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
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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.
2(15+6y)+5y=9 someone help me
Answer:
y=-21/17
Step-by-step explanation:
Answer:
y= - 21/17
Step-by-step explanation:
Rearrange terms:2(15+6y) +5y =9
2(6y+15)+5y=9
Distribute:2(6y +15) +5y=9
12y+30 + 5y = 9
Combine like terms:12y+30+5y =9
17y+30 =9
Subtract 30 from both sides:17y+30 =9
17y +30 -30 =9-30
Simplify:17y=-21
Answer:y=-21/17
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
If you have 5\6 of a cup of flour, how many twelfths do you have
Answer:
10/12
Step-by-step explanation:
Multiply 5/6x2/2
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
Arjun sells handmade ceramic mugs he Mark's them up by 60% to make a profit they cost $8 in materials how much do this mugs cost after the markup
Answer:
$12.80
Step-by-step explanation:
Before markup: $8
After markup: $8 x 160% = $12.80
This is a topic on percentage. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I've uploaded this topic's notes and will continue to upload more with tips as well!
anyone please help me
Answer:
D
Step-by-step explanation:
The perpendicular equation can be found by getting the reciprocal of the slope then multiplying it by -1. The slope is the "m" value of y=mx+b; in this case, the slope is [tex]\frac{2}{5}[/tex].
To find out if it is C or D, you plug in the x value given in the equation (2) and see if it equals the y value given in the equation (-2). C is incorrect, which means that D is correct.
Answer:
The answer is D
Step-by-step explanation:
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
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
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
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]
evelyns yoga class has 50 participants. its rules require that 60% of then must be present for a class. If not, the class will be canceled. At least how many participants must be present to have a class
Answer:
30
Step-by-step explanation:
50*(60/100)
=50*(3/5)
=30
PLS GIVE BRAINLIEST
The minimum number of participants will be 30
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Evelyn's yoga class has 50 participants. its rules require that 60% of them must be present for a class. If not, the class will be cancelled.
The minimum number of participants will be calculated as,
Number = 50 x (60/100)
Number = ( 5 x 6 )
Number = 30
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What is the slope of y = 4x? *
Please Brainliest me!
The slope of y=4x is 0,4 PLEASE BRAIN ME!
Use the interactive tool to graph the line given the following information:
coordinates (1,–3)
slope of –2
Based on your investigation, what is the value of b for the point (0,b)?
Answer:
b= -1
Step-by-step explanation:
Graph the point and use the slope until you intercept the y-axis
Answer:
-1
Step-by-step explanation:
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.
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:
I need help pleaseeee
WILL GIVE BRAINLIEST!! Need answers!!! Solve
1. -2x = -8
2. -2x - 4 = -18
3. 3 (x -4) = -18
4. (X-5) = -7
5. 2 (2x-4) = -16
Answer:
1. x=4
2. x=7
3. x=-2
4. x=-2
5. x=-3
Step-by-step explanation:
1. Divide both sides by -2 to get x by itself
-2x/-2=-8/-2....
x=4
2. Add 4 to both sides and then divide by -2
-2x-4+4=-18+4
-2x/-2=-14/-2
x=7
3. Distribute, add 12 to both sides and then divide by 3
3x-12=-18
3x-12+12=-18+12
3x/3=-6/3
x=-2
4. Add 5 to both sides
x-5+5=-7+5
x=-2
5. Distribute, add 4 to both sides, divide both sides by 4
4x-4=-16
4x-4+4=-16+4
4x/4=-12/4
x=-3
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.
Create a 5th degree trinomial that has a constant term of 3.
Answer:
[tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.
Step-by-step explanation:
Considering the trinomial
[tex]4x^5\:+\:9x^2\:+\:3[/tex]
As the polynomial contains 3 terms, so it is a trinomial.
As the highest power of the variable 'x' is 5, so the degree of this polynomial is 5.
Any term with no variable is called a constant term. so, 3 is a term with no variable. Therefore, the constant term is 3.
Therefore, [tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.
please help. its on ratio
A train travels 200 miles in 5 hours. How far does the train travel in 3 hours
Answer:
120 miles
Step-by-step explanation:
200/5 = 40 miles per hour
3 hours = 40*3 = 120 miles
PLS GIVE BRAINLIEST
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?
1. Judy took $15 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $3. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks
I cant figure it out-
You know that the popcorn cost $5.00 so the drinks would cost $2.50 each. So when you plot the points you would reach $10.00 for popcorn and have $5.00 for drinks. $15.00 for popcorn and $7.50 for drinks.
Step-by-step explanation:
Judy has $30 to spend.
The price per bag of popcorn is $5.
The price per drink is $2.50.
is your equation
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.
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.
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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
4) Rosemary had $25 to spend on school supplies. She buys 4
packages of mechanical pencils. After her trip to the store, she onl
has $1 left. How much did each pack of pencils cost?
Answer:
Each pack costed 6 dollars
Step-by-step explanation:
Answer:
Each pack costs 6 dollars
Step-by-step explanation:
4x+1=25
4x=24
X=6
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $25 monthly fee and charges an additional $0.10 for each minute of calls. The second plan has a $12 monthly fee and charges an additional $0.14 for each minute of calls For how many minutes of calls will the costs of the two plans equal
Answer:
The amount of minutes of calls in which the costs of the two plans equal is 325.
Step-by-step explanation:
To be able to find the amount of minutes of calls in which the cost of the two plans equal, you have to write an expression in which the price of the first and the second plan are the same an solve for the number of minutes:
25+0.10x=12+0.14x, where x is the number of minutes of calls.
Now, you can solve for x:
25-12=0.14x-0.10x
13=0.04x
x=13/0.04
x=325
According to this, the answer is that the amount of minutes of calls in which the costs of the two plans equal is 325.
Carlo is buying gas for his car. The gas costs $2.75 per gallon, and Carlo buys 9.8 gallons. How much did Carlo spend on gas?
Answer:
26.95
Step-by-step explanation:
you have to multiplies 9.8 ×2.75