2.1. There are 75 learners who jog and 50 learners who cycle.
2.2. Jeannie's adjusted monthly pocket money is R125.
2.1.Let's represent the number of learners who jog as 3x and the number of learners who cycle as 2x. According to the given ratio, we have:
3x + 2x = 125
Combining like terms, we get:
5x = 125
Dividing both sides of the equation by 5, we find:
x = 25
Now we can substitute the value of x back into the expressions to find the actual number of learners participating in each sport:
Number of learners who jog = 3x = 3 * 25 = 75
Number of learners who cycle = 2x = 2 * 25 = 50
Therefore, there are 75 learners who jog and 50 learners who cycle.
2.2. To calculate Jeannie's adjusted monthly pocket money, we can use the given ratio of 6:5. Let's represent the current monthly pocket money as 6x and the adjusted monthly pocket money as 5x.
According to the ratio, we have:
6x = R150
To find the value of x, we divide both sides of the equation by 6:
x = R150 / 6 = R25
Now we can substitute the value of x back into the expression to find Jeannie's adjusted monthly pocket money:
Adjusted monthly pocket money = 5x = 5 × R25 = R125
Therefore, Jeannie's adjusted monthly pocket money is R125.
Learn more about ratio here:
https://brainly.com/question/26974513
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Plz help due tomorrow
Answer:
A) x is greater than or equal to 4.50
Step-by-step explanation:
the price has to be at least 4.50 so it could be 4.50 or it could be greater than 4.50. Hope this helped.
PLS PLS PLS PLS HELP ME
Exponents work the same way on bases that are _[blank A]_ as they do on bases that are numbers.
When a variable has an exponent, the exponent tells you how many times the variable is _[blank B]_ by itself.
In order to make a negative exponent positive, you must take the _[blank C]_ of the base.
A variable raised to the power of _[blank D]_ is always equal to 1.
Match each blank with the correct item that fills in that blank.
multiplied
0
exponents
reciprocal
1
added
variables
opposite
A - variables
B - multiplied
C - reciprocal?
D - 0
//
I'm not too sure about C. it can either be the reciprocal or the opposite.
Carl is deriving the quadratic equation by completing the square. His work at one of the steps is shown. x + b/na = + or - b^2-4ac. Carl is not sure what the value of n is. What value should he use to continue deriving the quadratic equation correctly? A. 1 B. 2 C. 3 D. 4
Answer:
the correct option is B. 2
Step-by-step explanation:
As given,
x + [tex]\frac{b}{na}[/tex] = ± √b²-4ac
⇒x = -[tex]\frac{b}{na}[/tex] ± √b²-4ac
As e know that the quadratic formula is
x = [tex]\frac{-b + or - \sqrt{b^{2} - 4ac } }{2a}[/tex]
So , by comparing with the formula
we get
n = 2
So, the correct option is B. 2
Round the 136.501 to the whole number.
Answer:
137
Step-by-step explanation:
137 because when it's .5 or higher you round up
P = 100 - 20 cos (8πt/3) That's (8 pi t /3) where t is the time (in seconds). What is the period of the model? Discuss what the period represents in the context of this model.
Answer:
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
Step-by-step explanation:
Cosine is a trigonometric function and trigonometric functions are characterized by having a periodical behavior. The period is the time needed for the function to cover an angle of [tex]2\pi[/tex] radians. By this approach we find that:
[tex]\frac{8\pi\cdot t}{3} = \frac{2\pi\cdot t}{T}[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]T[/tex] - Period, measured in seconds.
Then, we solve (1) for [tex]T[/tex]:
[tex]\frac{8}{3} = \frac{2\pi}{T}[/tex]
[tex]T = \frac{6\pi}{8}\,s[/tex]
[tex]T = \frac{3\pi}{4}\,s[/tex]
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
Jim rides the bus to and from school each day. A one-way trip is 8.12 kilometers. How many kilometers does he travel in 3 days?
Answer:
48.72 km in 3 days.
Step-by-step explanation:
Given that,
A one-way trip is 8.12 kilometers.
We need to find the distance he travel in 3 days.
The distance traveled by Jim in one day to the bus and from school = 2(8.12) = 16.24 km
Distance traveled in 3 days = 3(16.24)
= 48.72 km
Hence, he will cover 48.72 km in 3 days.
what is not a composite number out of 2 4 6 8
Answer:
2
Step-by-step explanation:
2 has the factors 2 and 1 while the others have:
4- 4, 2,1
6- 6, 3, 2, 1
8- 8, 4, 2, 1
Cash loan $100 20.0% 3 years $6 (100 x .2 x .3) $106 ($100 + $6) Big-screen TV $500 9.0% 4 years $ (500x $ College loan $13,000 4.5% 15 years $ $
Answer:
Cash loan = $160
Big screen TV = $680
College loan = $$21775
Step-by-step explanation:
Cash loan :
Loan amount or principal = $100
Interest rate, r = 20.0%
Time, t = 3 years
Using the relation :
Simple interest = Principal * rate * time
$100 * 0.2 * 3 = $60
Final amount = loan amount + interest on loan
Final amount = $100 + $60 = $160
Big Screen TV:
Principal = $500
Rate, r = 9.0%
Time, t = 4 years
Interest amount = (500 * 0.09 * 4)
Interest amount = $180
Final amount = principal amount + interest on loan
Final amount = $500 + $180 = $680
College loan
Principal, = $13,000
Rate, r = 4.5%
Time, t = 15 years
Interest amount = (13000 * 0.045 * 15)
Interest amount = $8775
Final amount = principal amount + interest on loan
Final amount = $13000 + $8775 = $21775
Can you see the image I’m not sure if you can please let me know
Answer:
you can't sorry
Step-by-step explanation:
ycucycycufycycycyc
Answer:
no I can't see
Step-by-step explanation:
please mark me as brainlist
SMART PEOPLE PLEASE TAKE THE TIME TO ANSWER THIS!!!!!!!!!
Answer:
40% ⋅ x = 35
x = 87.5
Step-by-step explanation:
To write an equation representing this situation, use the key words. 40% stays 40%. "Of" is the same as multiplication. "X" remains "x". "Is" is the same as equal to. 35 remains 35. So, the new equation you get is: 40% ⋅ x = 35.
To solve for "x", first turn the 40% into a decimal: 0.4. Now divide 0.4 from both sides to get: x = 87.5.
Note:
The dot "⋅", stands for the multiplication sign. I'm not using the "x" symbol for it because there is a variable x in the equation already.
Hope it helps!
Expanded form of 5*10^-9
Answer:
5,000 + 300 + 20 + 5 = 5,325
Step-by-step explanation:
Determine the slope of the line
Answer:
2 !!
Step-by-step explanation:
use RISE/RUN !! you would go up from the 1 point, on the y axis !! from there, ud go up 2, then to the right 1, so ur slope is 2/1 .... which is 2 !!
i hope this helped !
select the correct choice and fill in the box to complete your choice. pls help!!!
x2 + 3x + 2 by x + 1
Answer:
x²+3x+3
Step-by-step explanation:
hope it helps you
please mark me as brainlist
what is the value of a + b(4c + 2a)?
Answer:
Step-by-step explanation:
You can't find an exact value, but you can find an simpler expression by using the distributive property.
a + 4bc + 2ab
And that is as much as it can be reduced.
Determine the slope and the y-intercept: y = 3x - 1
Answer:
Slope is 3
y - intercept is -1
Answer:
slope = 3, y- intercept is - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 1 ← is in slope- intercept form
with slope m = 3 and y- intercept c = - 1
A bricklayer lays 1200 bricks in an average 8-hour day. How many bricks does he lay in a 40-hour week?
The number of bricks that the bricklayer can lay in a 40-hour week is 6000 bricks.
Let the number of bricks that the bricklayer can lay in a 40-hour week be represented by x.
Based on the information given in the question, the equation to solve the question will be:
8/40 = 1200/x
Cross multiply
8 × x = 1200 × 40
x = (1200 × 40) / 8
x = 1200 × 5
x = 6000
Therefore, the number of bricks that the bricklayer can lay in a 40-hour week is 6000 bricks.
Read related link on:
https://brainly.com/question/18448466
Sara was cliff jumping. She was on a cliff 25 feet above sea level. She jumped into the sea and descended a total of 37 feet. How many feet below sea level did she travel? Justify your reasoning.
Answer:
12 feets below sea level
Step-by-step explanation:
Initial height = 25 feets above sea levwl
Total descent = 37 feets
Distance traveled below sea level = 37 feets - 25 feets = 12 feets
Hence, Sarah traveled 12 feets below sea level
Find the area of the regular octagon.
Answer:
3*4
=12 sq. cm
= 12 cm²
Answer:
48cm^{2}
Step-by-step explanation:
[tex]A=4ah=4*4*3=48 cm^{2}[/tex]
8 students in Mr. Webb's class got an A on the exit ticket. There are 25
students in his class total. What percent of students got an A?*
Answer:
32%
Step-by-step explanation:
To find the percentage, we have to multiply 25 and 8 by 4.
25x4 = 100
8x4 = 32
So, 8 out of 25 is 32%.
Write the coefficients of:
xin 3xy + 8y - Oy
(11) 5 in 61-57'n + 8p
(ii) z'in 3xy +42-64
(iv) yz in 3x - 5yx
Step-by-step explanation:
Here x coefficients are 3y + 8y - OyHere 5 coefficients are 61-7'n + 8pHere z coefficients are 0Here yz coefficients are 0Dxfcv gnhbjmftvgyhgbyhgtyuvgyuibgiuguyvfgtyuik
Answer:
25.12 inches
Step-by-step explanation:
I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.
Answer:
option 1 i think
Step-by-step explanation:
imma just take these 5 points back
What is a perfect square? Why is [tex]x^{2} + 8x +16[/tex] a perfect square?
Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.
PLEASE HELP ASAP!
Triangle CAT has vertices C (2,3), A(-2,6) and T(-1,-4). A translation maps the point A to A' (-1,4). What are the coordinates of C' under this translation?
A. (1, -3)
B. (3, 1)
C. (1, 8)
D. (-8, 1)
you add 1 and subtracted 2
so 2 + 1 = 3
3 - 2 = 1
answer: b. (3, 1)
Three rabbits can eat five carrots in four minutes. How long does it take four rabbits to eat 15 carrots?
Answer:
12
Step-by-step explanation:
15/5=3
3x4=12
100 POINTS IF YOU HELP MEE !! AND ILL GIVE BRAINLISTT !! Complete each statement with the number used to create an equivalent fraction. Multiply to by in both the numerator and denominator to get Multiply { by in both the numerator and denominator to get 16 Multiply by in both the numerator and denominator to get 24 Multiply 1 by in both the numerator and denominator to get 16
Answer:
Step-by-step explanation:
8/8 5/5
Find the missing length?
A. 18in
B. 6in
C. 2in
D. 36in
Answer:
B. 6in
Step-by-step explanation:
We can use the Pythagorean theorem [ a² + b² = c² ] to find the missing side.
8² + b² = 10²
64 + b² = 100
b² = 36
b = 6
Best of Luck!
funny corona-virus meme
Answer:
lol thats funny
Step-by-step explanation:
hahahahahahahahahahahahahahahahahahahahahahahaha!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! That is funny;)
How would I solve this?
Answer:
2.74747741945462
Step-by-step explanation:
i know its long but i think it is correct!:)