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
Maslowich
3 years ago
7

Write and simplify an expression for the perimeter of each figure​

Mathematics
2 answers:
Nostrana [21]3 years ago
4 0

Answer:

20a - 2b - 1

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle, that is

perimeter = 9a - 4 + 7a + 3 + 4a - 2b ← collect like terms

                = (9a + 7a + 4a) - 2b + (- 4 + 3)

                = 20a - 2b - 1

kolbaska11 [484]3 years ago
3 0

The picture is a bit blurry but the perimeter of a shape is the lengths added.

(4a - 2b) + (7a + 3) + (9a - 4) = perimeter, I added the sides together

Combine like terms to get:

4a + 7a + 9a = 20a

-2b is left along becuase there are no other like terms

3 - 4 = -1

The perimeter is 20a - 2b - 1

You might be interested in
-1/5 of a number is n is at least 17
erica [24]
-1/5 * n ≤ 17

n ≥ -17/5 is the answer
7 0
3 years ago
One of the more famous anecdotes in the field of statistics is known as the "Lady Tasting Tea" and involves the renowned statist
mote1985 [20]

Answer:

n=\frac{0.3(1-0.3)}{(\frac{0.01}{1.96})^2}=8067.36  

And rounded up we have that n=8068

Step-by-step explanation:

The margin of error for the proportion interval is given by this:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

We want for this case a 95% of confidence desired, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for this case is ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

The estimated proportion for this case is \hat p=0.3. And replacing into equation (b) the values from part a we got:

n=\frac{0.3(1-0.3)}{(\frac{0.01}{1.96})^2}=8067.36  

And rounded up we have that n=8068

7 0
3 years ago
Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we
Allushta [10]

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours  

we know that

--------> inequality    

--------> inequality  

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

--------> inequality  

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N  

--------> inequality    

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N  

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

--------> inequality  

--------> inequality  

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N  

Let

------> see the attached figure N  

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

Prove algebraically

substitute the value of x and y in the inequalities

inequality  

------> is ok

inequality  

-------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

5 0
3 years ago
Read 2 more answers
Which number line represents the solution set for the inequality ? HELP PLEASE
irga5000 [103]

Step-by-step explanation:

if you need any explanation you can ask

7 0
2 years ago
Y = 3/2x + 5/4 −2x + 8y = −25
Andreyy89

Answer:

<h2>x = -347 1/2</h2>

Step-by-step explanation:

When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.

Step 1: Simplify by combining like terms

y = -x/2 + 5/4 + 8y = -25

Step 2: Substitute

y = -25

-25 = -x/2 + 5/4 + 8(-25)

-25 = -x/2 + 5/4 + -200

-25 = -x/2 - 198 3/4

Step 3: Answer

x = -347 1/2

Step 4: Check

y = 3/2x + 5/4 −2x + 8y = −25

-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)

-25 = -25✔️

Step 5: Verified Answer

x = -347 1/2

I'm always happy to help :)

3 0
3 years ago
Other questions:
  • I need to find x. <br> VADC ~= VCBA
    12·1 answer
  • I need help with this​
    6·1 answer
  • Can 3 be equivalent to 300
    10·1 answer
  • 2 1/2mph in 1/6 hour unit rate
    13·1 answer
  • Use the values in the table to determine the slope.
    13·2 answers
  • What is the area of the composite figure?
    14·1 answer
  • Graham is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is double
    13·1 answer
  • 4 a) Sebuah sekolah mengadakan lawatan sambil belajar ke Kuala Lumpur dengan membawa 44 orang penumpang termasuk seorang guru le
    11·1 answer
  • The 34% solution!
    12·1 answer
  • Which of the following points is in the solution set of y &lt; x^2 - 2x - 8?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!