Answer:
81
Step-by-step explanation:
Set up a proportion to find how many total students there are [notice how females are on top and totals are on the bottom of the ratios]
[tex]\frac{4}{9}[/tex] = [tex]\frac{396}{x}[/tex] so cross multiply 4x = 396(9) so x = 891, if there are a total of 891 students and you need 1 teacher per 11 students then take 891/11 so you need 81 teachers.
You could set up another proportion 1/11 = x/891
If there are 396 female students, there are 81 teachers.
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
Then their ratio will be formed as
[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]
where is a common factor (not 1)
This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.
Thus, a = px, b = qx
First, Set up a proportion to find how many total students there are
[notice how females are on top and totals are on the bottom of the ratios]
So, 4/9 = 396 / x
then, cross multiply
4x = 396(9)
so x = 891,
if there are a total of 891 students and we need 1 teacher per 11 students then take 891/11.
Thus, you need 81 teachers.
Also, we could set up another proportion 1/11 = x/891
Hence, If there are 396 female students, there are 81 teachers.
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Pierce bought 16 ounces of motor oil for $2.24. How much is motor oil per ounce?
Answer:
$0.14
Step-by-step explanation:
Answer:
0.14
Step-by-step explanation:
2.24÷16=0.14
Enzo is buying wallpaper. He can choose one colour, one texture and one thickness for his wallpaper. At his local DIY store, Enzo can choose from 27 different colours 14 different textures. The total number of options available to enzo for his wallpaper is 2268. Work out the number of different wallpaper thicknesses that enzo can choose from.
Answer:
6 different wallpapers
Step-by-step explanation:
Given
[tex]Colours = 27[/tex]
[tex]Textures = 14[/tex]
[tex]Total = 2268[/tex]
Required
Determine the number of different wallpapers he can choose from
From the question, he can choose 1 from 27 colors;
The number of ways is:
[tex]Colours = ^{27}C_1 = \frac{27!}{(27 - 1)!*1!} = \frac{27!}{26!*1!} = = \frac{27*26!}{26!*1} = 27[/tex]
From the question, he can choose 1 from 14 textures;
The number of ways is:
[tex]Textures = ^{14}C_1 = \frac{14!}{(14 - 1)!*1!} = \frac{14!}{13!*1!} = \frac{14*13!}{13!*1} = 14[/tex]
Assume the total number of wallpapers is x and he can only select 1.
The number of ways of selection is:
[tex]Wallpapers = ^{x}C_1 = \frac{x!}{(x - 1)!*1!} = \frac{x* (x - 1)!}{(x - 1)!*1!} = x[/tex]
So, the total selection is:
[tex]Colours * Textures * Wallpapers = Total[/tex]
[tex]27 * 14* x= 2268[/tex]
[tex]378* x= 2268[/tex]
Divide both sides by 378
[tex]\frac{378* x}{378}= \frac{2268}{378}[/tex]
[tex]x= \frac{2268}{378}[/tex]
[tex]x= 6[/tex]
Hence, the number of different wallpaper is 6
Evaluate (98 x 102) by using suitable identities.
Answer:
The answer is 9996
Step-by-step explanation:
Using the identity (x+a)(x+b) = x ^2 +(a+b)x+ab
Writing 102 as 100+2 and 98 as 100−2
Hence (100+2)(100−2) = 100 ^2 +[2+(−2)]100+(2)(−2)
= 10000+(0)100−4
= 9996
The answer is 9996
Answer:
9996
Step-by-step explanation:
by using suitable identities ;
(98) × (102)(100 - 2) × (100 + 2)10000 - 49996identity used here is :
[tex](a + b) \times (a - b) = (a {}^{2} - b {}^{2} )[/tex]
..........................
Pattern A : 1,3,5,7 .
Pattern B : 1 ,9,25,49
Determine the general formula for the nth term of pattern A .
Hense determine the general formula for pattern B
Step-by-step explanation:
for A
[tex]an = a1 + (n - 1)d \\ d = a2 - a1 \\ d = 3 - 1 = 2 \\ an = 1 + (n - 1) \times 2[/tex]
for B
[tex]an = a1 + (n - 1)d \\ d = a2 - a1 \\ d = 9 - 1 = 8 \\ an = 1 + (n - 1) \times 8[/tex]
PLEASE HELP ASAP!!!!!!
Answer:
No
Step-by-step explanation:
Because after u substitute the 15 for the x u get 38>42 which is incorrect
A small plane has 20 rows of seats. Each row has 4 seats.
help me plz!
Answer:
there are 5 sections
Step-by-step explanation:
and how you want us to help?:))
angle sum theory
PLS HELP!!
A)74°
B)92°
C)83°
D)82°
Answer:
the answer must be 74 or 82
Answer:
It's 58
Step-by-step explanation:
That's the answer
which number is halfway between 318970 and 719070
Answer:
it is 519020
Step-by-step explanation:
Ignore my 1st one!
Find the value of x.
Answer:
x=9
Step-by-step explanation:
Use Pythagorean Theorem -> a^2 + b^2 = c^2
a^2 + b^2 = c^2
(12^2) + b^2 = (15^2)
144 + b^2 = 225
225 - 144 = 81
√81 = 9
x = 9
is y=6x+3 proportional or nonproportional
Answer:
f the x and y coordinates form proportional relationships, then there is some non-changing number (a constant) that when multiplied times x will create y
Step-by-step explanation:
Which of the following best describes the relationship between the number of miles a person runs and the number of calories he/she burns?
A. neither correlation nor causation
B. correlation and causation
C. correlation without causation
D. causation without correlation
Solve these simultaneous equations: 3x = y and x = y - 16
Answer:
x=8
y=24
Step-by-step explanation:
3x=y
x=y-16
Substitute y for 3x
x=3x-16
Add 16 to each side
x+16=3x
Subtract x
16=2x
Divide each side by 2
8=x
y=3x=3×8=24
y=24
Here we have been given with two equations and we have to calculate the values of x and y. So we would be using substitution method for it.
3x = y (Equation No 1)x = y - 16 (Equation No 2)Here we can clearly see that value of y is 3x. So we would substitute it in Equation No 2.
>> x = y - 16
>> x = 3x - 16
>> x - 3x = -16
>> -2x = -16
>> 2x = 16
>> x = 16 / 2
>> x = 8
★ Finding out value of y:-
>> y = 3x
>> y = 3 (8)
>> y = 3 × 8
>> y = 24 [tex] \: [/tex]
4/5 cm * 3/8 cm
please answer fast
Answer:
= 3/10 cm or you can put 0.3 cm
Gary is building a new L-shaped desk for his room. He wants to make sure it
is large enough to hold all his supplies. The dimensions of the desk, in feet,
are shown in the diagram. What is the area of the desk?
9 ft
2 ft
6 ft
6 ft
4 ft
3 ft
A. 24 square feet
B. 36 square feet
C. 30 square feet
D. 54 square feet
Answer:
30ft2. so its c
Step-by-step explanation:
its 30
quiz verified
What is the gcf of 10m^3 +45m
Answer:
ITS 1
10 = 2 • 5
3 = 3
45 = 32 • 5
Answer:
GCF of 40 and 60
Step-by-step explanation:
Solution We first express 20 and 60 as the product of prime numbers 40 = 2 × 2 × 2 × 5 60 = 2 × 2 × 3 × 5. The common factors are 2 × 2 and 5.
what does a square pluse be square
Answer:
a squared + b squared = c square
Step-by-step explanation:
In this formula c represents the length of the hypotenuse a and b are the legnths of the other two sides. if two sides of a right triangle are known you can subsitute these values in the formula to find the missing side
Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
perimeter of any figure can be define the sum of all sides.
perimeter of the figure=33.4ft + 6.5ft + 9ft + 9ft + 9ft + 6.5ft + 7.7ft + 16.7ft
perimeter of the figure=97.8 ft.
Noah ran 54 miles in 9 days.The graph relating Greta’s total distance to the number of days passes through the points (0,0) and (5,45).Who ran more miles per day?
Answer: Noah ran more miles
Step-by-step explanation:
Please help me with trigonometry I’m being timed and need all the help I can get
Answer:
I believe x would equal [tex]12\sqrt{2}[/tex]
Step-by-step explanation:
using the properties of a 45 45 right angle.
At the football game, 3 hamburgers and 6 soft drinks cost $27, and 3 hamburgers and 3 soft drinks cost $18. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?
Let x represent the cost of a hamburger and y represent the cost of a soft drink.
Answer:
Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
4x4x
And the cost of 6 soft drinks can be represented with this expression:
6y6y
Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:
4x+6y=344x+6y=34 [Equation 1]
The following expression represents the the cost of 3 soft drinks:
3y3y
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
4x+3y=254x+3y=25 [Equation 2]
Therefore, the Equation 1 and the Equation 2 can be used to determine the price of a hamburger and the price of a soft drink
Answer:
3x + 6y = 27
3x + 3y = 18
x = $3, y = $3
Step-by-step explanation:
I will solve by using the elimination method.
3x + 6y = 27
3x + 3y = 18
Subtract top equation by bottom.
3x + 6y = 27
- (3x + 3y = 18)
_____________
0 + 3y = 9
3y = 9
y = 3
Plug y in for three
3x + 6*3 = 27
3x + 18 = 27
3x = 9
x = 3
So, your solution is x = $3, y = $3
(Find the commission.)
Earning Commission
Sales CommisionRate Commission $640 4% ?
The commission is $ ?
Answer:
25.6
Step-by-step explanation:
640*4%
Answer:
the commsion is $25.60
Step-by-step explanation:
commission amount = sale price * commission percentage / 100.
what is the circumference if the radious is 20
Answer:
125.6
Step-by-step explanation:
Circumference = 2 x pi x r (radius)
= 2 x 3.14 x 20
= 125.6
Answer: 120
Step-by-step explanation: 20x3x2
20x3=60
60x2=120
Which point is on the graph of f(x)=2x5^x
56 + (-56)
Find each sum
Answer:It equals 0.
Step-by-step explanation:
Because the 56 in parenthesis is a negative so when you add it equals nothing.
Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?
Previous problem : A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. What are all the possible numbers can this rabbit be now?
It should be noted that since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.
What is a number line?A number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values. From the previous problem, the total distance covered by the rabbit is given by:
Total distance = 4 units + 2 units + 1 unit
Total distance = 7 units.
Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:
Total distance = 10 units + 7 units
Total distance = 17 units.
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The heights of Russian dolls are in the ratio 6 : 8 : 9. In a set of dolls, the height of the middle doll is 12 cm. What is the height of the smallest doll
Answer:
Step-by-step explanation:
As 6 is 2 less than 8 so height of smallest doll would be 10cm
Solve:
5x-2y = 6
5x-2y = -4
Please show your work or explain what method you used to solve it (substitution, graphing, or elimination)
what is the number sentence
Answer:
A number sentence is a mathematical sentence made up of numbers and signs. So for example 15 + 7.
They can use any of the mathematical operations so addition, subtraction, multiplication and division
Number sentences can be true or false. Example, 5 + 7 = 13
good luck, i hope this helps :)
the price of a new car is $48,000. If the sales tax rate is 1/3 then how much sales tax is being charged? What is the total cost for the car including tax?
Mike has $72 and he needs to buy some apples. Which of these equations would represent mike's situation of the apples cost $0.60 per apple and he wanted to find out how many apples he could buy
Answer:
120 apples
Step-by-step explanation:
Given data
Total amount= $72
Cost per apple = $0.60
The number of apples = Total amount/Cost per apple
substitute
The number of apples= 72/0.6
The number of apples= 120 apples
Hence he will buy 120 apples