Flori’s Flower shop contains fewer than 150 flowers. All the flowers are purple, yellow, red or white. The ratio of purple flowers to yellow flowers is 1 : 2, the ratio of yellow flowers to red flowers is 3 : 4 and the ratio of red flowers to white flowers is 5 : 6. How many flowers are there in Flori’s shop?
Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers.
How to determine the quantity of flowers in a flower shop
Flori's Flower shop owns a quantity less than 150 flowers, in which there are four kinds of flowers according to color: (purple - p, yellow - y, red - r, white - w), each variable represents positive integers. Now we proceed to construct the system of equation that describes the situation:
z < 150 (1)
p + y + r + w = z (2)
p = y/2 (3)
y = 3 · r/4 (4)
r = 5 · w/6 (5)
By (1) and (3) in (2):
y/2 + y + r + w < 150
By (4):
3 · y/2 + r + w < 150
9 · r/8 + r + w < 150
17 · r/8 + w < 150
By (5):
85 · w/48 + w < 150
133 · w/48 < 150
133 · w < 7200
w < 54.135
Now we assume that w = 48, then we have the following solution for the flower shop: r = 40, y = 30, p = 15.
Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers. [tex]\blacksquare[/tex]
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Logan saves the same amount of money each month for college. his current total savings is 300m2 120m 180 dollars. which factorization could represent the number of months and amount of a monthly deposit in dollars? 4m(75m2 30m 40) 10m(30m2 12m 18) 30(10m2 4m 60) 60(5m2 2m 3)
If his current total savings is 300m²+120m+180 dollars. The factorization that represent the months and monthly deposit is: 60(5m²+2m+3)
FactorizationGiven:
Expression=300m²+120m+180
Factorize
Extraction of common factor
60(5m²+2m+3)
Expand
60×5m²+60×2m+60×3
=300m²+120m+180
Therefore the factorization that represent the months and monthly deposit is: 60(5m²+2m+3).
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Answer: D
Step-by-step explanation:
Arrange the following numbers in descending order: 0,9: 0.009: 0,09, 0,0009; 9,09
Solve the equation
1/2(2x + 2)-1/4(3x - 1) = 15
A. X = 1.4
B. X = 6.7
C. X = 10
D. X = 55
Answer:
D
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] (2x + 2) - [tex]\frac{1}{4}[/tex] (3x - 1) = 15
multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions
2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side
4x + 4 - 3x + 1 = 60
x + 5 = 60 ( subtract 5 from both sides )
x = 55
How long will it take a deposit
of $4500 at an annual simple
interest rate of 5.75% to earn
$1035?
Answer:
4
Step-by-step explanation:
you times 4500 by 0.0575 and then divide 1035 by that number then you get 4
Finn earns $10.50 per hour at his job. He is saving up to buy a $300.00 video game system. How many hours will Finn need to work in order to be able to afford the
video game system? Let x represent the number of hours Finn works.
A. 10.50 + x S 300.00
B.
10.50x 2 300.00
C. 10.50 + x 2 300.00
D.
10.50x S 300.00
Answer:
The answer is D 10.50x =300.000
Step-by-step explanation:
I figured this out by knowing that to find the time you need to divide the total by the given made per hour which is 10.50 and he would make a total of $300 after about 28 hours so it would be 10.50 x being 28 = 300 dollars which gives the equation 10.50x = 300.000
PLEASE HELP!!! I'LL MARK BRAINLIEST!!! PLEASE HELP!!!
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Solve the system of equations below using elimination.
4x + 4y = -37
2x + 5y = -17
Part A: What is the x-value?
Part B: What is the y-value?
Part C: In one paragraph, using your own words, explain the work you did to find the answers to parts A and B.
Answer:
Part A: x = -39/4 or -9.75
Part B: y = 1/2 or .5
Step-by-step explanation:
Part C: Multiply the bottom equation by 2, obtaining 4x + 10y = -34. Subtract the top equation (4x + 4y = -37) from this equation, obtaining 6y = 3. Solving this, y = 1/2
(y = .5). Substitute this value of y into the equation 4x + 4y = -37, and then solve for x:
4x + 4(1/2) = -37
4x + 2 = -37
4x = -39, so x = -39/4 or -9.75
Select the number line that represents the opposite of the opposite of 7.
A.
B.
C.
D.
Answer: D
Step-by-step explanation: i took a course on this
helppppppppppppppppp
Answer:
54 degrees
Step-by-step explanation:
21/36 <- divide 21 by 36 first
=0.58333
Around 54 degrees
find the measure of arc ce please
Answer: 95 degrees
Step-by-step explanation:
What's the volume of a rectangle whose area is 63ft and length is 14ft?
Answer:
the answer is 4.5
Step-by-step explanation:
63 = 14
divide 14 on both sides
14/14 cancels out
63/14 = 4.5
The permieter of a square is 52 cm. Calculate the area of the square
Answer:
169 cm²
Step-by-step explanation:
Since it’s a square, the side lengths will all be equalDivide 52 by 4This gives you a side length of 1313² is 169Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: 8, y-intercept: -3
What iS the function rule for the line?
Answer:
It’s b
Step-by-step explanation:
15 men can do a piece of work in 80 days. How long will it take to complete the work of 5 men are reduced?
Answer:
120 days
Step-by-step explanation:
Remark
It's an inverse relationship. As the number of men go up, the 80 gets smaller. As the number of men goes down, the number of days will get larger.
Equation
80 = k / 15 Multiply both sides by 15
Solution
80*15 = 15 * k/15
1200 = k
That means that k is number that 80 men will produce. It is the number that relates men and days.
So now you want to put 10 men where 15 were before and see what that does to the number of days.
days = 1200/10
days = 120
Answer
It will now take 120 days.
15 men can do a piece of work in 80 days. How long will it take to complete the work if 5 men are reduced?
Explanation -:In this question we are provided that 15 men can do a work in 80 days and we are asked to calculate the time if 5 men are reduced that means we need to calculate the no. of days 10 men will take to do the same work.
There are two methods to solve this question
Unitary MethodMethod of proportion[tex] \small \red{ \underline{\bf{ Unitary \: Method }}}[/tex]
15 men can do a piece of work in 80 days
1 men can do a piece of work in 80 × 15 days
10 men can do a piece of work in [tex]\dfrac{80 × 15}{10}[/tex] = 120 days
Hence, 15 men can do a piece of work in 80 days. It will 120 days to complete the work if 5 men are reduced.[tex] \rule{40mm}{5pt}[/tex]
[tex] \small \orange{ \underline{\bf{ Method \: of \: proportion}}}[/tex]
Let us assume that 10 men can do a piece of work in x days.
[tex] \begin{array}{cc} \bf{Number \: of \: men} & \bf {Number \: of \: days} \\ 15&80 \\ 10&x\end{array}[/tex]
[tex] \small\bf{ 15 : 10 :: x : 80}[/tex]
[tex] ➲ \: \small\rm{10 \times x = 80 \times 15} [/tex]
[tex]➲ \: \small\rm {x = \dfrac{80 \times 15}{10} = 120 \: days }[/tex]
x = 120
Hence, 15 men can do a piece of work in 80 days. It will 120 days to complete the work if 5 men are reduced.[tex] \rule{72mm}{6pt} [/tex]
The side lengths of the base of this right triangular prism are 3 ft, 4 ft, and 5 ft. The height of the prism is 9 ft. What is the total surface area of the prism in square feet? Enter your answer in the box.
Answer:
480
Step-by-step explanation:
Helpppp plssss!!!!!!
It's 30 degrees
Step-by-step explanation:
Hope this helps!
Make b the subject of the formula [tex]a=\sqrt{b + 6[/tex]
Hi!
We want to solve for [tex]b[/tex]
Given:
[tex]a=\sqrt{b+6}[/tex]
Square both sides:
[tex]a^2=\sqrt{b+6} ^2[/tex]
Simplify:
[tex]a^2=b+6[/tex]
Subtract [tex]6[/tex] from both sides:
[tex]a^2-6=b+6-6[/tex]
Simplify:
[tex]a^2-6=b[/tex]
Flip:
[tex]b=a^2-6[/tex]
Hence, [tex]b[/tex] is the subject of the formula.
what is the area of the circle in terms of PI?
To find the area of the circle:
⇒ must know the area's formula ⇒ [tex]\pi r^2[/tex]
r --> length of radiusLet's consider the information given
diameter's length is 7 in⇒ the radius' length is half of the diameter
⇒ thus the radius' length is 3.5 in
Let's calculate the area:
[tex]Area=\pi r^2=\pi (3.5^2)=12.25\pi in^2[/tex]
The problem asks us to leave the answer in terms of '[tex]\pi[/tex]' which means that we won't multiply '[tex]\pi[/tex]' to the final answer, but leave it there,
Answer: 12.25[tex]\pi in^2[/tex] or Choice (B)
Hope that helps!
The rectangular prism below represents a box that is made completely out of
cardboard. Find the total square inches of cardboard made up by the box.
Answer:
I attached the answer
What is 6 divided by 22.02
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
0.27
Answer:
0.27
0.27247956403
Step-by-step explanation:
hope this helps
A supervisor finds the mean number of miles that the employees in a department live from work. he finds x overbar = 29 and s = 3.6. which mileage is within a z-score of 1.5?
The mileage that the supervisor will achieve that is within a z-score of 1.5 is; 23.6
How to find the z-score?Formula for z-score in statistics is;
z = (x' - μ)/s
Where;
x' is sample mean
μ is population mean
s is sample standard deviation
We are given;
x' = 29
Standard deviation; s = 3.6
z = 1.5
Thus;
1.5 = (29 - μ)/3.6
μ = 29 - (1.5 × 3.6)
μ = 23.6
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#SPJ4
6. Find the area of the shaded region of the circle. The
radius is given in inches.
Answer:
75.4
Step-by-step explanation:
S = r^2 * alpha * pi
where alpha is central angle = 135
S = 8^2 * 135/360 * pi = 12 * pi ~ 75.4
What is the area of a rectangular field which is 25 meters long and 15 meters wide
Answer:
375 m
Step-by-step explanation:
25 x 15 =
375
What is the quotient of 1/2 and 7/16
[tex]\dfrac 12 \div \dfrac 7{16}\\\\\\=\dfrac 12 \times \dfrac{16}7\\\\\\=\dfrac{16}{14}\\\\\\=\dfrac{8\times 2}{7 \times 2}\\\\\\=\dfrac 87[/tex]
vicki has a garden box that is 3 and 1 half feet long 8 feet wide and 1 half foot deep how many cubic feet of dirt does she need to fill the garden box completely.
Answer:
62 cubic feet
Step-by-step explanation:
31/2*8*1/2
put into calculator
62
How can you find an output number when you know an input number?
Answer:
You have to add 1.5 to each input number to find its corresponding output number.
If the answer is correct I will give brainilest!
If u +6=3 and v-4 = -2, what is the value of u + v?
a) 10
b) -2
c) 3
O a)
O b)
O c)
O d)
d) -1
Answer:
-5 is the answer to the question
what’s 110 decreased by 30%
Answer:
110 decreased by 30% is 77.
Step-by-step explanation:
To do this, what we do is simply take 30% of 110 and subtract it from 110.
30% of 110. A trick to easily figure this out is multipling 110 by 30 and dividing by 100.
110*30 = 3300
3300 / 100 = 33
110 - 33 = 77
110 decreased by 30% is 77.