Two groups are going on a trip to the theater. The first group has 30 students in for adult chaperones. The second group has 25 students in for adult chaperones. The cost, in dollars, for each student ticket, S, and each adult ticket, A, can be determined using the system of equations below
Answer:
$20
Step-by-step explanation:
Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.
30s+4a=720
25s+4a=620
What is the cost for each student ticket?
Solution:
30s+4a=720
(1)
25s+4a=620 (2)
Subtract (2) from (1)
30s - 25s = 720 - 620
5s = 100
Divide both sides by 5
s = 100/5
= 20
s = $20
Substitute the value of s into (1)
30s + 4a = 720
30(20) + 4a = 720
600 + 4a = 720
4a = 720 - 600
4a = 120
a = 120 / 4
= 30
a = $30
Each student tickets cost $20
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many
This question is incomplete
Complete Question
An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?
Answer:
a)How many students does the academy have per teacher?
22 students per teacher
b) Per tutor?
11 students per tutor
c) How many tutors does the academy need if it has 132 students?
12 tutors
Step-by-step explanation:
a)How many students does the academy have per teacher?
6 teachers = 132 students
1 teacher = x
6 × x = 132 × 1
x = 132 × 1/6
x = 22 students
Hence, we have 22 students per tutor
b) Per tutor?
4 tutors = 44 students
1 tutor = x students
Cross Multiply
4 × x = 1 × 44
x = 44/4
x = 11 students
Hence, we have 11 students per tutor
c) How many tutors does the academy need if it has 132 students?
44 students = 4 tutors
132 students = x tutors
Cross Multiply
44 × x = 132 × 4
44x = 132 × 4
x = 132 × 4/44
x = 12 tutors
The academy needs 12 tutors if they have 132 students.
HELP RIGHT NOW PLEASE! The perimeter of the rectangle below is 94 units. Find the length of side PS. Write your answer without variables
Answer:
22
Step-by-step explanation:
so permeter of a square is the sum of all the sides
94=5x+5x+4x+2+4x+2
so x=5
then simply subistitue 5 in 4x+2
4(5)+2
=22
The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?
A.
f(x) = (x − 1)2
B.
f(x) = (x + 1)2
C.
f(x) = -1(x − 1)2
D.
f(x) = -1(x + 1)2
Answer: A. f(x) = (x - 1)²
Step-by-step explanation:
Sovle -5x + 8 < - 2x + 23
Answer:
_3x>+31 but I am not sure
Step-by-step explanation:
-5x<-2x+8+23
-3x>+31
Answer:
x > -5
Step-by-step explanation:
1.) Add +5x on both sides
-5x + 8 < - 2x + 23
+5x +5x
8 < 3x + 23
2.) Subtract 23 from both sides
8 < 3x + 23
-23 -23
-15 < 3x
3.) Divide by 3 on both sides
-15 < 3x
3 3
-5 < x
Because you divided by a negative, the sign flips
-5 > x
Sheila has 10 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds. How many containers does she need? Complete the explanation.
Answer: 5 containers
Step-by-step explanation:
Step 1
Given that
Total amount of potato salad = 10 1/2
amount of salad in each container = 2 1/4
Total number of containers = ?
Step 2
Divide the total amount of potato salad by the amount of salad each container can hold
Total number of containers=10 1/2 / 2 1/4 = 21/2 x 4/9= 84/18 = 4 3/5
which can also be written as 10.5 / 2.25= 4.6
Sheila will need 5 containers because 4 will be filled and additional 1 will be partially filled.
Which of the following does the rigid motion preserve?
Answer:Rigid motions preserve collinearity. Reflections, rotations, and translations are all rigid motions.
Step-by-step explanation:
I will send u the pic
Answer:
a pic of ur math?
Step-by-step explanation:
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a question and your answer gets reported and deleted you lose the points you received! So don't put incomplete, absurd, plagiarism answers!
4x+49<9-x
Answer:
x<−8
Step-by-step explanation:
4x+49−9<−x
4x+40<−x
40<−x−4x
−
5
40
>x
−8>x
x<−8
Which steps can be used in order to determine the solution to -1.3+4.6x=0.3+4x?
Answer:
x = 2.67
Move variables to the right and constants to the left, Then divide and you get the answer.
Step-by-step explanation:
-1.3+4.6x=0.3+4x (given)
-1.3x + 0.6x =0.3 (subtraction property of equality)
0.6x = 1.6 (addition property of equality)
x = 2.66666666667 (division property of equality)
2.66666666667 = 2.67 (rounding to the nearest tenth)
will give brainalist!!
ratio please be correct due soon no fake answers
Answer:
Step-by-step explanation:
Strawberry jelly:
120 ÷ 4 × 3 = 90 g
Sponge fingers:
8 ÷ 4 × 3 = 6
Custard:
420 ÷ 4 × 3 = 315 ml
Tinned fruit:
180 ÷ 4 × 3 = 135 g
PLEASEEEEEE HURRY!!! Will give brainly
Write the equation in slope intercept form (y=mx+b) of a line that passes
Through the points (6,5) and (2,4).
Answer:
y = 1/4x + 5/2
Step-by-step explanation:
slope = rise over run
1 rise for 4 run
y intercept = 5/2
what is the anwser if it is 4/-1
Answer:
-4 for else the other sign as no value as of I knw
Helpp pleaseeee i will make brainliest!
Answer:
d and a
Step-by-step explanation:
G
Mr. Chang's class has 28 students, 7 of whom are girls. Which equation shows how to determine the number of girls in
Mr. Chang's class?
o 28-4-49
0 28 x 7 - 16
017-28 - 11
o 1-28-
Answer:
Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.
Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.
the midsegment of ABC is LM what is the length of AL if LB is 20 inches long?
a. 10
b. 40
c. 20
d. 30
Answer:
20
Step-by-step explanation:
since al = lb because it is midsegment and lb = 20 so AL = 20
If CE and FH are parallel lines and m<HGI are parallel lines and m<HGI = 126º, what is m<FGI? HELP ASAP
Answer: <FGI = 54
Step-by-step explanation:
180-126=54
u go to agora cyber charter school?
whos ur math teacher is it Mrs. P?
The value of the angle ∠FGI will be equal to 54 degrees.
What are supplementary angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angles are the angles having the sum of 180 degrees.
Given that there are two parallel lines FH and CE. The value of the angle ∠HGI is 126°. The value of the angle ∠FGI will be calculated as:-
Use the supplementary property and calculate the value of ∠FGI.
∠FGI + ∠HGI = 180
∠FGI + 126 = 180
∠FGI = 180 - 126
∠FGI = 54
Therefore, the value of the angle ∠FGI will be equal to 54 degrees.
To know more about supplementary angles follow
https://brainly.com/question/2046046
#SPJ5
I ONLY HAVE 5 MIN TO TURN THIS IN CAN SOMEONE PLEASE HELP ME!!!!!!!!
Answer:
a. x = 8 yearsb. 52,000Step-by-step explanation:
company A = 28,000 + 3,000 (x)
company B = 36,000 + 2,000 (x)
where x = no. of years.
company A = company B28,000 + 3,000 (x) = 36,000 + 2000 (x)
3,000 (x) - 2,000 (x) = 36,000 - 28,000
1,000 (x) = 8,000
x = 8,000
1,000
x = 8 yearsplugin value of x = 8 into company A and Bcompany A = 28,000 + 3,000 (8)
company A = 52,000company B = 36,000 + 2,000 (8)
company B = 52,000What is cos(37pi)?
A. 1
B. 0
C. -1
D. -2
Answer this pls need it
Answer:
Woah im sorry buh it luks complicated ill try nd wk on it to help u out
Please help ASAP!!!!!!!!
Calculate the sum.
10+ (-42)
O A. 52
O B. -32
O C. 32
D. -52
Answer:
B
Step-by-step explanation:
10 + (-42)
10 - 42
-32
What is the value of the x variable in the solution to the following system of equations?
4x + 2y = 6
x - y = 3
Answer:
The solution is x=2 and y=-1
Step-by-step explanation:
(step 1)
4x + 2y = 6
x - y = 3 - then multiply by 2
4x +2y = 6
2x -2y = 6 then add
6x x = 12 x = 12/6 = 2
Substitue back in (step 1)
4 x 2 + 2y = 6
8 + 2y = 6
Answer is = 2y = -2 y= -1
Solution: x= 2
y= -1
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
Factor 18p-36 to identify the equivalent expressions. Choose 2 answers:
Answer: 9(2p-4)
The greatest common factor of 18 and 36 is 9.
Divide 9 by 18, and 9 by 36.
36 ÷ 9 = 4
18 ÷ 9 = 2
We have to add p to the 2 as well, and a 4 in parentheses.
We get the answer 9(2p-4).
Answer:
It would be a and c
Step-by-step explanation:
HELP WILL GIVE BRAINLYEST
Answer:
Answer is D. 2 & -2
Answer:D
I THINK
Step-by-step explanation:
Hopefully this is the right one
A. Explain how you know that Triangle ABC is similar to Triangle A'B'C'. (use complete sentences and show all your work to get full credit)
B. If AC = 8, A'C' = 12, and AB = 20 what is the length of A'B'?
Answer:
A. Since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.
B. A'B' = 30
Step-by-step explanation:
A. Two triangles are said to be similar if their corresponding angles are congruent to each other.
To know whether ∆ABC and ∆A'B'C' are similar, let's find the measure of their angles each, and see if their corresponding angles are congruent to each other.
∆ABC:
m<A = 59°
m<B = 37°
m<C = 180 - (37 + 59) = 84°
∆A'B'C':
m<A' = 59°
m<B' = 180 - (59 + 84) = 37°
m<C' = 84°
As we can see,
Angle A is congruent to Angle A'
Angle B is congruent to Angle B'
Angle C is congruent to Angle C'
Therefore, since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.
B. AC = 8; A'C' = 12; AB = 20
Since ∆ABC is similar to ∆A'B'C', the ratio of their corresponding sides would be equal.
Therefore:
AC/A'C' = AB/A'B'
Plug in the values into the equation
8/12 = 20/A'B'
Cross multiply
A'B'*8 = 20*12
A'B'*8= 240
Divide both sides by 8
A'B' = 240/8
A'B' = 30
Which is bigger 9/5 or 9/10
Answer:
9/10
Step-by-step explanation:
because it is
If 10 cm on a map represents 25 km of actual ground, how many centímetres would 45 km of actual ground be on the map?
Answer:
18cm
Step-by-step explanation:
10 ?
25 45
cross multiply,
10*45
=450
then divide,
450/25
=18
PROBLEM I WITHOUT A CALCULATOR)
1. A room is warming up such that the temperature rise, in degrees Fahrenheit, is proportional
to the time the room has been heating. After 4 minutes, the room temperature rose 12 °F.
(a) What is the constant of proportionnlit for the
Please help
Answer:
12 minutes I think question kinda confusing