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
Snowcat [4.5K]
3 years ago
6

Landry is building a rectangular flower garden. He wants the garden to be 3 feet longer than it is wide. He wants to buy a birdb

ath to put in the flower bed and after adding it he wants to have 35 square feet of space for planting. The cost of the birdbath will be $18 per square foot of the area of its base. He also needs to buy soil to cover the entire flower bed, including the space where the birdbath will be. The soil will cost $5 per square foot. He plans to spend a total of $150 on the soil and the birdbath. If x represents the width of the flower bed and y represents the area of the base of the birdbath, then which of the following systems of equations can be used to determine the length and width of the flower bed and the area of the base of the birdbath?
Mathematics
1 answer:
lana [24]3 years ago
7 0

Answer:

Step-by-step explanation:

To create a system of equations, write an equation to model each condition that must be satisfied in the given situation.

It is given that x represents the width of the flower bed and that y represents the area of the base of the birdbath.

Write an equation to represent the condition regarding the planting area in the flower bed. It is given that there is 35 square feet of planting area. The flower bed is 3 feet longer than the width.

x(x+3) - y = 35

Write an equation to represent the condition regarding the cost of the soil and the birdbath. The question gives that the soil will cost $5 per square foot and the birdbath will cost $18 per square foot of the base.

5x(x+3)+18y=150

Combining both of the equations gives the following system of equations.

x(x+3)-y=35

5x(x+3)+18y=150

You might be interested in
What point is 4 points from m
Karo-lina-s [1.5K]

Answer:

A

Step-by-step explanation:

Have a nice day :)

6 0
3 years ago
Read 2 more answers
A level maths factor theorem <br>help in part (b) please​
Rina8888 [55]

Given polynomial f(x)=4 x^{3}-12 x^{2}+2 x-6.

(a) To show that (x – 3) is a factor of f(x).

Factor theorem:

<em>A polynomial f(x) has a factor of (x – a), if and only if f(a) = 0.</em>

f(x)=4 x^{3}-12 x^{2}+2 x-6

f(3)=4 (3)^{3}-12 (3)^{2}+2 (3)-6

       =4(27)-12(9)+6-6

       =108-108

       = 0

f(3) = 0

Hence (x – 3) is a factor of f(x).

(b) f(x)=0

4 x^{3}-12 x^{2}+2 x-6=0

Here 4x^2 is common in first 2 terms and 2 is common in next 2 terms.

4x^2(x-3 )+2 (x-3)=0

Now, (x – 3) is common in both terms.

(x-3)(4x^2+2)=0

(x-3)=0 and (4x^2+2)=0

x = 3 and 4x^2+2=0

3 is the real root.

using quadratic formula solve 4x^2+2=0 and find the other roots.

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

$x=\frac{-0 \pm \sqrt{0^{2}-4 (4) (2)}}{2 (4)}

$x=\pm\frac{\sqrt{-32}}{8}

$x=\pm\frac{4\sqrt{2}i}{8}

$x=\pm\frac{\sqrt{2}i}{2}

These are complex roots.

Hence 3 is the only real root of the equation f(x) = 0.

8 0
4 years ago
Read 2 more answers
A student measures the diameter of a small cylindrical object and gets the following readings: 4.32, 4.35, 4.31, 4.36, 4.37, 4.3
Keith_Richards [23]

Answer:

The average of the diameter readings is 4.34 cm.

Step-by-step explanation:

We  are given the following data set(cm):

4.32, 4.35, 4.31, 4.36, 4.37, 4.34

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{26.05}{6} = 4.34167 \approx 4.34

Thus, the average of the diameter readings is 4.34 cm.

8 0
4 years ago
What is the solution to the equation? 18y - 30 - 7y = 25
kirza4 [7]

Answer:

Step-by-step explanation:

18y -30 -7y =25

solution

18y -30 -7y =25

   so we take like terms that is unknown to unknown whole number to whole number or you can put it this way to remember(brothers go to brothers are the ones with an alphabet , sisters go to sisters they are the ones without an alphabet  numbers)......okay lets continue

 18y -7y=25+30

when a negative is crossing an equal sign it turns positive and vice versa

so lets solve

11y=55

the one with the unknown will divide

11y/11=y

you cant say 1y its wrong in maths you can say in another subject but not maths....okay...so we say y the 1 is invisible but you can say 2y ,3y etc

Then 55/11=5

so y=5

Thats the correct answer....

4 0
3 years ago
20 points plus that brain thing
madam [21]

Answer:

\huge\boxed{\sf \$ \ 26.24}

Step-by-step explanation:

Each side of the squared painting = 41 inches

A square has 4 sides. So,

4 sides of the square painting = 4(41) inches

                                                  = 164 inches

\rule[225]{225}{2}

<u>The shop charges:</u>

1 inches = $ 0.16

Multiply both sides by 164

164 inches = $ 0.16 × 164

164 inches = $ 26.24

\rule[225]{225}{2}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
5 0
3 years ago
Other questions:
  • Let p and q be the propositions "Swimming at the New Jersey shore is allowed" and "Sharks have been spotted near the shore," res
    8·1 answer
  • Solve the equation.<br><br> a² = 0.16<br><br> Enter your answer in the box.<br> a = ​ ±
    10·2 answers
  • What is the answer :((
    11·1 answer
  • CAN SOMEONE PLEASE HELP ME?
    11·2 answers
  • Need help with square roots​
    5·1 answer
  • What is the discount on a leather jacket that costs $298 discounted at 15%
    8·2 answers
  • Find the slope y= 4 - 5x
    11·2 answers
  • NEED HELP ASAP!!!! RIGHT NOW
    13·2 answers
  • Whats 6x + 7y - 5 when x = 2 and y = 3
    12·2 answers
  • 98.92 as a decimal to 2 places
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!