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
iragen [17]
3 years ago
10

In yoga class, all of the students are lined up according to height. Andy notices that the number of students who are taller tha

n he is one-fourth the number of students who are shorter than he. Violetta notices that there are 3 times as many students who are taller than she than students who are shorter than she. How many students are in the class if there are fewer than 40 students?
Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0

Answer:

The number of students in the class is 21

Step-by-step explanation:

The first thing to consider is Andy.

Let x be the number of students who are taller than Andy.

Then the number of the rest students, excluding Andy, is 4x, according to the condition.

So, the total number of students in the class is (x + 4x + 1), or 5x+1.

Next, consider Violetta.

Let y be the number of students who are shorter than Violetta.

Then the number of the rest students, excluding her, is 3y, according to the condition.

So, the total number of students in the class is (y + 3y + 1), or 4y+1.

We see, that the number of students in the class MINUS one is a multiple of 4 (four) and of 5 (five), at the same time.

So, the number of students in the class is EITHER 20+1 = 21 OR 40+1 = 41, if consider couple of minimal values.

But 41 is excluded by the condition, leaving a UNIQUE ANSWER:

The number of students in the class is 21.

You might be interested in
HELPPPPPPPPPPPPPPPPPPP!!!!!!!!!!
raketka [301]
Answer is:
x ≥ -18/5

2+4/9x ≥ 4+x
4/9x-x ≥4-2
4/9x-9/9x ≥2
- 5/9x ≥2 multiple by 9
-5x ≥2•9
-5x ≥18
x ≥ -5/18
6 0
3 years ago
Read 2 more answers
A real estate company wants to build a parking lot along the side of one of its buildings using 800 feet of fence. If the side a
Elden [556K]

Answer:

80,00ft^{2}

Step-by-step explanation:

According to my research, the formula for the Area of a rectangle is the following,

A = L*W

Where

  1. A is the Area
  2. L is the length
  3. W is the width

Since the building wall is acting as one side length of the rectangle. We are left with 1 length and 2 width sides. To maximize the Area of the parking lot we will need to equally divide the 800 ft of fencing between the <u>Length and Width.</u>

800 / 2 = 400ft

So We have 400 ft for the length and 400 ft for the width. Since the width has 2 sides we need to divide 60 by 2.

400/2 = 200 ft

Now we can calculate the maximum Area using the values above.

A = 400ft*200ft

A = 80,000ft^{2}

So the Maximum area we are able to create with 800 ft of fencing is 80,00ft^{2}

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Read more on Brainly.com - brainly.com/question/12953427#readmore

3 0
3 years ago
What is the value of a in the diagram below?​
adell [148]

Answer:

a=8

Step-by-step explanation:

We can use ratios of similar triangles to solve

The smaller triangle has sides a and 12  and the larger triangle has sides a+a+4  and 12+18  which combine to 2a+4  and 30

a               2a +4

--------- = -----------

12            30

Using cross products

30a = 12(2a+4)

30a = 24a +48

Subtract 24a from each side

30a -24a = 24a-24a +48

6a = 48

Divide each sdie by 6

6a/6 =48/6

a =8

7 0
3 years ago
What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABC ≅ ∠ABD definition of
Margarita [4]

Answer:

the answer is  definition of angle bisector

Step-by-step explanation:


8 0
3 years ago
6m−7)⋅4=left parenthesis, 6, m, minus, 7, right parenthesis, dot, 4, equals ¿Atorado?
mars1129 [50]

Answer:

24m - 28

Step-by-step explanation:

Given the expression (6m−7)⋅4, we are to simplify it. Using the distributive law;

A(B+C) = AB + AC [A is distributed over B and C]

For the expression (6m−7)⋅4, we will distribute 4 over 6m and -7 as shown;

(6m−7)⋅4 = 4(6m) - 4(7)

(6m−7)⋅4 = 24m - 28

Hence (6m−7)⋅4 = 24m - 28

7 0
3 years ago
Other questions:
  • A circular light fixture has a radius of 20 centimeters. what is the circumference of the light fixture? use 22/7 for pi
    7·1 answer
  • The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax wer
    7·2 answers
  • Y = x + 3<br>2y = 2x + 6​
    5·1 answer
  • Fiona joins a fruit of the month club. The entry cost is $25 and then she pays $18 per month. If she participates for 8 months,
    15·2 answers
  • Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkboo
    13·2 answers
  • Given the parent function f(x)=x^2 give the best description of the graph of y=x^3+3. a. expanded vertically by a factor of 5 c.
    15·2 answers
  • I need help please I don't understand it
    7·1 answer
  • Find the slope and the y-intercept for the line. y=2/5x
    13·1 answer
  • How many sides does each regular polygon have if the measure of each interior angle is 160
    11·1 answer
  • Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 14 small cakes per hour. The kitchen i
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!