Answer:
360 learners
Step-by-step explanation:
One way to solve these types of problems is that you could set up a proportion
learners/teachers = learners/teachers
Let x = no. of learners to enrol
30/1 = x/12
12(30) = x
x = 360 learners
Find the values of the variables and the lengths of the sides of this kite.
What is 56(cos(33) + i sin(33)) = 7(cos(11°) + i sin(11°))?
O 8(cos(30) + i sin(3))
49(cos(30) + i sin(30))
8(cos(22) + i sin(22°))
O 49(cos(22) + i sin(22'))
Answer:
Step-by-step explanation:
56(cos(33) + i sin(33)) = 7(cos(11°) + i sin(11°))
Divide both sides by 7 to get;
8(cos(33) + i sin(33)) = (cos(11°) + i sin(11°))
Expanding and Rearranging gives;
8cos(33) + 8i sin(33)) - cos(11) - isin(11)
This gives ;
8Cos(22) + 8i sin(22) = 8(Cos(22) + I sin(22)
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
Answer:
4
Step-by-step explanation:
The LCD (Least Common Denominator) of all the fractions is 4, so you only need to multiply by 4.
Hope this helps :)
Answer:
Step-by-step explanation:
The greatest denominator is 4 so all the fractions will be eliminated when all terms are multiplied by 4.
How do you find averages
Answer:
You add up all numbers then divide it by how many numbers.
Step-by-step explanation:
Example. You have 1, 2, 3, 4, 5.
So 1+2+3+4+5
=15
Then 15÷5
So answer would be 3.
Hope this helps.
A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted
Answer:
Step-by-step explanation:
P=2K
50K+75P=1200, using P from above makes this equation become
50K+75(2K)=1200
50K+150K=1200
200K=1200
K=6, since P=2K
P=2(6)=12
So 12 puppies and 6 kittens were adopted.
Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?
A 1/6
B 1/3
C 1/2
D 3
Please help!
Answer: that means you have a 3/6 chance which can be simplified to 1/2
1, 3 and 5 are the odd numbers
Step-by-step explanation:
Answer:
the answer is c 1/2
Step-by-step explanation:
since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2
I need help
A line that includes the point (9, 10) has a slope of -1/9 what is its equation in point-slope
form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
Answer:
y -10 = -1/9 (x-9)
Step-by-step explanation:
Point slope form is
y-y1 = m (x-x1)
y -10 = -1/9 (x-9)
1. Complete the table
y=x+7
X
-1
0
2
4
y = x + 7
For -1:
y = -1 + 7 = 6
y = 7
(x,y) = ( -1, 7)
For 0:
y = 0+ 7
y= 7
(x,y) = (0,7)
For 2:
y = 2+ 7
y= 9
(x,y) = (2,9)
For 4:
y = 4+ 7
y= 11
(x,y) = (4,11)
Evaluate the following expression if x=3: x^1
Answer:
3
Step-by-step explanation:
i can never understand these can someone help
The number of bacteria in a petri dish is 50,000 (on day 0) if the amount is doubling each day by when will the number of bacteria be 400,000. Let x represent the number of days and f(x) represent the amount of bacteria. Write an equation.
Answer:
f(x) = 50000*2^x3 daysStep-by-step explanation:
Given:
Initial amount of bacteria = 50000Growth rate = 2 times a dayRequired equation:
f(x) = 50000*2^xSolve for x:
400000 = 50000*2^x2^x = 400000/500002^x = 82^x = 2^3x = 3After 3 days bacteria numbers will reach 400000
The quadrilateral below is a rectangle. Solve for x and m
Answer:
x = 13
∠WZX = 57°
Step-by-step explanation:
Because it is a rectangle, ∠XYZ is 90°
∠XZY + ∠YXZ = 90
(5x - 8) + (x + 20) = 90
simplify:
6x + 12 = 90
subtract 12 from each side
6x = 78
divide both sides by 6
x = 13
∠WZX is complimentary to angle (x + 20)
∠WZX = 90 - (13 + 20) = 57°
solve for x then, find m < FDG and m <GOF.
Answer:
choice 4) x = 27, ∠FDG = 62°, ∠GOF = 118°
Step-by-step explanation:
2x + 8 + 4x + 10 = 180°
6x + 18 = 180
6x = 162
x = 27
∠FDG = 2(27) + 8 = 62°
∠GOF = 4(27) + 10 = 118°
Find the missing side lengths please help
Answer:
Using Pythagoras theorem for right angled triangle,
x^2 = 14^2 + 15^2
X= ✓ 196 + 225
X= ✓ 421
X=20.5
15. You are re-teaching an estimation lesson. You could use:
O A) T fan
OB) poker chips
O C) the game of chess.
OD) a box of paper clips.
16. Operations is another word for
A) estimation
O B) place value
C) computation
O D) story problems
Which value is a solution to the inequality x 4
Answer:
The answer is D
Step-by-step explanation:
We want to see which of the given values is a solution of the inequality:
x < 4
The correct option is A, x = 3.
Finding the solution:
So the inequality:
x < 4
This means that the variable must be a number smaller than 4.
Then we just need to select the option that is smaller than 4, the only option that meets this requirement is option A, x = 3
Also, as you can see in the number line, the only number that is in the shaded part is x = 3 (from the ones in the options).
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
I need the answer asap please
Answer:
62.36
Step-by-step explanation:
hope it is helpful for you mark me brainliest
Given ⊙N, what is mABC ?
A. 111°
B. 138°
C. 222°
D. 276
Answer:
111°
Step-by-step explanation:
angles around a point = 360
360-138=222
angles at the centre is double the circumference
222÷2
= 111
someone pls help me i need to find the amount of hours
Answer:
5.65 hours
Step-by-step explanation:
Given: Initial number of bacteria = 1000
N=1000(2)
To find: Time taken to: increase to 50,000
Solution: N=1000(2)
50,000=1000(2)Taking log,log 50,000 = log 1000(2)4.7 = 3 + _ log 2_ = 1.7/log 2 = 5.65Answer = 5.65 hours
_ = symbol after the two in the brackets that is high up and smaller.
Order the fractions, decimals, and percents from least to greatest. ( If you get it right I will mark you Brainliest.
Step-by-step explanation:
Convert all into decimals:
0.14, 4/8=0.5,0.33
Answer:
0.14, 0.33, 0.5
or
0.14, 3/9, 4/8
Y= -6/5x-7 and y=2/5x+1
Answer:
x = -5
y = -1
Step-by-step explanation:
Y= -6/5x-7 and y=2/5x+1
then:
-6/5x - 7 = 2/5x + 1
simplify:
-8/5x = 8
divide both sides by 8:
-1/5x = 1
multiply both sides by 5:
-x = 5
x = -5
y = 2/5(-5) + 1 = -2 + 1 = -1
Daniel expanded the expression as shown -3(-8x-4y+3/4)=10x-8y-1 1/4 what areas did he make like three options
Question
Daniel expanded the expression as shown. What errors did he make? Select three options.
[tex]-2(-8x-4y+3/4)=-10x-8y-1 \frac{1}{4}[/tex]
A. The first term should be positive.
B. The second term should be positive.
C. The last term should be -1 1/2, not -1 1/4.
D. He divided -8 by -2 instead of multiplying -8 by -2.
E. He did not simplify the expression completely.
Answer:
Daniel's errors are (a), (b) and (c)
Step-by-step explanation:
To do this, we only need to solve the expression on the left.
So, we have:
[tex]-2(-8x-4y+3/4)=[/tex]
Open bracket
[tex]-2(-8x-4y+3/4)=-2 * -8x -2 * -4y - 2 * 3/4[/tex]
[tex]-2(-8x-4y+3/4)=16x + 8y - \frac{2 * 3}{4}[/tex]
[tex]-2(-8x-4y+3/4)=16x + 8y - \frac{6}{4}[/tex]
[tex]-2(-8x-4y+3/4)=16x + 8y - 1\frac{1}{2}[/tex]
From the expression, we can see that:
The first term is positiveThe second is also positiveAnd the third term is[tex]- 1\frac{1}{2}[/tex]So, Daniel's errors are (a), (b) and (c)
Which of the following equations represents a line that passes through the points (10,9) and (0,-6)?
I. 3x-2y=12
II. y= 3/2x - 6
- - - - - - - - - - -
1- neither
2- I only
3- II only
4 - I and II only
Answer:
4
Step-by-step explanation:
I saw karma so i came as fast as I could- welp anyways
Lets test the first equation and coordinate #1 first, 3x-2y=12, and (10,9).
Here we can substitute x as 10 and y as 9, and solve the equation to see if 3(10)-2(9) equals 12 or not.
30-18=12, yep
now lets test the second coordinate, (0, -6). Substitute x as 0 and y as -6, and solve the equation.
3(0)-2(-6)=12
0+12=12, yep
So I definitely works
For II, lets do the same thing
(10, 9) -- 9=3/2*10-6
9=15-6, works
(0, -6) — -6= 3/2*0-6
-6=0-6, also works
So uh therefore I and II both work you see what I mean-
i apologize in advance if i made you more confused than you already are-
Can somebody help and explain too me cause I don’t understand please
Identify the slope of the graph below
Answer:
Positive
Step-by-step explanation:
Answer:
POSITIVE
Step-by-step explanation:
It's positive because the slope is rising like this /
If it was negative it would be declining like this \
hope that makes sense but I'm 1000% sure it's positive
Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest that he paid was $160 how much money did he borrow
Given:
Rate of simple interest = 5%
Time = 4 years
Total interest = $160
To find:
The amount borrowed by Austin from a credit union.
Solution:
The formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]I=160,r=5,t=4[/tex] in the above formula, we get
[tex]160=\dfrac{P\times 5\times 4}{100}[/tex]
[tex]160=\dfrac{20P}{100}[/tex]
[tex]160=\dfrac{P}{5}[/tex]
Multiply both sides by 5.
[tex]800=P[/tex]
Therefore, Austin borrowed $800 from a credit union for 4 years.
Find the missing side lengths. Leave your answers in simplest radical form.
Х
у
60°
30
Find the slope (12,2),(18,-2)
Answer:
[tex]\frac{-2}{3}[/tex]
Step-by-step explanation:
y2-y1/x2-x1
-2-2/18-12
-4/6
-2/3
Which expression is equal to x + (f + g)? (1 point)
a
xf + g
b
x + fg
c
(x + f) ⋅ g
d
(x + f) + g
(urgent)
A relay race is 1/4 mile long and is run by 4-member teams. If each team member runs the same distance, what fraction of a mile does each team member run? Explain how you found your answer
Answer:
0.0625 miles
Step-by-step explanation:
There is a faster way but this way makes more sense
1/4 miles = 440 yards
440/4 (since 4 people)
110 yards per person
Put back into miles
Everyone ran 0.0625 miles