Sydney and Elijah are working on creating a garden. They go to the store and buy 29 flower stems and spent $120.94. Elijah and Sydney only bought lilies and peonies, lilies cost $3.42 per stem and peonies cost $4.78 per stem. How many lily stems did they buy? How many peony stems did they buy?

Answers

Answer 1

Given:

Total number of flower they buy = 29 stems

Total cost = $120.94

Lilies cost = $3.42 per stem

Peonies cost = $4.78 per stem

To find:

The number of lily stems and peony stems did they buy.

Solution:

Let number of lily stems = x

Number of lily stems and peony stems = y

According to given information,

[tex]x+y=29[/tex]                           ...(i)

[tex]3.42x+4.78y=120.94[/tex]                ...(ii)

From (i) and (ii), we get

[tex]3.42x+4.78(29-x)=120.94[/tex]

[tex]3.42x+138.62-4.78x=120.94[/tex]

[tex]-1.36x=120.94-138.62[/tex]

[tex]-1.36x=-17.68[/tex]

Divide both sides by -1.36.

[tex]x=\dfrac{-17.68}{-1.36}[/tex]

[tex]x=13[/tex]

Put x=13 in (i).

[tex]13+y=29[/tex]

[tex]y=29-13[/tex]

[tex]y=16[/tex]

Therefore, number of lily stems is 13 and number of lily stems and peony stems is 16.


Related Questions

Evaluate f(x)=x+6 when x=−2,0, and 5.

f(−2)=

f(0)=

f(5)=

thank you

Answers

Answer:

f(-2) = 4

f(0) = 6

f(5) = 11

Step-by-step explanation:

You just need to plug in the different values of x into the equation

f(x)=x+6

When x = -2, then f(-2) = -2 + 6 = 4

When x = 0, then f(0) = 0 + 6 = 6

When x = 5, then f(5) = 5 + 6 = 11

f(5) = 11 , f(0) = 6 , f(-2) = 4

Given expression:

f(x) = x + 6

Find:

f(−2), f(0), f(5)

Computation:

f(x) = x + 6

When x = -2

f(-2) = -2 + 6

f(-2) = 4

When x = 0

f(0) = 0 + 6

f(0) = 6

When x = 5

f(5) = 5 + 6

f(5) = 11

Learn more:

https://brainly.com/question/1667837?referrer=searchResults

Which rational number is between -2 and -3

Answers

Answer:

There are infinite numbers between -2 and -3

Step-by-step explanation:

First off these numbers:

-2.1 or this number as any equivilant fraction.

-2.2 or this number as any equivilant fraction

-2.3 or this number as any equivilant fraction

-2.4 or this number as any equivilant fraction

-2.5 or this number as any equivilant fraction

-2.6 or this number as any equivilant fraction

-2.7 or this number as any equivilant fraction

-2.8 or this number as any equivilant fraction

-2.9 or this number as any equivilant fraction

any numbers that are reepeating like : -2.3333333333.....

and any numbers that end and don't go on forever without a single repeating number. -2.485485485485485485485485..... is not rationally repeating. -2.444444444444 is rational.

you decide to drive 75 miles to orlando for the weekend. if you drove at an average speed of 65 mph, the trip would take about ___ minutes. (*round to the nearest minute*)​

Answers

Answer:69 mins

Step-by-step explanation:

Well 1 hour 9 mins and 14 sec

The grades on a history midterm at Gardner Bullis are roughly symmetric with μ = 69 μ=69mu, equals, 69 and σ = 3.5 σ=3.5sigma, equals, 3, point, 5. Ishaan scored 65 6565 on the exam. Find the z-score for Ishaan's exam grade. Round to two decimal places.

Answers

Answer:

-1.14

Step-by-step explanation:

The given information in statement is

mean=μ=69

standard deviation=σ=3.5

Let X be the Ishaan's exam score

X=65

The Z score can be computed as

[tex]z=\frac{x-mean}{standard deviation}[/tex]

[tex]z=\frac{65-69}{3.5}[/tex]

z=-1.1429

z=-1.14 (rounded to two decimal places).

Thus, the computed z-score for Ishaan's exam grade is -1.14.

Answer:

-2.67

Step-by-step explanation:

khan academy


1) When is a relation a function? What are some
ways to tell if a relation is a function?

Answers

Answer:

How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

Step-by-step explanation:

How do I simplify the cube root of 875

Answers

Answer:

Step-by-step explanation:        divide by 5

         5   |875

           5 |175

           5 |35

          5    |7

5/5=0

Regular exercise can help a person lower their resting heart rate. Suppose an individual's resting heart rate, in beats per minute, is modeled by the function f(x) = –0.1x 3 + 0.6x 2 + 85 after x weeks of regular exercise. How many weeks of exercise are necessary to lower the individual's resting heart rate below 70 beats per minute?

Answers

Answer:

pienso que el ejercicio no debería de regularse por nada si no por tu condición física ama lo que miras en el espejo diariamente pero promete a esa persona que se puede ver mejor. y cuando lo haces con amor a ti mismo y también a tu pareja por qué no te vas a sentir espectacular.

Answer:

9 weeks

Step-by-step explanation:

edge

2x + 5 =12
What is x

Answers

Answer:

7/2

Step-by-step explanation:

2x=12-5....collectible like terms

2x=7

x=7/2...dividing both side by 2

Answer:

soln

we know that,

2x + 5 = 12

or, 2x = 12 - 5

or, 2x = 7

or, x = 7/2

x=7/2

Fitness For cardiovascular exercise, you do a combination of walking and running
for 60 minutes. During the 60 minutes, you end up running twice as much as
walking. Let x represent the number of minutes you ran and y represent the
number of minutes you walked. How many minutes did you run and how many
did you walk?

Answers

Answer:

You walked for 20 minutes and ran for 40 minutes

Step-by-step explanation:

System of Equations

Let x = the number of minutes you ran

y = the  number of minutes you walked

Walking and running takes a total of 60 minutes, thus:

[tex]x+y=60\qquad\qquad [1][/tex]

Running time is twice as much as walking time, thus:

[tex]x=2y\qquad\qquad [2][/tex]

Solve the system by substitution. Taking x from [2] and substitute in [1]:

2y+y=60

Simplifying:

3y=60

Solving:

y=60/3=20

Calculate x from [2]:

x=2*20=40

You walked for 20 minutes and ran for 40 minutes

What is the smallest number that can be added to 1923 to make the answer divisible by 9?

Answers

Answer:

3

Step-by-step explanation:

1926/9=214

1923+3=1926


The local furniture store pays $300 for a dining room table and sells it with a 40% markup.
What is the selling price of the dining room table?

Answers

Answer:

$420

Step-by-step explanation:

The wholesale price is $300 and the markup is 40% of that, or

0.40($300) = $120

and so the selling price is $300 + $120 = $420

An easier way to calculate this is to multiply $300 by (1.00 + 0.40), or (1.40), which again comes out to $420.

Answer:

$420!

Step-by-step explanation:

Graph the inequality
b-2>-9

Answers

Answer:

b>-7

Step-by-step explanation:

put an empty circle above -7

Then draw a line from the start of the circle to the right

Hope I helped! :)

In a class full of men and women, 4/9 of the class are women. What is the ratio of men to women in its simplest form?

Answers

Answer:

5:4

Step-by-step explanation:

Since 4/9 of the people are women, that leaves 5/9 as men.

what is the factor form of 2x^2- 7x -15​

Answers

Answer:

(2x - 7)

Step-by-step explanation:

Quick algebra question 15 points and will mark brainliest if correct

Answers

Answer:

I belive it would be c

Step-by-step explanation:

because if you read the question it says the lowest point altho they are equale it still makes sence to put c

Will Mark Brainliest if show work. FAST!! PLSS? 6x-4=4x-20 Solve for X

Answers

Answer:

x= -8

collect like term than divide both sides

6x-4x = -20+4

2x= -20+4

2x=-16

x= -8

Answer:

x = -8

Step-by-step explanation:

6x-4=4x-20 Solve for X

6x-4x = -20+4

2x = -16

x = -8

proof

6(-8) - 4 = 4(-8) - 20

-52=-52

What is the approximate distance between points (-7,2) and (11,-5)?

Answers

The approximate distance between points (-7,2) and (11,-5) is

=√[11-(-7)]²+[(-5-2)]²

=√(18)²+(-7)²

=√324+49

=√373

Are these two triangles congruent why or why not!!!!!!!!!???????? WORTH 24 POINTS AND I WILL GIVE YOU BRAINIEST!!!!!!1111

Answers

Answer:

not congruent

Step-by-step explanation:

These two triangles are not congruent because for two shapes to be congruent to each other, both needs to have same shape and size and clearly, we can see in this figure that both triangles although are the same shape, are different sizes so therefore these two triangles are not congruent. For example, the height of triangle ADE is 4 whereas the height of triangle CBA is 2.

Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)

Answers

Answer:

-16n-41

Step-by-step explanation:

Three consecutive integers have a sum of -21. Which equation can be used to find the value of the three numbers?
X+X+ X=-21
LS
X+ 2x + 3x = -21
O x+(x+1)+(x+2) = -21
Ox+(x+2)+(x+4)=-21
Mark this and return
Save and Exit
Next
Submit

Answers

Answer: x + (x + 1) + (x + 2) = -21

Step-by-step explanation:

At a basketball game, 21% were supporting the visiting team. If total number of people attending the game was 1300, how many people were supporters of the home team?​

Answers

Answer:

1300x0.21= 273 people

1300-273= 1027 people are supporters of the home team

Step-by-step explanation:

Answer:

1027

Step-by-step explanation:

21%  1300=273

1300-273=1027

Naoko is building a small art shed in the backyard. She created a blueprint of the floor plan with a scale of 1⁄4 in. To 1 ft. According to the blueprint, the art space has dimensions of 2 1/2 in. By 1 in. What are the dimensions of her art shed in feet?

Answers

Answer: 10 feet by 4feet

Step-by-step explanation:

From the question, we are informed that Naoko is building a small art shed in the backyard and that she created a blueprint of the floor plan with a scale of 1⁄4 in. to 1 ft. This means that 1 inch will be to 4 feet.

Since the art space has dimensions of 2 1/2 in. by 1 in. This will be:

= (2 1/2 × 4) by (1 × 4)

= 10 feet by 4 feet

The dimensions of her art shed in feet are 10 feet by 4 feet.

All sweaters at a store are on sale at a 20% discount. What would be the sale price of a sweater regularly priced $402 State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.​

Answers

Answer:

A sweater was on sale at 40% off the regular price

Step-by-step explanation:

what does x equal in 4(x-4)<16+2x

Answers

Answer:

x<16

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The branch of medicine dealing with the ear, nose, and throat. Also known as otolaryngology. ETYMOLOGY: ... Either that, or it's from Greek oto- (ear) + rhino- (nose) + laryngo- (larynx) + -logy (study).

Step-by-step explanation:

Answer:

I think to find the answer you would have to subtract the KL area from 75 and you might need to set up a proportion.

Have fun!

Help me asp 25 points and will mark

Answers

Answer:

Slope = - 2

Step-by-step explanation:

Given equation is,

y= - 2x

If x=1, y= -2.

If x=2, y= - 4

Take such few points and plot the graph (1, - 2), (2, - 4)........

Draw a straight line through the points.

For slope, compare the equation with slope intercept form, y=mx + c

Here, c=0 and m=-2

Hope this helps!!

What is the justification for each step in the solution of the equation 2/3x-1/3=2(x+2)

Answers

Answer:

-13/4

Step-by-step explanation:

A 32-cup container of disinfectant costs $19.20. What is the price per quart?

Answers

32 us cups = 8 us liquid quarts
Then $19.20 divided by 8 is 2.4

Answer: $2.4 per quart

Hope it works! Good luck!

Find the slope -16x=-6-2y

Answers

The answer is 8; m=8

Help and you get Brainliest plz!!!!!!!!
Find the intersection point for the following linear functions.

f(x) = 2x + 3
g(x) = -4x − 27

Answers

the intersection point would be (-5,-7)
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