Answer:
[tex]2.75,\ 0.1x[/tex]
[tex]2.75[/tex]
Step-by-step explanation:
In the expression [tex]2.75+0.1x[/tex] the number [tex]2.75[/tex] represents the cost of a movie ticket in 1980 and [tex]x[/tex] represents the years after 1980. So increase per year is represented by [tex]0.1x[/tex].
If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, [tex]x[/tex] will be [tex]2[/tex].
In 1980, zero years have passed so, [tex]x=0[/tex]
Therefore the cost of movie tickets is represented by [tex]2.75+0.1\times 0=2.75[/tex]
Having trouble with this one help appreciated
Answer:
The constant of proportionality is 3.50.
Step-by-step explanation:
We know that when y directly varies with x, such that
[tex]y=kx[/tex]
The number 'k' is called the constant of proportionality.
Given the equation
[tex]y=3.50x[/tex]
as
[tex]y=kx[/tex]
so
[tex]k=3.50[/tex] ∵ [tex]y=kx[/tex]
Here the value of k = 3.50, which is the constant of proportionality.
Therefore, the constant of proportionality is 3.50.
8/8, 34/34, 100/100 all equal
Answer:sndkzkz
Step-by-step explanation:
Emma
Answer:
yes
they all equal one
Step-by-step explanation:
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.
Solve the system by substitution. 4x=8y 2x+5y=27
Answer:
(6, 3)
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
4x = 8y
2x + 5y = 27
Step 2: Rewrite systems
x = 2y
2x + 5y = 27
Step 3: Solve for y
Substitute: 2(2y) + 5y = 27Multiply: 4y + 5y = 27Combine like terms: 9y = 27Isolate y: y = 3Step 4: Solve for x
Plug in y into an original equation to find x.
Substitute: 4x = 8(3)Multiply: 4x = 24Isolate x: x = 6Answer:
[tex](6,3)[/tex]
Step-by-step explanation:
[tex]4x = 8y\\4x/4 = x\\8y/4= 2y\\x=2y[/tex]
[tex]2(2y)+5y=27\\4y+5y=27\\9y=27\\9y/9=y\\27/9=3\\y=3[/tex]
[tex]x =2y\\x= 2(3)\\x=6[/tex]
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:
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
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
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.
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
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Answer:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Step-by-step explanation:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
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
plss help ASAP
What is the ratio of blue shapes to all shapes in the set below?
4.9
5.9
4.5
5.4
Answer:
5:9
Step-by-step explanation:
There are 5 blue shapes out of 9 total shapes.
Elena knows that 5 servings of granola have 1,750 calories. if she eats 2 servings of granola,how many calories dose she eat
Answer:
700 calories
Step-by-step explanation:
1,750/5
=350
350colories per serving
So multiply 350 by 2
350x2
=700
Answer:
Elena eats 700 calories
Step-by-step explanation:
First, we need to find out how many calories are in one serving of granola. To do that, we will divide; 1750/5=350. We now know that there are 350 calories in one serving of granola. However, the problem is asking for how many calories are in two servings of granola. 350 x 2 = 700. Therefore, Elena eats 700 calories.
I need help pleaseeee
Which is bigger 9/5 or 9/10
Answer:
9/10
Step-by-step explanation:
because it is
Any help is needed!! ❤️ only if you know ofc!
Answer:
b=74degrees
Step-by-step explanation:
First find angle a
180-112-33=35
use angle a to find b
180-35-71=74
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
In a survey of 2,800 people who owned a certain type of car 1,120 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
40% were satisfied
Step-by-step explanation:
You take 1120 and divide it by 2800 to get 0.4 and 0.4 in percent is 40%
Answer:
40%
Step-by-step explanation:
2,800 surveyed
1,120 promised to buy that car again
Assuming that this promise show they are satisfied with the car
2,800. and 1,120
100% x%
crossmultipy and solve
x=100*1,120/2,800=40
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
Helpp pleaseeee i will make brainliest!
Answer:
d and a
Step-by-step explanation:
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
URGENT PLEASE I AM TIMED URGENT SOLVE THE PROBLEM AND PLEASE, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER, GIVE DETAIL'S I WILL MARK AND 5 STARS
I'm pretty sure you just multiply the 1 1/4 by 3 because if 1 1/4 makes 10 muffins you need to make 3 more dozens so 1 1/4 times 3 equals 3.75
A game of chance is played using a six-sided die. If a 1,2 or 3 is rolled the player wins $0 if a 4 or 5 is rolled the player wins $7. If a 6 is rolled the player wins $10. If each play of the game costs 5$ what is the expected pay off?
Answer:
-2.50
Step-by-step explanation:
Using the formula for the expected value, it is found that the expected pay off is of -$1.
The expected value is given by the sum of each outcome multiplied by it's respective probability.In this problem, the outcomes and probabilities are, considering the cost of the game of $5 and that there are 6 sides:
[tex]\frac{3}{6}[/tex] probability of losing $5.[tex]\frac{2}{6}[/tex] probability of winning $2.[tex]\frac{1}{6}[/tex] probability of winning $5.Hence:
[tex]E(X) = \frac{3}{6}(-5) + \frac{2}{6}(2) + \frac{1}{6}(5) = \frac{3(-5) + 2(2) + 1(5)}{6} = -\frac{6}{6} = -1[/tex]
The expected pay off is of -$1.
To learn more about expected value, you can take a look at https://brainly.com/question/24855677
Two of the angles of a triangle are 65° What is the measure of the third angle? O 65 O 130° O Cat they O 50
Answer: The answer is 50°
Step-by-step explanation: 65 + 65=130 180-130=50
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
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
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
I will send u the pic
Answer:
a pic of ur math?
Step-by-step explanation:
Please help ASAP!!!!!!!!
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