8

Answers

The answer is would be A

Answer:

(A.) -2/3a+2/3b-8

Please help me with this question! Thank you in advance.

-The submarine started at 275 feet below sea level

-After one hour, the submarine is 325.8 feet below sea level. How many feet did it dive?

-After two hours, the submarine dives another 23 feet deeper.

-On hour three, the submarine descended the average of dives from hour one and two.

-Fill in chart below using the information above. Sea level is considered 0 feet.​

Answers

Answer:

Step-by-step explanation:

1. if the sub is at 325.8 at it was originally at 275 you have to put the numbers in absolute value. so 325.8 - 275=50.8

the sub went down -50.8 feet to get to 325.8

if the diver dives another 23 feet you have to put the numbers in absolute value and add 325.8 + 23= -348.8 feet underwater

on hour 3 it says that it descends an average of how much he went down in the first 2 hours witch is -73.8

i got -73.8 by adding hours one and two

then you add hour 3 by -348.8  

Jorge is building a train set for his cousin. He has a piece of plywood that measures 46.5 inches length, and he needs 2 1/4 inch pieces for the tracks. How many pieces can he cut from his piece of plywood?
A. 20
B. 23
C. 44
D.104

Answers

Answer:

i think either a or b

Step-by-step

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