2:1
Step-by-step explanation:
List all variables
Total people=120
year 11 students=120/2=60
year 10 students=60/3=20
subtract year 10 and 11 students from the total to get the number of year 9 students
year 9 students=120-60-20
=40
year9:year10
40:20
2:1
Value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
What is variable?" A variable is defined as the quantity which represents the change in value as per the given condition in a mathematical problem."
According to the question,
Total number of students in school = 120
As per the conditions given we have,
Number of 11 year students = [tex]\frac{120}{2}[/tex]
= 60 people
Number of 11year students = 3 × ( Number of 10 year students)
⇒Number of 10 year students = [tex]\frac{Number of 11 year students}{3}[/tex]
= [tex]\frac{60}{3}[/tex]
= 20 people
Number of (11year + 10year + 9year ) students = 120
⇒ 60 + 20 + Number of 9 year students =120
⇒Number of 9 year students = 120 - 80
= 40 people
Substitute the value in the given condition to get the value of the variable we get,
Number of 9 year students : Number of 10 year students = n:1
⇒40 : 20 = n: 1
⇒n = 2
Hence, value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
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lesson 5 practice problems
Answer:
Step-by-step explanation:
ok ill help but can soke one help me too
angle A and angle B are supplementary angles. If m∠=(4x - 30) degree and m∠B =(4x-14) degree, then find the measure of ∠A
Answer:
<A = 26°
Step-by-step explanation:
4x - 30 + 4x - 14 = 180
Supplementary angles sum together to make 180
=> 4x + 4x = 16x
=> -30-14 = -44
16x = 180+44
16x = 224
x = 224/16
x = 14°
4(14) - 30 = 26°
Leo wants his bowling mean to be at least 150. His scores are shown. 138, 157, 146, 129, 151
What is the lowest score for Leo’s mean to be 150.0?
(1 point)
121
146
154
179
The lowest score for Leo’s mean to be 150.0 is 179.
Mean can be described as the average of a set of numbers.
Mean = sum of number / total numbers
In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.
Sum of scores = 138 + 157 + 146 + 129 + 151 = 721
The second step is to determine the sum of scores when his mean is 150
Sum of scores when mean is 150 = 150 x 6 = 900
Least score = 900 - 721 = 179
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Answer:
179
Step-by-step explanation:
One it says he wants his score to be at least 150, and then it shows what his scores are which is; 138, 157, 146, 129, 151, then it gives the options of
121
146
154
an 179
then it says what is the lowest score for Leo's mean to be 150.0
and the lowest that it can be is the answer which is 179
Hope this helped, if yes pls put thanks :D
6x+a= 5(x+f) make x subject
Answer:
x = 5f - a
Step-by-step explanation:
6x + a = 5(x + f)
6x + a = 5x + 5f
x = 5f - a
I willl mark brainiest plz answer send right answer get points
Answer: Option D
Step-by-step explanation:
Soup : 15/5 is 3 x 7 is 21
Peanut: 35/7 is 5 x 5 is 25
What is the vertex of y = 2(x - 3)^2 - + 67
a) (-3. -6)
b) (3, -6)
C) (-3. 6)
d) (3, 6)
d.One rectangle weighs what
Answer:
the answer is 2
Step-by-step explanation:
because 7 + 2 = 9 then 9+2=11
Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?
Answer:
18 Tala
Step-by-step explanation:
6/2= 3
3*6= 18
18 Tala
Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.
The value of given expression when x=-4 and y=4 is 1250.
The expression is missing in the question which is [tex]\dfrac{x^6-x}{4y}[/tex].
We have to solve it for x= -4 and y = 4.
Now putting the value of x and y we get,
[tex]\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}[/tex]
[tex]\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}[/tex]
[tex]\dfrac{x^6-x}{4y}=1250[/tex]
Hence the value of given expression when x=-4 and y=4 is 1250.
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A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga.
How many fish are in the aquarium in the restaurant?
Answer:
Which Restaurant and aquarium
Step-by-step explanation:
If you tell the name I can answer it
Calculate the volume of a sphere with radius 2.5 meters.
36.81 m3
65.45 m3
8.18 m3
26.18 m3
[tex]\huge \bf༆ Answer ༄[/tex]
Let's calculate the volume of sphere with :
radius = 2.5 m[tex] \sf \: vol = \dfrac{4}{3} \pi {r}^{3} [/tex]
Now, plug the value of radius (r) and find volume ~
[tex] \sf \dfrac{4}{3} \times 3.14 \times 2.5 \times 2.5 \times 2.5[/tex][tex] \sf \dfrac{12.56}{3} \times \dfrac{25 \times 25 \times 25}{1000} [/tex][tex] \sf \dfrac{12.56 \times 15625}{3} \times \dfrac{1}{1000} [/tex][tex] \sf \approx65416.67 \times \dfrac{1}{1000} [/tex][tex] \approx65.416[/tex]The value closest to it is 65.45
Therefore, that's the most appropriate choice ~
[tex] ꧁ \large \rm{kaul} \: ꧂[/tex]
need assistance with alegbra 2
Answer:
C.
Step-by-step explanation:
Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).
f(x)=(x-2)^2+1
What is an equation of the line that passes through the points (-6, 5) and (6, -7)?
Plz answer
HELP ME!! (only solve A)
Answer:
5.2
?
Step-by-step explanation:
[tex]\text{Given that,}\\\\(x_1,y_1) = (5,2)~~ \text{And} ~~ (x_2,y_2) =(1,0)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{0 - 2}{1 -5} = \dfrac{-2}{-4} = \dfrac 12[/tex]
You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
Answer:
$4,750
Step-by-step explanation:
Answer:
3360
Step-by-step explanation:
1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360
How to solve math equation
Eric needs to make a total of 20 deliveries this week. So far he has completed 13 of them. What percentage of his total deliveries has Eric completed?
Answer:
65%
Step-by-step explanation:
13/20 is equivalent to 65% because half of it will be half of the percentage so that's why it is 65%
ft What is the area of one square?
Answer:
area= length×width
since it is a cube or in this case, a square all sides are the same. meaning all sides are 2ft. now you must multiply 2ft×2ft= 4ft inside. the area is 4ft
Answer:
If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.
Step-by-step explanation:
If this is wrong I'm sorry
(2x+1)(3x+1)=35 using quandratic equation solve
Answer:
x = {-2 5/6, +2}
Step-by-step explanation:
To use the quadratic formula, it is helpful to write the equation in standard form.
(2x +1)(3x +1) = 35
6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34
The quadratic formula tells you the values of x are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]
the square roots of 8 and 2
Answer:
4.82842712475
Step-by-step explanation:
hope you get it
It is 4.82842712475
I used a calculator
A?
B?
C?
D?
If your right I’ll mark brainlest !<3
(Topic: Vectors) - Prove that ADE is a straight line
Answer:
Because the angle is a 180 degree angle.
Step-by-step explanation:
Answer:
If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.
Step-by-step explanation:
hope this helps
pls brainliest
12. Name the angle included between AB and AD.
Answer fast
Answer: Either angle DAB or angle BAD
Explanation:
The segments AB and AD have the point A in common. So this common point is the middle letter of the angle name. We could go for angle DAB or angle BAD as they both name the same exact angle. The order doesn't matter as long as the middle letter is fixed like this.
Erin is volunteering at a soup kitchen. At the start of her shift, she is provided with a 16.3-
ounce jar of peanut butter. She uses it to make peanut butter sandwiches, each with 0.8
ounces of peanut butter. How much peanut butter will be left after Erin makes 20
sandwiches?
Answer:
0.3
Step-by-step explanation:
total:16.3
20*0.8=16 (amount she will use)
16.3-16=0.3
12 5 x-10 what is the value of x
Answer:
X=23
Step-by-step explanation:
12²+5²=(X-10)²
144+25=(X-10)²
169=(X-10)²
√169=√(X-10)²
13=X-10
X=23
Nisha measures the temperature at 12 noon each day.
She records her results on a graph.
Playground Temperature in January
Temperature in degrees
Monday= 2
Tuesday= 6
Wednesday= -3
Thursday= -2
Friday= 1
Nisha says the difference between the coldest and warmest
temperature is 2°C.
Is she correct and why?
Answer:
no, because the highest temperature was 6 and the lowest was -2. that's an 8 degree difference
PLEASE HELP SOMONE.
Suppose you invest $5000 into an account the earns 2% interest compounded quarterly. How much money will you have after 30 years? Use the formula .
Group of answer choices
Answer:
So here is the answer to your question by using the formulae of compound amount.
Initial price( P) = $5000
Interest rate( R) = 2% pa
Time ( T) = 30 years
Compound amount (CA)=?
We have
CA=P(1+R/100)^T
=5000(1+2/100)^30
=$9056.807921
=$9057(Approx)
Thus, the money will be $9057 after 30 years.
The sum of six times a number and six more than the number is the same as the difference between -30 and twice the number what is the number
Answer:
-4
Step-by-step explanation:
let the number be x
6x+(x+6)=-30-2x
7x+6=-30-2x
9x=-36
x=-4
The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 15 cosine (StartFraction pi Over 20 EndFraction t). How long does it take for the waterwheel to complete one turn? 5 seconds 10 seconds 20 seconds 40 seconds.
Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.
The height is modeled by:
[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]
The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.
[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]
[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]
[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]
[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]
The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:
[tex]\frac{\pi}{20}t = 2\pi[/tex]
[tex]t = \frac{40\pi}{\pi}[/tex]
[tex]t = 40[/tex]
It takes 40 seconds to complete one turn.
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Answer:
D. 40 seconds!! Props to guy above.