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
iVinArrow [24]
2 years ago
15

Learning Task 3

Mathematics
1 answer:
ASHA 777 [7]2 years ago
5 0

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. Distance = 3682km

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. L < 38m

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

Perimeter = 160

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

Perimeter = x + x + 1 + x + 2 + x + 3

This gives:

160 = x + x + 1 + x + 2 + x + 3

Collect Like Terms

160 -1-2-3= x+x+x+x

154= 4x

Divide both sides by 4

38.5 = x

x =38.5

<em>So, the sides are: 38.5, 39.5, 40.5 and 41.5</em>

<em></em>

Solving (b):

Given

Presently: Inzo = 10 + Miz

Five years ago: Miz - 5= \frac{1}{3} * (Inzo-5) --- (Missing from the question)

Required: Determine their present ages

Substitute 10 + Miz for Inzo in the second equation

Miz - 5 = \frac{1}{3} * (10 + Miz - 5)

Miz - 5 = \frac{1}{3} * (Miz + 5)

Multiply both sides by 3

3Miz - 15 = Miz + 5

Collect Like Terms

3Miz -Miz = 15  + 5

2Miz= 20

Divide both sides by 2

Miz = 10

Substitute 10 for Miz in Inzo = 10 + Miz

Inzo = 10 + 5

Inzo = 15

<em>So presently, Inzo is 15 years old and Miz is 10 years old</em>

Solving (3):

Given

Express Train:

Speed = 100kph

Time = t

Local Train:

Speed = 45kph

Time = t + 45

Required: Determine the distance between A and B

Distance is calculated as:

Distance = Speed * Time

For the express train:

Distance = 100 * t

For the local train

Distance = 45 * (45 + t)

Distance between both stations are equal; So,

100 * t = 45 * (45 + t)

100 t = 2025 + 45t

Collect Like Terms

100 t -45t= 2025

55t= 2025

Divide by 55

t = 36.82

Substitute 36.82 for t in Distance = 100 * t

Distance = 100 * 36.82

Distance = 3682km

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: n + n + 2 > 24

Sum less than 60: n + n + 2 < 60

So, we have:

n + n + 2 > 24

2n + 2 > 24

Collect Like Terms

2n > 24-2

2n > 22

n > 11

n + n + 2 < 60

2n + 2< 60

Collect Like Terms

2n < 60-2

2n < 58

Divide by 2

n

So, we have:

n > 11 and n < 29

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

Perimeter < 152m

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

Perimeter =4 * L

Perimeter =4  L

So, we have:

4L < 152m

Divide through by 4

L < 38m

Hence, length is less than 38m (e.g. 37m)

You might be interested in
gary is making a cakerecipe that requires 3/4 cup of flour. But gary wants to make the cake half of the size that the recipe cal
vfiekz [6]

Answer:

0.375 cups or 3/8

Step-by-step explanation:

divide 3/4, or 0.75 by 2!

8 0
3 years ago
What is the expression equivalent to 64 - x^2
Murrr4er [49]

Answer: -(x+8)(x-8)

Step-by-step explanation:

-(x^2-64)

x^2-8^2x^2

x^2-8^2=(x+8)(x-8)

-(x+8)(x-8)

8 0
3 years ago
Read 2 more answers
Find the slope of a line parallel to a line that contains the points (8, -3) and (2, 5).
Illusion [34]

Answer:

-\frac{4}{3}(Your answer choices were really confusing, so I just put the plain answer)

Step-by-step explanation:

To find the slope of a line with just two points, we can use the formula \frac{y2-y1}{x2-x1}. In this case, \frac{5-(-3)}{2-8}. This is \frac{8}{-6}. This reduces to -\frac{4}{3}

8 0
2 years ago
Which is a square matrix?
Otrada [13]
A square matrix has the same number of rows as columns. In computer graphics, square matrices are used for transformations. A rectangular matrix is one where the number of rows or columns may not be the same. ... Below is a 4 x 1 column matrix. A row matrix consists of a single row.
6 0
3 years ago
What multiplied by what multiplied by what multiplied by what equals 62
kow [346]

(2.806066) x (2.806066) x (2.806066) x (2.806066) = 61.99998  (rounded)

6 0
3 years ago
Read 2 more answers
Other questions:
  • It was 9/20 ..
    8·1 answer
  • 75,910,000,000 in scientific notation
    13·1 answer
  • The employer of a tipped employee is only required to pay $2.13 per hour. true or false?
    15·1 answer
  • Line segment EF has a lenth if 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.
    13·1 answer
  • Order: give Ceclor (cefaclor) 250 mg PO every 8 hours.
    11·1 answer
  • Evaluate the expression. 2x – 19, when x = –11 3 –41 –3 41
    8·1 answer
  • 9x 2 = 6 what is x?​
    14·1 answer
  • PLS HELP asap .........
    6·1 answer
  • Which of the following ratlos is not equivalent to 6:10?
    15·1 answer
  • Do you know how to use the Pythagorean identity?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!