1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
quester [9]
3 years ago
12

A landscaping company placed two orders with a nursery. The first order was for 13 shrubs and 4 trees and totaled 487. The secon

d 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?
Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

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

You might be interested in
10.) Part A: What is the area, in square feet, of the kitchen?
just olya [345]

The computation shows that the area of the kitchen that's in the home in square feet is 50ft².

<h3>How to calculate the area?</h3>

It should be noted that an area of a rectangular space is calculated by multiplying the length by the width.

In this case, the area of the kitchen will be:

= 5ft × 10ft

= 50ft²

Learn more about area on:

brainly.com/question/25292087

4 0
2 years ago
3x^2+24x+9=0 in vertex form (completing the square)
Drupady [299]

Answer:

I tried everything and either I'm doing it wrong or you wrote this wrong

Step-by-step explanation:

6 0
3 years ago
I would love your guys help!! ASAP!!
sweet [91]

9514 1404 393

Answer:

  1. 3/2
  2. it is the ratio of oil to vinegar in the dressing
  3. y = 3/2x

Step-by-step explanation:

1. The table can be filled in like this:

  • (x, y)
  • (0, 0)
  • (2, 3)
  • (4, 6)
  • (6, 9)

The constant of proportionality is the ratio of y to x:

  k = 3/2

__

2. The meaning of the constant of proportionality is just what it is defined to mean: the ratio of oil to vinegar in the dressing.

__

3. The equation is y=kx, where k is the value in part 1:

  y = (3/2)x

6 0
3 years ago
I am stuck what is x in 20*x=3
-Dominant- [34]

Answer:

.15 would be the answer

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
What is the best approximation of the projection of (5,-1) onto (2,6)?
Hatshy [7]

Answer:

Hence, the scalar projection of \vec a onto \vec b= \frac{\sqrt{10} }{5}, and  the vector projection of \vec a onto \vec b = \frac{1}{5} \hat i+\frac{3}{5} \hat j.

Step-by-step explanation:

We have given two points  (5, -1) and (2, 6).

Let,     \vec a=5\hat {i}-\hat {j}  and  \vec b= 2\hat {i}+6\hat{j} .

and we have calculate the projection of \vec a onto \vec b.

Now,

For the calculation of projection, first we need to calculate the dot product of  \vec a  and \vec b.

\vec a.\vec b=(5\hat {i}-\hat{j}).(2\hat{i}+6\hat{j})

     =10-6

     =4

then, we have to calculate the magnitude of \vec b.

   \mid {\vec {b}}\mid = \sqrt{2^{2}+6^{2}  } = \sqrt{40} = 2\sqrt{10}.

Now, the scalar projection of \vec a onto \vec b = \frac{\vec a.\vec b}{\mid b\mid}

                                                                 = \frac{4}{2\sqrt{10} }\frac{2}{\sqrt{10} } \times\frac{\sqrt{10} }{\sqrt{10} } =\frac{2\sqrt{10} }{10} = \frac{\sqrt{10} }{5}

and the vector projection of \vec a onto \vec b = \frac{\vec a. \vec b}{\mid\vec b \mid^{2} } . \vec b

                                                               = \frac{4}{40} . (2\hat i+ 6\hat j)

                                                                = \frac{1}{5} \hat i+\frac{3}{5} \hat j

Hence, the scalar projection of \vec a onto \vec b= \frac{\sqrt{10} }{5}, and  the vector projection of \vec a onto \vec b = \frac{1}{5} \hat i+\frac{3}{5} \hat j.

                                                               

6 0
4 years ago
Other questions:
  • Katie and 5 friends split the bill evenly.The total cost was $75 How much will each person pay?
    6·1 answer
  • Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas
    9·1 answer
  • Four and one half minus two and seventh eighths
    8·2 answers
  • Write a sentence to compare the two points shown on the number line<br><br> -2.7 and 4.5
    9·1 answer
  • Dan invests £1000 into his bank account. He receives 10% per year simple interest. How much will Dan have after 2 years? Give yo
    7·1 answer
  • What is the Rate of change?
    8·1 answer
  • 2(x-4) = 5 (x+24) rewrite the equation in slope-intercept form
    11·1 answer
  • WILLLLLLL MARK BRAINLIEST IF GOTTEN RIGHT
    9·1 answer
  • 16.
    13·1 answer
  • On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negati
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!