Question 14

A company paid $391 for 15 bushes and 8 bonsai trees. They had to purchase 9 more bushes and 5 more bonsai trees for $241. What is the cost of each bush and bonsai tree? Enter your answers in the
boxes below.
Bushes:
Bonsai Tree:

Answers

Answer 1

Answer:

The cost of each bushes is $9.00

The cost of each bonsai trees is $32.00

Step-by-step explanation:

The given parameters are

The amount the company paid for 15 bushes and 8 bonsai trees = $391

The amount for which the company purchased 9 more bushes and 5 more bonsai trees = $241

Let x represent the cost of each bushes and let y represent the cost of each Bonsai Trees, we have;

15 × x + 8 × y = 391...(1)

9 × x + 5 × y = 241...(2)

We make y the subject of both equations to get;

For equation (1), we have;

15·x + 8·y = 391

15·x + 8·y = 391

8·y = 391 - 15·x

y = 391/8 - 15/8·x

For equation (2), we have;

9 × x + 5 × y = 241

5·y = 241 - 9·x

y = 241/5 - 9/5·x

Equating both equations, gives;

391/8 - 15/8·x = 241/5 - 9/5·x

391/8 - 241/5 = 15/8·x - 9/5·x = 0.075·x

0.675 = 0.075·x

x = 0.675/0.075 = 9

x = 9

Therefore, the cost of each bushes = x = $9.00

From, y = 241/5 - 9/5·x, we have;

y = 241/5 - 9/5×9 = 32

y = 32

Therefore, the cost of each bonsai trees = y = $32.00


Related Questions

Can someone please help me????? Please I'm not good with Geometry
In order to safely clear a hurdle, a track runner must jump the hurdles with an angle of 30°. Find the height of the hurdle and the horizontal distance traveled if the runner covers a distance of 5 feet

Answers

The hurdle and runner form a right triangle (see attached picture) such that

sin(30°) = h / (5 ft)

and

cos(30°) = x / (5 ft)

where h is the height of the hurdle and x is the horizontal distance from where the runner jumps to the hurdle. So

h = (5 ft) sin(30°) = 5/2 ft = 2.5 ft

x = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft

NEED HELP ASAP. (question in picture below)

Answers

Answer:

12

Step-by-step explanation:

bye

A telephone poll asked people whether they like playing golf. Of the 100 people polled,20 like playing golf. What percentage of the people like playing golf?

Answers

Given:

Of the 100 people polled, 20 like playing golf.

To find:

The percentage of the people who like playing golf.

Solution:

In the poll,

Total number people = 100

Who like playing golf = 20

Now, percentage of the people who like playing golf is

[tex]Required \%=\dfrac{\text{Number of people who like playing golf}}{\text{Total number people in poll}}\times 100[/tex]

[tex]Required \%=\dfrac{20}{100}\times 100[/tex]

[tex]Required \%=20[/tex]

Therefore, 20% of the people like playing golf.

Which equation below and value for x fits this model?

A)
2x = 30, x = 15

B)
2x = 6, x = 2

C)
2x = 6, x = 3

D)
x + x = 6, x = 1.5

Answers

Answer: I wanna say it's B

Step-by-step explanation: but I'm not completely sure.

Prove the theorem: In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. Given the facts RS ⊥ CD and AB || CD, drag and drop each reason next to the appropriate statement in order to prove the statement RS ⊥ AB.

Answers

Answer:

The theorem requiring proof;

A transversal perpendicular to one of two  parallel lines is also perpendicular to the other parallel line

The two column proof is as follows

Statement      [tex]{}[/tex]                                               Reason

RS ⊥ CD     [tex]{}[/tex]                                                   Given

AB ║ CD     [tex]{}[/tex]                                                  Given

The Slope of AB = The slope of CD    [tex]{}[/tex]       definition of parallel lines

The Slope of RS = -1/(The slope of CD)    [tex]{}[/tex] definition of perpendicular lines

The Slope of RS = -1/(The slope of AB)    [tex]{}[/tex] transitive property of equality

The Slope of RS = -1/(The slope of AB)    [tex]{}[/tex] definition of perpendicular lines

RS ⊥ AB

Step-by-step explanation:

Answersss please hurry I will give you Brainliest

Answers

Ans

B,D,F

Step-by-step explanation:

Y=5-x^2

Y=3x^2+1

Y=x^3

Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
Plz help me with this

Answers

Answer:

The function shown on the graph has a smaller rate of change but a higher starting point.

Step-by-step explanation:

In the 2008 election there were 28 blue states and 22 red states express the red and the blue states as fractions in the lowest terms of the total number of states and also as decimals.

Answers

11/14 is the simplified version of 22/28 and the decimal form is 0.785714286 i think that’s right

please help find equation in slope intercept form

Answers

y= -3x-2 because the like intersects the y axis at -2 and according to rise over tun the slope is -3/1 which is simplified to -3

Answer:

y= -3x-2

Step-by-step explanation:

1. Take any two points from the line

• (1, -5) (-2, 4)

2. Use the equation: y2-y1 / x2-x1 to find the slope

4- (-5) / -2-1

= 9/-3

= slope is -3

3. Find the y intercept

y= -2

What is the equation of this line?
A. y = 2x - 3
B. y = -1/2x - 3
C. y = -2x - 3
D. y = 1/2x - 3

Answers

Answer:

A. y = 2x - 3

Explaination:

It can't be negative because then the slope would be going downward from left to right, this line is going upwards. Also, the steepness of the slope proves it is a slope of 2 because a slope of 1/2 isn't very steep. You can also count 1 unit over and look how much the line changes to find the slope.

Answer:

A

Step-by-step explanation:

X intercept : (3/2 , 0)

Y intercept : (0 , -3)

Slope: m=2

Find the measure of angle 4

Answers

Answer:

i feel this is an incomplete picture

Step-by-step explanation:

Answer: 38 degrees.

Reasoning: The triangle on the left is an isosceles trainable. Meaning two of the angles are the same. That means that #1 is 62. A single triangle is equal to 180 degrees so 62+62=124 and 180-124=56 which means #2 is 56. Now, 2 & 3 are supplemental so added up they equal 180. So 180-56=124. #3 is 124 degrees. Now to figure out angle 4 all you have to do is add up 124+18=142 and take that from 180. 180-142=38. Angle #4 is 38 degrees.

I need help on this assignment

Answers

Answer:

1.___ b

2.___c

3.___a

4.___d

Step-by-step explanation:

5% of x is =8

5/100 * X= 8

x=8*100/5=800/5=160

12% of x =5

x=41.666 approximately

8% of x=12

x=12*100/8=1200/8=150

5% of x= 12

x=12*100/5=1200/5=240

Evaluate 1/3b + 1/5 when b=1/5

Answers

Answer:

4/15.

Step-by-step explanation:

1/3(1/5) + 1/5

1/15 + 1/5

1/15 + 3/15

4/15

Answer:

4/15

Step-by-step explanation:

[tex]( \frac{1}{3} \times \frac{1}{5} ) + \frac{1}{5} \\ \frac{1}{15} + \frac{1}{5} \\ \frac{1}{5} + \frac{3}{13} \\ \frac{1 + 3}{15} = \frac{4}{15} [/tex]

wsdbfmnsedbznvmsdbn jkcmendz jvmdsbn xzjkv,dmzb cnxrfjklserjdzcfilksdjcfiovk,dsjnifkvsjdxioglmhsrndxjkflgbnesjkdxhbnk

Answers

Answer:

0.149> 0.128

Step-by-step explanation:

Hope this helps!

Kelly is using a compass and straightedge to perform the Geometric construction below.
Which of the following best describes the figure Kelly is constructing?

Answers

Answer:

The answer is A

Step-by-step explanation:

The line is perpendicular to RS through S

There are several constructions that can be done with the straightedge and the compass.

The statement that describes the figure Kelly is constructing is: (c) a line parallel to RS through Q

From the figure, we have the following observations

Two arcs intersect on line RSAnother set of two arcs intersect on the same level as point Q.

When a line is drawn from point Q through the intersection of these lines, the line would be parallel to line RS.

Hence. we can conclude that:

Kelly is constructing (c) a line parallel to RS through Q

Read more about constructions at:

https://brainly.com/question/24706231

can u rewrite these expressions s for me plz!! ​

Answers

A-8x+12
B-6(2x+3)
C-5(2+3x)

An employee’s hourly raise went up from $11 per hour to $16 per hour. What is the rate of increase? Round to the nearest percentage.

Answers

Answer:

45%

Step-by-step explanation:

Step one:

given data

intial pay= $11 per hour

final pay= $16 per hour

Required

% increase

Step two:

%increase= final-initial/initial*100

substitute

%increase= 16-11/11*100

%increase=5/11*100

%increase= 0.45*100

%increase= 45%

Hence the percent raise is 45%

Jones Middle School is taking a field trip to Baltimore, Maryland. Six buses will hold 150 students. How many buses will be needed if there are 283 students going on the field trip?
9 buses
10 buses
11 buses
12 buses

Answers

i think the answer is 11 buses
Answer: 12 buses

Explanation* 150 students/6 buses = 25 kids per bus; 25 x 11 = 275 so the answer has to be 12


Kay sees a jacket in New York costing $170
She knows the same jacket costs £132 in London.
Using the exchange rate £1 = $1.30, work out in which place the jacket is cheaper
and by how much

Answers

Answer:

its cheaper in new York by $1.60

Step-by-step explanation:

132 x 1.30 = 171.60

if the jacket is $170 in new York it is cheaper

20 Points + Brainlest
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-x+5y=-7
-3x +14y=-18

Answers

Answer:

One solution:(-8,-3)

Step-by-step explanation:

 x = 5y + 7

Plug this in for variable  x  in equation [2]

  [2]    -3•(5y+7) + 14y = -18

  [2]     - y = 3

Solve equation [2] for the variable  y  

  [2]    y = - 3  

By now we know this much :

   x = 5y+7

   y = -3

Use the  y  value to solve for  x  

   x = 5(-3)+7 = -8  

Solution :

{x,y} = {-8,-3}

Hope this helps plz mark brainliest if correct :D

What is the main purpose of informational writing?

To compare and contrast
To present popular views on a topic
To express opinions without evidence
To inform readers about a topic using facts and details

Answers

Answer:

The correct answer is:

"To inform readers about a topic using facts and details"

Step-by-step explanation:

Let us define informational writing first.

Informational writing is like communication writing which is used to convey something using facts and figures. Whatever is stated in an informational writing, it is supported by related facts and proofs.

Hence,

The correct answer is:

"To inform readers about a topic using facts and details"


The Bimini High School rugby team won the state championship in 2014. A
record of their wins and losses is shown, in which the relationship between wins
and losses is sorted by number of points scored.
> 40 points <40 points Total
Win 18
11
29
Loss 2
9
11
Total 20
20
40
Which of the following is the best evidence of an association between scoring
40 points or more and the rugby team winning a game?

Answers

Answer:

The Bimini team won a high proportion of games when scoring 40 points or more (18/20) compared with when they scored less than 40 points (11/20).

The best evidence is given when scoring 40 points or more in a game, the Bimini team won more games (18/20) than when scoring fewer than 40 points (11/20).

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The rugby squad from Bimini High School won the state title that year. A record of their wins and losses is shown, in which the relationship between wins and losses is sorted by the number of points scored. From observation, The best evidence is given when scoring 40 points or more in a game, the Bimini team won more games (18/20) than when scoring fewer than 40 points (11/20).

Thus, the best evidence is given when scoring 40 points or more in a game, the Bimini team won more games (18/20) than when scoring fewer than 40 points (11/20).

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ2

keith is an elevator operator in a big hotel. A(t)A(t)A, left parenthesis, t, right parenthesis models Keith's altitude (in meters relative to the ground) as a function of time (in minutes).Match each statement with the feature of the graph that most closely corresponds to it.

Answers

Answer:

Step-by-step explanation:

A relative maximum (or minimum) point is a point that is higher (or lower) than all of the points surrounding it.

This graph has a relative minimum point where A(t)=-12A(t)=−12A, left parenthesis, t, right parenthesis, equals, minus, 12, which means that Keith's lowest altitude was \textit{12}12start text, 12, end text meters below the ground.

A positive (or negative) interval is a domain interval over which the function values are all positive (or negative).

Since A(t)>0A(t)>0A, left parenthesis, t, right parenthesis, is greater than, 0 over the interval [6.5,10][6.5,10]open bracket, 6, point, 5, comma, 10, close bracket, this is a positive interval. This means that between the \textit{6.5}6.5start text, 6, point, 5, end text- and \textit{10}10start text, 10, end text-minute marks, Keith was above the ground.

An increasing (or decreasing) interval is a domain interval over which the function values increase (or decrease) as the input variable increases.

In this graph, the interval, 5, point, 5, comma, 8, close bracket is an increasing interval. This means that between the   end text-minute marks, the elevator was going up.

Graph y = -x + 6 On A Graph

Answers

Answer:

Step-by-step explanation:

Which relations are functions? Select all that apply.

Answers

Answer:

A and C

Step-by-step explanation:

B has a domain connected to many other ranges which makes a relationship but confuses the whole function making it incorrect.

For answer D, the x coordinates 1 and 3 both have two y coordinates. That again makes a relationship but confuses the function making that answer incorrect.

In answer A, no domain is repeated in any of the points making it a function.

In answer C, again no domains are paired with more than one range making it a function. That why A and C are the answers

a 32-ounce package of snack mix is 24 percent pretzels. how many ounces are pretzels

Answers

If 24 percent of the snack mix is pretzel, we simply need to multiply the total number of ounces by 0.24.

0.24 x 32 = 7.68

7.68 ounces of the snack mix will be pretzels.

Answer:

answer is D.

you multiply 32 x .24 = 7.68oz

Step-by-step explanation:

the way you solve this question

32 x .24%= 7.68 oz

make sure you place your decimal place to spaces to your left!

hope this helps!

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct

Answers

Answer:

2.5cup of milk

Step-by-step explanation:

Step one:

we are told that the ratio of milk to flour is 1.5cups to 3 cups

in other words, to prepare cake we need 1.5 cup of milk and 3 cups of flour

if we use 5 cups of flour we can balance up using the relation below

      1.5cups of milk require 3 cups of flour

      x cups of milk require 5 cups of flour

cross multiply we have

x=1.5*5/3

x=7.5/3

x=2.5cup of milk

Find the slope of the line that passes through each pair of points

Answers

Answer:

-3

Step-by-step explanation:

Start at the y-intercept which is 1, and go down however many times it would take, for you to go across and get to a point. Basically to find the slope is rise over run. In this case you would "rise" -3 and run 1. I haven't done this in awhile. If its wrong, I apologize. Have a good night.

Which of the following statements are true?
Select all that apply.
A. 6 is neither a perfect square nor a perfect cube.
B. 16 is a perfect square.
C. 27 is a perfect cube.
OD. 1,331 is both a perfect square and a perfect cube.
E. 9 is a perfect cube.

Answers

Answer:

A, B, and C are all true.

Step-by-step explanation:

A. 6 is neither a perfect square nor a perfect cube.   True

B. 16 is a perfect square.   True [tex]4^{2}[/tex]

C. 27 is a perfect cube.   True [tex]3^{3}[/tex]

OD. 1,331 is both a perfect square and a perfect cube.   False

E. 9 is a perfect cube.  False

WILL MARK BRAINLIEST
PLS DONT SCAM >:(

Answers

Answer:

A

Step-by-step explanation:

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