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

Solve log x=4

x=4
x=40
x=1000
x=10000

Answers

Answer:10000

Step-by-step explanation:

Remember that log x and 10^x are inverse functions.

If you have log x = 4 and want the value of x, write this out:

log x 4

10 = 10

This simplifies to:

x = 10^4, and so the fourth answer choice is the correct one.

what is 7/5minus 5 equal?

Answers

it equals to -3.6
you are welcome!

answer:

- 3   3/5

7/5-5/1 = 18/5

18/5 = - 3  3/5

Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°.

Approximately how tall is the tree?

Answers

Answer:

[tex]\boxed {\boxed {\sf About \ 28.36 \ meters }}[/tex]

Step-by-step explanation:

Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.

sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacent

Now, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.

We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.

[tex]tan(\Theta)=\frac{opposite}{adjacent}[/tex]

opposite=x adjacent=5 mθ=80

Substitute in the known variables.

[tex]tan(80)=\frac{x}{5 \ m }[/tex]

We want to find x, the height of the tree. Therefore we need to isolate that variable.

x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.

[tex]5 \ m* tan(80)=\frac{x}{5 \ m }* 5 \ m[/tex]

[tex]5 \ m* tan(80)=x[/tex]

[tex]5 \ m *5.67128182=x[/tex]

[tex]28.3564091 \ m = x[/tex]

The question asks for an approximation, so let's round to the nearest hundredth.

The 6 in the thousandth place tells us to round the 5 to a 6.

[tex]28.36 \ m \approx x[/tex]

The tree is about 28.36 meters tall.

The first term of a geometric sequence is 6 and the common ratio is -8. Find the 6th term.

Answers

9514 1404 393

Answer:

  a6 = -196,608

Step-by-step explanation:

The general term of a geometric sequence with first term a1 and common ratio r is given by ...

  an = a1·r^(n-1)

For a1 = 6, r = -8, and n = 6, we find the 6th term to be ...

  a6 = 6·(-8)^(6-1)

  a6 = -196,608

Given 2m+n=r, solve for m.​

Answers

Answer:

m= r-n/2

Step-by-step explanation:

2m+n=r

2m=r-n

m=r-n/2

pls help i need it asap

Answers

Answer:

down below

Step-by-step explanation:

k) 1 and 22/48

l)124/26

m)68/20

n)2 and 5/10

o)2 and 18/19

please give me brainliest!!!<3

Which line on the graph below has an undefined slope?

P
Q
R
S

Answers

Answer:

Q

Step-by-step explanation:

X has constant value

x'-x = 0

m =(y'-y)/(x'-x)  --> undefined

Answer:

R

Step-by-step explanation:

A vertical line has a slope that is "undefined". Line R is the vertical line on your graph

___________

The slope of a vertical line is "undefined" because of the way slope is defined. Slope is the vertical change divided by the horizontal change. When the line is vertical, there is no horizontal change, so the computation of slope involves division by zero. The result of division by zero is "undefined."

What value of x makes the equation -4+12x=8 true?

Answers

Answer:

1

Step-by-step explanation:

Can someone explain how to do this I'm lost.

Answers

Step-by-step explanation:

[tex]\huge\bold\purple{ 5 }[/tex]

[tex]\huge\bold\purple{ explanation }[/tex]

[tex]90(right \: angle) = (9x + 1) + (7x + 9) \\ 90 = 16x + 10 \\ 16x = 90 - 10 = 80 \\ x = 80 \div 16 \\ x = 5| [/tex]

Can somebody simply these matrixs for me please I will give out brainlist to first correct answer

Answers

I think is D I am so sorry if I’m wrong

Answer:

I think it's D:)

Step-by-step explanation:

Write down the next two terms in these quadratic sequences:
1.
9, 13, 19, 27,


2.
-5, 0, 9, 22,

Answers

1) 9,13,19,27,37,49
and i’m not sure about the 2nd one

what is the equation that passes through the given point and has the given slope (-2, -1); m= -3

Answers

Answer:

y = - 3x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (- 2, - 1) into the partial equation

- 1 = 6 + c ⇒ c = - 1 - 6 = - 7

y = - 3x - 7 ← equation of line

Answer:

The equation would be y=-3x-7

Step-by-step explanation:

What are the solutions to the following system of equations? Select the correct answer below.
y = x2 - 4x + 3
2x + y = 6
A) (-1,8) and (3,0)
B) (-1, 3) and (8,0)
C) (0,8) and (3, -1)
D) (3, 8) and (-1,0)

Answers

Answer:

A

Step-by-step explanation:

we can conclude from the second equation that when

2x + y = 6 then y = 6 - 2x. so instead of y in the first equation we use 6 - 2x.

now the equation would look like this : 6 - 2x = x^2 - 4x + 3 .

then we bring everything to one side of the equation : x^2 - 2x - 3 .

now we'll have two results for x ( because x^2 - 2x - 3 = 0 has 2 answers )

one of them is -1 and other one is 3.

if we put them in the first equation we will have 8 and 0 for y.

so A is the answer

Someone please help me with this​

Answers

Answer:

The area of the shaded figure is:

20 units^2

Step-by-step explanation:

To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):

Area of a rectangle = long * wideArea of a rectangle = 6 * 4Area of a rectangle = 24 units^2

How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):

Area of a triangle = [tex]\frac{wide*height}{2}[/tex]Area of a triangle = [tex]\frac{4*2}{2}[/tex]Area of a triangle =[tex]\frac{8}{2}[/tex]Area of a triangle = 4 units^2

In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:

Area of the shaded figure = Area of the rectangle - Area of the triangleArea of the shaded figure = 24 units^2 - 4 units^2Area of the shaded figure = 20 units^2

I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.

Is a circles area proportional to its radius? Is a circles circumference proportional to its diameter?

Answers

In geometry, the area enclosed by a circle of radius r is πr2. Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

all of the following proportions can be used to solve for m except​

Answers

Answer:

abcdefghijklmnopqrstuvwxyz

HELP URGENT 40 POINTS

Answers

Answer:

Step-by-step explanation:

Do you mind telling me what grade you are in? Oh and can you take a better picture?

Gerri is working on a project that need to be finish by Friday so far she has completed 1/3 of the project How much of the project does she have to finish By Friday . Answer is . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Answers

Answer:

Part of incomplete work = 2/3 of project

Step-by-step explanation:

Given:

Part of work completed = 1/3 of project

Find:

Part of incomplete work

Computation:

Part of incomplete work = 1 - Part of work completed

Part of incomplete work = 1 - 1/3

Part of incomplete work = 2/3 of project

PLEASE HELP HELP ASAP ASAP PLEASE HELP
Which two grids can be combined to represent 140%?
JA
В
C
O A and B
O A and C
OB and D
O C and D

Answers

Answer:

0A and C

Step-by-step explanation:

Please mark me brainlist

nancy is making cupcakes for her schools bake sale. after 2 hours of work she has 41 cupcakes after 7 hours she has 141 cupcakes. write an equation to model the number of cupcakes y for cupcakes x for hours

Answers

The answer is:

y = 20x + 1

Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Equation:
1
4
a +
1
3
a + 8 = 22
Carrie’s allowance was $.

Answers

Answer:

$24

Step-by-step explanation:

Let the total amount of her allowance = a

We are told that she spent $8 on belt

And the total amount she spent = $22

The Fraction of allowance spent on

Shirt = 1/4

Skirt = 1/3

Hence, the equation is given as:

1/4 × a + 1/3 × a + $8 = $22

Collect like terms

a/4 + a/3 = $22 - $8

a/4 + a/3 = $14

The Lowest Common Denominator = 12

3a + 4a/12 = $14

7a/12 = $14

Cross Multiply

7a = $14 × 12

7a = $168

a = $168/7

a = $24

Therefore, her total allowance = $24

Answer:

its 24 i took the quiz :)

Help please- I’m about to stress the heck out djhdhd

-x / 8 = 5

Answers

multiply both sides by the denominator (8)
-x =40

Help anyone? I need the questions worked out it doesn’t matter if you give me only one question

Answers

y2-y1/x2-x1. For A and B y2=4, y1=-4, x2=2 and x1=-2... Now u plug them in them, 4-(-4)/2-(-2)= 8/4=2. Slope equals 2. :)

50 points and brainiest if correct.

Answers

Answer:

2

Step-by-step explanation:

2

Answer:

28 gallons.

Step-by-step explanation:

1/5 is 20% of the container's full capatcity.

7/10 is 70% of the container's full capatcity.

20% - 70% = 50%

By adding 14 gallons of water, the container's water went up by 50%.

If we multiply 14 by 2, we will know what the container can hold at 100% capatcity.

14 x 2 = 28

Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.

O triangular pyramid

O square pyramid

O rectangular prism

O cube

O cone

O cylinder

O sphere

Answers

Answer:

Rectangular PrismCube Cylinder

Step-by-step explanation:

I know because I just did it on an assignement and it said these were the right answers.

In this exercise we have to use knowledge of direction and congruent lines to identify which objects have these characteristics, so we can say that:

Rectangular Prism

Cube

Cylinder

Triangular pyramid

First we have to remember the definition of congruent lines, such as:

having the same size and shape. equal angles.

From this we can now identify these figures as:

Rectangular PrismCubeCylinderTriangular pyramid

See more about congruent at brainly.com/question/24887947

Taylor is buying a chest freezer that had an original price of $145 but is
advertised at 25% off. Sales tax of 6.75% is applied to the discounted price.
How much will Taylor pay for the chest freezer?
a. $108.75 b. $116.09
C. $7.34
d. $108.08

Answers

Answer:B

Step-by-step explanation:

It's 116.09

this is a personal question what do you do if your little sister will not stop bothering you and you are home allowen?

Answers

Answer: first try seeing what she wants and if that doesn’t work. either put on her favorite show with some snacks or go somewhere where you know she can’t find you. ☺️

Step-by-step explanation:

Our friend purchased a medium pizza for $10.31 with a 30% off coupon. What is the price of a medium pizza without a coupon? Do not include units (dollars) in your answer.

Answers

Answer:

the price of a medium pizza without a coupon is 14.73

Step-by-step explanation:

The computation of the price of a medium pizza without a coupon is given below:

Given that

The Price of medium pizza be 10.31 after considering the 30% off coupon

That means it is 70% value

So the 100% value would be

= 10.31 × 1 ÷ 0.70

= 14.73

hence, the price of a medium pizza without a coupon is 14.73

What is the measure of JGK shown in the diagram below?
A. 56
B. 112
C. 138
D. 69

Answers

According to formula if there is addition the ans is 138 and subtraction is 112

Answer:

B.56

Step-by-step explanation:

If a figure is dilated by a factor of 6 the area of the figure will change by a factor of?

Answers

The figure will change by factor of 6
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