A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10. She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390. If she sells four times as many orchid bouquets as rose bouquets, how many flowers does she sell altogether?

Answers

Answer 1

Answer:

270 flowers total she sell Together.

Step-by-step explanation:

According to the Question,

Given, A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10.

Let, x = number of orchid bunches & y = number of rose bunches.

Now, She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390

Therefore, 25x + 30y = 390 ⇒⇒ Equation 1  

she sells 4 times as many orchid bunches as rose bunches,

Therefore,  x = 4y  ⇒⇒ Equation 2

Put The Value Of Equation 2 in Equation 1, We get

25 × (4y) + 30y = 390  

100y + 30y = 390

130y = 390  ⇔ y = 390 / 130 ⇒ 3  

if y = 3, then x = 4y must be equal to x= 12.

Thus, she sold 12 orchid bunches and 3 rose bunches.

Verify, 25x + 30y = 390 ⇔ 12 × 25 + 3 × 30 = 390 (All okay)

Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.

12 × 20 + 3 × 10 = 240 + 30 ⇔ 270 flowers total she sell Together.

Related Questions

Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!

Answers

Answer:

[tex]secA = \frac{65}{63}[/tex]

Step-by-step explanation:

[tex]cosec A = \frac{65}{16}\\\\sin A = \frac{1}{cosecA} = \frac{16}{65}\\\\cos^2 A = 1 - sin^2 A[/tex]

        [tex]= 1 - (\frac{16}{65})^2\\\\=\frac{4225-256}{4225}\\\\=\frac{3969}{4225}\\[/tex]

[tex]cos A = \sqrt{\frac{3696}{4225}} = \frac{63}{65}[/tex]

[tex]secA = \frac{1}{cosA} = \frac{65}{63}[/tex]

A car bought for $13,000 despreciates at 12% annually. What will the car be worth after 10 Years ?

Answers

Answer:

I think $3620.51

Step-by-step explanation:

If i did it right, the equation should be something like this?

13,000(.88)^10

Which value cannot represent the probability of an event occurring

Answers

Answer:

zero

Step-by-step explanation:

everything is theoretically possible

Peter gets 1 star for every 3 correct answers he gets on khan academy. What is the minimum number of correct answers Peter must enter if he wants to get 12 stars?

For full points you need to write an equation that uses a variable and division, show what work you did to solve it, and then give me a final answer.

Answers

Answer:

Peter needs to get 36 problems correct to get 12 stars

Step-by-step explanation:

for every 3 correct answers, Peter gets 1 star

1/3

if he wants 12 stars he will have to get 'x' amount of questions correctly

considering this is constant, 1/3 will have to equal 12/x

[tex]\frac{1}{3} = \frac{12}{x} \\\\1x = 36\\[/tex]

1x = x, so you don't need to do anything to 36

therefore the answer is that you need to get 36 problems correct to get 12 stars

help solving inequalities true or false (middle school) first person to answer i’ll give brainliest please!!!

Answers

Answer:

aef true and bcd false

hope u get well in your exams

Step-by-step explanation:

what is the range of the data below​

Answers

You need to provide a picture of the data or else nobody can solve it.

Answer:

u need to provide data where is data

Find the area. Round to the nearest hundredths if necessary.

Answers

Answer:

12.25π + 77, or approximately 114.48.

Step-by-step explanation:

We can divide the figure into two semicircles (which equal to one circle) and a rectangle. We know that the diameter of the circles is 7, which means the radius is 3.5. Since all points on the circle are equidistant from the center point, we can subtract 18 - 3.5 - 3.5 = 11. Therefore, the dimensions of the rectangle are 11 x 7, which means the area of the rectangle is 77. The formula for the area of a circle is πr^2. There are two semicircles, which means the sum of them both will equal one circle, since they have the same radius. The sum of the areas of the two semicircles equate to 12.25π. The area of the figure is 12.25 + 77, or approximately 114.48.

The total surface area of a cube is 433.5 cm2.
Find its volume.

Answers

Answer:

Step-by-step explanation:

The area of 1 face is s^2

The area of 6 faces is 6s^2

6s^2 = 433.5                 Divide by 6

s^2 = 433.5 / 6

s^2 = 72.25                   Take the square root of both sides

sqrt(s^2) = sqrt(72.25)

s = 8.5

Normally you would find the volume of parallelepiped by using L * W * H

Since L W and H are all equal in a cube, the volume = s^3

S^3 = 8.5^3 = 614.125

subtract 8x-8y+9 from 5x-8y-z

Answers

The answer is 3x+z+9 hope this helps

help pls.preparing for my term exam
Jackie is making flower arrangements. She has 2 roses and 4 daisies. If Jackie
wants to make all the arrangements identical and have no flowers left over, what
is the greatest number of flower arrangements she can make?
pls help <3

Answers

Answer:

2

Step-by-step explanation:

she will have 2 arangments of one rose and two daisies.

Answer:

2

Step-by-step explanation:

group off the daisies and rose

2 Rose's

4 raises

in order to make it identical

group 1 consist of ( 1 rose and 2 daisies)

group 2 consist of (1 rose and 2 daises)

only 2 bouquets

help help help help help help

Answers

Answer:

A

Step-by-step explanation:

because the intercept on the y axis is 6

Can someone help me? It's urgent and thank you!

Answers

Answer:

35 or A

Step-by-step explanation:

This is a combinations problem because the order doesn't matter (it's a council, not like president and v.p.). C(7, 3) is 7!/(4!*3!) = 7*6*5/3*2 = 35. Hope this helps! :)

draw and label a line a line segment a ray and an angle

Answers

Answer and Step-by-step explanation:

Everything is in the picture.

Lines are forever, so they have an arrow at each end.

Line segments have a dot at each end, so they don't go on forever.

A ray has a dot on one end and an arrow on the other, so one side goes on forever.

An angle can be acute, right, or obtuse.

#teamtrees #PAW (Plant And Water)

Help please! No links!

Answers

Answer:

It is placed to the left of –2

Solve the system of equations. Write you answer as an ordered pair.

X - 3y = -13

3x + 7y = 25​

Answers

Answer:

Step-by-step explanation:

x - 3y = -13

x = -13 + 3y

3 * (-13 + 3y) + 7y = 25

-39 + 9y + 7y = 25

16y = 64

y = 4

3x + 7 * 4 = 25

3x = -3

x = -1

Answer: (-1, 4)

helpppp meee pleaseeeeewee

Answers

We can't see what you are talking about. send another one.

$2000 at 9% for 1 year

Answers

Answer:

$180

Step-by-step explanation:

9% = 0.09

2000 * 0.09 = 180

Solve using square roots no links plz.

Answers

Discriminant: 24
Solutions: x=−3± the square root of 6

Chuck performed an experiment with a list of shapes. He randomly chose a shape from the list and recorded the results in the frequency table. The list of shapes and the frequency table are given below. Find the experimental probability of a parallelogram being chosen.

Answers

Answer:

1/6 (simplified)

Step-by-step explanation:

It's 3/18, but in most cases you should simplify unless it says to not.

15 point question!
Hi can you help? Thanks! *if you are gonna answer, actually answer please!*
Brainly if you get it right!

Answers

Answer:

The answer is 129

Step-by-step explanation:

5(exponent 4)/5 = 125 +4 equals 129

I think

Answer:

129

Step-by-step explanation:

5^4 / 5   + 4

We know that a^b / a^c = a^(b-c)

5^(4-1) +5

5^3 +4

125 +4

129

Simplify the expression 3 (9+ 4z - 5) ​

Answers

Answer:

12x+12

Step-by-step explanation:

Multiply 3 to everything in the parenthesis

so it becomes

18+12x-15

=12x+12

How many marble do you need to balance to scale

A. 4

B. 3

C. 2

D. 1

Answers

Answer: its B.

Step-by-step explanation:

have a good day hope this help

Answer:

B.3

Step-by-step explanation:

just divide 6 by 2

what is the answer to this question

Answers

D

Explanation: the b value is the starting point and it starts at positive 2, the graph is positive so the slope is also positive which only leaves answer choice D.

Answer:

[tex]slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}[/tex]

in a math final please help asap

find the angle r show ur work

Answers

Answer:

The measure of angle R is 112 degrees

Step-by-step explanation:

Using the given markings, we can see that we have an isosceles triangle

so RT is also 3x-2

Mathematically, the sum of the interior angles of a triangle is 180:

Thus;

9x + 4 + (3x-2) + (3x-2) = 180

9x + 3x +3x + 4-2-2 = 180

15x = 180

x = 180/15

x = 12

Recall; Angle R is 9x + 4

= 9(12) + 4 = 108 + 4 = 112

Please help?? I have an exam tomorrow

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 5xy + 6y² = x² - 3xy - 2xy + 6y²

                      = x(x  - 3y) - 2y(x - 3y)

                      = (x - 3y)(x -2y)

x² - 4xy + 3y² = x² -xy - 3xy + 3y²

                      = x(x - y) - 3y(x - y)

                      = (x - y)(x - 3y)

x² - 3xy + 2y² = x² - xy - 2xy + 2y²

                      = x(x - y) - 2y(x - y)

                     = (x - y)(x - 2y)

Least common denominator = (x-y)(x - 2y)(x - 3y)

[tex]RHS = \frac{1*(x-y)}{(x-3y)(x-2y)*(x-y)}+\frac{a*(x-2y)}{(x-y)(x-3y)*(x-2y)}+\frac{1*(x-3y)}{(x-y)(x-2y)*(z-3y)}\\\\= \frac{x- y + ax - 2ay +x -3y}{(x-y)(x-2y)(x-3y)}\\\\= \frac{2x -4y +ax - 2ay}{ x^{3}-5x^{2}y+8xy^{2}-4y^{3}}[/tex]

how do you find x in this? I need help asap!!​

Answers

Answer:

Step-by-step explanation:

According to the theorem, the angle measuring 110 is one-half the measure of the arc it intercepts. That means that the major arc (this arc of which I'm speaking) measures 110 * 2 = 220.

Since the outside of a circle, regardless of how big or small the circle is, has a degree measure of 360, then x = 360 - 220 so

x = 140°

Which graph represents the function f(x) = 5x + 3)?
4
4
3
2
1
2
1
-
1 2 3 4
-5-4-3-2-4
2+
-5-4-3-2-4
2
-3
4
2
1
54-3-2-1412

Answers

Answer:

the first one

Step-by-step explanation:

all created functional values must always be negative, because "absolute value" Shays creates only positive numbers, and then the "-" in front makes then sure we have only negative numbers.

that rules out the third and fourth answer option.

to decide between first and second answer, I choose to see, when the function should deliver 0 as functional value.

f(x) is 0, when x+3 is 0. and that is only possible for x=-3.

so, at x=-3, y=0.

and that is only true for the first answer option.

Gillian swears her computations for the
following equations prove they do not
intersect. Her brother who just finished
learning about intersecting lines told her they
definitely intersect because the slopes are
different. Gillian remembered that logic from
class and then decided she needed to be able
to prove intersection by using algebra.
Although there are multiple strategies, how
might she prove intersection without graphing
of the following equations?
4x +3y = 6 and 6x + 2y = 10

Answers

Step-by-step explanation:

Given

Two lines are [tex]4x+3y=6[/tex] and [tex]6x+2y=10[/tex]

Two lines [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex] will intersect when

[tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex]

for the given lines

[tex]a_1=4,a_2=6,b_1=3,b_2=2[/tex]

[tex]\therefore \dfrac{4}{6}\neq \dfrac{3}{2}\\\\\dfrac{2}{3}\neq\dfrac{3}{2}[/tex]

Hence, lines are intersecting

Carlos makes a fruit drink by mixing orange juice and grapefruit juice. The ratio of orange juice to grapefruit juice is 3: 1. He makes 10 litres of the fruit drink.

Work out how much orange juice he uses.

Answers

-7.5 is the answer if that’s a choice.

Answer:

7.5 litres

Step-by-step explanation:

Let the amount of orange juice ve 3x litres and amount of grapefruit juice be 1x. (As they are in ratio of 3:1.)

Now, according to the question,

He makes 10 litres of the fruit drink.

So,

⇒ Amount of orange juice + Amount of grape fruit juice = 10 litres

⇒ 3x + x = 10

⇒ 4x = 10

⇒ x = 10 ÷ 4

x = 2.5

Now,

⇒ Amount of orange juice he used= 3x litres

⇒ Amount of orange juice he used= 3(2.5) litres

Amount of orange juice he used= 7.5 litres

He used 7.5 litres of orange juice.

i need the answer. (will give brainliest to first answer)

Answers

Answer:

[tex]\overline{PO}\cong \overline{SO}[/tex]

Step-by-step explanation:

SAS (Side-Angle-Side) is a proof of congruence for two triangles. It states that when two triangles share two sides and the angle between them, they are congruent. Therefore, if PO and SO are proven to be congruent, the two triangles in the figure will share two sides and the angle between them, thus being congruent.

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