A) One cup of white paint requires 3/7 cups of red paint.
B) The constant of proportionality is 7/3.
What is the Constant of Proportionality?The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, and even the rate of change.
Given:
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
So,
7 cups of white paint are needed for every 3 cups of red paint
One cup of white paint requires 3/7 cups of red paint.
To calculate the constant of proportionality, we find the ratio of the white and red paints which is
Cups of white paint: Cups of red paint = 1: 3/7 = 7/3
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what color is your buggati?
Answer: yellow
Step-by-step explanation:
ITS THE RIGHT ANSWER IMAOAO
Answer:
Bugatti veyron is available in 10 different colours
Step-by-step explanation:
Light blue pear,black-M,mocca brown, black blue-M ,lemon and Light red.
Suppose point P divides the directed line segment XY so that the ratio of XP to PY is 3 to 5. Describe the point that divides directed line segment YX so that the ratio of YP to PX is 5 to 3.
The point that divides the directed line segment YX so that the ratio of YP to PX is 5 to 3 is P.
According to the question,
We have the following information:
Point P divides the directed line segment XY so that the ratio of XP to PY is 3 to 5.
Now, when the line segment XY is inverted to call the line segment YX then the point P is still there.
And the point P divided the line segment in the same way but the difference is that the measurement are taken from the other side. But the point P has not been removed because it is common in YP and PX and YX (as we observe even from the name of these smaller segments) is the line segment.
Hence, P is the point dividing the line segment YX into the given ratio.
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Find the indicated value using the given functions
The correct option is b: 2 ∛(5 - 1) , is the value of the composite inverse function.
What is meant by the inverse of the function?An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function "f" takes x to y, then its inverse will take y to x. The inverse function is signified by f-1 or F-1 if the function is signified by 'f' or 'F'. Here, (-1) should not be confused with exponent or reciprocal.For the given question,
The functions as given as;
f(x) = x/3 + 1
g(x) = x³
Now, the find the composite function f o g (x).
Put the value of g(x) at the place of x in f(x).
f o g (x) = x³/8 + 1
Let the obtained composite function be y.
y = f o g (x) = x³/8 + 1
Find the value of x in terms of y.
y = x³/8 + 1
y - 1 = x³/8
8(y - 1) = x³
taking cube root.
x = 2 ∛(y - 1)
Now, substitute the value of x in place of y.
(f o g )⁻¹(x) = 2 ∛(x - 1)
Now, put the value of x as 5.
(f o g )⁻¹(x) = 2 ∛(x - 1)
(f o g )⁻¹(5) = 2 ∛(5 - 1)
Thus, the value of the composite inverse function is obtained as 2 ∛(5 - 1).
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Write each fraction in its
simplest form.
24/32
18/4
Answer:
Change Mixed fraction to improper fraction 2/9
Answer:
3/4
1 1/2
Step-by-step explanation:
24/32 are factors of 8. If you decided both by 8 it would be 3/4.
18/4 18 is a factor of 4. divide 18 by 4 and you get 6/4. Simplify that to a mixed fraction and you get 1 1/2.
I have multiple questions!!
1) 3+x= -1/3
2) x+5 =-4/7
3) x/4 = -8
4) -4x =-5/6
THANKSS!!
Answer:
1: x = − 10/3
2: x = − 39/7
3: x = −32
4: x = 5/24
What is the equivalent exponential expression for the radical expression below? 5 A. 52 B. 5 C. 51/2 D. 2.5
Answer:B) 5
Step-by-step explanation:
`suppose it took jacques 85 days to read the novel he read the same number of pagers per day
The number of pages that Jacques read per day is 7 pages.
How to calculate the number of days?From the information, Jacques has 595 pages of book to read and it took him 85 days to read the novel.
The number of pages will be the entire pages divided by the number of days used. This will be:
= Number of pages / Number of days
= 595 / 85
= 7
Therefore, Jacques read 7 pages per day.
The complete question is given below.
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Jacques has 595 pages of book to read. Suppose it took Jacques 85 days to read the novel, how many number of pages did he read per day.?
a rectangle is h units wide it length is 3 units more than the width
Answer:
I think that you have to find the length and width of the rectangular
Help please it's going to be due soon):
Answer:
(2,1)
Step-by-step explanation:
Its the only pair that when plugged in would give you 13
3(2) + 7(1) =13
6 + 7 = 13
which rule yields the dilation of the figure cdef centred at the origin
The rule that yields the dilation of the figure CDEF centered at the origin is- (x, y) ⇒ (4x, 4y)
Here, we are given 2 quadrilaterals CDEF and C'D'E'F' as shown in the figure below.
We can see that the vertices of CDEF are-
C(-2, -1), D(-2, 0), E(2, 2), and F(2, 1)
Similarly, the vertices of C'D'E'F' are-
C'(-8, -4), D'(-8, 0), E'(8, 8), and F'(8, 4)
Now, let us compare the coordinates of the two quadrilaterals.
C'(-8,-4) and C(-2,-1)
here, we can observe that -8/-2 = -4/-1 = 4
Similarly, for E'(8,8) and E(2,2)-
8/2 = 8/2 = 4
Thus, we observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and such is the case for all of the coordinates.
Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is- (x, y) ⇒ (4x, 4y)
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Your question was incomplete. Check for the full content below-
Which rule yields the dilation of the figure CDEF centered at the origin?
A) (x, y) → (4x, 4y)
B) (x, y) → (0.25x, 0.25y)
C) (x, y) → (x + 4, y + 4)
D) (x, y) → (x + 0.25, y + 0.25)
Identify ALL solutions to the inequality. There could be more than one selection.
Answer:
Step-by-step explanation:
-3 or 0
Answer:
-3 and 0
Step-by-step explanation:
the inequality states that 11 is greater than x. That means anything less than 11 can be x
-3 is less than 11 so that can be x
0 is less than 11 so that can be it.
11 is 11 and x is not equal to 11, so that’s not the answer
16 is greater than 11 so it can’t be x
Solve the equation 5+10(x-9)<-103-(7-5x)
we have the inequality
5+10(x-9) < -103-(7-5x)
solve for x
apply distributive property left side and remove the parenthesis right side
5+10x-90 < -103-7+5x
Combine like terms
10x-85 < 5x-110
Group terms
10x-5x < -110+85
5x < -25
x< -25/5
x < -5
the solution is the interval (-inf, -5)
set builder notation
x| x < -5
Amy, ravi, and bob have a total of $127 in their wallets. bob has 4 times what ravi has. ravi has $7 less than amy. how much do they have in their wallets
Amy has $ 27, Bob has $ 80 and Ravi has $ 20 amounts in their wallets.
Finding unknown quantity using Linear Equation:
A mathematical statement used to find an unknown quantity in a given problem is known as a Linear Equation. Here to represent the unknown quantity we will use variables like x, y, and so on.
Here we have,
Amy, Ravi, and Bob have a total of $127 in their wallets.
Since we don't know the amount of each person we represent them with different variables
Let 'a' be Amy's amount
'b' be Bob's amount
'r' be Ravi's amount
Then the total amount a + b + r = 127 -----(1)
Given that,
Bob has 4 times what Ravi has
=> b = 4r ----(2)
Ravi has $7 less than Amy
=> r = a - 7 ----(3)
From (2) and (3)
b = 4(a - 7)
b = 4a - 28 ----(4)
Now substitute (3) and (4)
=> a + 4a - 28 + a - 7 = 127
=> 6a - 35 = 127
=> 6a = 162
=> a = 27
From (3)
r = a - 7 = 27 - 7 = 20
From (2)
b = 4r = 4(20) = 80
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2+2+5+6+7+8+9+0+8+9+8+7+8+9
Answer:
88
Step-by-step explanation:
you add all of them together
answer the answer is 88
Step-by-step explanation:
add two at a time then add all answers togher and u get 88
In his spare time, Kim likes to go cycling. He cycles partly on paved surfaces and partly off-road, through hilly and wooded areas. He cycles at 25km/h on paved surfaces and at 10 km/h off-road. One day, he cycled 41 km in 2 hours. How far did he cycle on the paved road and how far off-road?
Kim travelled 35 km on a paved surface and 6 km off-road which took 1.4 hours and 0.6 hours respectively
Speed of Kim when cycling on paved surfaces: 25 km/hr
Speed of Kim when cycling off-road = 10 km/hr
Distance covered by Kim = 41 km
Time is taken by Kim = 2 hours
Let x be the time Kim travels on a paved surface, and y represents the time off-road
Using the formula:
Speed = Distance/Time
Distance travelled by Kim on paved surface = 25*x
Distance travelled by Kim off-road = 10*y
x + y = 2-------(1)
25x + 10y = 41-------(2)
Multiplying equation (1) with 25 and equating with (2) we get:
25x + 25y = 50
25x + 10y = 41
15y = 9
y = 0.6 hours
x = 1.4 hours
Distance travelled on paved surface = 25*1.4 = 35 km
Distance travelled off-road = 10*0.6 = 6km
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A wedding planning business is setting up for an event. They are expecting 120 guests to participate. The manager at the reception center says that there are two options for the size of the tables. Small tables seat 2 people and large tables seat 6 people. An equation that could be used to find the combination of large and small tables needed for the event is 2x+6y=120. Here is a graph of the equation.
You may select more than one answer:
If the wedding planner chose to use small tables only, then 20 tables would be needed.
If 15 small tables are used, 15 large tables will be needed.
If 5 fewe large tables are used, 15 more small tables would be needed.
If 30 small tables are used, 5 large tables would be needed.
If no large tables are used, 60 small tables would be needed.
can someone help me here please! thankyou
Answer:
AUB = {0,1,2,3,4,6,8}
B∩C = Nil
Xc∩Yc = {February, April, August, September, November, December}
(YUZ)c= {February, March, April, May, August}
the symbol c stands for complement in the solution.
Step-by-step explanation:
union is combining all the elements of sets A and B
AUB = {0,1,2,3,4,6,8}
intersection is combining only the common elements present in both B and C
B∩C = Nil
complement of a set is the number of elements that are not present in the set.
Xc = {January, February, April, August, September, November, December}
Yc= {February, March, April, May, August, September, October, November, December}
Xc∩Yc = {February, April, August, September, November, December}
Y∪Z = {January, June, July, September, October, November, December}
(YUZ)c= {February, March, April, May, August}
the symbol c stands for complement in the solution.
Answer:
A⋃B = {0, 1, 2, 3, 4, 6, 8} B⋂C = { } . . . (the empty set) X'⋂Y' = {Feb, Apr, Aug, Sep, Nov, Dec} (Y⋃Z)' = {Feb, Mar, Apr, May, Aug}Step-by-step explanation:
Given various set definitions, you want to find the union and the intersection of specific pairs of sets.
We find it convenient to list the set contents in such a way that we can readily identify elements in one set or another, neither, or both. That is what we have done in the attachment.
1. A⋃BThe union of sets A and B will be the list of elements in either set. That is, if an element is included in set A or in set B, it is included in their union. An element is only listed once, even if it appears in both sets.
A⋃B = {0, 1, 2, 3, 4, 6, 8}
2. B⋂CThe intersection of sets B and C will be the list of elements contained in both sets. Set B is even digits, and set C is odd digits. Since there are no digits that are both even and odd, their intersection is the empty set.
B⋂C = { } . . . (the empty set)
3. X'⋂Y'The intersection of the complements of sets X and Y is the list of elements of U that are not in either set.
X'⋂Y' = {Feb, Apr, Aug, Sep, Nov, Dec}
4. (Y⋃Z)'The complement of the union of Y and Z is the list of elements of U that are not in either of sets Y or Z. This is effectively the same as Y'⋂Z'.
(Y⋃Z)' = {Feb, Mar, Apr, May, Aug}
__
Additional comment
We have elected to abbreviate the month names for problems 3 and 4. Your answer may need to spell them out completely to match the problem statement.
Please answer as soon as you can.
Answer:
x > -4
Step-by-step explanation:
Please heart!
3. What are the approximate zeros of the function f(x) = x³ - 2x²-3x+1?
(round to tenth place)
The approximate zeros of the function f(x) = x³ - 2x²-3x+1 (round to tenth place) are -1.2 and 0.3.
What are Zeros of a Function?A function's zeros are the values of its variables that result in the function equaling 0. (f(x) = 0). The zeros of a function are the points on the x-axis where the graph intersects the x-axis. To put it another way, the zeros of a function are the x-intercepts of its graph.
Given:
We have f(x) = x³ - 2x²-3x+1
To determine the real zeros of the function f(x), we have f(x) = 0.
Using a graph to find the solutions for x(round to tenth place) are,
x₁ = -1.199 ≈ -1.2
x₂ = 0.286 ≈ 0.3
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$11.49 for 3 packages
Answer:
3.83
Step-by-step explanation:
11.49 divided by 3 is 3.83
Which equation shows that the sum of x and 2 is twice as much as 6?
A. x=2×2×6
B. x+2 × 2=6x
C. 2(x+2)=62
D. x+2=2 × 6x
whoever gets it right will get brainliest
The equation for the given statement is (x + 2) = 2 × 6.
We have to find the equation of the given statement:
As the sum of x and 2 is equal to twice as much as 6.
So from the above, we have an equation
(x + 2 ) = 2 × 6
After removing the bracket part on the left side and multiplying at the right side we have:
x + 2 = 12
Now we have the value of x.
x = 10
Therefore the equation is (x + 2) = 2× 6.
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what are the two types of function used to form the rational function ?
2x - 3y +z = 7
4x + y + 2z=0
3x + 4y -z = -4
Answer:
x=1
y=-2
z=-1 ( substitute into equations)
GET 20 PONITS IF U HELP ASAP
Decide which sprinter is running faster per second:
Sprinter A: 1.4 feet in 3 seconds
Sprinter B: 2.8 feet in 5 seconds
Answer:
Sprinter B is going faster.
Step-by-step explanation:
Sprinter A is moving at a rate of 1.4 feet every 3 seconds, or about 0.47 feet every second.
Sprinter B is moving at a rate of 2.8 feet every 5 seconds, or 0.56 feet every second.
Therefore, Sprinter B is moving at a quicker pace.
Answer: The answer is Sprinter B.
Step-by-step explanation:
First I did 2.8 / 5 = .56 secs.
for the A
B I did 1.4 / 3 = .47 secs
So, B is the faster sprinter.
PLEASE HELP ASAP
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The
other clock chimes every 25 minutes. In how many minutes will they chime together?
Answer:
In 75 minutes, both clocks will chime together.
Step-by-step explanation:
All you have to do is find the least common multiple of 15 and 25.
Multiples of 15:
15 x 1 = 15
15 x 2 = 30
15 x 3 = 45
15 x 4 = 60
15 x 5 = 75
Multiples of 25:
25 x 1 = 25
25 x 2 = 50
25 x 3 = 75
25 x 4 = 100
25 x 5 = 125
If you compare the two, you’ll find that 15 and 25 have a least common multiple of 75. So, in 75 minutes both clocks will chime at the same time
Translate the following statement into a mathematical equation:Five times a number, minus three, is twelve.5(n - 3) = 125n - 3 = 125 - 3n = 125n = 12 - 3
Explanation
Step 1
let n represents the number
so,
Five times a number
[tex]5\cdot n=5n[/tex]hence
Five times a number, minus three
[tex]5n-3[/tex]"is" can written as equal (=),so
Five times a number, minus three, is twelve.
[tex]5n-3=12[/tex]I hope this helps you
Sarah earns $48 a week babysitting.
She saves all of her earnings for 6 weeks. Estimate to
determine about how much money Sarah saves.
Solve this problem using any strategy you choose.
Answer:
Sarah saves $288.
Step-by-step explanation:
$48 per week.
For 6 weeks you would do:
48 × 6 = 288.
So Sarah saves $288 over 6 weeks.
Please mark Brainliest
Answer: $288
Step-by-step explanation:
It says she earns $48 per week, and she does it for 6 weeks.
So this is just 48*6
Another way is 48/1=x/6 Where you just cross multiply
So x=48*6=288
find the minimum cost of a rectangular box of volume 170 cm3 whose top and bottom cost 8 cents per cm2 and whose sides cost 9 cents per cm2.
Therefore the minimum cost of a rectangular box of volume is x = 4.641588834 cents.
What is the volume of cuboid?A cuboid is a six-faced solid known as a hexahedron in geometry. Four-sided quadrilaterals make up its faces. A cuboid is a hexahedron, a solid with six faces, and the word "cuboid" means "like a cube" in the sense that a cuboid can become a cube by changing the length of its edges or the angle between its faces and edges. Four-sided quadrilaterals make up its faces. A cuboid can be made to look more like a cube by varying the lengths of its edges or the angles between its faces and edges. A cuboid's volume is equal to the sum of its length, breadth, and height. The opposite faces of a cuboid on a rectangular cuboid are equal, and all the angles are at right angles.
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Find three consecutive odd integers such that the sum of the smaller two is three times the largest increased by seven.
Consecutive odd numbers are odd integers that are separated by 2 and come after one another. If the number x is odd, then the numbers x + 2, x + 4, and x + 6 are also odd.
Explain about the consecutive odd integers?The next two odd consecutive integers are (2n + 3) and (2n + 5) if 2n + 1 is an odd number. For illustration, assume that 2n + 1 is the odd number 7. Its successive numbers are identified as (7 + 2) and (7 + 4), or 9 and 11.
Three consecutive odd numbers that are 3, 5, and 7 are all prime. Three successive odd numbers that are not all prime are 109, 111, and 113 (111=37 times 3).
Answer
Let x - 2, x, and x + 2 be the three odd numbers.
x - 2 + x = 3(x + 2) + 7
2x - 2 = 3x + 6 + 7
2x - 2 = 3x + 13
3x - 2x = -2 - 13
x = -15
The three successive odd numbers are 17, 15, and 13, respectively.
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Fatoumata has a points card for a movie theater. she receives 70 rewards points just for signing up. she earns 12.5 points for each visit to the movie theater. she needs at least 165 points for a free movie ticket. what is the least number of visits she needs to make in order to earn a free movie ticket?