Answer:
1/3
Step-by-step explanation:
6 cups Sugar = 6 S
18 cups Flour = 18 F
6/6 = 1 S
18/ 6 = 3 F
original ratio 6S : 18 F
New ratio after reducing 1 S : 3 F
Hope this helps
I WILL GIVE BRAINLIEST - There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?
Answer:
You can choose one senator in 2 ways from the first of the 3 states; in 2 independent ways from the second of the 3 states; and in 2 independent ways from the third of the 3 states.
Step-by-step explanation:
So the answer to that question is 2*2*2*19600 which = 156800 ways.
see if you can state a rule for multiplying two powers
Answer:
there are no rules
Find (f•f)(0)
F(x) = 3x - 2
Answer:
The answer is option C
- 8Step-by-step explanation:
To find ( f•f)(0) first find (f•f)(x)
F(x) = 3x - 2
(f•f)(x) = 3( 3x - 2) - 2
= 9x - 6 - 2
= 9x - 8
( f•f)(0) = 9(0) - 8
= 0 - 8
= - 8
Hope this helps you
Find the number of 4-digit numbers that contain at least three even digits.
Answer:
4625 numbers
Step-by-step explanation:
To solve this problem we can separate it in different cases, and then we sum the amount of numbers of each case to find our final result.
The first case is: all four numbers are even.
We have 5 even digits, and the first digit of the 4-digit number can't be zero, so for the first digit we have 4 possible values, and for the other 3 digits we have 5 possible values, then the amount of numbers with this condition is:
[tex]N_1 = 4 * 5 * 5 * 5 = 500\ numbers[/tex]
The second case is the number having three even digits and one odd digit, and the first digit is the odd digit.
In this case, the first digit has 9 possible values (all digits but zero) and the other 3 digits have 5 possible values (even digits):
[tex]N_2 = 9 * 5 * 5 * 5 = 1125\ numbers[/tex]
The third case is the number having three even digits and one odd digit, and the first digit is not the odd digit.
In this case, the first digit has 4 possible values, the odd digit has 10 possible values and the other two digits have 5 possible values. The odd digit can be the second, the third or the fourth digit, so we multiply our result by 3 (because we will find the same result if we choose the odd digit to be the second, third or fourth):
[tex]N_3 = 3 * 4 * 10 * 5 * 5 = 3000\ numbers[/tex]
So the final result is the sum of these cases:
[tex]N = N_1 + N_2 + N_3[/tex]
[tex]N = 500 + 1125 + 3000 = 4625\ numbers[/tex]
Aram's four children are now 1, 5, 7, and 9 years old. In how many years will the sum of the ages of two of his children be twice the sum of the ages of the other two children?
Answer:
In 2 years
Step-by-step explanation:
age right now 1,5,7,9
Let the number of years in which the sum of the ages of two of his children be twice the sum of the ages of the other two children=x
Therefore Age of the children after x years will be 1+x,5+x,7+x and 9+x
2[1+x + 5+x] = (7+x)+(9+x)
2[6+2x]= 7+9+x+x
12+4x=16+2x
4x-2x=16-12
2x=4
x=4/2=2
Let's verify if the answer is correct
-- Verify by substituting the value of x in this 2[1+x + 5+x] = (7+x)+(9+x)
2[1+2 + 5+2] = (7+2)+(9+2)
2[10]=9+11
20=20
Therefore 2 years is the answer
We are required to find the number of years when the ages of two of his children be twice the sum of the ages of the other two children?
The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years
Child 1 = 1 year
Child 2 = 5 years
Child 3 = 7 years
Child 4 = 9 years
let
x = number of years it will take for two of his children be twice the sum of the ages of the other two children
twice the age of the two younger children in the unknown year equal the age of the two older children in the unknown year
2{(1 + x) + (5 + x)} = (7 + x) + (9 + x)
2(1 + x + 5 + x) = 7 + x + 9 + x
2(6 + 2x) = 16 + 2x
12 + 4x = 16 + 2x
12 - 16 = 2x - 4x
-4 = - 2x
divide both sides by -2
-4 / -2 = x
x = 2
Therefore,
The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years
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what is 27/9?????????? help :) plz
Answer:
it is 3
Step-by-step explanation:
Answer:
3 yessirrr
Step-by-step explanation:
Suppose that alpha is inversely proportional to beta. If alpha = -6 when beta = 12, find alpha when beta = -2.
Answer:
36
Step-by-step explanation:
Equation for an inversely proportional relation, where y is inversely proportional to x:
[tex] y = \dfrac{k}{x} [/tex]
Here we have:
[tex] \alpha = \dfrac{k}{\beta} [/tex]
We use the known ordered pair to find k.
[tex] -6 = \dfrac{k}{12} [/tex]
[tex] k = -72 [/tex]
The relation is:
[tex] \alpha = \dfrac{-72}{\beta} [/tex]
For beta = -2,
[tex] \alpha = \dfrac{-72}{-2} [/tex]
[tex] \alpha = 36 [/tex]
BRAINLIEST!! THANKS! How many numbers less than 1000 are there that use only the digits of 2088?
Answer:
The answer is 17
Step by Step explanation:
The one-digit numbers are: 2, 0 and 8
The two-digits number are: 20, 28, 80, 82 and 88
The three-digits number are: 208, 280, 288, 808, 880, 802, 882, 828 and 820
So if you add all the numbers up, it is 17 since the one-digit numbers contain totally 3 numbers, the two-digit numbers contain 5 numbers and the three-digit numbers contain 9 numbers.
Help me with this question
Answer:
2y=7 or y+y=7
Step-by-step explanation:
the equation that this diagram represents
y+y=7
or it can be
2y=7
i hope this will help you :)
Help me plz....Thanks
Answer:
it is about 34 days
Step-by-step explanation:
divide the weight by the age for each kitten, you have a number called H
for example: kitten 1 has H1 = 600/50=12, kitten has H2 =340/28=85/7,kitten 3 has H3= 480/42= 80/7,...
find the arithmetic mean K of those number
K = (H1+H2+...+H8)/8 ≈ 13,44
so the age of the abandoned kitten is 460/13,44 ≈ 34,2 days
SOMEONE PLEASEEEEE HELLPPP !! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?
Answer:
a. 412
b. 478
Step-by-step explanation:
We have to find the corresponding probabilities using the standard normal table, that is, we must calculate the value of z, the formula of z is as follows:
z = (x - m) / sd
where x is the value to evaluate, m is the mean and sd is the standard deviation.
We are told that the mean is 8.2 cm and the standard deviation is equal to 2.8 cm.
a. smaller than 5.9cm?
In this case x would be 5.9, we replace and we are left with:
z = (x - m) / sd
z = (5.9 - 8.2) /2.8
z = -0.82
If we look for this value in the normal table (attached) it corresponds to 0.2061, to know the number of apples we must multiply this value by the total value of apples, that is 2000. Therefore:
2000 * 0.2061 = 412.2 = 412
b) larger than 10.2cm?
In this case x would be 10.2, we replace and we are left with:
z = (x - m) / sd
z = (10.2 - 8.2) /2.8
z = 0.71
In this case z corresponds to 0.7611, but since this is the value is smaller than 10.2, and we need is larger than 10.2cm, it would be the complement, that is:
1 - 0.7611 = 0.2389
Now to calculate the total number of apples we have:
2000 * 0.2389 = 477.8 = 478
k=5r-11s solve for r
Answer:
[tex]r=\frac{k+11s}{5}[/tex]
Step-by-step explanation:
[tex]k=5r-11s[/tex]
Add 11s on both sides.
[tex]k+11s=5r-11s+11s[/tex]
[tex]k+11s=5r[/tex]
Divide both sides by 5.
[tex]\frac{k+11s}{5} =\frac{5r}{5}[/tex]
[tex]\frac{k+11s}{5} =r[/tex]
Answer:
11s + k
r = ------------
5
Step-by-step explanation:
k=5r-11s needs to be manipulated so that the 5r term is isolated / alone.
Adding 11s to both sides, we get:
5r = 11s + k
and then dividing all three terms by 5 yields:
11s + k
r = ------------
5
On a trip to California, Hayley mined 30 ounces of gold. Kara mined 6 ounces of gold. Who found more gold and by approximately how much?
Answer:
Hayley found more gold by 24 ounces.
Step-by-step explanation:
Answer:24 resoruces
Step-by-step explanation:
Hi
BRAINLIEST TO FIRST ANSWER PLEASEEE HELPPP!!! The dance team has 9 dancers to perform different roles in each performance. The probability that the team selects the same order as last performance is 1 divided by 362880 . Explain where each the numerator and denominator come from. What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position? Assume these are not the same people. Create a question, related to the dancers, where you use the indirect method, n(A’), to solve.
Answer:
P = 1 /362880
Where the numerator is the event of selecting the same order as last performance that is 1.
The denominator is the total number of possible events of selecting the 9 dancers.
p = 1/72
Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
Step-by-step explanation:
The probability that the team selects the same order as last performance is 1 divided by 362880
Explain where each the numerator and denominator come from
The probability that the team selects the same order as last performance is
P = 1 /362880
Where the numerator is the event of selecting the same order as last performance that is 1.
The denominator is the total number of possible events of selecting the 9 dancers.
Total number of dancers = 9
The 1st dancer can be selected in 9 ways
The 2nd dancer can be selected in 8 ways
The 3rd dancer can be selected in 7 ways
The 4th dancer can be selected in 6 ways
The 5th dancer can be selected in 5 ways
The 6th dancer can be selected in 4 ways
The 7th dancer can be selected in 3 ways
The 8th dancer can be selected in 2 ways
The 9th dancer can be selected in 1 ways
So the total number of ways = 9×8×7×6×5×4×3×2×1 = 362880
What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position?
Lets us put the top hip hop dancer in the third position and top break dancer in the first position then the remaining 7 dancers can be selected in
7×6×5×4×3×2×1 = 5040 ways
So the required probability is,
P = 5040/362880
P = 1/72
P = 0.0139
Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
What’s the equation for Property of Zero: 0 divided by 33 =
Answer:
0 / 33 will be 0. Although if it were 33 / 0 then you will get UNDEFINED.
Step-by-step explanation:
You cannot divide anything by zero. This is called the property of zero.
Although, if you divide a number by zero, lets say 33/0, you will get UNDEFINED. You get undefined because zero does not act like a normal number. It is neither positive nor negative.
There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. How many of these sets contain any 5 numbers?
Answer:
252 sets
Step-by-step explanation:
The set given to us is:
{0,1,2,3,4,5,6,7,8,9}
Total number of elements in set = n = 10
Number of elements to be included in seach set = r = 5
As the order doesn't matter, we can use the combination formula to find number of different combinations if we choose 5 numbers from the given 10 numbers with no repetition:
C(10,5) = 10!/(5!)(10-5)!
C(10,5) = 10!/(5!)(5!)
C(10,5) = 10·9·8·7·6/ 5·4·3·2·1
C(10,5) = 252
Thus 252 sets can be formed which contains any of the 5 numbers from the sets
Need help finding the missing length to the attached triangle.
Answer:
x = 60
Step-by-step explanation:
All 3 right triangles are similar, thus ratios of corresponding sides are equal.
[tex]\frac{x}{144}[/tex] = [tex]\frac{25}{x}[/tex] ( cross- multiply )
x² = 3600 ( take the square root of both sides )
x = [tex]\sqrt{3600}[/tex] = 60
In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?
Answer:
y will be in every single quadrant
Step-by-step explanation:
So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex] first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way
another algebra problem i cant solve
Answer:
where is the problem?
Step-by-step explanation:
The points plotted below are on the graph of a polynomial. Which of the following x-values best approximate roots of the polynomial? Check all that apply! I will mark as brainliest:D
Answer:
(3/2, 0+), (-1, 0+)
Step-by-step explanation:
An exact "zero" of a polynomial is characterized by a point on the x-axis. In this case the best approximation to that is the point (3/2, 0+); the next best approximation is (-1, 0+). Note that neither of these two points actually lies on the x-axis, but that both are closer to the x-axis than are any of the other given points.
The x-values which best approximate roots of the polynomial are x=1.1 and x=4.1
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.
We can see in the graph that there are three points where the value of polynomial becomes 0.
The roots of a polynomial occur where the graph crosses the x-axis
x=1.1
x=4.1
Hence, the x-values which best approximate roots of the polynomial are x=1.1 and x=4.1
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What are the domain and range of f(x) = 4x – 8? A. domain: {x | x is a real number}; range: {y | y > –8} B. domain: {x | x is a real number}; range: {y | y > 8} C. domain: {x | x > 4}; range: {y | y > –8} D. domain: {x | x > –4}; range: {y | y > 8}
Answer: Non of the options is correct.
Step-by-step explanation:
Domain of a function are the minimum and maximum values of independent variable (x).
You are given the function:
f(x) = 4x – 8
The domain can be any real numbers.
Range is the minimum to maximum value of dependent variable ( y )
From the given equation:
f(x) = 4x – 8
If the value of domain are substituted, the range will also be any real numbers.
Non of the answers is correct because both the domain and the range are all real numbers.
But the best option among the given option is option A:
domain: {x | x is a real number}; range: {y | y > –8}
Answer:
A on edg
Step-by-step explanation:
a tree of 11 feet tall. A wire runs from the top of the tree to a point 5 feet from its base. The wire is square root of 146 feet long. estimate the length of the wire to the nearest hundredth of a foot?
Answer:
around 12.08 feet long
Step-by-step explanation:
Hope this help!
Algebra help needed
Answer: I had the same one
Step-by-step explanation: I DON'T GET IT EITHER
If w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w^2 - v + 1? -2^2 - (-8) + 1 -2^2 - 8 + 1 (-2)^2 - (8) + 1 (-2)^2 - (-8) + 1 Please help!!! <3
Answer:
(-2)^2-(-8)+1
Step-by-step explanation:
w^2-v+1
(-2)^2-(-8)+1
Hello there! :)
Answer:
The last option.
Step-by-step explanation:
If w = -2 and v = -8:
Substituting these into the equation w² - v + 1 would look like:
(-2)² - (-8) + 1
When finding the square of a negative number, parenthesis must be used because:
-2² = -4, whereas (-2) = 4.
When subtracting a negative number, parenthesis also need to be used:
-(-8) = +8.
The corresponding equation that is equivalent to this is the final equation listed, or the fourth option.
Calculus.
Only need answer yo question number 30,14,10 pleassse
Answer:
See below in bold.
Step-by-step explanation:
14. f(x) = x^6 e^x
Applying the Product Rule:
f'(x) = x^6 e^x + 6x^5 e^x
= e^x(x^6 + 6x^5).
10. f(x) = x^3 - 4
y = x^3 - 4
x^3 = y + 4
x = ∛(y + 4) so:
f-1(x) = ∛(x + 4). (you are correct.)
30. 3 sinh 2
= 3(e^4 - 1) / 2 e^2
= 10.88058
= 10.881.
Graph the system of equations on graph paper to answer the question. Y=2/5x+4 and y=2x+12 what is the solution for this system of equations?
Answer:
Solution of the given equations is (-5,2)
Step-by-step explanation:
We have been given the following system of equations:
y = (2/5)x + 4
y = 2x + 12
The solution of the system of equation can be found by finding the point of intersection of both lines on the graph. The graph of both equations is attached below.
As we can see that both the lines intersect each other at one point, and that point is (-5,2). So the solution of the given equations is (-5,2)
Answer:
-5, 2
Step-by-step explanation:
The student body of 205 wants to elect a president, vice president, and a secretary. Is an example of permutation or combination.
Answer:
Combination
Step-by-step explanation:
Permutation is likely used more for lists/ordered things.
Combination is used more for groups.
Since we are trying to elect a group of people (president, vice president, and secretary) out of 205 students, we use combination.
If BD is the angle bisector of ∠ABC, then "∠ABC ≅ ∠ABD + ∠DBC" represents which of the following? Question 12 options: A) Angle addition postulate B) Symmetric property of congruence C) Transitive property of congruence D) Addition property of equality
Answer:
∠ABC ≅ ∠ABD + ∠DBC
Step-by-step explanation:
The angle addition postulate is applied a larger angle is divided into two smaller angles that share the same vertices, the measure of the larger angle is the sum of the two smaller angles. That is the resulting angle formed by two angles which are side by side is the sum of the two angles. In triangle ABC, if ∠ABC is divided by line BD then ∠ABC is divided into ∠ABD and ∠DBC. Therefore:
∠ABC ≅ ∠ABD + ∠DBC
Answer:
Angle addition postulate
Step-by-step explanation:
A line passes through the point (4, –2) and has a slope of One-half.
A coordinate plane.
What is the value of a if the point (–4, a) is also on the line?
–6
–5
5
6
Answer:
a = -6
Step-by-step explanation:
The given line in point-slope form is y + 2 = (1/2)(x - 4).
Replacing x with -4 yields y + 2 = (1/2)(-4 - 4) = (1/2)(-8)
Then y + 2 = -4, and so y = -6, or a = - 6.
Answer:
-6
Step-by-step explanation:
Help me fill in the blanks
Answer:
Step-by-step explanation:
In ΔDEC & ΔABC
DE // AB Given
∠A = ∠E Alternate interior angles are equal, DE//AB & AE transversal
∠B = ∠D Alternate interior angles are equal, DE//AB & BD transversal
ΔABC ~ ΔDCE AAA similarity