Answer:
The florist can make 11 regular bouquets and 21 mini bouquets
Step-by-step explanation:
The number of roses the florist has = 118 roses
The number of peonies the florist has = 226 peonies
The number of roses in each regular bouquet = 5 roses
The number of peonies in each regular bouquet = 11 peonies
The number of roses in each mini bouquet = 3 roses
The number of peonies in each mini bouquet = 5 peonies
1. The equation that gives the total number of roses to be used in both kinds of bouquet is given as follows;
Let r represent the number of regular bouquet the florist can make and let m represent the number of mini bouquet the florist can make, we have;
5·r + 3·m = 118...(1)
2. Similarly, we have;
11·r + 5·m = 226...(2)
Making m the subject of the formula of both equations, and equating both values of m to find a common solution, we have;
m = (118 - 5·r)/3
m = (226 - 11·r)/5
(118 - 5·r)/3 = (226 - 11·r)/5
5 × (118 - 5·r) = 3 × (226 - 11·r)
590 - 25·r = 678 - 33·r
33·r - 25·r = 678 - 590 = 88
8·r = 88
r = 88/8 = 11
r = 11
The number of regular bouquet the florist can make = r = 11
m = (118 - 5·r)/3 = (118 - 5×11)/3 = 21
m = 21
The number of mini bouquet the florist can make = m = 21
The number of regular bouquet the florist can make = 11 bouquets
The number of mini bouquet the florist can make = 21 bouquets.
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Answer:
0.149> 0.128
Step-by-step explanation:
Hope this helps!
Isabel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. What is the equation in point-slope form of the line that represents the height of the bucket relative to the top of the well?
Answer:
The equation in point-slope form of the line that represents the height of the bucket relative to the top of the well is [tex]y + 1 = 4\cdot (t-1)[/tex].
Step-by-step explanation:
The point-slope form of the equation of the line is represented by the following expression:
[tex]y - y_{o} = m\cdot (t-t_{o})[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]y[/tex] - Height below the top of the well, measured in feet.
[tex]t_{o}[/tex], [tex]y_{o}[/tex] - Known information of the well, measured in seconds and feet, respectively.
[tex]m[/tex] - Slope, measured in feet per second.
If we know that [tex](t_{o},y_{o}) = \left( 1\,s, -1\,ft\right)[/tex] and [tex]m = 4\,\frac{ft}{s}[/tex], then the equation in point-slope form of the line is:
[tex]y + 1 = 4\cdot (t-1)[/tex]
The equation in point-slope form of the line that represents the height of the bucket relative to the top of the well is [tex]y + 1 = 4\cdot (t-1)[/tex].
can u rewrite these expressions s for me plz!!
Prove the theorem: In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. Given the facts RS ⊥ CD and AB || CD, drag and drop each reason next to the appropriate statement in order to prove the statement RS ⊥ AB.
Answer:
The theorem requiring proof;
A transversal perpendicular to one of two parallel lines is also perpendicular to the other parallel line
The two column proof is as follows
Statement [tex]{}[/tex] Reason
RS ⊥ CD [tex]{}[/tex] Given
AB ║ CD [tex]{}[/tex] Given
The Slope of AB = The slope of CD [tex]{}[/tex] definition of parallel lines
The Slope of RS = -1/(The slope of CD) [tex]{}[/tex] definition of perpendicular lines
The Slope of RS = -1/(The slope of AB) [tex]{}[/tex] transitive property of equality
The Slope of RS = -1/(The slope of AB) [tex]{}[/tex] definition of perpendicular lines
RS ⊥ AB
Step-by-step explanation:
20 Points + Brainlest
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-x+5y=-7
-3x +14y=-18
Answer:
One solution:(-8,-3)
Step-by-step explanation:
x = 5y + 7
Plug this in for variable x in equation [2]
[2] -3•(5y+7) + 14y = -18
[2] - y = 3
Solve equation [2] for the variable y
[2] y = - 3
By now we know this much :
x = 5y+7
y = -3
Use the y value to solve for x
x = 5(-3)+7 = -8
Solution :
{x,y} = {-8,-3}
Hope this helps plz mark brainliest if correct :D
Kelly is using a compass and straightedge to perform the Geometric construction below.
Which of the following best describes the figure Kelly is constructing?
Answer:
The answer is A
Step-by-step explanation:
The line is perpendicular to RS through S
There are several constructions that can be done with the straightedge and the compass.
The statement that describes the figure Kelly is constructing is: (c) a line parallel to RS through Q
From the figure, we have the following observations
Two arcs intersect on line RSAnother set of two arcs intersect on the same level as point Q.When a line is drawn from point Q through the intersection of these lines, the line would be parallel to line RS.
Hence. we can conclude that:
Kelly is constructing (c) a line parallel to RS through Q
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An employee’s hourly raise went up from $11 per hour to $16 per hour. What is the rate of increase? Round to the nearest percentage.
Answer:
45%Step-by-step explanation:
Step one:
given data
intial pay= $11 per hour
final pay= $16 per hour
Required
% increase
Step two:
%increase= final-initial/initial*100
substitute
%increase= 16-11/11*100
%increase=5/11*100
%increase= 0.45*100
%increase= 45%
Hence the percent raise is 45%
please help find equation in slope intercept form
Answer:
y= -3x-2
Step-by-step explanation:
1. Take any two points from the line
• (1, -5) (-2, 4)
2. Use the equation: y2-y1 / x2-x1 to find the slope
4- (-5) / -2-1
= 9/-3
= slope is -3
3. Find the y intercept
y= -2
A telephone poll asked people whether they like playing golf. Of the 100 people polled,20 like playing golf. What percentage of the people like playing golf?
Given:
Of the 100 people polled, 20 like playing golf.
To find:
The percentage of the people who like playing golf.
Solution:
In the poll,
Total number people = 100
Who like playing golf = 20
Now, percentage of the people who like playing golf is
[tex]Required \%=\dfrac{\text{Number of people who like playing golf}}{\text{Total number people in poll}}\times 100[/tex]
[tex]Required \%=\dfrac{20}{100}\times 100[/tex]
[tex]Required \%=20[/tex]
Therefore, 20% of the people like playing golf.
Find the slope of the line that passes through each pair of points
Answer:
-3
Step-by-step explanation:
Start at the y-intercept which is 1, and go down however many times it would take, for you to go across and get to a point. Basically to find the slope is rise over run. In this case you would "rise" -3 and run 1. I haven't done this in awhile. If its wrong, I apologize. Have a good night.
Which equation below and value for x fits this model?
A)
2x = 30, x = 15
B)
2x = 6, x = 2
C)
2x = 6, x = 3
D)
x + x = 6, x = 1.5
Answer: I wanna say it's B
Step-by-step explanation: but I'm not completely sure.
Rewrite the following equation in slope-intercept form.
4x + y = 18
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y= -4x+18
Step-by-step explanation:
the answer is x=y/4+9/2 when solving for x
mark me as a brainliest please <3 thank you!
Find the measure of angle 4
Answer:
i feel this is an incomplete picture
Step-by-step explanation:
What is the equation of this line?
A. y = 2x - 3
B. y = -1/2x - 3
C. y = -2x - 3
D. y = 1/2x - 3
Answer:
A. y = 2x - 3
Explaination:
It can't be negative because then the slope would be going downward from left to right, this line is going upwards. Also, the steepness of the slope proves it is a slope of 2 because a slope of 1/2 isn't very steep. You can also count 1 unit over and look how much the line changes to find the slope.
Answer:
A
Step-by-step explanation:
X intercept : (3/2 , 0)
Y intercept : (0 , -3)
Slope: m=2
Kay sees a jacket in New York costing $170
She knows the same jacket costs £132 in London.
Using the exchange rate £1 = $1.30, work out in which place the jacket is cheaper
and by how much
Answer:
its cheaper in new York by $1.60
Step-by-step explanation:
132 x 1.30 = 171.60
if the jacket is $170 in new York it is cheaper
In the 2008 election there were 28 blue states and 22 red states express the red and the blue states as fractions in the lowest terms of the total number of states and also as decimals.
What is the main purpose of informational writing?
To compare and contrast
To present popular views on a topic
To express opinions without evidence
To inform readers about a topic using facts and details
Answer:
The correct answer is:
"To inform readers about a topic using facts and details"
Step-by-step explanation:
Let us define informational writing first.
Informational writing is like communication writing which is used to convey something using facts and figures. Whatever is stated in an informational writing, it is supported by related facts and proofs.
Hence,
The correct answer is:
"To inform readers about a topic using facts and details"
Can someone please help me????? Please I'm not good with Geometry
In order to safely clear a hurdle, a track runner must jump the hurdles with an angle of 30°. Find the height of the hurdle and the horizontal distance traveled if the runner covers a distance of 5 feet
The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = h / (5 ft)
and
cos(30°) = x / (5 ft)
where h is the height of the hurdle and x is the horizontal distance from where the runner jumps to the hurdle. So
h = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
x = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct
Answer:
2.5cup of milkStep-by-step explanation:
Step one:
we are told that the ratio of milk to flour is 1.5cups to 3 cups
in other words, to prepare cake we need 1.5 cup of milk and 3 cups of flour
if we use 5 cups of flour we can balance up using the relation below
1.5cups of milk require 3 cups of flour
x cups of milk require 5 cups of flour
cross multiply we have
x=1.5*5/3
x=7.5/3
x=2.5cup of milk
Which relations are functions? Select all that apply.
Answer:
A and C
Step-by-step explanation:
B has a domain connected to many other ranges which makes a relationship but confuses the whole function making it incorrect.
For answer D, the x coordinates 1 and 3 both have two y coordinates. That again makes a relationship but confuses the function making that answer incorrect.
In answer A, no domain is repeated in any of the points making it a function.
In answer C, again no domains are paired with more than one range making it a function. That why A and C are the answers
keith is an elevator operator in a big hotel. A(t)A(t)A, left parenthesis, t, right parenthesis models Keith's altitude (in meters relative to the ground) as a function of time (in minutes).Match each statement with the feature of the graph that most closely corresponds to it.
Answer:
Step-by-step explanation:
A relative maximum (or minimum) point is a point that is higher (or lower) than all of the points surrounding it.
This graph has a relative minimum point where A(t)=-12A(t)=−12A, left parenthesis, t, right parenthesis, equals, minus, 12, which means that Keith's lowest altitude was \textit{12}12start text, 12, end text meters below the ground.
A positive (or negative) interval is a domain interval over which the function values are all positive (or negative).
Since A(t)>0A(t)>0A, left parenthesis, t, right parenthesis, is greater than, 0 over the interval [6.5,10][6.5,10]open bracket, 6, point, 5, comma, 10, close bracket, this is a positive interval. This means that between the \textit{6.5}6.5start text, 6, point, 5, end text- and \textit{10}10start text, 10, end text-minute marks, Keith was above the ground.
An increasing (or decreasing) interval is a domain interval over which the function values increase (or decrease) as the input variable increases.
In this graph, the interval, 5, point, 5, comma, 8, close bracket is an increasing interval. This means that between the end text-minute marks, the elevator was going up.
Which of the following statements are true?
Select all that apply.
A. 6 is neither a perfect square nor a perfect cube.
B. 16 is a perfect square.
C. 27 is a perfect cube.
OD. 1,331 is both a perfect square and a perfect cube.
E. 9 is a perfect cube.
Answer:
A, B, and C are all true.
Step-by-step explanation:
A. 6 is neither a perfect square nor a perfect cube. True
B. 16 is a perfect square. True [tex]4^{2}[/tex]
C. 27 is a perfect cube. True [tex]3^{3}[/tex]
OD. 1,331 is both a perfect square and a perfect cube. False
E. 9 is a perfect cube. False
Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
Plz help me with this
Answer:
The function shown on the graph has a smaller rate of change but a higher starting point.
Step-by-step explanation:
a 32-ounce package of snack mix is 24 percent pretzels. how many ounces are pretzels
If 24 percent of the snack mix is pretzel, we simply need to multiply the total number of ounces by 0.24.
0.24 x 32 = 7.68
7.68 ounces of the snack mix will be pretzels.
Answer:
answer is D.
you multiply 32 x .24 = 7.68oz
Step-by-step explanation:
the way you solve this question
32 x .24%= 7.68 oz
make sure you place your decimal place to spaces to your left!
hope this helps!
WILL MARK BRAINLIEST
PLS DONT SCAM >:(
Answer:
A
Step-by-step explanation:
Graph y = -x + 6 On A Graph
Answer:
Step-by-step explanation:
The Bimini High School rugby team won the state championship in 2014. A
record of their wins and losses is shown, in which the relationship between wins
and losses is sorted by number of points scored.
> 40 points <40 points Total
Win 18
11
29
Loss 2
9
11
Total 20
20
40
Which of the following is the best evidence of an association between scoring
40 points or more and the rugby team winning a game?
Answer:
The Bimini team won a high proportion of games when scoring 40 points or more (18/20) compared with when they scored less than 40 points (11/20).
The best evidence is given when scoring 40 points or more in a game, the Bimini team won more games (18/20) than when scoring fewer than 40 points (11/20).
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The rugby squad from Bimini High School won the state title that year. A record of their wins and losses is shown, in which the relationship between wins and losses is sorted by the number of points scored. From observation, The best evidence is given when scoring 40 points or more in a game, the Bimini team won more games (18/20) than when scoring fewer than 40 points (11/20).
Thus, the best evidence is given when scoring 40 points or more in a game, the Bimini team won more games (18/20) than when scoring fewer than 40 points (11/20).
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Jones Middle School is taking a field trip to Baltimore, Maryland. Six buses will hold 150 students. How many buses will be needed if there are 283 students going on the field trip?
9 buses
10 buses
11 buses
12 buses
I need help on this assignment
Answer:
1.___ b
2.___c
3.___a
4.___d
Step-by-step explanation:
5% of x is =8
5/100 * X= 8
x=8*100/5=800/5=160
12% of x =5
x=41.666 approximately
8% of x=12
x=12*100/8=1200/8=150
5% of x= 12
x=12*100/5=1200/5=240
NEED HELP ASAP. (question in picture below)
Answer:
12
Step-by-step explanation:
bye