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
shusha [124]
3 years ago
6

11. The student government is selling flowers for homecoming. The project costs them $20 for advertising and

Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0

Answer:

32

Step-by-step explanation:

  • 3(n+20) = 3(4+20) = 3(24) = 72
  • 3n+20 = 3(4)+20= 12+20=32

If n represents the amount of flowers they sold, then the correct answer should be 32. The cost for each flower they sold would be 3 x 4 and then add $20 for advertising.

You might be interested in
Choose an equivalent system of equations to the following system:
andrezito [222]

Answer:

B.  6Fx + 6Gy = 6H

    Qx + Ry = S

Step-by-step explanation:

Equivalent equations can be created many ways. One of the simplest is to multiply both sides of the equation by the same number. In the answer above, the first equation has been multiplied by 6. Nothing has been done to the second equation.

_____

<em>Comments on other choices</em>

A: some terms have been multiplied by 6. This changes the equation(s) so they are no longer equivalent to the ones you started with.

B: the correct choice

C: see A.

D: the first equation has been multiplied by 6, so that is equivalent to the original. The second equation has the sign of one of the terms changed, so it is now a different equation.

3 0
3 years ago
Read 2 more answers
18. What is the slope of the linear function associated with the sequence {12, 9, 6, 3} for x = 1, 2, 3, 4?
Aloiza [94]

Answer:

D) -3

Step-by-step explanation:

Slope of a linear function:

The slope of a linear function is the amount by which y changes when x increases by 1.

In this question:

When x = 1, y = 12

When x = 2, y = 9

When x = 3, y = 6

When x = 4, y = 3

So each time x increases by 1, y decreases by 3, which means that the slope is -3, and the answer is given by option D.

4 0
3 years ago
PROMPT:
pentagon [3]
For this answer let's pick the Fish Pond.

QUESTION: <span>What do you know? 
We know that the total area of the rectangular patio is 24 square feet. The rectangular fish pond that we want to build should have the length that is twice the width. We also need a 1-foot border around the pond.

The total area of the patio is represented by </span>2 x^{2} +6x+4 where x is the width of the fish pond.

QUESTION: What do you want to find out? 
We can answer this question by examining what we have been given (we have answered this in the previous question). Since we only have one variable in the equation and this is the width of the fish pond, then this is the only thing that we need to find out. The length will just follow after the width is solved. (Basically, we are concerned with the dimensions of our project.)

QUESTION: What kind of answer do you expect? 
Since we are only expecting to solve for the dimensions, then we should expect two numbers which would represent the width and the length. Through the polynomial, we can get the width of our project, then the length would just be twice our answer for the width.

1. To set our polynomial equation equal to the total area of our patio, we just write the equation on the left side and the total area of the patio on the right. We recall the equation that we gave in the first question above as well as the patio's area.

2x^{2} +6x+4=24

2. For this item, we just simply negate the constant term on the right side by subtracting the same number to both sides. Since our constant term is 24, we subtract 24 from the polynomial as well as the term on the right side.

2x^{2} +6x+4-24=24-24
2x^{2} +6x-20=0

3. In this item we are only tasked to find the GCF of the trinomial and factor it out of the left side of the equation. The GCF just means the common number or variable in all terms. Upon examining, we can see that the only common factor of the terms is 2 (since all terms are divisible by 2), thus this will be the GCF and we will factor this one out.

2(x^{2} +3x-10)=0

4. To factor the polynomial completely, we just figure out the possible factors of the quadratic equation. You can do this by trying out all factors of -10 that will have a sum of 3 (since -10 is the constant and 3 is the coefficient of x). Upon examining you should end up with:

2(x+5)(x-2)=0 (Notice that 5 and -2 are factors of -10 and their sum is 3).

5. The rule stated on this item just means that we can equate each individual factor to zero (except for the constant term) to find out the possible values of x. That means that we can solve for x by using the equations x+5=0 and x-2=0.

x+5=0
x=-5

x-2=0
x=2

6. For this item, we just do simple substitutions to the equation 2x^{2} +6x-20=0 to verify whether the values we got in question 5 is really a solution to the equation. The values of x that we got are -5 and 2 so we substitute these one at a time.

2(-5)^{2} +6(-5)-20=0
50-30-20=0
0=0

2(2)^{2} +6(2)-20=0
8+12-20=0
0=0

Both values of x make the left side equal to zero therefore both are solutions to the equation.

7. We can tell the dimensions of the project by looking at the values that we got for x, since we assumed x to be the width of our project. The fact that we got two values for x won't be a problem since one of these values is negative. There is no negative measurement/width so we can just ignore this negative value (-5). Thus, the width for our project would be 2 and the length would be twice this value which is 4.

Width = 2 feet
Length = 4 feet

8. For this item, we just illustrate the dimensions of our project and add a 1-foot border (as we are told initially). You can see this illustration in the picture I attached below. 

Since we have an extra 1 foot in every side, that means we need to add 2 feet to both the width and the length. Therefore, our width now is 4 while our length is 6.

Multiplying these numbers to verify the area, we get 24 square feet which is exactly the area of the patio.

6 0
3 years ago
Read 2 more answers
What is -10=k+6 please show work thank you
Tresset [83]

Answer:

k=-16

Step-by-step explanation:

-10=k+6

subtract 6 both both sides to isolate the variable

-16=k

Happy Holidays!!

7 0
3 years ago
Read 2 more answers
William is saving up to buy a new phone. He already has $23 and can save
Ipatiy [6.2K]

Step-by-step explanation:

current Amount of money 23

8x10=80

80+23=103

William will have 103$ after 10 weeks

4 0
2 years ago
Other questions:
  • A student studying acidity of juices did a taste test and determined that the orange juice was the sweetest juice and the lemon
    8·2 answers
  • Find the remainder when 51^203 is divided by 7 (using remainder theorem).
    14·1 answer
  • Help me I don’t understand please
    7·1 answer
  • Angelique is building a model of her home. Her house is 24 feet tall, and the home in her model is 8 inches tall. She wants to a
    9·2 answers
  • Please make sure that it's the correct answer!
    12·2 answers
  • The length of a rectangle is 98 inches. The ratio of the length to the width is 4:3. Find the width.
    11·2 answers
  • A fair number cube is rolled. What are the odds in favor of rolling a <br> 6
    5·1 answer
  • Which set of numbers does NOT contain 75?
    11·2 answers
  • The length of a football playing field is 100 yards between the opposing goal lines. What is the length of the football field in
    13·1 answer
  • Help asap!!!<br> i cant understand :,(<br> need answer !!!!!!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!