A florist must make 5 identical
bridesmaid bouquets for a wedding. The budget is
$160, and each bouquet must have 12 flowers. Roses
cost $2.50 each, lilies cost $4 each, and irises cost
$2 each. The florist wants twice as many roses as the
other two types of flowers combined.
Answers
Answer:
A. 40x + 10y + 10z = $160
B. 8 Roses, 2 lilies and 2 irises
C.
1. 20x + 5y + 5z = $80
2. 4x + y + z = $16
3. 8x + 2y + 2z = $32
Step-by-step explanation:
Cost for each flower = $160/5 = $32
So we have $32 for each bouquet consisting of 12 flowers each.
Roses = x = $2.50 each
lilies = y = $4 each
irises = z = $2 each
8x + 2y + 2z = $32
8($2.50) + 2($4) + 2($2) = $32
$20 + $8 + $4 = $32
$32 = $32
a. Maximum budget is $160
40x + 10y + 10z = $160
40($2.50) + 10($4) + 10($2) = $160
$100 + $40 + $20 = $160
$160 = $160
b. From above
8x + 2y + 2z = $32
8 Roses, 2 lilies and 2 irises
c. No. There are other solutions If total cost is not limited
1. 20x + 5y + 5z
20($2.50) + 5($4) + 5($2)
$50 + $20 + $10
= $80
2. 4x + y + z
4($2.50) + $4 + $2
$10 + $4 + $2
= $16
3. 8x + 2y + 2z
8($2.50) + 2($4) + 2($2)
$20 + $8 + $4
= $32
Related Questions
A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of number of blue marbles to the number of marbles that are orange or green?
Answers
Answer:
What you are looking for is the ratio which is 5/9
Step-by-step explanation:
all you had to do was add them together
Answer:
Step-by-step explanation:
5 to 9
where does 17 lie between
Answers
find 759 divided by 3
Answers
Answer:
253 .....is that it??
Step-by-step explanation:
Answer:
253!
Step-by-step explanation:
Top Brass Trophy Company, makes large championship trophies for youth athletic teams. At the moment they are planning production for fall sports: football and soccer. Each football trophy has a wood base, an engraved plaque, a large brass football on top, and returns $12 in profit. Soccer trophies are similar except that a brass soccer ball is on top, and the unit profit is only $9. Since the football has an asymmetric shape, its base requires 4 board feet of wood; the soccer base requires only 2 board feet. At the moment there are 1000 brass footballs in stock, 1500 soccer balls, 1750 plaques, and 4800 board feet of wood.
Required:
a. Define your decision variables and variable restrictions.
b. Build and present your linear programming model.
c. If you can, solve your linear programming model by graphical method. Otherwise, state your reason. Note that you can derive an optimal solution exactly by solving related equations.
d. If the number of available plaques is 200, modify your model and solve it again.
Answers
Answer:
a) maximize 12F + 9S
where:
F = football trophies
S = soccer trophies
b) constraints:
wood ⇒ 4F + 2S ≤ 4800
plaques ⇒ F + S ≤ 1750
brass footballs ⇒ F ≤ 1000
brass soccer balls ⇒ S ≤ 1500
c) using solver, the optimal solution is 650F + 1100S = $17,700
d) plaques ⇒ F + S ≤ 200, then
optimal solution is 200F = $2,400
At a middle school, 3 out of 4 students ride a bus to school. There are 600 studenta at the school. How many students ride a bus to school
Answers
Answer:
450 students ride a bus to school.
Step-by-step explanation:
If 3 out of 4 middle school students attend class by bus, it could be stated that 75% of the students use this means of transport to get to class (3/4 = 0.75).
Therefore, if this school has a total of 600 students, and 75% of them use the bus, it could be stated that 450 students attend school using this means of transport (600 x 75/100 = 450).
Answer:
450 students
Step-by-step explanation:
1/4 = 0.25
3/4 = 0.75
600 x 0.75 = 450 students
Hope this helps!
show that 5x²+2x-3
can be written in the
form |x+1/5| < 4/5 Hence, solve
the inequality
5x²+2x-3< 0
Answers
5x² + 2x - 3 < 0
5x² + 2x < 3
x² + 2/5 x < 3/5
Complete the square on the left side:
x² + 2/5 x + 1/25 - 1/25 < 3/5
(x + 1/5)² - 1/25 < 3/5
(x + 1/5)² < 16/25
Take the square root of both sides, keeping in mind that √(x²) = |x| for all x.
√((x + 1/5)²) < √(16/25)
|x + 1/5| < 4/5
This means
-4/5 < x + 1/5 < 4/5
-1 < x < 3/5
What kind of number is 438.2 rational or irrational ?
Answers
ratinal
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
A rational number is any number that can be turned into a fraction. Any decimal number can be turned into a fraction, therefore, this is a rational number.
Find an equivalent ratio in simplest terms 44:80
Answers
Answer:
11:20
Step-by-step explanation:
Divided by 4
pleas help me ill give brainleyest
Answers
Answer:
11.8% Decrease
Step-by-step explanation:
I googles it i am sorry if it's not right
2x=(-x)+6 answer and I’ll give brainiest
Answers
3x=6
X=2
You would add the x to the 2x because negative :)
Answer:
x = 2
Step-by-step explanation:
[tex]2x=-x+6[/tex]
[tex]2x+x=6[/tex]
[tex]3x=6[/tex]
[tex]\frac{3x}{3} =\frac{6}{3}[/tex]
[tex]x=2[/tex]
Use the zero product property to find the solutions to the equation x2 – 9 = 16.
x = –3 or x = 3 x
= –6 or x = –3 x
= –5 or x = 5 x
= 7 or x = 1
Answers
x^2-9=16
x^2=16+9
x^2=25
[tex]\sqrt{x}[/tex]=±5
(-5 or 5)
Verification:
5^2-9=16
25-9=16
(-5)^2-9=16
25-9=16
Answer:
The answer is C x=-5 or x=5
Step-by-step explanation:
correct on edge nov 2020
A company purchased mineral assets holding approximately 225,000 tons of ore for 855,000. The estimated residual value of the assets is zero. During the first year, 47,500 tons are extracted and sold. What is the amount of depletion for the first year?
Answers
Answer:
000.99
Step-by-step explanation:
set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
111
125
143
250
Answers
Answer:
125
Step-by-step explanation:
The theoretical probability is 1/8 and (1/8)*1000=125
Answer:
b
Step-by-step explanation:
got it right
If a histogram of a sample of men's ages is skewed, what do you expect to see in the normal quantile plot?
Answers
Answer: Points are not following a straight-line pattern
Step-by-step explanation:
Histograms are used to show the distribution of a dataset.
If the histogram is skewed, then it means that the points do not follow a straight-line pattern, on the normal quantile plot.
From the question, we understand that:
The histogram is skewed
This means that:
The data points of the histogram are either concentrated on the right or on the left-hand side of the histogram.
The above highlight mean that:
The points on the histogram are unequal.
Hence, you would see that the points do not follow a straight line pattern on the normal quantile plot.
Read more about normal quantile plot at:
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Using synthetic division, what is the quotient of this expression? 2x^2 + 5x - 7 divided by x - 2
A. 2x + 7
B. 2x + 9 + 11 divided by x - 2
C. 2x + 1 - 5 divided by x - 2
D. 2x - 5
Answers
Answer: 2x + 9 + 11/x - 2
Step-by-step explanation:
2x^2 + 5x - 7 divided by x - 2 we get quotient 2x + 9 .
What is synthetic division algebra?Synthetic division is a method for doing Euclidean division of polynomials that requires less writing and calculations than long division. The approach is most commonly taught for division by linear monic polynomials (known as the Ruffini's rule), but it can be adapted to division by any polynomial.Divide the dividend by the divisor to find the quotient of a division problem. This can be accomplished by using repeated subtraction or lengthy division. The quotient of two integers, two fractions, or two algebraic terms can be found.[tex]\frac{2x^2 + 5x - 7 }{x-2}[/tex] after Synthetic division we get 2x + 9 as the quotient and reminder 9
To learn more about Synthetic division refer,
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Factorise fully
63 - 9b
Please do quick! Will mark brainiest!
Answers
I believe it is 9(7-b)
Graph the line y=-1/3x+3
Answers
A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
Horn
40%
OFF
How much was deducted from the original price? (4 pt.)
А
$0.40
B
$5.20
$7.80
Answers
A percentage is a way to describe a part of a whole. The amount paid by Marta for the cookbook is $7.80.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the original price of the cookbook was $13, Marta bought it for 40% off. Therefore, Marta only paid 60% of the original cost,
[tex]\text{Amount paid by Marta} = \text{60\% of the original cost}\\\\\text{Amount paid by Marta} = \dfrac{60}{100} \times \$13\\\\\text{Amount paid by Marta} = \$7.8[/tex]
Thus, the amount paid by Marta for the cookbook is $7.80.
Learn more about Percentages:
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What is the simplest form of
N3240215
bº?
b20)
(Assume that a 20
and
18ab3
* 1864
O 162ab3
162ab4
RETRY
done
Answers
Answer:
A
and the answer to part b is
C
Step-by-step explanation:
Answer:
the other man is right
Step-by-step explanation:
a then c so have nice day love yall
GOD PLEASE HELP ME!!!!!!ITS DUE IN 10 MINUTES
Answers
Answer the following questions using what you've learned from this unit. Write your answers in the
space provided. Be sure to show all work.
1. Solve the equation.
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
Step 1: Use the distributive property to remove the parentheses. (2 points)
Step 2: Collect any like terms on both sides of the equation. (2 points)
Step 3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides.) (2 points)
Answers
Answer:
x=-3
Step-by-step explanation:
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
(remove parentheses)
5x-20+3x-9x=6-2x-5+8x
(collect like terms and calculate)
-x-20=1+6x
(move the terms)
-x-6x=1+20
(collect like terms and calculate)
-7x=21
(divide both sides)
x=-3
(your answer :))
Evaluate this expression: 39 ÷ (2 + 1) - 2 × (4 + 1).
Answers
Answer:
9.5
Step-by-step explanation:
here's my work
An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the expression 39 ÷ (2 + 1) - 2 × (4 + 1) is 3.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Using the rule of BODMAS the solution for the expression 39 ÷ (2 + 1) - 2 × (4 + 1) is,
39 ÷ (2 + 1) - 2 × (4 + 1)
= 39 ÷ (3) - 2 × (5)
= 13 - 2 × (5)
= 13 - 10
= 3
Hence, the solution for the expression 39 ÷ (2 + 1) - 2 × (4 + 1) is 3.
Learn more about Expression:
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Help, please I need it. I am horrible at math.
Answers
y = x²+1 at x=1 what’s the solution?
Answers
if x = 1 then
y = 1^2 + 1 ( 1^2 = 1 )
y = 1 + 1
y = 2
It snowed 68.5 cm in one day. How much did it snow in meters?
Answers
Answer: 0.685 meters
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 meter = 100 cm
x = 68.5
Cross multiply
68.5 * 1 = 100 * x
Divide by 100
68.5/100 = x
x = 0.68.5
How centimetres in 1 meter
Answers
Answer:
there is 100 cm in a meter
Step-by-step explanation:
solve the following equation for a: -g + 3/4a = y
Answers
9514 1404 393
Answer:
a = (4/3)(y+g)
Step-by-step explanation:
Isolate 'a' term, then multiply by the reciprocal of its coefficient.
[tex]-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}[/tex]
Solve 4(2x-1)-3=9(x4)
Answers
Answer:
x=-1/4
Step-by-step explanation:
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=29
AsKevin Selma madelyn Louis
Answers
mariain buys a dress that costs 32 dollars she pays 10 percent sales tax
Answers
Answer:
the total cost would be $45.2