A landscaping company placed two orders with a nursery. The first order was for 13 shrubs and 4 trees and totaled 487. The second order was for 6 scrubs and 2 trees,and totaled 232. The bills do not list the per-item price. What were the costs of one shrub of one tree?

Answers

Answer 1

Answer:

Cost of shrubs = 23

Cost of tree = 47

Step-by-step explanation:

Let

Cost of shrubs = x

Cost of tree = y

13x + 4y = 487 (1)

6x + 2y = 232 (2)

Multiply (2) by 2

12x + 4y = 464 (3)

13x + 4y = 487 (1)

Subtract (3) from (1)

13x - 12x = 487 - 464

x = 23

Substitute x = 23 into (2)

6x + 2y = 232 (2)

6(23) + 2y = 232

138 + 2y = 232

2y = 232 - 138

2y = 94

y = 94/2

= 47

y = 47


Related Questions

Write an expression using an exponent to represent the
amount of money Adrian will have saved by month 4.

Answers

Answer: 4 to the power of 4

Step-by-step explanation: Adrian started of with $4 and by month 4 he will have 256. 4•4•4•4=256

Identifying Congruent Triangles
Find the measure of The missing angles

Answers

The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

For finding m∠1,

Here m∠2 = 90° as per the figure it is the right angle.

m∠1 + 40° +  m∠2 = 180°

m∠1 + 40° +  90° = 180°

m∠1 = 50°

For finding m∠3,

m∠2 + m∠3 +  30° = 180°

90° +  m∠3 +  30° = 180°

m∠3 = 60°

For finding m∠4 and m∠5

We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°

For finding m∠6 and m∠7

m∠6 + m∠7 +  20° = 180°

60° + m∠7 +  20° = 180°

m∠7 = 100°

Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

Learn more about congruent triangles here:

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The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

For finding m∠1,

Here m∠2 = 90° as per the figure it is the right angle.

m∠1 + 40° +  m∠2 = 180°

m∠1 + 40° +  90° = 180°

m∠1 = 50°

For finding m∠3,

m∠2 + m∠3 +  30° = 180°

90° +  m∠3 +  30° = 180°

m∠3 = 60°

For finding m∠4 and m∠5

We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°

For finding m∠6 and m∠7

m∠6 + m∠7 +  20° = 180°

60° + m∠7 +  20° = 180°

m∠7 = 100°

Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

Learn more about congruent triangles here:

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What is 160.5cm to feet​

Answers

Answer:

5.265748

Step-by-step explanation:

i did a cm to feet calcu-lator

have good day

The correct answer is 4 feet 17 inches is 160.5 c.m.

How to convert c.m. to feet?

The process to convert cm to feet is simple. 1 cm. is equal to 0.025 feet. So you must multiple the unit by 0.025.

Given:

1 feet = 38.48 cm.

1 cm. = 0.025 feet.

160.5 cm = (0.025/1) * 160.5

160.5 cm = 4.1709 feet  

4.1709 feet  

4.1709 feet  = 4 feet + 1709 inches.

We can 4.1709 feet which is equal to 4 feet 17 inches.

Therefore, 160.5 cm is equal to  4 feet 17 inches.

Learn more about c. m.  to feet here:

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Evan ran for 28 minutes. Seth ran for 'y' minutes. Evan ran twice as long as Seth. How long did Seth run?

A 28 minutes
B 56 minutes
C 14 minutes
D 30 minutes​

Answers

Answer:

14 just divide 28 ÷ 2.....

14 just divided 28 by 2

Katie runs from her house, east 5 blocks, south 3 blocks, west 5 blocks, and north 4 blocks before walking back home. Regarding her jog only: Her total time it takes her 35 minutes. What is her velocity in mi/h and m/s?

Answers

Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question,

Katie runs from her house, east 5 blocks, south 3 blocks, west 5 blocks, and north 4 blocks before walking back home. Regarding her jog only: Her total time it takes her 35 minutes. If city block is about 0.5 miles (0.8 km), what is her velocity in mi/h and m/s?

Katie runs from her house, East 5 blocks, South 3 blocks, West 5 blocks and North 4 blocks.

Since, velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]

Displacement of Katie from initial position = (3 + 3) blocks

                                                                       = 6 blocks

Since, each block measure 0.5 miles,

Displacement = 6 × 0.5

                       = 3 miles

Time taken to cover the distance = 35 minutes ≈ 0.583 hours

Therefore, velocity of Katie = [tex]\frac{3}{0.583}[/tex]

                                              = 5.15 miles per hour towards South

Displacement (in m) = 6 × 0.8

                                   = 4.8 km

                                   ≈ 4800 m

Velocity (in m per hour) = [tex]\frac{4800}{0.583}[/tex]

                                         = 8233.27 m per hour towards South

What is the value of (u-t)(u^2-t^2)?​

Answers

Answer:

20

Step-by-step explanation:

u-t = 2

u+t= 5

(u-t) (u²-t²)

(u-t) (u-t) (u+t) (a²-b²= (a+b) (a-b))

put the values

(2)(2)(5)

=20

Find the slope of the line.
Plz, I need help!

Answers

Answer:

The slope of this line is

[tex] \frac{1}{2} [/tex]

Alright, so to find the slope of a line from a graph, we would use the formula m = Rise/Run.
So, in order to do this, we would just take two points on the graph and see how many units we have to go up which will be our Rise and then how many units we have to go across which will be our run.
So, for example, let’s the the coordinates(-6,1) and (-4,2)
So, we will start at (-6,1) and we need to get to (-4,2).
To do this. We are going to go up 1 unit which is our Rise and then, we are going to go over to the right 2 units which is our run.
So, the slope of this line is M = 1/2.

The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

Answers

Answer:

a) The estimates for the solutions of [tex]4\cdot x^{2}-4\cdot x -1 = 0[/tex] are [tex]x_{1}\approx -0.25[/tex] and [tex]x_{2} \approx 1.25[/tex].

b) The estimates for the solutions of [tex]4\cdot x^{2}-4\cdot x -1 = 2[/tex] are [tex]x_{1}\approx -0.5[/tex] and [tex]x_{2} \approx 1.5[/tex]

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial [tex]y = 4\cdot x^{2}-4\cdot x -1[/tex], where [tex]x[/tex] is related to the horizontal axis of the Cartesian plane, whereas [tex]y[/tex] is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) [tex]4\cdot x^{2}-4\cdot x -1 = 0[/tex]

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

[tex]x_{1}\approx -0.25[/tex], [tex]x_{2} \approx 1.25[/tex]

b) [tex]4\cdot x^{2}-4\cdot x -1 = 2[/tex]

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

[tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex]

please help me i will really appreciate it .

Answers

9514 1404 393

Answer:

  slope = 2

Step-by-step explanation:

See the attachment for the markup.

It is usually convenient to choose places where the graph crosses grid intersections. Here, the graph crosses the x- and y-axes at integer values, so those points could be used, for example. We chose points away from the axes so that the rise and run lines could be seen more easily.

The graph has a rise/run of ...

  slope = rise/run = 2/1 = 2

The slope of the line is 2.

Bronwyn walks one lap of an oval at 2.5 km/h and then jogs another eight laps of the
oval at 5 km/h. If it takes her 30 minutes in total, how long in metres is each lap?

Answers

This is the answer to your question

A number h added to -3 is at most 3.4

Answers

As an expression h+-3=3.4
As an equation 6.4+-3=3.4

Please help hawjwjrjshfhsjsjsjakskdkskdkdid

Answers

9514 1404 393

Answer:

  3 1/4

Step-by-step explanation:

  [tex]\dfrac{3}{4}+\left(\dfrac{1}{3}\div\dfrac{1}{6}\right)-\left(-\dfrac{1}{2}\right)\\\\=\dfrac{3}{4}+\left(\dfrac{2}{6}\div\dfrac{1}{6}\right)+\dfrac{1}{2}\\\\=\dfrac{3}{4}+\dfrac{2}{1}+\dfrac{2}{4}\\\\=2+\dfrac{5}{4}=2+1\dfrac{1}{4}\\\\=\boxed{3\dfrac{1}{4}}[/tex]

Explain the Pythagorean Theorem and triples using the side lengths 3,4,5.

Answers

Answer:

pythagorean theorem is a^2+B^2=c^2

plug in (3)^2+(4)^2=(5)^2

9+16=25

ANSWER PLEASE!

295 times what times what ewuals 3496?

Answers

Answer:

295X12

Step-by-step explanation:

GOOD LUCK

PLEASE IM ALMOST DONE I JUST NEED A COUPLE MORE! PLEASE HELP​

Answers

I believe the answer is d

Answer:

your answer is b

Step-by-step explanation:

that dotted line means that it is greater than or equal to, but it depends on where the shaded area is to determine if it is greater than or equal to or less than or equal to. Since the dotted line is on the left of the dotted line, it is x is less than or equal to -1.

HTH!!

Solve:
8x-5y=11 4x-3y=5

Answers

Answer:

y is 1 and x is 2

Step-by-step explanation:

please mark me as brainliest!!<3

not going to give away how much points im giving because le point theifs might come but please assist me.

((B.TW the horizantal line is always labeled offense

Answers

Answer:

Its the First One

Step-by-step explanation:

For every 2 offense cards, he owns 4 defense cards. The first graph is correct.

Brainliest are appreciated :)

What can you say about the two figures

A.The two figures are congruent but not similar.


B.The two figures are not similar or congruent.


C.The two figures are similar and congruent.


D.The two figures are similar but not congruent.

Answers

The answer would be letter D!

hope this helps!! pls also mark me brainliest if you can :)) i am trying to level up. thank you!!

convert each part of the ratio to percentage
(a) 3:1
(b) 2:3:5
(c) 1:4
(d) 1:2:5

Answers

3:1 =300%
2:3:5 =50%
1:4 =25%
1:2:5 =62.5%

What is the y intercept of the following equation -2x-y =5

Answers

Answer:

y intercept=5

7.
Find the smallest non-zero whole number which
can be multiplied by 112 to give a cube number.

Answers

Answer:

28 x 784

Step-by-step explanation:

Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square. Similarly 28 should be multiplied to 784 to make it a perfect cube.

hope it helps, pls mark as brainliest and follow . thnx

which two expressions are equivalent?
A) 5x-5 and 5(x-5)
B) 5(x-5) and 5x-25
C) 5x-1 and 5(x-5)
D) 5x(x-1) and 5x-5
I need help asap thank you :)​

Answers

Answer:

b

Step-by-step explanation:

PLS HELP MEEEEEEEEEE :(

Answers

Answer: c

Step-by-step explanation:

A

It’s A because it’s a normal slope intercept form equation so if u graph it it’ll just be an infinite line showing all the solutions aka all the points on the line

this got me all confused ^^'
appreciate it if you help me....but if you cant thats ok! Have a great day either way^^​

Answers

Answer:

im confused as you are

Step-by-step explanation:

look so what it is saying its that theres 22 in total. 14 already have a sibling and 18 have a pet. 22-14 is 8 and 22-18 is 4. how are you supposed to find the rest of them who have both?

Answer:

Answer is 10

Step-by-step explanation:

Attatchment

Janna is buying a cell phone for her business. The regular price of the cell phone is $179. There is a 30% sale on the phone right now. What will be the final price of the phone?

Answers

Answer: $125 rounded or $125.3 not rounded

Step-by-step explanation:

Hey I need to survey 7 more people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:

Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?

Answers

Playing video games helps me if I have a rough time, I started around 2019. I play adventure type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)

hope this helps :))

Question 7
Simplify:
20x10,3
52576
Your simplified expression should take the form of a fraction.
Choose the best numerator
[ Select]
and the best denominator
[ Select]
for the simplified expression.
Nay+

Answers

Answer:

4x^5

  y³

Step-by-step explanation:

20x^10y³  = 4x^5·y^-3

 5x^5y^6

y^-3 = 1

          y³

Use the information below go answer the three questions.

In a certain city in France, they gain 2 minutes of daylight each day after the spring equinox (usually in March), but after the autumnal equinox (usually in September) they lose 2 minutes of daylight each day.

Answers

Answer:

Answer  for the first question is D

Step-by-step explanation:

^^^^^

These are from the same question

Answers

Answer:

a. 25%

b. 6.5%

c. 20%

Step-by-step explanation:

Plz help me get the right answer

Answers

Answer:

answerrrrrrrr

Step-by-step explanation:

-4x^2+10x+4

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