A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there were 65 MORE sunflowers than roses. How many of each flower was there?

Answers

Answer 1

Answer:

[tex]52[/tex] roses and [tex]117[/tex] sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is [tex]4:9[/tex], we can represent how many there are of each as [tex]4x[/tex] and [tex]9x[/tex], respectively. We know that there are [tex]65[/tex] more sunflowers than roses, so we can set up the following equation to solve for [tex]x[/tex]:

[tex]4x+65=9x[/tex]

Solving for [tex]x[/tex], we get:

[tex]4x+65=9x[/tex]

[tex]4x+65-4x=9x-4x[/tex] (Subtract [tex]4x[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]65=5x[/tex] (Simplify)

[tex]5x=65[/tex] (Symmetric Property of Equality)

[tex]\frac{5x}{5}=\frac{65}{5}[/tex] (Divide both sides of the equation by [tex]5[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=13[/tex] (Simplify)

Therefore, since [tex]x=13[/tex], we know that there are [tex]4x=4*13=52[/tex] roses and [tex]9x=9*13=117[/tex] sunflowers. Hope this helps!


Related Questions

What is the area of a rectangle with a base of 7 cm and a height of 11 cm

Answers

Answer: 77

Step-by-step explanation:

1) What are the solutions of (x/3) > -1?

is this asking if I need multiple solutions?​

Answers

Yes...

x/3 > -1

what values of x make x/3 > -1

hint... your answer will look like like x > (number)

what equation is y=4/5x+8 in standard form

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Answer:

4x−5y=−40 I think thats the answer

please any one knows the answer I only have 2 minutes left
What five-letter word becomes shorter when you add two letters to it? ​

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Answer:

short .

short becomes shorter when you add er .

Step-by-step explanation:

Answer:

shorter

Step-by-step explanation:

short

shorter

choose the definition for the function y={x+1 x≤2 x+2 x>2 y={x+1 x>2 x+2 x≤2 y={x+1 x​

Answers

Answer:

D

Step-by-step explanation:

Gabrielle is 14 years older than mikhail. The sum of thier age is 84. What is mikhails age

Answers

Answer:

I really am just answering this for meh points, so I can ask a quesiton. Could you use this as helpfull xD. Taking a straight up guess. I think mikhail is 98

Step-by-step explanation:

Answer:

Mikhail is 35 years

Step-by-step explanation:

let mikhails age be k.

mikhail=k

Gabrielle=k + 14

k + k + 14=84

2k+14-14=84-14

2k=70

2k/2=70/2

k=35years

i need help 42/18 simplified.

Answers

Answer:

The simplest form of 42/18 is 7/3 or 2 1/3

Step-by-step explanation:

Answer:

7/3 or 2 and 1/3

Step-by-step explanation:

So first you have to find what is GCF of 42 and 18, which is 6 so divide 42 and 18 by 6 and you get 7/3 which is your simplified fraction but you can make this into a mixed number which would be 2 and 1/3

find the missing term.
a) 14:7 = 6:
b) 10:2 = :8

Answers

I think for a 6:8 and for b 8:6 sorry I’m probably wrong

Answer:

a) let the missing term be X ,then,

14:7=6:X

14/7=6/X

14x=7*6

X=7*6/14

X=3

b) let the missing term be X ,then,

10:2=8:X

10/2=8/X

10x=8*2

X=16/10

X=1.6

I need help quick I’ll give extra point to who ever answers

Answers

Answer:

1 = c

2 = b

3 = d

4 = d

5 = a

Step-by-step explanation:

1) 3x-4>17

2) 3x-4<17

3) 3x-4<=17

4) 3x-4<=17

5) 3x-4>=17

Answer:

Step-by-step explanation:

Joe is running after Bob. In a minute Joe does 60 steps, which makes up 3/16 of the number of steps, which Bob does in a minute. The length of Bob's step is 25 cm which makes up 5/24 the length of joe's step. With what speed do Bob and Joe run with what speed does the distance between them change? what will it become in 10 minutes, if right now bob is in front of joe by ten meters?

Joe is going with a speed of ____
cm per minute. Bob is going with a speed of ____
cm per minute. The distance between them changes with ____
cm per minute. The distance will become _____
cm in 10 minutes. _____

Answers

Answer:

Joe is going with a speed of 7200

cm per minute. Bob is going with a speed of 8000

cm per minute. The distance between them change with 800

cm per minute. The distance will become 9000

cm in 10 minutes

Answer:

7200 8000 800 and 9000

Step-by-step explanation:

L

Melanie is going to invest in an account paying an interest rate of 3.1% compounded
daily. How much would Melanie need to invest, to the nearest dollar, for the value of
the account to reach $11,900 in 14 years?

Answers

Using compound interest, it is found that Melanie would need to invest a value of $7,710.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem, we have that:

Rate of 3.1%, hence [tex]r = 0.031[/tex].Compounded daily, hence [tex]n = 365[/tex].Value of $11,900 in 14 years, hence [tex]t = 14, A(t) = 11900[/tex].The amount she needs to invest is P.

Hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]11900 = P\left(1 + \frac{0.031}{365}\right)^{365(14)}[/tex]

[tex]1.54339P = 11900[/tex]

[tex]P = \frac{11900}{1.54339}[/tex]

[tex]P = 7710[/tex]

Melanie would need to invest a value of $7,710.

To learn more about compound interest, you can take a look at https://brainly.com/question/25781328

Quadrilateral JKLM is graphed in the coordinate plane. Under which transformation
would the image of JKLM be similar to JKLM?

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

Rigid transformations and dilation will result in similar figures. Choices B, C, and D are not rigid transformations or dilations, but are different stretches in one direction than another.

The transformation of A is a dilation by a factor of 2 and reflection over the y-axis. It results in similar figures.

How to classify triangles by its sides and by its angles help pls

Answers

Step-by-step explanation:

triangle with 2 sides of equal lengths= isoceles

triangle with 3 sides of equal lengths= equilateral

Answer:

if the two sides are congruent, then it's an isosceles triangle.

all angles congruent and it's an equilateral.

all angles unequal and it's a scalene.

if all the angle measures are less than 90 degrees, then it's acute, but more than 90 degrees would be obtuse.

Ann already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks W and the number of appetizer recipes A.
Write your answer as an equation with a first, followed by an equals sign.

PLS SOMEONE ANSWER PLS PLS PLS! I WILL GIVE YO BRAINLIEST IF IT IS CORRECT!

Answers

Answer:

A = 3W + 4

Step-by-step explanation:

She learns 3 new recipes every week, which gives 3W

Then we add 4 because she already knew 4.

when 832 is divided by n, the result is 16

Answers

832/b=16 Answer : n=52



Explanation: 832/16 is equal to 52 then to check if this is right plug 52 in n and 832/52 is equal to 16 have a nice day (:

Please help! I am so confused on this, I've probably been stuck on it for at least an hour.

Answers

9514 1404 393

Answer:

  see attached for the drawing

  slope = -1/2

Step-by-step explanation:

For the rise of -1 and the run of 2, the slope is ...

  m = rise/run = -1/2 . . . . slope in simplest form

__

Additional comments

It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.

On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.

We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.

Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.

Solve, using a proportion.
If there are 75 pepperoni on
5 large pizzas, how many pepperoni
are there on 3 large pizzas?

Answers

Answer:

There are 45 pepperoni on 3 large pizzas

Step-by-step explanation:

Here, we want to use proportional relationship to solve this;

75 pepperoni to 5 large pizzas

x pepperoni to 3 large pizzas

75 * 3 = x * 5

x = (75 * 3)/5

x = 15 * 3 = 45

Please Help Me!!!!!!!​

Answers

Answer:

D

Step-by-step explanation:

(6, 24)  this ordered pair has an x-value of 6 and a y-value of 24

The only equation, if you substitute those values into it, which works is D.

24 = 4(6)

24 = 24

Banita has a piece of string that is One-tenth times 7 inches long. Which fraction is equal to the length of Banita’s string?

One-tenth inches
Six-tenths inches
Seven-tenths inches
Eight-tenths inches

Answers

Seven tenths inches

Your family spends $30 for tickets to an aquarium and $3 per hour for parking. Write an equation that gives the total cost of your family's visit to the aquarium as a function of the number of hours that you are there. Find the total cost of 4 hours at the aquarium

Answers

Answer:

Equation: y=$3(x)+$30

Total cost $42

Step-by-step explanation:

Calculation to Find the total cost of 4 hours at the aquarium using this formula

y=mx+b

Where,

y intercept=Total cost

m=$3 per hour

b=$30 Tickets

x=4 hours

Let plug in the formula

First step is to form the equation

y=$3(x)+$30

Second step is to substitute 4 hours for m and b

y=$3(4)+$30

Hence:

y=$12+$30

y=$42

Therefore the equation will be y=$3(x)+$30 while the total cost of 4 hours at the aquarium will be $42

Garrett arrived at the train station at 12:35 P.M. His train finally came at 1:30 P.M. How long
did Garrett have to wait for the train?

Answers

Answer:

55 minutes

Step-by-step explanation

   He started waiting at 12:35 P.M. If we're assuming this is the same day, you're able to add the minutes until you get to 1:00 P.M., which is around 25 minutes. Afterwards, you need to add another 30 minutes to get to the train's time of arrival, which means you should get 55 minutes!

is 3.254 rational or irrational

Answers

It is rational

Hope this helps

Have a great day/night

Task 4
Shelly started driving her own car for Uber. She
charges a flat fee of $5.00 and $0.50 for every
kilometer.
Q: How many kilometers were travelled if she
charges $32.50?

Answers

Answer:

5 and 10/11 kilometers

Step-by-step explanation:

if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer

what is the distance between (-1, 2) and (3, 5)

Answers

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

-1 is x12 is y13 is x25 is y2

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D

6x + 3y = 12 solve for y

Answers

Answer:

Y= -2x+4

Step-by-step explanation:

Put it in slope intercept form

y=mx+b

Now subtract 6x on both sides to get y isolated

3y=12-6x

Now divide 3 on both sides to get y by itself

y=4-2x

Now in slope intercept form is

y= -2x+4

How much interest would you pay on a $12000 loan at 5% for 6 years

Answers

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

Someone please help me I will give brainliest! IT SOOOO HARD FOR ME!

Answers

Answer:

Step-by-step explanation:

We can do this by cross multiplying.

14/6=x/21

=49/21

Helpppppp plssssssssss

Answers

Answer

I dont know

Step-by-step explanation:

I would love to help but I have no clue

Answer:

slope = 12/7

Step-by-step explanation:

y2 - y1 / x2 - x1 = slope

slope = 4-(-8)/0-(-7)

slope = 12/7


In the diagram below, RS and ST are perpendicular.

Which equation represents ST ?
А.
-x+ 3y = 9
В.
3x + y = 13
C
-3x+y=-13
D
3x + y=23

Answers

Answer:

A==−x+3y=9

Step 1: Add -3y to both sides.

−x+3y+−3y=9+−3y

−x=−3y+9

Step 2: Divide both sides by -1.

−x

−1

=

−3y+9

−1

x=3y−9

Answer:

x=3y−9


a QR is congruent to QP
b PR is congruent to QP
c PR is congruent to QR

Answers

Answer:

option c

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

because in the end QP go together so it either A or B and it A because thats how the triabgle goes

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