Answer:
Let his net salary = x.
He spent 1/4th of x on School fees
Remainder = 1-1/4 = 3x/4
He spent 1/4th THE REMAINDER on Electricity and Water Bils
1/4 of remainder (3x/4) = 1/4 x 3x/4 = 3x/16
He spent 3x/16 of this salary on Electricity and Water Bills... We should subtract this to know our current value or cash at hand
New Remainder = 3x/4 - 3x/16
= 9x/16.
He spent 1/9th OF WHAT REMAINED ON TRANSPORT.
1/9 x 9x/16
=x/16
New Remainder
= 9x/16 - x/16
=x/2.
If he finally had 8,400
Then
x/2=8,400
x=2x8,400
x= 16,800.
This answer is Correct. You can check it by using our x as 16,800 and solve from the start... You'll arrive at 8400 as your remainder. Have a great day!!!
Help!! No links!! step by step
9. Derrick invested $40,000 in a 529 college fund for his son. If the
account was assigned a 2.25 % interest rate compounded daily, how much
was in the account after 10 years? Round your answer to the nearest
whole number.
O A. $50,093
O B. $59,020
о
C. $65,000
O D. $69,520
Answer:
the answer is c
Step-by-step explanation:
How do I find the measure qrs help????
I’m very confused thanks guys
Answer:
I do not know good luck my bro
Step-by-step explanation:
Answer:
∠QRS = 72°
Step-by-step explanation:
∠R + ∠Q = 180° (supplementary angles)
18x + 12x = 180
30x = 180
x = 6
∠R = 12x = 72° ∠Q = 18x = 108°
Solve for 43.
43 = [?]
58°
139° 41°
43
Answer:
∠3 = 81
Step-by-step explanation:
Interior angles in a triangle add up to equal 180°
Hence, 58° + 41° + ∠3 = 180
58 + 41 = 99
99 + ∠3 = 180
* subtract 99 from each side *
99 - 99 cancels out
180 - 99 = 81
we're left with ∠3 = 81°
Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks. What linear equation??
NEED HELP ASAP DUE TODAY!!! PLEASE AND THANK YOU :)
Answer:
......
Step-by-step explanation:
With these types of problems, it's best to label the unknowns and figure out an equation for what we want to find. Here, we're interested in weight in pounds, which I'll call W, as a function of the number of weeks that have gone by, which I'll call n. So if we can get an equation that relates W to n, we can answer the question of "how many weeks to reach 175 pounds?" by plugging in W = 175 to our equation and solving to find out what value of n gives us that.
Suppose Alex weighs P pounds at the start of his diet. We don't know what P is yet, but we'll aim to find its value later with the information the question gives us.
After 1 week, Alex will lose 2 pounds and will weigh P - 2 pounds
After 2 weeks, Alex will lose another 2 pounds and weigh (P - 2) - 2 = P - 4 pounds
After 3 weeks, Alex will weigh (P - 4) - 2 = P - 6 pounds
You can see the pattern here: after every week, knock off 2 pounds. So in general after n weeks, Alex will lose 2n pounds from his start weight, and he will weigh P - 2n
That gives the equation W = P - 2n, or equivalently
W = -2n + P
We can recognize this as a linear equation, which takes the form y = mx + b, where:
- x is the independent variable,
- y is the dependent variable (the thing that changes as a function of x),
- m is the slope (how much y changes for every unit change in x), and
- b is the y-intercept (that is, the value of y when x = 0).
In our equation W = -2n + P, the number of weeks n is the independent variable, weight W is the dependent variable (it varies as a function of the number of weeks), -2 is the slope (because Alex weight 2 pounds less for every week that goes by), and P - whose value we don't know yet - is Alex's starting weight (i.e., the value of W when n = 0).
To find the value of P, we can use the information in the question that after 6 weeks, Alex weighs 205 pounds. In other words, when n = 6, W = 205. Plug that into our equation and get:
205 = P - 2*6
We can solve that for P:
205 = P - 12
Add 12 to both sides:
P = 205 + 12 = 227
So Alex weighs 227 pounds when he starts the diet, and we have
W = -2n + 227
This is the linear equation the question is asking for.
To find how many weeks Alex needs to reach his target weight of 175 pounds, set W = 175 in the equation and solve it for n:
175 = -2n + 227
Move the -2n over to the other side:
2n + 175 = 227
Subtract 175 from both sides:
2n = 227 - 175
2n = 52
Divide both sides by 2:
2n/2 = 52/2
n = 26
So if he keeps losing 2 pounds per week, Alex will reach his target weight of 175 pounds after 26 weeks.
Of course in real life weight loss doesn't necessarily work like in this question (usually, the rate of loss slows down closer to the goal and the body adapts to eating less). But for the purposes of this question and with this simple linear model of weight loss, Alex would reach his goal weight in half a year.
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
The proof that point (1,3) lies on the circle that is centered at the origin and
contains the point (0, 2) is found in the table below. What is the justification
for the 5th statement?
Statement
Justification
A circle is centered at (0, 0) and
contains the point (0, 2).
Given
Definition of radius
The radius of the circle is the distance
from (0, 0) to (0, 2).
The distance from (0, 0) to (0, 2) is
VO-D) +(2-0) - 127-2
Distance formula
Definition of a circle
If (1, 3) lies on the circle it must be
the same distance from the center as
(0, 2).
The distance from (1, 3) is
VO - 1)2 - (0-3)? - v1+3 - 2
Since (1, 3) is 2 units from (0, 0), it
lies on a circle that is centered at the
Definition of a circle
The justification for the 5th statement regarding the circle is the distance formula.
How to depict the formula?It should be noted that the distance between the points will be found based on the information given.
From the information given, the distance from (0, 0 to (0, 2) will be:
= [tex]\sqrt{0 - 0}[/tex]² + [tex]\sqrt{2 -0}[/tex]²
= 4
= 2
In this case, the justification is the distance formula.
Learn more about circle on:
brainly.com/question/12529233
#SPJ1
What is the equation
in slope-intercept
form of the line that
passes through the
points (20,-25) and
(-8, -11)?
Answer:
y = -1/2x - 15
Step-by-step explanation:
y2 - y1 / x2 - x1
-11 - (-25) / -8 - 20
14 / -28
= -1/2
y = -1/2x + b
-11 = -1/2(-8) + b
-11 = 4 + b
-15 = b
Find the amount each consent would carry if the total amount carried (5 cups) was redistributed equally among all contestants.
Answer:
Step-by-step explanation:
Given that :
Total amount in cups of green Ooze = 5 cups
From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10
Hence ; amout received by each contestants given equal distribution :
5 cups / 10 = 1/2 cups
1/2 cups per contestant.
A rectangular prism has a length of 5 cm, a width of 2. 25 cm, and a height of 0.5 cm.
What is the surface area of the rectangular prism?
A. 5.625 cm2
B. 7.25 cm2
O C. 14.875 cm
D. 29.75 cm?
D. 29.75 is Right answer...
I hope you understand....
what is 500+222+221 and
Answer:
943
Hope that this helps!
(a+b)⁴ binomial expansion
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Method Used :-[tex]Using \: (a+b) {}^{2} (a+b) {}^{2} and (a+b+c) {}^{2} [/tex]
Expansion :-[tex](a + b) {}^{4} \\ = [(a+b) {}^{2} ] {}^{2} \\ = (a {}^{2} +2ab+b {}^{2} ) {}^{2} \\ = (a {}^{2} ) {}^{2} +(2ab) {}^{2} +(b {}^{2} ) {}^{2} +2(a {}^{2} )(2ab) +2(2ab) \\ (b {}^{2} )+2(b {}^{2} )(a {}^{2} ) \\ = a {}^{4} +b {}^{4} +4a {}^{3} b+6a {}^{2} b {}^{2} +4ab {}^{3} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
P = 2n
P - 5 = 1.5n
What value of n makes the system of equations true?
Answer:
n=10
Step-by-step explanation:
P = 2n
P -5 = 1.5n, substitute P
2n -5 = 1.5n, subtract 1.5n and add 5 to both sides
2n -1.5n = 5, combine like terms
.5n = 5, divide both sides by .5
n= 10
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.
Evaluate the algebraic expression 4y + x - w, when w = 12, x = 10, y = 5 and z = 9.
A. 7
B. 8
C. 18
D. 42
Answer:
The answer is C. 18
Step-by-step explanation:
4(5)+10-12=18
Hope this helps!
The radius of a circle is 12 yards. What is the circle's area?
A Stats test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get exactly 2 questions correct
Answer:
0.0512
Step-by-step explanation:
Probability of making a correct guess ; p = 1 / 5 = 0.2
q = 1 - p = 1 - 0.2 = 0.8
Number of questions, n = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 5C3 * 0.2^3 * 0.8^2
P(x = 3) = 0.0512
Please help me out this is not very easy for me.
Answer:
A
Step-by-step explanation:
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters
Answer:
10,353m³
Step-by-step explanation:
We can look for the volume of the warehouse since we are not told what to look for
Volume of the warehouse = length * width * height
Given
Length = 120m
Width = 20 3/10 = 203/20 m
Height = 8 1/2m = 17/2 m
Volume of the warehouse = 120 * 203/20 * 17/2
Volume of the warehouse = 6 * 203 * 17/2
Volume of the warehouse = 3 * 203 * 17
Volume of the warehouse = 10,353 cubic metres
Hence the volume of the warehouse is 10,353m³
What is the arc length of PQ?
Answer:
43.9823
Step-by-step explanation:
[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]
Which of the following equations correctly represents a circle centered at the origin with a radius of 5?
Answer:
The Choose (B)
(B) x²+y²=25
Find missing measure
Answer:
60°
Step-by-step explanation:
360 - ( 80+115+10) = 60°
help me please!! 10 points
Answer:
16
Step-by-step explanation:
number = n
n/2 + 3 = n - 5
n/2 - n = -8
-n/2 = -8
n/2 = 8
n = 16
)If there are 6 builders, it takes 80 days to complete the house. How many builders must be employed to build the house in just 16 days?
Answer:
64 builders must be employed to build a house in 16 days
Help please thank you!
Step-by-step explanation:
In the picture it shows which quadrant is which. Now we can just mark the dots to figure it out using this representation.
W: quadrant 3
M: x axis
C: quadrant 1
K: quadrant 4
Hope that helps!
I need help quick, please
Answer:
B
Step-by-step explanation:
The shape is maintained exactly, it is rotated, not reflected and we can see it became smaller, so dilate it by a value less than one, but greater than 0. (2/3)
Please help with this, will give brainliest.
Answer:
[tex]\text{B. }12.6[/tex]
Step-by-step explanation:
The cut the construction worker makes forms two right triangles. Therefore, we can use the Pythagorean theorem to solve this problem:
The Pythagorean theorem states that for any right triangle, the following is true: [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
[tex]a^2+b^2=c^2,\\12^2+4^2=c^2,\\c^2=160,\\c\approx \boxed{\text{B. }12.6}[/tex]
SOMEONE HELP WITH THESE 2 questions please!!!!!! Will mark brainlist !!!! And worth points !! Please don’t answer if u don’t know !!
Answer:
8) 62.83
9) 603.19
Step-by-step explanation:
Use an online calculator.
Hope this Helps!
Btw, pls brainliest.
Find the area of a triangle with the following measures:
B-12 inches
H-5 inches
What is the answer to this
Answer:
Nothing because where is the problem or question?
Step-by-step explanation:
Answer:
You have to attach the link or copy and paste the questions so I can see what your talking about and I can answer it.
Step-by-step explanation: