Answer:
The selling price is $3,125
Step-by-step explanation:
25% of 2500 is 2500 x 0.25 = 625
You will be adding the 25% gain to cost price to find the new price
2500 + 625 = 3125
Answer:
3125
Step-by-step explanation:
from the question,
25% simply means 25/100= 0.25
25% of 2500= 0.25×2500= 625
gain= 625
selling price= 625+2500= 3125
whats the mean and median of 13, 1, 17, 6, 2, 111, 3?
Answer:
111
Step-by-step explanation:
The sum of a number and its square is 6. Find the number
Answer: The sum of a number and its square is 6. Find the number
Step-by-step explanation:
n + n^2 = 6 n^2 + n - 6 = 0 factoring ___ (n + 3)(n - 2) = 0 n + 3 = 0 ___ n = -3 n - 2 = 0 ___ n = 2 two solutions
Answer:
n = -3, 2
Step-by-step explanation:
We're given:
The sum of a number and its square is 6Let the number be n.
The sum of a number and its square is 6⇒ [tex]n+n^2=6[/tex]
[tex]n+n^2=6[/tex]
⇒ Move everything to one side of the equation:
[tex]n+n^2-6=0[/tex]
⇒ Organize in [tex]ax^2+bx+c=0[/tex] form:
[tex]n^2+n-6=0[/tex]
⇒ Factor:
[tex]n^2-2n+3n-6=0\\n(n-2)+3(n-2)=0\\(n+3)(n-2)=0[/tex]
⇒ Use the zero-product property to find n:
[tex]n+3=0\\n=-3[/tex] or [tex]n-2=0\\n=2[/tex]
(50 + brainiest if correct!)
From each square we can construct a second square, whose area is double that of the first square.
Construct from the square abcd below a second square, whose area is double the area of the square abcd.
Answer:
So the first thought would be to make the length and width twice the size of the original square but this would actually cause us to multiply the area by 4.
The second thought was to raise one of the sides to be twice the length or width and that would give us the correct answer since we are just multiplying it by 2. If side AB is the only one that can move then we would just extend that side twice the original length.
Read each item carerur 1. What is the rule of the sequence: 7, 13, 19, 25, 31? A. Add 6 B. Subtract 6 C. Multiply by 2 D. Multiply by 3
Answer:
A.
Step-by-step explanation:
it’s add 6 because, 6 + 7 = 13 and 13 + 6 = 19 and it keeps on continuing this is how I know I am correct.
Answer:
the answer is A) Add 6
Step-by-step explanation:
you add so 7 plus 6 is 13 and 13 plus 6 is 19 and so it continues
hope this helps!!
Is (-3, 1) a solution to this system of inequalities?
5x + 5y ≤ -19
10x 16y < 1
yes or no
Answer:
No
Step-by-step explanation:
5(-3)= -15
5(1)= 5
-15+5=-10
-10 is greater than -19 not less than or equal too.
Hope this helps!
25x^4-8y^4 is not the difference of two squares. Identify the correct explanation for this statement.
Answer:
8y4 is not a perfect square.
Step-by-step explanation:
Knowing that; A difference of two perfect squares, A2 - B2 can also be factored into (A+B) • (A-B)
Verification;
(A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Notes;
AB = BA is the commutative property of multiplication.
AB + AB equals zero and is therefore eliminated from the expression.
Answer:
25 is the square of 5
8 is not a square
To multiply 64 • 8.32, use the logarithmic equation:
1) log 72.32
2) log 64 + log 8.32
3) antilog 64 + antilog 8.32
4) (log 64)(log 8.32)
To multiply 64 • 8.32, use the logarithmic equation (2) log 64 + log 8.32
How to determine the equivalent equation?The product is given as:
64 * 8.32
As a general rule, the product of a and b can be calculated using:
a * b = antilog(log(a) +log(b))
This means that:
64 * 8.32 = antilog(log(64) +log(8.32))
Hence, we make use of the logarithmic equation (2) log 64 + log 8.32
Read more about logarithmic equation at:
https://brainly.com/question/13473114
#SPJ1
(53 +9r²s) (12rs²-g³) + (-7r²s +7rs²)
Answer:
(negatively proximity is (31 + 1r¼)car bite
Step-by-step explanation:
Hope it helps
Given a triangle ABC at points A=(-4,-3) B=(4, 5) C=(2,-4), and if the triangle is
dilated with a scale factor of 3, centered at the origin, find the new point C'.
Answer: (6,-12)
Step-by-step explanation:
For dilations centered at the origin, we can multiply each of the coordinates by the scale factor. This means that [tex]C'=(2 \times 3, -4 \times 3)=\boxed{(6, -12)}[/tex]
6. What is the probability that a student prefers comedy, given that the student is in 10th grade? (2 points)
7. What is the probability that a student prefers comedy, given that the student is in 12th grade? (2 points)
8. What is the probability that a student does not prefer action, given that the student is in 9th grade? (2 points)
Answer:
6. 1/8
7. 1/16
8. 3/16
Step-by-step explanation:
Question 6
P (comedy, 10th grade) = No. of 10th graders preferring comedy/TotalP (comedy, 10th grade) = 2/16P (comedy, 10th grade) = 1/8Question 7
P (comedy, 12th grade) = No. of 12th graders preferring comedy/TotalP (comedy, 12th grade) = 1/16Question 8
P (not action, 9th grade) = No. of 10th graders not preferring action/TotalP (not action, 9th grade) = 4 - 1 / 16P (not action, 9th grade) = 3/16When the sun's angle of elevation is 76°, a tree casts an 18-foot shadow on the ground. Find the length of the tree to the nearest tenth of a foot.
Answer:
56.5 ft
Step-by-step explanation:
See the attached figure which represents the explanation of the problem.
We need to find the length of the tree to which is the length of AD
From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft
At ΔABD:
∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°
∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°
Apply the sine rule at ΔABD
∴[tex]\frac{AB}{SinD} =\frac{AD}{sinB}[/tex]
∴ 18/sin 18 = AD/sin 76
∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)
So, The length of the tree = 56.5 ft.
The answer is 56.5 ft
Carter has to read a 295 page book for ELA class. He can read 5 pages in 15 minutes. He plans to read for 14 hour over the next week. Will he finish the book? Justify your answer.
By taking the product between the rate and the time, we will see that he does not finish the book.
Will he finish the book?We know that he can read 5 pages in 15 minutes. Then in one hour he can read 4 times that: 4*5 pages = 20 pages.
We conclude that Carter reads 20 pages per day, then, if he reads for 14 hours, then he reads a total of:
20*14 = 280
So he will read 280 pages in these 14 hours, which means that he will not finish the book.
If you want to learn more about products:
https://brainly.com/question/10873737
#SPJ1
When the temperature in London is 5 degrees celsius, the temperature in New York is - 7 degrees C. If the temperature in London falls by 6 degrees, what is the new lower temperature.
Answer:
the temperature in London would be -1 degrees as 5-6=-1
please help me quick!
Answer:
transition 1 would be 5 to the right
transition 2 would be 1 down
Step-by-step explanation:
a ball has a diameter of 4 inches what is the volume
Answer:
268.08 cubic inches
Step-by-step explanation:
I'm sorry if this isn't helpful
Calculate the diameter of the
circle.
- - -- - - - - - - - - - - - - - - - - - - - --
[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
[refer to attachment for question]
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Remember, the radius is exactly one-half of the diameter, so if we need to find the diameter, we multiply the radius times 2:-
r=6.5m
d=13m
r=9.1 ft
d=18.2 ft
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - -
A packet of biscuits is shared between two people so that
one person gets three times as many as the other. Write
down the ratio involved. If there are 20 biscuits in the
packet, how many does each person get?
Answer:
Ratio 3 : 1
First person 5 biscuits
Second person 15 biscuits
Step-by-step explanation:
“one person gets three times as many as the other” means “the ratio is 3 to 1 or just 3 : 1”
………………………
Let x be the number of biscuits that the first person got then the second person should get 3x biscuits.
It’s clear that we have to solve this equation:
x + 3x = 20
Solving:
x + 3x = 20
⇔ 4x = 20
⇔ x = 20/4 = 5
Final answer:
First person: 5 biscuits
Second person: 3×5 = 15 biscuits
Samantha evaluates the expression -5.3 + 7.9 and gets an answer of 2.4.
Is this a reasonable answer?
A. Since - 5.3 rounds to -5 and 7.9 rounds to 7, the sum rounds to 2. Her answer of 2.4 rounds to 2. So, it is reasonable.
B. Since -5.3 rounds to -6 and 7.9 rounds to 7, the sum rounds to 1. Her answer of 2.4 rounds to 2. So, it is reasonable.
C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 2. So, it is not
reasonable.
D. Since -5.3 rounds to -5 and 7.9 rounds to 8, the sum rounds to 3. Her answer of 2.4 is not equal to 3. So, it is not
reasonable.
Answer:
D.
Step-by-step explanation:
-5.3 rounds up to -5
7.9 rounds up to 8
the sum of the two rounded is 3
her answer of 2.4 rounds to 2, not 3
so her answer is not reasonable
Find the mean and standard deviation for the data set
{6, 8, 7, 5, 10, 6, 9, 8, 4}
Please SHOW steps for everything
Answer:
See below
Step-by-step explanation:
The mean is simply adding up each data value and dividing your result by the number of data values:
[tex]\text{Mean}=\frac{6+8+7+5+10+6+9+8+4}{9}=\frac{63}{9}=7[/tex]
The standard deviation is calculated through finding the sum of the squared differences between the mean and each data point, and dividing that result by the number of data values, which we then take the square root of:
[tex]\text{Standard Deviation}=\sqrt{\frac{(6-7)^2+(8-7)^2+(7-7)^3+(5-7)^2+(10-7)^2+(6-7)^2+(9-7)^2+(8-7)^2+(4-7)^2}{9}}=\sqrt{\frac{10}{3}}\approx1.8257[/tex]
What this value means is that each data point is spread about 1.8257 apart from the mean. Standard deviation describes how dispersed the data is in relation to the mean.
how can i solve this
Answer:
option c
Step-by-step explanation:
the first number of a exponential function is the y intercept when x = 0,
so we now the number will be 5 leaving only answers c or d
the easiest way see which one is correct is by inputting the numbers for x to find y so...
c) 5 x 2^1 = 5 x 2 = 10 so x = 1 than y = 10
d) 5 x 1/2^1 = 5 x 1/2 = 2.5 so x = 1 than y = 2.5
the table states that y = 10 when x = 1 making c correct
AND WELCOME TO BRAINLY!
PLS HELP ASAP
Solve the following system of equations.
x + y = 3
2x + 2y = 6
A) (1.5, 1.5)
B) (0, 3)
C) infinite number of solutions
D) no solution
Answer:
C.
Step-by-step explanation:
x + y = 3
2x + 2y = 6
Multiply the first equation by 2:
2x + 2y = 6
This is the same equation as the second one.
So there are an infinite number of solutions.
Please solve (15 points)
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.
Find the revenue function R when x energy drinks are sold.
1. Kayla and Heidi each buy a tiger. Kayla pays for her tiger using a $10 bill and two $1 bills. Heidi pays for her tiger using a $20 bill and a quarter. How much change does each girl receive? a tiger costs 11.23$
Answer:
Kayla gets $0.77 back, Heidi gets $9.02 back
Step-by-step explanation:
12 - 11.23 = 0.77 (how I got 12 is the $10 dollar bill and TWO $1 dollar bills)
20.25 - 11.23 = 9.02 (how I got 20.25 is the $20 dollar bill and the quarter which is worth $0.25)
Need help asapppp plssss helppp meeee thanksss
Answer:
0.0000000673
Step-by-step explanation:
7.4*10^-8=0.000000074
6.7*10^-9=0.0000000067
0.000000074-0.0000000067
=0.0000000673=673*10^-10
Answer:
6.73 × [tex]10^{-8}[/tex]
Step-by-step explanation:
7.4 × [tex]10^{-8}[/tex]
6.7 × [tex]10^{-9}[/tex] = 0.67 × [tex]10^{-8}[/tex]
7.4 × [tex]10^{-8}[/tex] - 0.67 × [tex]10^{-8}[/tex] = ( 7.4 - 0.67 ) × [tex]10^{-8}[/tex] = 6.73 × [tex]10^{-8}[/tex]
What is the sum of all prime numbers less than 78?
Answer:
712
Step-by-step explanation:
2 + 3 = 5 + 5 = 10 + 7 = 17 + 11 = 28 + 13 = 41 + 17 = 58 + 19 = 77 + 23 = 100 + 29 = 129 + 31 = 160 + 37 = 197 + 41 = 238 + 43 = 281 + 47 = 328 + 53 = 381 + 59 = 450 + 61 = 511 + 67 = 578 + 71 = 649 + 73 = 712
Need help fast thanks and god bless
Answer:
275.
Step-by-step explanation:
The gradient of the graph is 70/2 = 35 and it passes through the origin so we can write its equation as
y = 35x.
The gradient of the function represented by the the table is
(240-180) / (4-3) = 60
Ehen x = 3 y = 180 so when x = 0 y = 180 - 60 - 60 - 60 = 0 and the equation of this function is
y = 60x.
For the first equation when x = 11, y = 35*11 = 385.
For the second it is 60 * 11 = 660
So our answer is 660 - 385
= 275
4. Use the formula to evaluate the series 3 + 6 + 12 + 24 +48 +96. Sn a₁(1 - r^) 1-r
Answer:
[tex]S_6=189[/tex]
Step-by-step explanation:
This is a geometric series with [tex]a_1=3[/tex] and common ratio [tex]r=2[/tex]. Using the formula [tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}[/tex] to find the sum of the first [tex]n=6[/tex] terms, we have:
[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_6=\frac{3(1-2^6)}{1-2}\\\\S_6=\frac{3(1-64)}{-1}\\\\S_6=\frac{3(-63)}{-1}\\\\S_6=\frac{-189}{-1}\\\\S_6=189[/tex]
So, the given series works out to be [tex]S_6=189[/tex].
A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the following is closest to the percent of values between -4.0 and 2.0?
please help will give brainlist!!!
A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.
What is the empirical rule?According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]
A normally distributed data set has a mean of 0 and a standard deviation of 2.
[tex]Z=(x-\mu)/\sigma[/tex]
[tex]P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1[/tex]
[tex]P(-0.4 < x < 2)=p(-0.2 < z < 1)=p(-0.2 < z < 0)+p(0 < z < 1)[/tex]……….(by symmetry)
=.49865+.3413
.83995…….(by (http://83995…….by) table value)
=.8400 × 100
=84%
Learn more about the empirical rule here:
brainly.com/question/13676793
#SPJ2
You’ll earn points just answer.. I know the answer already I’m just giving points
Answer:
10 inches
Step-by-step explanation:
2+2.25+2.25+2.25+2.5+2.75+2.75+3.25=10!!!!!!!!!
Answer:
thank youuu
Step-by-step explanation: