Answer:
Step-by-step explanation:
Total number of students = 29000
Number of female = 54% of 29000
54/100 x 29000 = 15660 students
Number of male = 46% of 2900
46/100 x 29000= 13340 students
61% of 29000 are over 25 years
61% of 29000= 61/100 x 29000
= 17690 students
Of the pupils over the age of 25, 30% are male
30% of 17690 students are male
30/100 x 7690 =5307 students
The number of females over the age of 25 = 17690 -5307
17690 - 5307 = 12383 female students.
Given the functions f(x) = x ^ 3, g(x) = 9 and h(x) = 2x , what is an expression equivalant to f(2x) + 3g(x)/h(x) + 3?
Answer:
an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Step-by-step explanation:
As given ,
f(x) = x³ , g(x) = 9 , h(x) = 2x
Now,
f(2x) = (2x)³ = 2³.x³ = 8x³
⇒f(2x) = 8x³
Now,
[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]
⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]
∴ we get
f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Which set of measurements could be the side lengths of a right triangle?
A. {3 in., 5 in., 7 in.}
B. {6 in., 9 in., 12 in.}
C. {8 in., 15 in., 17 in.}
D. {10 in., 20 in., 30 in.}
Answer:
D
Step-by-step explanation:
you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!
The sum of two numbers is 46 and their
difference is 20. What is the smaller
number?
1
A) 40
B) 13
C) 26
D) 12
Answer:
B. 13
Step-by-step explanation:
We have two unknown numbers, let's have two variables for these two unknown numbers, X and Y.
"The sum of two numbers is 46 and their difference is 20."
Meaning we have two equations :
X + Y = 46
X - Y = 20
Looking at the last part of "their difference is 20." We can assume X = Y + 20
So substitute the assumed equation into X + Y = 46
(Y + 20) + Y = 46
2y + 20 = 46
Subtract 20 from both sides :
2y = 26
Divide 2 by both sides :
y = 13
There you go.
PLEASE HELP ASAP
The table shows values for functions f(x) and GX(x) what is the solution to f(x) = g(x)
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)
xis directly proportional to y.
When x=21, then y=3.
a) Express x in terms ofy.
b) Find the value ofx when y is equal to 10.
Only hash channel catfish typically was about 0.06 g during the first six weeks of life at weight increase about 10% each day right a exponential model for the weight how much will the catfish gain weight after six weeks
Answer:
3.225 gram
Step-by-step explanation:
Given that :
Initial weight = 0.06g
Rate of increase, r = 10% = 0.1 per day
Weight gain after 6 weeks
For an exponential model. f(x)
f(x) = a(1 + r)^x
Where ; a = initial amount ; r = growth rate ; x = period
Our model becomes :
f(x) : 0.06(1 + 0.1)^x
f(x) = 0.06(1.1)^x
Number of days in 6 weeks = 6*7 = 42 = x
f(42) : 0.06(1.1)^42
= 3.285 gram
Hence, weight gain after 6 weeks :
(3.285 - 0.06) g = 3.225 gram
OMG HELP MEEEEEEEeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
78
Step-by-step explanation:
*6 on both sides
13*6=d/6*6
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
Determine the average rate of change from x = 0 to x = 4
Answer:
I'm super bad at math sowy!!!
Step-by-step explanation:
\(T T)/
-5.8c +4.2 - 3.1 + 1.4c
Answer:
1.1 - 4.4c
Step-by-step explanation:
(-5.8c +1.4c)+ (+4.2 - 3.1)
Write as an algebraic expression.
1. the sum of m and 8
Answer: m+8 =
Step-by-step explanation:
3(s +1) = 33
What is the value of s?
Answer: the value would be 3
Step-by-step explanation:
I did the worksheet for math!
Answer: s = 10
Step-by-step explanation:
3(s + 1) = 33
I 3 x s = 3s I 3 x 1 = 3 I
3s + 3 = 33
- 3 - 3
__________
3s = 30
/3 /3
s = 10
Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of plane A is 200 mph and the speed of plane B is 300 mph the two planes are blank miles apart after one hour?
Answer:
The distance between them is 230.65 miles
Step-by-step explanation:
Here we use the Cosine formula
[tex]a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour[/tex]
Now the distance for one hour is
= 230.65 ÷ 1
= 230.65 miles
HELP WILL GIVE BRAINLIEST Triangle QRS and triangle WXY are similar. Which statement must be true?
Answer:
C.
Step-by-step explanation:
This is correct because the triangles are similar. Angle S is similar to Angle Y, and Angle R is similar to Angle X.
None of the others can be correct either.
Hope it helps!
16 cm 44.2 cm in percent
PLSS HELP!!
A car was reduced in price by 13% to £17400 what was original price
helpppppppppppppppppppppppp WILL MARK BRAINLIST
Pls help tell me how to do it
Brian has saved five dollars in dimes quarters and half dollars she finds that she has 30 coins all together and there are four times as many quarters as there are half dollars how many dimes does Brian have
9514 1404 393
Answer:
20 dimes8 quarters2 half-dollarsStep-by-step explanation:
Let d, q, h represent the numbers of dimes, quarters, and halves Brian has. We can write 3 equations in these 3 variables:
10d +25q +50h = 500 . . . . value of the coins, in cents
d + q + h = 30 . . . . . . . . . . . total number of coins
4h = q . . . . . . . . . . . . . . . . . four times as many quarters as halves
Using the last equation to substitute into the other two, we get ...
10d + 150h = 500
d +5h = 30
The second equation can be written as ...
5h = 30 -d
and the first can be written to facilitate substitution:
10d +30(5h) = 500
10d +30(30-d) = 500 . . . . . substitute for 5h
900 -20d = 500 . . . . . . . . . simplify
400 = 20d . . . . . . . . . . . . . add 20d-500 to both sides
d = 20 . . . . . . . . . . . . . . . . divide by 20
Brian has 20 dimes.
A tube of toothpaste is marked $3.92 for 8 ounces. What is the price per ounce?
Answer:
$0.49
Step-by-step explanation:
If the tube is 8 ounces and is priced at $3.92, then one ounce would be $3.92/8 =
$0.49
A point S( 8,-2) is reflected across the origin, Find the order pair of its image.
A. ( -8 , 2)
B. ( -8, -2)
C. (2, 8)
D. ( 2,- 8)
Answer:
the answer is B
Step-by-step explanation:
Do your best
The mean average of 4 numbers is 88 what is the fourth number if three of the numbers are 80 95 and 85?
Answer:the fourth number is =97
Step-by-step explanation:
Mean = total number of the given numbers( x1 +x2+ x3....) / numbers given
Let the fourth number be x
given that the mean of 4 numbers = 88 and only 3 numbers are given
such that
Mean = total number of the given numbers( x1 +x2+ x3....) / numbers given becomes
88= (80 +90 + 85 + x ) / 4
88 x 4 =80 +90 + 85 + x
352=255+x
x= 352-255
x=97
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
Which sequence of transformations could be used to map triangle MNO onto M”N”O”?
O T(-2,4) ° ry-axis
O ry-axis •T(-2, 4)
O T(2,-4) • R0,180 degrees
O R0.180 degrees T(2,-4)
Answer:
Option D
Step-by-step explanation:
I dont really know but i think its D
Answer:
a
Step-by-step explanation:
Please help will give Brain
what is the additive inverse of -15 and 15
Answer
-15
Step-by-step explanation:
Find the nth term of the sequence
0, 5, 14, 27, 44......
Answer:
aₙ = 2*n*n - n -1
Step-by-step explanation:
a₁ = 0
a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5
a₃ = 2*3*3 -3-1 = 18-4 =14
a₄ = 2*4*4 - 4-1 = 32-5 =27
......
aₙ = 2*n*n - n -1
Pitágoras filósofo matemático griego biblio entre los años 500 8496 antes de Cristo A qué edad murió y cuántos años hace que murió
Answer:
if you can transfer to englis i may be able to help
Step-by-step explanation:
The first snack is 270 calories for 3 servings, and the second snack is 450 calories How many servings does the snack have to have in order to equivalent to the first snack?
Answer:
5 servings
Step-by-step explanation:
Given that:
For a particular first snack to be = 270 calories;
the servings = 3
Then, for the second snack, the calories = 450.
To estimate the servings for the second snack; we need to equate the first snack with the second snack.
Let y be the value of the unknown second snack
Then:
270 calories = 3 servings
450 calories = y servings
y servings = (450 calories × 3 servings) / 270 calories
y servings = 5 servings
Thus; the second snack needs to have 5 servings in order to be equivalent to the first snack