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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.
HELPPP
Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
Answer:
they will meet 10 miles out after 2 hours
Step-by-step explanation:
How do functions work? Could someone explain how to know which questions are functions or not
Answer:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
Step-by-step explanation:
here is a step by step equation:
f(x) = x + 7
if:
x=2
then:
f(2) = 2 + 7 = 9
A function is linear if it can be defined by
f(x) = mx + b
Makes sense? Hope I helped
plus I'm in middle school learning this also.
Vocabulary Explain why each relationship is not linear PLEASE HELP ASAP
Answer:
11) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 1 every time but the y-value is not constant. It goes up by 2 from 4.5, 6.5, 8.5, but then at 8.5 to 11.5, it went up by 3 which means that it's not a constant rate of change and is not linear.
12) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 2 every time but the y-value is not constant. It went down by 14 then 16 and 18. All these numbers and different which means that the table does not have a constant rate of change and is not linear.
Step-by-step explanation:
Always remember that linear tables, graphs, etc have a constant rate of change.
Hope this helps you
-2
What is the solution to the equation
-30 3
+
- 20-8
0-4
d+2?
O d = -4 and d = 2
O d= -2 and d = 4
O d=1
O d = 2
Answer:
It would be the 2nd one
Step-by-step explanation:
Can someone help me with the questions in the picture?
please help me out....
how to write this numbers in word 23.13
Answer:
twenty three and 13 hundredths
Answer:
Twenty three point thirteen
La utilidad máxima esperada por la venta de televisores en una tienda departamental para el primer mes se representa por la siguiente ecuación de utilidad U = - x2 + 500x + 100,000; obtenga las unidades y la utilidad máxima esperada por esa venta.
Explicación paso a paso:
La ganancia máxima esperada ocurre cuando dU / dx = 0
Dada la función U = - x2 + 500x + 100,000
dU / dx = -2x + 500
Dado que dU / dx = 0
Por lo tanto -2x + 500 = 0
Solución para x;
-2x = -500
x = 500/2
x = 250
Sustituya x = 250 en la función para obtener la máxima ganancia esperada como se muestra;
U = - (250) ^ 2 + 500 (250) + 100.000
U = -62500 + 125000 + 100000
U = 162,500 '
Por lo tanto, la ganancia máxima esperada por las ventas es de 162,500
20 POINTS!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
9514 1404 393
Answer:
8x +96 yd
Step-by-step explanation:
The perimeter is the sum of the side lengths. In this case, it will be twice the sum of the overall length and the overall height.
The overall length is the sum of the two horizontal segments at top:
(x -2) +(3x) = 4x -2
The overall height is the sum of the right-side vertical segments:
10 + 40 = 50
Then the perimeter is ...
P = 2(L+W) = 2((4x -2) +50) = 2(4x +48) = 8x +96
The perimeter is 8x +96 yards.
Whats % is 4 of 16 ?
Answer:
25 percent
Step-by-step explanation:
percent=1/100
16 times x=4
16 times 1/4=4
Answer:
.06 % (6%)
Step-by-step explanation:
I'm not good at explaining but,
Using baseball method I:
1. Wrote it out as a fraction
2. multiplied numerator (4) by the denominator of (16)
3. Then I divided the product of that, 64, by 100 and got .04
Which is 4% (:
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AJKL= AQRS?
Check all that apply.
O A. HL
B. SAS
O C. LL
O D. HA
D E. LA
F. SSS
Answer: HL, SAS, LL, SSS
Step-by-step explanation:
its that easy
ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.
Options A, B, C, and F are the correct answer.
What is triangle congruency?
There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
LL congruency
Two triangles are said to be congruent under LL congruence if they have two pairs of corresponding sides that are equal in length and the included angles between these pairs of sides are also equal.
HL congruency
If two right triangles have the same hypotenuse and one corresponding leg, then the two triangles are congruent (have the same shape and size).
Now,
The two triangles are right triangles.
So,
From the definition of congruency, we can say,
ΔJKL and ΔQRS are congruent by:
HL, SAS, SSS, and LL.
Thus,
ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.
Learn more about triangle congruency here:
https://brainly.com/question/12413243
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Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year
Which equation can be used to determine the number of years, 2, at which the trees will be an equal height?
A:14 + 12x= 16 + 2x
B:16 + 12x = 14 +2x
С:12 + 16x =2 + 14x
D:12 + 14x= 2 + 16x
Answer:
The answer is D
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.
Variety [A] = 14x + 12
Variety [B] = 16x + 2
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
Therefore, the equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
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A caterer has 5 rolls. He is ordering more rolls. He can order up to 9 packages of rolls and each package contains 12 rolls. The caterer cannot order partial packages. The function that models the number of rolls the caterer has is f(p)=12p+5, where p is the number of packages he orders.
What is the practical domain of the function?
Giving points and brainliest.
Answer:
1-9 inclusive
Step-by-step explanation:
HELP ME THIS IS THE LAST ONE
Answer:
100,000m
Step-by-step explanation:
find the square root of 100 squared +1,000squared
Arunner jogs 2 mi 120.3 yd. how far does the runner jog in meters?
round your answer to the nearest tenth of a meter.
conversion ratios:
1 m = 3.3 ft
3 ft = 1 yd
5,280 ft = 1 mi
1,760 yd = 1 mi
?
Answer:
To the nearest tenth of a meter, this is 3,309.4 m
Step-by-step explanation:
Here, we want to convert the jogging distance to meters only
we have 2 miles 120.3 yards
5,280 ft = 1 mile
2 miles will be 5,280 * 2 = 10,560 ft
3 ft = 1 yard
x ft = 120.3 yards
x = 120.3 * 3 = 360.9 ft
Adding both together to give ft only, we have
360.9 + 10,560 = 10,920.9 ft
1 m = 3.3 ft
x m = 10,920.9 ft
x = 10,920.9/3.3
x = 3,309.363636363636
To the nearest tenth of a meter, this is 3,309.4 m
1/2b-9+8b-7-b+14
I need to combine like terms.
Answer:
Step-by-step explanation:
1/2b+8b+(-b) = 7 and 1/2 b
(-9)+(-7) +14 = -2
so the answer is: 7 1/2b -2
Find the equation of the line specified.
The line passes through the points (-2, 3) and ( -4,7)
Answer:
Step-by-step explanation:
to get the slope, we use the fotmula y2-y1/x2-x1
so that would be
7-3 over -4-(-2)
7-3=4 and -4-(2)=-2
so the slope is -4/2x, or simply -2x
How many solutions for the equation, 8x - 19 = -4 -7x
Answer: One.
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 8*x-19-(-4-7*x)=0
Pull out like factors : 15x - 15 = 15 • (x - 1)
Solve : 15 = 0
Solve : x-1 = 0
Add 1 to both sides of the
find the value of 10z when z =0.8
Answer:
So, your answer to 10z would be 8.
Step-by-step explanation:
All you need to do is plug in 0.8 for z. A cool trick when multiplying by ten is you can move the decimal point over 1 to the right. So, 0.8 would become 08.0, aka 8.
Hope this helps you
A biker cycles 9 miles in 2 3 of an hour. b The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)
Answer:
27/2
Step-by-step explanation:
Hope this helps! Also dont add comments to get gems like bruh ;-;
Answer: 27/2
Step-by-step explanation:
[tex]9\cdot \:1=x\frac{2}{3}[/tex]
[tex]x\frac{2}{3}=9\cdot \:1[/tex]
[tex]x\frac{2}{3}=9[/tex]
[tex]3x\frac{2}{3}=9\cdot \:3[/tex]
2x= 27
x= 27/2
Add Me Brainliest!
Peter creates balloon animals for different events. He has 644 balloons. He wants to use
the same number of balloons for each of 28 events. How many balloons can Peter use at
each event?
Answer:
He uses 23 balloons for each of the 28 events.
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
I divided 644 by 28. There are 644 balloons and you want to split
(divide) into the same number of balloons with none left over. Look for those key words to tell you what type of math your doing. Hope this helps!
3. If f(x) = 12x + 14, what is the range value for the domain value 3?
Answer:50
Step-by-step explanation:
You are given the domain value which is your "x".
So to solve the problem you fill x as 3
Making the equation f(x)=12(3)+14
12 * 3 = 36
36+14=50
There is your answer!
Sa se determine termenii de rang 10,15,20 ai progresiei aritmetice :a)-4,-1,2,5,...;b)10,6,2,-2...;c)1/2,1,3/2,2,...;d)-2/3,-2(6),-4 intregi pe langa 2/3
Answer:
Step-by-step explanation:
solve for the indicated information solve for n
Answer:
n = 81
Step-by-step explanation:
The left angle in the upper triangle and 44° are Alternate angles and congruent.
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
n is an exterior angle of the upper triangle, thus
n = 44 + 37 = 81
Please help! Which inequalities represents the domain & range of this problem
Answer:
X ≥ 20 and f(x) ≥ 1020
Step-by-step explanation:
What is the measure of one exterior angle of this polygon?
answer:
36°
step by step explaination:
The regular, convex decagon is a subtle and elegant shape then with 10 exterior angles of 36° , 10 interior angles of 144°
1. Find the distance between the
points: (1, 2),(6, 4)
Someone help me with this plis !
Answer:
5.8516
Step-by-step explanation:
To find the distance between these 2 points we have to use the distance formula. The distance formula is as follows:
[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Let's find the variables of this equation:
x2 = 6
x1 = 1
y2 = 4
y1 = 2
Now, we can plug these in to the equation:
[tex]d = \sqrt{(6-1)^2 + (4-2)^2}[/tex]
Next, let's solve:
[tex]d = \sqrt{(5)^2 + (2)^2}\\d = \sqrt{25 + 4} \\d = \sqrt{29} \\d = 5.8516[/tex]
Therefore, the distance between points (1,2) and (6,4) is 5.8516
Hope this helps!!
- Kay :)
Which comparison is true? Use the number line to help you. A number line going from negative 6 to positive 6 in increments of 1. Negative 5.8 > Negative 5 and three-fourths 3.6 < StartFraction 37 Over 10 EndFraction 4 and one-third = 4.4 3.6 > 4.4
Answer: its (A) and sorry if its wrong and tell me if it is and if it is wrong the answer is (C)
Answer:
it is b
Step-by-step explanation:
Solve -6x - 7 = 17.
X=_
Answer:
x=-4
Step-by-step explanation:
-6x=17+7
-6x=24
x=-4
Answer:
x = -4
Step-by-step explanation:
Add 7 to each side of the equation (left and right of the equal sign) which should get you to -6x = 24. Then multipy both sides by -1 to make the -6x positive and turn the 24 negative. That should leave you with 6x = -24, then divide by 6 on each side and your answer should be x = -4
x(4- k) = p
solve for k
Answer:
Answer
3.0/5
10
FluttershyK22
x(4-k)=p
[x(4-k)=p]/x
4-k=p/x
-4 = -4
-k=p/x-4
k=4-p/x
Step-by-step explanation:
Answer:
k = - 4 + p
Step-by-step explanation:
p = x ( 4 - k )
p = 4x - kx
-4x -4x
4x - p = - kx
divide by -x
-k = 4 - p
divide by -
k = - 4 + p
Hope this helps!!!