Answer:
Interest = Nu 600
Amount = Nu 5600
Step-by-step explanation:
P = Nu 5000
R = 12%
T = 1
[tex]Interest = \frac{PRT}{100} = \frac{5000 \times 12 \times 1}{100} = Nu \ 600[/tex]
[tex]Amount = P + Interest = 5000 + 60 0 = Nu \ 5600[/tex]
the single discount of two successive discounts 10% and 5% is
Answer:
14.5%
Step-by-step explanation:
Use the number 100 as an example to find the single discount.
Take a 10% discount off of this:
100(0.9)
= 90
Take a 5% discount:
90(0.95)
= 85.5
So, after the successive discounts, $14.5 was discounted.
This means that the single discount is 14.5%.
So, the answer is 14.5%
How many solutions are there to the equation below?
8(x-3) = 7x- 20
Answer:
x = 4 (ONE solution)
Step-by-step explanation:
This is a first order linear equation, so we can expect 1 solution.
Multiplying out the left side, we get:
8x - 24 = 7x - 20, which simplifies to:
x = 4 (ONE solution)
If 12 girls can sweep a room in 20hours, how many hours will it take 8 girls to perform the same task, assuming they are sweeping at the same rate?
Answer:
30 hour
Step-by-step explanation:
girls time
12 20 hour
8 x(let)
now,
12/8=x/20
12×20=8×x
240=8x
x=240/8
x=30,,
The 12th term of GP whose
1
first term is 1/8 and second
term is 1/2is
Answer:
jjanation:jdgjdjgdjgjkdkidjgjghdjjghhkd
Susan was posting gifts to her family. She weighed three envelopes before posting them. Geace Envelope A Envelope B Envelope C • Envelope A weighed x grams. Envelope B was 50 grams lighter than Envelope A. • Envelope C was three times as heavy as Envelope A. If the total weight of the three envelopes was 840 grams, write an equation in x and solve it to find the weight of Envelope A. (
Answer:
5x+50
Step-by-step explanation:
you have one x. An x plus fifty. And 3 mire x's. So 5 x's and a 50.
Select the correct answer from each drop-down menu.
Consider the function f(x) = 2x + 6 and the graph of the function g shown below.
The graph of g is the graph off translated (1,4,5 or 6) units (left, right, up, or down)
and g(x) =
Answer: The graph of g is the graph of f translated 5 units right, and g(x) = f(x - 5).
Step-by-step explanation:
The graph f(x) = 2x = 6 translated (1,4,5 or 6) units (left, right, up, or down) are g(x) = 2(x + 1) + 6, g(x) = 2(x - 4), 2x + 11, g(x) = 2x.
What are the transformation rules of a function?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over y axis, (-x, y).
-f(x) = Reflection over x-axis, (x, -y).
Given, a function f(x) = 2x + 6.
g(x) is translated 1 units left.
g(x) = 2(x + 1) + 6.
g(x) is translated 4 units right.
g(x) = 2(x - 4).
g(x) is translated 5 units up.
g(x) = 2x + 6 + 5 = 2x + 11.
g(x) is translated 6 units down.
g(x) = 2x.
learn more about graphs here :
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What is the correct written expression for the variable expression: (3 - x)/7
3 divided by the difference of 7 and x
or
the difference of 3 divided by 7 and x
Answer:
3 divided by 7 and x=-1.5*x
Step-by-step explanation:
If "u" varies directly with "v," and u = 6
when v = -7, what is "u" when v = 4
9514 1404 393
Answer:
u = -3 3/7
Step-by-step explanation:
The new value of v is 4/-7 = -4/7 of the old value. Because u varies directly, its new value will also be -4/7 of the old value.
u = -4/7(6) = -24/7
u = -3 3/7
Finding the Area of a Circle Given the Radius Th It The area in terms of pi isi mi? The approximated value for the area is A circle has a radius of 3 miles. Use the work shown below to identify the area in terms of pi and the approximate area of the circle. Use 3.14 for a and round the answer to the nearest tenth. A = 2 A= T(3 mi) A = 3.14(9 mi)
Answer:
I'd use A = πr^2
The area is 28.3 if we're using 3.14 as pi (rounded to the nearest tenth)
The ratio of girls to boys in a particular classroom is 4: 3. What fraction of the total number of students are boys?
The ratio of boys to the total number of students in a particular classroom is
Answer:
3 : 7
Step-by-step explanation:
The ratio of girls to boys = 4 : 3
Since there are only two possible genders :
Then the total fraction of student is the sum of the ratio = (4 + 3)
Since,
Boys = 3
The ratio of boys to the total number of student in the class will be :
Boys : Total
3 : 7
Given m n, find the value of X.
Answer:
x = 62
Step-by-step explanation:
62 and x are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
PLEASE HELP ASAP!!! What is the range of the function shown on the graph?
(The graph is below)
Answer:
-6 < y < ∞
Step-by-step explanation:
The range is the values that y can take
y goes from almost -6 to infinity ( there is an asymptote at -6)
-6 < y < ∞
What is the probability of flipping a coin 10 times and getting heads 5 times? Round your answer to the nearest tenth percent.
The Probability is 1/2 or .5, .5 rounded to the nearest tenth would be irregular because .5 is already in the tenth place but according to the law of rounding since ut is five it would be rounded up giving the whole number 1
Write down the equation of the function whose graph is shown.
will mark brainliest
Answer:
y = 1(x - 5)² + 3
Step-by-step explanation:
The general formula of a quadratic equation is written as;
y = a(x − h)² + k
Where (h, k) are the x and y coordinates at the vertex.
Our vertex coordinate is (5, 3)
Thus;
y = a(x - 5)² + 3
Now,we are given another coordinate as (8, 12)
Thus;
12 = a(8 - 5)² + 3
12 = 9a + 3
9a = 12 - 3
9a = 9
a = 9/9
a = 1
Thus,the equation is;
y = 1(x - 5)² + 3
A final statistics exam had a mean of 70 and a variance of 25. If Bruce earned an 80 on his exam, what is his score?
Answer:
2
Step-by-step explanation:
Value = 80
Mean = 70
Variance = 25
Standard deviation=root(Variance)=root(25)=5
z score = (value - mean)/standard deviation
= (80-70)/5
= 10/5
= 2
z-score using mean 70 and variance 25 is 2
Given :
A final statistics exam had a mean of 70 and a variance of 25
First we find out standard deviation using variance
standard deviation =[tex]\sqrt{variance} =\sqrt{25} =5[/tex]
Now we find out z-score
[tex]z-score =\frac{value - mean}{standard \; deviation }[/tex]
value =80
mean=70 and standard deviation =5
substitute all the values
[tex]z-score = \frac{80-70}{5} =2[/tex]
So, his z-score using mean and variance is 2
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Use the drawing tools to form the correct answer on the graph. Graph this function. - 2 + 8 = Reset ® Delet Undo Drawing Tools Click on a tool to begin drawing. Select Point 10 Line 8 3 6- 4 2 2 4 6 -2 8 10 -4 -10 -8 -6 -2 7071 Frmentum. All rights reserved.
Answer:
we have,AD=x cmBC=AD=x cmAB=2AD=2x cmDC=4 cm+AB=(4+2x)cmPerimeter of the trapezium, p=38 cm
The graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8
The function is given as:
[tex]f(x) = -2x + 8[/tex]
The above function is a linear function.
A linear function is represented as:
[tex]y =mx + c[/tex]
Where:
m represents the slope, and c represents the y-intercept.
So, by comparison;
[tex]m =-2[/tex]
[tex]c = 8[/tex]
This means that the graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8
See attachment for the graph of the function
Read more about linear functions at:
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Based on a regression analysis, a researcher concluded that 45% of the variance in minutes of activity per day can be explained by age, hours of sleep, and minutes spent on social media. What does the value 45% represent
Answer:
Coefficient of determination, R²
Step-by-step explanation:
The proportion of variation of the dependent variable that can be explained by the regression line is defined by the coefficient of determination, R².
In the scenario described above, the proportion of variation in the number of minutes of activity per day(dependent variable) that can be explained by age, hours of sleep and minutes spent on social media (independent variables) which forms the regression line is 0.45 (45%) is the coefficient of determination while (1 - 0.45) = 0.55 is due to other factors.
Plz help with this question I don’t get it is an image
Answer:
D
Step-by-step explanation:
For this question, we know that x represents the thousands of square feet in the stadium. We also know that the stadium is 18 thousand square feet. Therefore, the amount of thousands of square feet, or x, is 18. We can then plug 18 in for x in the equation, getting
[tex]C(x) = \frac{7250000}{18+60} \\= \frac{7250000}{78}\\= 92948[/tex]
as our cost
Next number of 5,11,23,42,69,105,151
NEED HELP ASAP
So for this problem I got 10.8 by multiplying 0.60 x 18. However it stated that my answer is incorrect. How do I go about this problem because I am not sure what else to do?
We are looking for the total amount of the solution. We only know part of it, that there are 18 milliliters of the alcohol. We also know that the alcohol makes up only 60% of the solution.
To find the whole, we can set up a proportion using the information given.
60 / 100 <--- This is our percentage, which we were given.
18 / x <--- This is the part (alcohol - 60%) over the whole, which we don't know and which also corresponds to the 100.
Therefore, our proportion is as such:
60 / 100 = 18 / x
To solve, cross-multiply.
100 * 18 = 60 * x
1800 = 60x
x = 30 total milliliters of the solution
Hope this helps!
upandover has a great solution. Here's a slightly different approach.
x = total amount of solution (consisting of water and alcohol mixed)
0.60x = 60% of x = amount of pure alcohol
0.60x = 18 since we have 18 mL of pure alcohol
Divide both sides by 0.60 to isolate x
0.60x = 18
x = 18/0.60
x = 30
Answer: 30 mL of total solution (alcohol + water).
13. Find the length of X (in the picture)
Answer:
x=2
Step-by-step explanation:
the sides are proportional due the angles being equal
since the hypotonuse is 5 on the bigger one and 2.5 on the small one we can infer there is a ×2 difference
so 4÷2=x
x=2
[tex]8 \times {2}^{n + 2} = 32[/tex]
What is the value of n
Step-by-step explanation:
2³×2^n+2=32
2^3+n+2=2⁵
n+5=5
n=0
[tex]_____________________________________[/tex]
[tex]\sf\huge\underline\red{ANSWER:}[/tex]
[tex]\tt n = 0[/tex]
[tex]\sf\huge\underline\red{SOLUTION:}[/tex]
[tex]\tt8 \times {2}^{n + 2} = 32 \\ = \tt {2}^{3} \times {2}^{n + 2} = 32 \\ = \tt {2}^{n + 5} = 32 \\ = \tt {2}^{n + 5} = {2}^{5} \\ = \tt n + 5 = 5 \\ = \tt n = 5 - 5 \\ = \large\boxed{\tt{\green{n = 0}}}[/tex]
[tex]_____________________________________[/tex]
[tex]\large\boxed{\sf{\green{CarryOnLearning}}}[/tex]
[tex]\large\boxed{\sf{\red{MathDemonQueenシ︎✌︎}}}[/tex]
[tex]\large\boxed{\sf{\green{ItsMoreFunInThePhilippines✌︎}}}[/tex]
Can someone answer with steps and explanation? Thanks.
Answer:[tex]\color{yellow}{}[/tex]
∆ABC
∆DEF
∆ABC
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BE>
CF>
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A=3.7
A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount, in dollars, the customer pays for the discounted book? Explain and SHOW how you arrived at your answer.
Answer:
$30.21
Step-by-step explanation:
100% -25%= 75%
Discounted price of the book
= 75% ×$38
= $28.50
Since the customer must pay an additional 6% of the discounted price,
percentage of discounted price paid
= 100% +6%
= 106%
Total amount paid
= 106% × $28.50
= $30.21
_________________________________
Alternative working:
Original selling price= $38
Since the book is discounted 25%,
100% ----- $38
1% ----- $0.38
75% ----- 75 ×$0.38= $28.50
Since the sales tax is based on the discounted price, we let the discounted price be 100%.
100% ----- $28.50
1% ----- $0.285
106% ----- 106 ×$0.285= $30.21
∴ The total amount the customer pays for the discounted book is $30.21.
Solve the inequality.
y-6 < -13
y< 19
O
y<7
y<-7
y < -19
Answer:
y < -7.
Step-by-step explanation:
y - 6 < -13
Add 6 to both sides:
y - 6 + 6 < -13 + 6
y < -7.
a number added to 3 is equal to negative 5, find the number
Answer:
-8
Step-by-step explanation:
An equation at represents this situation is:
-5 = 3 + x
Find x by;
-5 - 3 = -8
So x is -8:
-5 = 3 + -8 (TRUE)
Hope this helps
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Sum of the two numbers = [tex]-5[/tex]
One of the number = [tex]3[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The other number.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
The other number is [tex]\sf\blue{-8}[/tex].
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let the other number be [tex]x[/tex].
As per the question, we have
[tex]Sum \: \: of \: \: the \: \: two \: \: numbers = -5 [/tex]
[tex]➺ \: 3 + x = - 5[/tex]
[tex]➺ \: x = - 5 - 3[/tex]
[tex]➺ \: x = - 8[/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-8.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex] ➪ \: 3 + ( - 8) = - 5[/tex]
[tex] ➪ \: 3 - 8 = - 5[/tex]
[tex] ➪ \: - 5 = - 5[/tex]
➪ L. H. S. = R. H. S.
[tex]\sf\orange{Hence\:verified.}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]
pleaseeeee solve thissss pleaseeee
Answer:
a.) 15 feet
b.) 3.25 seconds
c.) 17.1125 feet
d.) 12.5 seconds
Step-by-step explanation:
a
This is just asking for the y intercept
to get this just do h(0)= 15
b
This is asking for the x value of the vertex
solve that through -b/2a
-1.3/(2*-.2)= 3.25
c
This is asking for the y value of the vertex
to solve this plug in the x value from b
-.2*3.25²+1.3*3.25+15= 17.1125
d
This is asking for an x intercept
using the quadratic formula...
[tex]\frac{-b(+-)\sqrt{b^2-4*a*c}}{2a}=\frac{-1.3(+-)\sqrt{1.3^2-4*-.2*15}}{2*-.2}= -6, 12.5[/tex]
*note the (+-) before the radical is ± *
logic will tell us that a negative x intercept doesn't make any sense so we only take the positive value, 12.5
Your job in a company is to fill quart sized bottles of oil from a full 50-gallon oil drum
Step-by-step explanation:
....
I Dont Known........
Answer:
16 full cases
Step-by-step explanation:
4 quarts to a gallon
50 gallons is 200 quarts (50 x 4)
200 quarts / 12 quarts per case = 16.66667 (.66667 isn't a full case)
so, it's 16
There are 400 animals that live at a zoo. You find that 22 of 65 randomly chosen animals are
monkeys. About how many animals in the entire zoo are likely to be monkeys?
Answer:
About 135.
Step-by-step explanation:
As the sample is random the number of monkeys likely to be in the zoo
= (22/65) * 400
= 135.38
20 men can do a piece of work in 24 days. After working for few days, 3 men are added and the work was finished 3 days earlier. After how many days if 4 men are added?
Answer: 17 and a half
Step-by-step explanation:
M D W
20 24 480
20 21 420
24 17 and a half 420
= 17 and a half
